INDICE Sistema internacional Tabla A1 Masa molar, constante de gas y propiedades del punto crítico Tabla A2 Calores esp
Views 267 Downloads 32 File size 5MB
INDICE Sistema internacional Tabla A1 Masa molar, constante de gas y propiedades del punto crítico Tabla A2
Calores específicos a) A 300 K de diversos gases b) Aire a diversas temperaturas Dióxido de carbono a diversas temperaturas Hidrógeno a diversas temperaturas Monóxido de carbono a diversas temperaturas Nitrógeno a diversas temperaturas Oxígeno a diversas temperaturas c) Como función de la temperatura de diversos gases
Tabla A3
Propiedades de líquidos, sólidos y alimentos comunes a) Líquidos. b) Sólidos c) Alimentos
Tabla A4
Agua saturada-tabla de temperaturas
Tabla A5
Agua saturada-tabla de presiones
Tabla A6
Agua sobrecalentada
Tabla A7
Agua Líquida comprimida
Tabla A8
Hielo saturado-vapor de agua
Figura A9
Diagrama T-s para el agua
Figura A10
Diagrama de Mollier para el agua
Tabla A11
Refrigerante 134a saturado - Tabla de temperatura
Tabla A12
Refrigerante 134a saturado - Tabla de presión
Tabla A13
Refrigerante 134a sobrecalentado
Figura A14
Diagrama a P-h para el refrigerante 134a
Tabla A15
Funciones unidimensionales isoentrópicas de flujo comprensible para un gas ide
Tabla A16
Funciones unidimensionales de choque normal para un gas ideal con calores esp
1 de 211
10/08/2017
Tabla A17
Propiedades de gas ideal del aire
Tabla A18
Propiedades de gas ideal del nitrógeno, N2
Tabla A19
Propiedades de gas ideal del oxígeno, O2
Tabla A20
Propiedades de gas ideal del dióxido de carbono, CO2
Tabla A21
Propiedades de gas ideal del monóxido de carbono, CO
Tabla A22
Propiedades de gas ideal del hidrógeno, H2
Tabla A23
Propiedades de gas ideal del vapor de agua, H20
Tabla A24
Propiedades de gas ideal del oxígeno monoatómico, O
Tabla A25
Propiedades de gas ideal del hidroxilo, OH
Tabla A26
Entalpía de formación, función de Gibbs de formación y entropía absolutaa 25°C,
Tabla A27
Propiedades de algunos combustibles e hidrocarburos comunes
Tabla A28
Logaritmos base q de la constante de equilibrio Kp
Tabla A29
Propiedades de la atmósfera a gran altitud
Figura A30
Gráfica generalizada de compresibilidad de Nelson-Obert a) Gráfica generalizada de compresibilidad de Nelson-Obert-bajas presiones.
b) Gráfica generalizada de compresibilidad de Nelson-Obert-presiones intermedia c) Gráfica generalizada de compresibilidad de Nelson-Obert-presiones altas. Figura A31
Gráfica generalizada de desviación de entalpía.
Figura A32
Gráfica generalizada de desviación de entalpía.
Figura A33
Gráfica psicométrica a 1 atm de presión total.
Sistema Inglés Tabla A1E Tabla A2E
Masa molar, constante de gas y propiedades del punto crítico Calores específicos a) A 80 F de diversos gases b) Aire a diversas temperaturas Dióxido de carbono a diversas temperaturas Hidrógeno a diversas temperaturas Monóxido de carbono a diversas temperaturas Nitrógeno a diversas temperaturas Oxígeno a diversas temperaturas
c) Como función de la temperatura de diversos gases
2 de 211
10/08/2017
Tabla A3E
Tabla A4E Tabla A5E Tabla A6E Tabla A7E Tabla A8E Figura A9E
Propiedades de líquidos, sólidos y alimentos comunes a) Líquidos b) Sólidos c) Alimentos comunes Agua saturada-tabla de temperaturas Agua saturada-tabla de presiones Agua sobrecalentada Agua Líquida comprimida Hielo saturado-vapor de agua Diagrama T-s para el agua
Figura A10E Diagrama de Mollier para el agua Tabla A11E
Refrigerante 134a saturado - Tabla de temperatura
Tabla A12E
Refrigerante 134a saturado - Tabla de presión
Tabla A13E
Refrigerante 134a sobrecalentado
Figura A14E Diagrama a P-h para el refrigerante 134a Tabla A17E
Propiedades de gas ideal del aire
Tabla A18E
Propiedades de gas ideal del nitrógeno, N2
Tabla A19E
Propiedades de gas ideal del oxígeno, O2
Tabla A20E
Propiedades de gas ideal del dióxido de carbono, CO2
Tabla A21E
Propiedades de gas ideal del monóxido de carbono, CO
Tabla A22E
Propiedades de gas ideal del hidrógeno, H2
Tabla A23E
Propiedades de gas ideal del vapor de agua, H20
Tabla A26E
Entalpía de formación, función de Gibbs de formación y entropía absoluta a 25°C,
Tabla A27E
Propiedades de algunos combustibles e hidrocarburos comunes
Tabla A29E
Propiedades de la atmósfera a gran altitud
Figura A33E Gráfica psicométrica a 1 atm de presión total.
3 de 211
10/08/2017
Tablas Termodinámicas
Tabla A1 (Sistema Internacional)
TABLA A1 Masa molar, constante de gas y propiedades del punto crítico
Sustancia Amoniaco Agua Aire
Fórmula NH3 H2O
Masa molar kg/kmol
R kJ/(kg•K)
Temperatura Presión Volumen K MPa m3/kmol
17.03
0.4882
405.5
11.28
0.0724
18.015 28.97
0.4615 0.2870
647.3 -
22.09 -
0.0568 -
Alcohol etílico
C2H5OH
46.07
0.1805
516
6.38
0.1673
Alcohol metílico
CH3OH
32.042
0.2595
513.2
7.95
0.1180
Argón
39.948
0.2081
151
4.86
0.0749
Benceno
Ar C6H6
78.115
0.1064
562
4.92
0.2603
Bromo
Br2
159.808
0.0520
584
10.34
0.1355
Cloro
CI2
70.906
0.1173
417
7.71
0.1242
Cloroformo
CHCI3
119.38
0.06964
536.6
5.47
0.2403
Cloruro metílico
CH3Cl
50.488
0.1647
416.3
6.68
0.1430
Deuterio (normal)
D2
4.00
2.0785
38.4
1.66
---------
Diclorodifluorometano (R-12)
CCI2F2
120.91
0.06876
384.7
4.01
0.2179
Diclorofluorometano
CHCI2F
102.92
0.08078
451.7
5.17
0.1973
Dióxido de azufre
SO2
64.063
0.1298
430.7
7.88
0.1217
Dióxido de carbono
CO2
44.01
0.1889
304.2
7.39
0.0943
Etano
C2H6
30.070
0.2765
305.5
4.88
0.1480
Etileno Helio
C2H4
28.054 4.003
0.2964 2.0769
282.4 5.3
5.12 0.23
0.1242 0.0578
2.016
4.1240
33.3
1.30
0.0649
83.80
0.09921
209.4
5.50
0.0924
16.043 28.011
0.5182 0.2968
191.1 133
4.64 3.50
0.0993 0.0930
Ne
58.124 20.183
0.1430 0.4119
425.2 44.5
3.80 2.73
0.2547 0.0417
n-Hexano
C6H14
86.178
0.09647
507.9
3.03
0.3677
Nitrógeno
N2
28.013
0.2968
126.2
3.39
0.0899
Óxido nitroso
N2O
44.013
0.1889
309.7
7.27
0.0961
Oxígeno
O2
31.999
0.2598
154.8
5.08
0.0780
Propano
C3H8
44.097
0.1885
370
4.26
0.1998
Propeno
C3H6
42.081
0.1976
365
4.62
0.1810
Propino
C3H4
40.065
0.2075
401
5.35
-------
Hidrógeno (normal) Kriptón Metano Monóxido de carbono n-Butano Neón
He H2 Kr CH4 CO C4H10
4 de 211
10/08/2017
Tablas Termodinámicas
Tabla A1 (Sistema Internacional)
Tetracloruro de carbón
CCl4
153.82
0.05405
556.4
4.56
0.2759
Triclorofluorometano Xenón
CCl3F
137.37 131.30
0.06052 0.06332
471.2 289.8
4.38 5.88
0.2478 0.1186
Xe
*La unidad en kJ/(kg•K) es equivalente a kPa•m3(kg•K). La constante del gas se calcula de R=Ru/M, donde Ru=8.314 kJ/ (kmol•K) y M es la masa molar. Fuente: Gordon J. Van Wylen y Richard E. Sonntag, Fundamentals of Classical Thermodinamics, versión inglés/Sl, 3a. ed., Wiley. Nueva York, 1986, p. 687, tabla A.6SI. Publicado originalmente en K. A. Kobe y R. E. Lynn, Jr., Chemical Review, vol. 52, pp. 117-236, 1953
5 de 211
10/08/2017
Tablas Termodinámicas
Tabla A2a (Sistema Internacional)
TABLA A2 Calores específicos de gas ideal de varios gases comunes a) A 300 K Gas Aire Argón Butano
Fórmula Ar C4H10
Constante de gas R kJ/(kg • K) 0.2870 0.2081
Cp0
Cv0
kJ/(kg • K) kJ/(kg • K) 1.005 0.718 0.5203 0.3122
k 1.400 1.667
0.1433
1.7164
1.5734
1.091
Dióxido de carbono
CO2
0.1889
0.846
0.657
1.289
Etano
C2H6
0.2765
1.7662
1.4897
1.186
Etileno Helio
C2H4
0.2964 2.0769
1.5482 5.1926
1.2518 3.1156
1.237 1.667
4.1240
14.307
10.183
1.405
0.5182 0.2968
2.2537 1.040
1.7354 0.744
1.299 1.400
Hidrógeno
He H2
Metano Monóxido de carbono
CH4
Neón
0.4119
1.0299
0.6179
1.667
Nitrógeno
Ne N2
0.2968
1.039
0.743
1.400
Octano
C8H18
0.0729
1.7113
1.6385
1.044
Oxígeno
O2
0.2598
0.918
0.658
1.395
Propano
C3H8
0.1885
1.6794
1.4909
1.126
CO
H2O
Vapor 0.4615 1.8723 1.4108 1.327 Fuente: Gordon J. Van Wylen y Richard E. Sonntag, Fundamentals of Classical Thermodinamics, versión inglés/Sl, 3a. ed., Wiley. Nueva York, 1986, p. 687, tabla A.8SI.
6 de 211
10/08/2017
Tablas Termodinámicas
Tabla A2b (Sistema Internacional)
TABLA A2 (Continuación) Calores específicos de gas ideal de varios gases comunes b) A diversas temperaturas Temperatura K 250 300 350 400 450
Cp0
Cv0
kJ/ (kg•K) kJ/(kg•K) Aire 1.003 0.716 1.005 0.718 1.008 0.721 1.013 0.726 1.020 0.733 0.742 0.753 0.764 0.776 0.788
k
Cp0
Cv0
k
kJ/(kg• K) kJ/(kg• K) Dióxido de carbono, CO2
Cp0
Cv0
0.767 0.778 0.790 0.803 0.816
k kJ/(kg•K) kJ/(kg•K) Monóxido de carbono, CO 1.039 0.743 1.400 1.040 0.744 1.399 1.043 0.746 1.398 1.047 0.751 1.395 1.054 0.757 1.392
1.401 1.400 1.398 1.395 1.391
0.791 0.846 0.895 0.939 0.978
0.602 0.657 0.706 0.750 0.790
1.314 1.288 1.268 1.252 1.239
1.387 1.381 1.376 1.370 1.364
1.014 1.046 1.075 1.102 1.126
0.825 0.857 0.886 0.913 0.937
1.229 1.220 1.213 1.207 1.202
1.063 1.075 1.087 1.100 1.113
1.197 1.193 1.186 1.181
1.126 1.139 1.163 1.185
500 550 600 650 700
1.029 1.040 1.051 1.063 1.075
750 800 900 1000
1.087 0.800 1.099 0.812 1.121 0.834 1.142 0.855 Hidrógeno, H2
1.359 1.354 1.344 1.336
1.148 1.169 1.204 1.234
250 300 350 400 450
14.051 14.307 14.427 14.476 14.501
9.927 10.183 10.302 10.352 10.377
1.416 1.405 1.400 1.398 1.398
1.039 1.039 1.041 1.044 1.049
0.742 0.743 0.744 0.747 0.752
1.400 1.400 1.399 1.397 1.395
0.913 0.918 0.928 0.941 0.956
0.653 0.658 0.668 0.681 0.696
1.398 1.395 1.389 1.382 1.373
500 550 600 650 700
14.513 14.530 14.546 14.571 14.604
10.389 10.405 10.422 10.447 10.480
1.397 1.396 1.396 1.395 1.394
1.056 1.065 1.075 1.086 1.098
0.759 0.768 0.778 0.789 0.801
1.391 1.387 1.382 1.376 1.371
0.972 0.988 1.003 1.017 1.031
0.712 0.728 0.743 0.758 0.771
1.365 1.358 1.350 1.343 1.337
750 800 900 1000
14.645 14.695 14.822 14.983
10.521 10.570 10.698 10.859
1.392 1.390 1.385 1.380
1.110 1.121 1.145 1.167
0.813 0.825 0.849 0.870
1.365 1.360 1.349 1.341
1.043 1.054 1.074 1.090
0.783 0.794 0.814 0.830
1.332 1.327 1.319 1.313
0.959 0.980 1.015 1.045 Nitrógeno, N2
0.829 0.842 0.866 0.888 Oxígeno, O2
1.387 1.382 1.376 1.370 1.364 1.358 1.353 1.343 1.335
Fuente: Kenneth Wark, Thermodynamics, 4a. ed., McGraw-Hill, Nueva York, 1983, p. 783, tabla A4M, Publicada originalmente en Tables of Thermal Properties of Gases, NBS Circ. 564, 1955.
7 de 211
10/08/2017
Tablas Termodinámicas
Tabla A2c (Sistema Internacional)
TABLA A2 (Continuación) Calores específicos de gas ideal de varios gases comunes c) como función de la temperatura
T a
Cp0 a bT cT 2 dT 3
en K, en Cp0 kJ / ( kmol K)
b
c
Nivel de temp. K
Sustancia
Fórmula
Vapor de Agua
H2O
32.24
0.1923 x 10-2
1.055 x 10-5
-3.595 x 10-9
273-1800
Acetilieno
C2H2
21.8
9.2143 x 10-2
-6.527 x 10-5
18.21 x 10-9
273-1500
Ácido clorhídrico
HCl
30.33
-0.7620 x 10-2
1.327 x 10-5
-4.338 x 10-9
273-1500
Aire
-
28.11
0.1967 x 10-2
0.4802 x 10-5
-1.966 x 10-9
273-1800
Amoniaco
NH3
27.57
2.5630 x 10
Azufre
S2
27.21
Benceno
C6H6
-36.2
Dióxido de azufre
SO2
25.78
5.795 x 10-2
Dióxido de carbono
CO2
22.26
Dióxido nitrógeno
NO2
Etano
C2H6
Etanol
0.99072 x 10
d
-6.6909 x 10
-9
273-1500
-1.628 x 10-5
3.986 x 10-9
273-1800
-31.57 x 10
77.62 x 10
-9
273-1500
-3.812 x 10-5
8.612 x 10-9
273-1800
5.981 x 10-2
-3.501 x 10-5
7.469 x 10-9
273-1800
22.9
5.715 x 10
-3.52 x 10
7.87 x 10
-9
273-1500
6.900
17.27 x 10-2
-6.406 x 10-5
7.285 x 10-9
273-1500
C2H5OH
19.9
20.96 x 10
-10.38 x 10
20.05 x 10
-9
273-1500
Etileno
C2H4
3.95
15.64 x 10-2
-8.344 x 10-5
17.67 x 10-9
273-1500
Hidrógeno
H2
29.11
-0.1967 x 10-2
0.4003 x 10-5
-0.8704 x 10-9
273-1800
i-Butano
C4H10
-7.91
41.60 x 10-2
-23.01 x 10-5
49.91 x 10-9
273-1500
Metano
CH4
19.89
5.024 x 10-2
1.269 x 10-5
-11.01 x 10-9
273-1500
Metanol
CH4O
19.0
9.152 x 10-2
-1.22 x 10-5
-8.039 x 10-9
273-1000
28.16
0.1675 x 10-2
0.5372 x 10-5
-2.222 x 10-9
273-1800
Monóxido de carbono CO
-2
2.218 x 10-2 48.475 x 10
-2
-2
-2
-5
-5
-5
-5
n-Butano
C4H10
3.96
37.15 x 10-2
-18.34 x 10-5
35.00 x 10-9
273-1500
n-Hexano
C6H14
6.938
55.22 x 10-2
-28.65 x 10-5
57.69 x 10-9
273-1500
Nitrógeno
N2
28.90
-0.1571 x 10-2
0.8081 x 10-5
-2.873 x 10-9
273-1800
n-Pentano
C5H12
6.774
45.43 x 10-2
-22.46 x 10-5
42.29 x 10-9
273-1500
Óxido nítrico
NO
29.34 -0.09395 x 10-2
0.9747 x 10-5
-4.187 x 10-9
273-1500
Óxido nitroso
N2O
24.11
-3.562 x 10
10.58 x 10
273-1500
5.8632 x 10
-2
8 de 211
-5
-9
10/08/2017
Tablas Termodinámicas
Tabla A2c (Sistema Internacional)
Oxígeno
O2
25.48
1.520 x 10-2
-0.7155 x 10-5
1.312 x 10-9
273-1800
Propano
C3H8
-4.04
30.48 x 10-2
-15.72 x 10-5
31.74 x 10-9
273-1500
Propileno
C3H6
3.15
23.83 x 10
-12.18 x 10
24.62 x 10
-9
273-1500
Trióxido de azufre
SO3
16.40
14.58 x 10-2
32.42 x 10-9
273-1300
-2
-5
-11.20 x 10-5
Fuente:B. G. Kyle, Chemical and Process Thermodynamics, Prentice-Hall, Englewood Cliffs, N.J., 1984. Empleada con permisa
9 de 211
10/08/2017
Tablas Termodinámicas
Tabla A2c (Sistema Internacional)
% error Máx Prom ###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
###
10 de 211
10/08/2017
Tablas Termodinámicas
Tabla A2c (Sistema Internacional)
###
###
###
###
###
###
###
###
Thermodynamics, Prentice-Hall, Englewood Cliffs, N.J., 1984. Empleada con
11 de 211
10/08/2017
Tablas Termodinámicas
Tabla A3a (Sistema Internacional)
TABLA A3 Propiedades de líquidos, sólidos y alimentos comunes a) Líquidos Datos de ebullición a 1 atm
Datos de congelación
Propiedades de líquido
Calor latente de Punto Calor latente Punto vaporización, normal de de conge- de fusión, Temp., Densidad h kJ/kg r kg/m3 Sustancia ebullición, °C fg lación, °C hfg kJ/kg °C Aceite (ligero) 25 910 Agua 100 2257 0.0 334 0 1000 25 997 50 988 75 975 100 958 Alcohol etílico 78.6 855 -156 108 20 789 Amoniaco -33.3 1357 -77.7 322 -33.3 682 -20 665 0 639 25 602 Argón -185.9 161.6 -189.3 28 -186 1394 Benceno 80.2 394 5.5 126 20 879 Dióxido de Carbono -78.4 * 230.5 (a 0°C -56.6 0 298 Etanol 78.2 838.3 -114.2 109 25 783 Etilén glicol 198.1 800.1 -10.8 181 20 1109 Glicerina 179.9 974 18.9 201 20 1261 Helio -268.9 22.8 — — -269 ### Hidrógeno -252.8 445.7 -259.2 59.5 -253 70.7 Isobutano -11.7 367.1 -160 106 -11.7 ### Mercurio 356.7 294.7 -38.9 11.4 25 ### Metano -161.5 510.4 -182.2 58.4 -162 423 -100 301 Metanol 64.5 1100 -97.7 99.2 25 787 n-Butano -0.5 385.2 -138.5 80.3 -0.5 601 Nitrógeno -195.8 198.6 -210 25.3 -196 809 -160 596 Octano 124.8 306.3 -57.5 181 20 703 Oxígeno -183 212.7 -218.8 13.7 -183 1141 Petróleo — 230-384 20 640 Propano -42.1 427.8 -187.7 80 -42.1 581 0 529 Queroseno 204-293 251 -24.9 — 50 449 Refrigerante 134a -26.1 216.8 -96.6 — 20 820 -50 1443 -26.1 1374 0 1294 25 1206 Salmuera (20% de cloruro de sodio por masa)
103.9
—
12 de 211
-17.4
—
20
1150
10/08/2017
Tablas Termodinámicas
Tabla A3a (Sistema Internacional)
* Temperatura de sublimación. ( A presiones por debajo de las presión de punto triple 518 kPa, el dióxido de carbono existe como sólido o como gas. También, la temperatura de punto de congelamiento del dióxido de carbono es la temperatura de punto triple de -56.5 °C.)
13 de 211
10/08/2017
Tablas Termodinámicas
Tabla A3a (Sistema Internacional)
Propiedades de líquido Calor específico, Cp kJ/kg • °C 1.80 4.23 4.18 4.18 4.19 4.22 2.84 4.43 4.52 4.60 4.80 1.14 1.72 0.59 2.46 2.84 2.32 22.80 10.0 2.28 0.139 3.49 5.79 2.55 2.31 2.06 2.97 2.10 1.71 2.0 2.25 2.53 3.13 2.00 1.23 1.27 1.34 1.42
3.11
14 de 211
10/08/2017
Tablas Termodinámicas
Tabla A3a (Sistema Internacional)
or debajo de las presión de punto triple 518 kPa, el dióxido de carbono existe ura de punto de congelamiento del dióxido de carbono es la temperatura de
15 de 211
10/08/2017
Tablas Termodinámicas
Tabla A3b (Sistema Internacional)
TABLA A3 (Continuación) Propiedades de líquidos, sólidos y alimentos comunes b) Sólidos (los valores son para temperatura ambiente a menos que se indique otra cosa) Metales No metales C r p Sustancia Acero dulce Aluminio 200 K 250 K 300 K 350 K 400 K 450 K 500 K Bronce (76% Cu, 2% Zn, 2% Al) Cobre -173 °C -100 °C -50 °C 0 °C 27 °C 100 °C 200 °C Hierro Latón amarillo (655 Cu, 35% Zn) Magnesio Níquel Plata Plomo Tungsteno
kg/m kJ/(kg•°C) 7,830 0.500 3
0.797 0.859 2,700 0.902 0.929 0.949 0.973 0.997 8,280 0.400
8,900
7,840 8,310 1,730 8,890 10,470 11,310 19,400
0.254 0.342 0.367 0.381 0.386 0.393 0.403 0.45 0.400 1.000 0.440 0.235 0.128 0.130
Sustancia Arena Arcilla Asfalto Caucho(blando) Caucho (duro) Concreto Diamante Grafito Granito Hielo 200 K 220 K 240 K 260 K 273 K Ladrillo común Ladrillo refractario (500°C) Madera contrachapada (abeto Douglas) Maderas duras (maple, encino, etc.) Maderas suaves (abeto, pino, etc.) Mármol Piedra Piedra caliza Vidrio para ventanas Vidrio pirex Yeso o tabla de yeso
16 de 211
r kg/m3 1,520 1,000 2,110 1,100 1,150 2,300 2,420 2,500 2,700
921
1,922 2,300 545 721 513 2,600 1,500 1,650 2,700 2,230 800
10/08/2017
Tablas Termodinámicas
Tabla A3b (Sistema Internacional)
Cp kJ/(kg•°C) 0.800 0.920 0.920 1.840 2.009 0.653 0.616 0.711 1.017 1.56 1.71 1.86 2.01 2.11 0.79 0.960 1.21 1.26 1.38 0.880 0.800 0.909 0.800 0.840 1.09
17 de 211
10/08/2017
Tablas Termodinámicas
Tabla A3c (Sistema Internacional)
TABLA A3 (Continuación) Propiedades de líquidos, sólidos y alimentos comunes c) Alimentos comunes Calor especifico, Cp kJ/(kg•°C)
Alimentos Brócoli Camarón Carne de pollo Carne de res Cerezas
Calor Contenido Punto de Por encima Por debajo latente de de agua, congela- del punto de del punto de fusión, % (masa) ción, °C congelación congelación kJ/Kg 90 -0.6 3.86 1.97 301 83 -2.2 3.62 1.89 277 74 -2.8 3.32 1.77 247 67 — 3.08 1.68 224 80 -1.8 3.52 1.85 267
Espinaca Fresas Huevo entero Leche entera Lechuga
93 90 74 88 95
-0.3 -0.8 -0.6 -0.6 -0.2
3.96 3.86 3.32 3.79 4.02
2.01 1.97 1.77 1.95 2.04
311 301 247 294 317
Maíz dulce Mantecado (helado) Mantequilla Manzanas Naranjas
74 63 16 84 87
-0.6 25.6 — -1.1 -0.8
3.32 2.95 — 3.65 3.75
1.77 1.63 1.04 1.90 1.94
247 210 53 281 291
Papas (patatas) Pavo Plátanos Queso suizo Salmón
78 64 75 39 64
-0.6 -0.8 -10.0 -2.2
3.45 2.98 3.35 2.15 2.98
1.82 1.65 1.78 1.33 1.66
261 214 251 130 214
Sandía Tomates (jitomates) maduros
93 94
-0.4 -0.5
3.96 3.99
2.01 2.02
311 314
18 de 211
10/08/2017
Tablas Termodinámicas
Tabla A4 (Sistema Internacional)
TABLA A4 Agua saturada-tabla de temperaturas
Temp. °C
Pres sat. kPa Psat
Volumen específico m3/kg Líquido Vapor sat. sat. vf vg
Energía interna kJ/kg Líquido Vapor sat. Evap. sat. uf ufg ug
Entalpía kJ/kg
Entropía kJ/(kg • K)
Líquido sat. hf
Evap. hfg
Vapor sat. hg
Líquido sat. sf
Evap. sfg
T 0.01 5 10 15 20
0.6113 0.8721 1.2276 1.7051 2.339
0.001000 0.001000 0.001000 0.001001 0.001002
206.14 147.12 106.38 77.93 57.79
0.00 20.97 42.00 62.99 83.95
2375.3 2361.3 2347.2 2333.1 2319.0
2375.3 2382.3 2389.2 2396.1 2402.9
0.01 20.98 42.01 62.99 83.96
2501.3 2489.6 2477.7 2465.9 2454.1
2501.4 2510.6 2519.8 2528.9 2538.1
0.000 0.0761 0.1510 0.2245 0.2966
9.1562 8.9496 8.7498 8.5569 8.3706
25 30 35 40 45
3.169 4.246 5.628 7.384 9.593
0.001003 0.001004 0.001006 0.001008 0.001010
43.36 32.89 25.22 19.52 15.26
104.88 125.78 146.67 167.56 188.44
2304.9 2290.8 2276.7 2262.6 2248.4
2409.8 2416.6 2423.4 2430.1 2436.8
104.89 125.79 146.68 167.57 188.45
2442.3 2430.5 2418.6 2406.7 2394.8
2547.2 2556.3 2565.3 2574.3 2583.2
0.3674 0.4369 0.5053 0.5725 0.6387
8.1905 8.0164 7.8478 7.6845 7.5261
50 55 60 65 70
12.349 15.758 19.940 25.03 31.19
0.001012 0.001015 0.001017 0.001020 0.001023
12.03 9.568 7.671 6.197 5.042
209.32 230.21 251.11 272.02 292.95
2234.2 2219.9 2205.5 2191.1 2176.6
2443.5 2450.1 2456.6 2463.1 2469.6
209.33 230.23 251.13 272.06 292.98
2382.7 2370.7 2358.5 2346.2 2333.8
2592.1 2600.9 2609.6 2618.3 2626.8
0.7038 0.7679 0.8312 0.8935 0.9549
7.3725 7.2234 7.0784 6.9375 6.8004
75 80 85 90 95
38.58 47.39 57.83 70.14 84.55
0.001026 0.001029 0.001033 0.001036 0.001040
4.131 3.407 2.828 2.361 1.982
313.90 334.86 355.84 376.85 397.88
2162.0 2147.4 2132.6 2117.7 2102.7
2475.9 2482.2 2488.4 2494.5 2500.6
313.93 334.91 355.90 376.92 397.96
2321.4 2308.8 2296.0 2283.2 2270.2
2635.3 2643.7 2651.9 2660.1 2668.1
1.0155 1.0753 1.1343 1.1925 1.2500
6.6669 6.5369 6.4102 6.2866 6.1659
100 105 110 115 120
Press sat. MPa 0.10135 0.12082 0.14327 0.16906 0.19853
0.001044 0.001048 0.001052 0.001056 0.001060
1.6729 1.4194 1.2102 1.0366 0.8919
418.94 440.02 461.14 482.30 503.50
2087.6 2072.3 2057.0 2041.4 2025.8
2506.5 2512.4 2518.1 2523.7 2529.3
419.04 440.15 461.30 482.48 503.71
2257.0 2243.7 2230.2 2216.5 2202.6
2676.1 2683.8 2691.5 2699.0 2706.3
1.3069 1.3630 1.4185 1.4734 1.5276
6.0480 5.9328 5.8202 5.7100 5.6020
125 130 135 140 145
0.2321 0.2701 0.3130 0.3613 0.4154
0.001065 0.001070 0.001075 0.001080 0.001085
0.7706 0.6685 0.5822 0.5089 0.4463
524.74 546.02 567.35 588.74 610.18
2009.9 1993.9 1977.7 1961.3 1944.7
2534.6 2539.9 2545.0 2550.0 2554.9
524.99 546.31 567.69 589.13 610.63
2188.5 2174.2 2159.6 2144.7 2129.6
2713.5 2720.5 2727.3 2733.9 2740.3
1.5813 1.6344 1.6870 1.7391 1.7907
5.4962 5.3925 5.2907 5.1908 5.0926
150 155 160 165 170
0.4758 0.5431 0.6178 0.7005 0.7917
0.001091 0.001096 0.001102 0.001108 0.001114
0.3928 0.3468 0.3071 0.2727 0.2428
631.68 653.24 674.87 696.56 718.33
1927.9 1910.8 1893.5 1876.0 1858.1
2559.5 2564.1 2568.4 2572.5 2576.5
632.20 653.84 675.55 697.34 719.21
2114.3 2098.6 2082.6 2066.2 2049.5
2746.5 2752.4 2758.1 2763.5 2768.7
1.8418 1.8925 1.9427 1.9925 2.0419
4.9960 4.9010 4.8075 4.7153 4.6244
19 de 211
10/08/2017
Tablas Termodinámicas
175 180 185 190 195
0.8920 1.0021 1.1227 1.2544 1.3978
0.001121 0.001127 0.001134 0.001141 0.001149
Tabla A4 (Sistema Internacional)
0.2168 0.19405 0.17409 0.15654 0.14105
740.17 762.09 784.10 806.19 828.37
1840.0 1821.6 1802.9 1783.8 1764.4
2580.2 2583.7 2587.0 2590.0 2592.8
20 de 211
741.17 763.22 785.37 807.62 829.98
2032.4 2015.0 1997.1 1978.8 1960.0
2773.6 2778.2 2782.4 2786.4 2790.0
2.0909 2.1396 2.1879 2.2359 2.2835
4.5347 4.4461 4.3586 4.2720 4.1863
10/08/2017
Tablas Termodinámicas
Tabla A4 (Sistema Internacional)
TABLA A4 (Continuación) Agua saturada-tabla de temperaturas
Pres sat. MPa Psat
Volumen específico m3/kg Líquido Vapor sat. sat. vf vg
Energía interna kJ/kg Líquido Vapor sat. Evap. sat. uf ufg ug
1.5538 1.7230 1.9062 2.104 2.318
0.001157 0.001164 0.001173 0.001181 0.001190
0.12736 0.11521 0.10441 0.09479 0.08619
850.65 873.04 895.53 918.14 940.87
1744.7 1724.5 1703.9 1682.9 1661.5
225 230 235 240 245
2.548 2.795 3.060 3.344 3.648
0.001199 0.001209 0.001219 0.001229 0.001240
0.07849 0.07158 0.06537 0.05976 0.05471
963.73 986.74 1009.89 1033.21 1056.71
250 255 260 265 270
3.973 4.319 4.688 5.081 5.499
0.001251 0.001263 0.001276 0.001289 0.001302
0.05013 0.04598 0.04221 0.03877 0.03564
275 280 285 290 295
5.942 6.412 6.909 7.436 7.993
0.001317 0.001332 0.001348 0.001366 0.001384
300 305 310 315 320
8.581 9.202 9.856 10.547 11.274
0.001404 0.001425 0.001447 0.001472 0.001499
Temp. °C T 200 205 210 215 220
Entalpía kJ/kg
Entropía kJ/(kg • K)
Líquido sat. hf
Evap. hfg
Vapor sat. hg
Líquido sat. sf
Evap. sfg
2595.3 2597.5 2599.5 2601.1 2602.4
852.45 875.04 897.76 920.62 943.62
1940.7 1921.0 1900.7 1879.9 1858.5
2793.2 2796.0 2798.5 2800.5 2802.1
2.3309 2.3780 2.4248 2.4714 2.5178
4.1014 4.0172 3.9337 3.8507 3.7683
1639.6 1617.2 1594.2 1570.8 1546.7
2603.3 2603.9 2604.1 2604.0 2603.4
966.78 990.12 1013.62 1037.32 1061.23
1836.5 1813.8 1790.5 1766.5 1741.7
2803.3 2804.0 2804.2 2803.8 2803.0
2.5639 2.6099 2.6558 2.7015 2.7472
3.6863 3.6047 3.5233 3.4422 3.3612
1080.39 1104.28 1128.39 1152.74 1177.36
1522.0 1596.7 1470.6 1443.9 1416.3
2602.4 2600.9 2599.0 2586.6 2593.7
1085.36 1109.73 1134.37 1159.28 1184.51
1716.2 1689.8 1662.5 1634.4 1605.2
2801.5 2799.5 2796.9 2793.6 2789.7
2.7927 2.8383 2.8838 2.9294 2.9751
3.2802 3.1992 3.1181 3.0368 2.9551
0.03279 0.03017 0.02777 0.02557 0.02354
1202.25 1227.46 1253.00 1278.92 1305.2
1387.9 1358.7 1328.4 1297.1 1264.7
2590.2 2586.1 2581.4 2576.0 2569.9
1210.07 1235.99 1262.31 1289.07 1316.3
1574.9 1543.6 1511.0 1477.1 1441.8
2785.0 2779.6 2773.3 2766.2 2758.1
3.0208 3.0668 3.1130 3.1594 3.2062
2.8730 2.7903 2.7070 2.6227 2.5375
0.02167 0.019948 0.018350 0.016867 0.015488
1332.0 1359.3 1387.1 1415.5 1444.6
1231.0 1195.9 1159.4 1121.1 1080.9
2563.0 2555.2 2546.4 2536.6 2525.5
1344.0 1372.4 1401.3 1431.0 1461.5
1404.9 1366.4 1326.0 1283.5 1238.6
2749.0 2738.7 2727.3 2714.5 2700.1
3.2534 3.3010 3.3493 3.3982 3.4480
2.4511 2.3633 2.2737 2.1821 2.0882
330 12.845 0.001561 0.012996 1505.3 993.7 2498.9 1525.3 1140.6 2665.9 3.5507 1.8909 340 14.586 0.001638 0.010797 1570.3 894.3 2464.6 1594.2 1027.9 2622.0 3.6594 1.6763 350 16.513 0.001740 0.008813 1641.9 776.6 2418.4 1670.6 893.4 2563.9 3.7777 1.4335 360 18.651 0.001893 0.006945 1725.2 626.3 2351.5 1760.5 720.3 2481.0 3.9147 1.1379 370 21.03 0.002213 0.004925 1844.0 384.5 2228.5 1890.5 441.6 2332.1 4.1106 0.6865 374.14 22.09 0.003155 0.003155 2029.6 0 2029.6 2099.3 0 2099.3 4.4298 0 Fuente las tablas de la A-4 a la A-8 se adaptaron de Gordon J. Van Wylen y Richard E. Sonntag, Fundamentals of Classical Themodinamics, versión ingles/SI, 3a, ed., Wiley, Nueva york,1986, p 635-651 Publicada originalmante en Joseph H. Keenan, Frederick, G. Keyes, Philip G. Hill y Joan G. Moore, Steam Tables, Unidades SI, Wiley, Nueva York, 1978.
21 de 211
10/08/2017
Tablas Termodinámicas
Tabla A4 (Sistema Internacional)
Entropía kJ/(kg • K) Vapor sat. sg 9.1562 9.0257 8.9008 8.7814 8.6672 8.5580 8.4533 8.3531 8.2570 8.1648 8.0763 7.9913 7.9096 7.8310 7.7553 7.6824 7.6122 7.5445 7.4791 7.4159
7.3549 7.2958 7.2387 7.1833 7.1296 7.0775 7.0269 6.9777 6.9299 6.8833 6.8379 6.7935 6.7502 6.7078 6.6663
22 de 211
10/08/2017
Tablas Termodinámicas
Tabla A4 (Sistema Internacional)
6.6256 6.5857 6.5465 6.5079 6.4698
23 de 211
10/08/2017
Tablas Termodinámicas
Tabla A4 (Sistema Internacional)
Entropía kJ/(kg • K) Vapor sat. sg 6.4323 6.3952 6.3585 6.3221 6.2861 6.2503 6.2146 6.1791 6.1437 6.1083 6.0730 6.0375 6.0019 5.9662 5.9301 5.8938 5.8571 5.8199 5.7821 5.7437 5.7045 5.6643 5.6230 5.5804 5.5362 5.4417 5.3357 5.2112 5.0526 4.7971 4.4298
e Gordon J. Van Wylen y Richard E. Sonntag, Fundamentals of Classical Nueva york,1986, p 635-651 Publicada originalmante en Joseph H. Keenan, , Steam Tables, Unidades SI, Wiley, Nueva York, 1978.
24 de 211
10/08/2017
Tablas Termodinámicas
Tabla A5 (Sistema Internacional)
TABLA A5 Agua saturada-tabla de presiones
Press. kPa
Temp. Sat. ºC
P 0.6113 1.0 1.5 2.0 2.5
Tsat 0.01 6.98 13.03 17.50 21.08
3.0 4.0 5.0 7.5 10
Volumen específico m3/kg Líquido sat. vf
Vapor sat. vg
Energía interna kJ/kg Líquido sat. uf
Evap ufg
Entalpía kJ/kg
Vapor sat. ug
Líquido sat. hf
Evap hfg
Entropía kJ/(kg • K) Vapor sat. hg
Líquido sat. sf
Evap sfg
0.001000 0.001000 0.001001 0.001001 0.001002
206.14 129.21 87.98 67.00 54.25
0.00 29.30 54.71 73.48 88.48
2375.3 2355.7 2338.6 2326.0 2315.9
2375.3 2385.0 2393.3 2399.5 2404.4
0.01 29.30 54.71 73.48 88.49
2501.3 2484.9 2470.6 2460.0 2451.6
2501.4 2514.2 2525.3 2533.5 2540.0
0.0000 0.1059 0.1957 0.2607 0.3120
9.1562 8.8697 8.6322 8.4629 8.3311
24.08 28.96 32.88 40.29 45.81
0.001003 0.001004 0.001005 0.001008 0.001010
45.67 34.80 28.19 19.24 14.67
101.04 121.45 137.81 168.78 191.82
2307.5 2293.7 2282.7 2261.7 2246.1
2408.5 2415.2 2420.5 2430.5 2437.9
101.05 121.46 137.82 168.79 191.83
2444.5 2432.9 2423.7 2406.0 2392.8
2545.5 2554.4 2561.5 2574.8 2584.7
0.3545 0.4226 0.4764 0.5764 0.6493
8.2231 8.0520 7.9187 7.6750 7.5009
15 20 25 30
53.97 60.06 64.97 69.10
0.001014 0.001017 0.001020 0.001022
10.02 7.649 6.204 5.229
225.92 251.38 271.90 289.20
2222.8 2205.4 2191.2 2179.2
2448.7 2456.7 2463.1 2468.4
225.94 251.40 271.93 289.23
2373.1 2358.3 2346.3 2336.1
2599.1 2609.7 2618.2 2625.3
0.7549 0.8320 0.8931 0.9439
7.2536 7.0766 6.9383 6.8247
40 50 75 Pres MPa 0.100 0.125 0.150 0.175 0.200
75.87 81.33 91.78
0.001027 0.001030 0.001037
3.993 3.240 2.217
317.53 340.44 384.31
2159.5 2143.4 2112.4
2477.0 2483.9 2496.7
317.58 340.49 384.39
2319.2 2305.4 2278.6
2636.8 2645.9 2663.0
1.0259 1.0910 1.2130
6.6441 6.5029 6.2434
99.63 105.99 111.37 116.06 120.23
0.001043 0.001048 0.001053 0.001057 0.001061
1.6940 1.3749 1.1593 1.0036 0.8857
417.36 444.19 466.94 486.80 504.49
2088.7 2069.3 2052.7 2038.1 2025.0
2506.1 2513.5 2519.7 2524.9 2529.5
417.46 444.32 467.11 486.99 504.70
2258.0 2241.0 2226.5 2213.6 2201.9
2675.5 2685.4 2693.6 2700.6 2706.7
1.3026 1.3740 1.4336 1.4849 1.5301
6.0568 5.9104 5.7897 5.6868 5.5970
0.225 0.250 0.275 0.300 0.325
124.00 127.44 130.60 133.55 136.30
0.001064 0.001067 0.001070 0.001073 0.001076
0.7933 0.7187 0.6573 0.6058 0.5620
520.47 535.10 548.59 561.15 572.90
2013.1 2002.1 1991.9 1982.4 1973.5
2533.6 2537.2 2540.5 2543.6 2546.4
520.72 535.37 548.89 561.47 573.25
2191.3 2181.5 2172.4 2163.8 2155.8
2712.1 2716.9 2721.3 2725.3 2729.0
1.5706 1.6072 1.6408 1.6718 1.7006
5.5173 5.4455 5.3801 5.3201 5.2646
0.350 0.375 0.40 0.45 0.50
138.88 141.32 143.63 147.93 151.86
0.001079 0.001081 0.001084 0.001088 0.001093
0.5243 0.4914 0.4625 0.4140 0.3749
583.95 594.40 604.31 622.77 639.68
1965.0 1956.9 1949.3 1934.9 1921.6
2548.9 2551.3 2553.6 2557.6 2561.2
584.33 594.81 604.74 623.25 640.23
2148.1 2140.8 2133.8 2120.7 2108.5
2732.4 2735.6 2738.6 2743.9 2748.7
1.7275 1.7528 1.7766 1.8207 1.8607
5.2130 5.1647 5.1193 5.0359 4.9606
0.55 0.60 0.65 0.70
155.48 158.85 162.01 164.97
0.001097 0.001101 0.001104 0.001108
0.3427 0.3157 0.2927 0.2729
655.32 669.90 683.56 696.44
1909.2 1897.5 1886.5 1876.1
2564.5 2567.4 2570.1 2572.5
665.93 670.56 684.28 697.22
2097.0 2086.3 2076.0 2066.3
2753.0 2756.8 2760.3 2763.5
1.8973 1.9312 1.9627 1.9922
4.8920 4.8288 4.7703 4.7158
25 de 211
10/08/2017
Tablas Termodinámicas
Tabla A5 (Sistema Internacional)
0.75
167.78
0.001112
0.2556
708.64
1866.1
2574.7
709.47
2057.0
2766.4
2.0200
4.6647
0.80 0.85
170.43 172.96
0.001115 0.001118
0.2404 0.2270
720.22 731.27
1856.6 1847.4
2576.8 2578.7
721.11 732.22
2048.0 2039.4
2769.1 2771.6
2.0462 2.0710
4.6166 4.5711
26 de 211
10/08/2017
Tablas Termodinámicas
Tabla A5 (Sistema Internacional)
TABLA A5 (Continuación) Agua saturada-tabla de presiones
Press. MPa
Temp. Sat. ºC
P 0.90 0.95 1.00 1.10 1.20
Tsat 175.38 177.69 179.91 184.09 187.99
1.30 1.40 1.50 1.75 2.00
Volumen específico m3/kg Líquido sat. vf
Vapor sat. vg
Energía interna kJ/kg Líquido sat. uf
Evap ufg
Entalpía kJ/kg
Vapor sat. ug
Líquido sat. hf
Evap hfg
Entropía kJ/(kg • K) Vapor sat. hg
Líquido sat. sf
Evap sfg
0.001121 0.001124 0.001127 0.001133 0.001139
0.2150 0.2042 0.19444 0.17753 0.16333
741.83 751.95 761.68 780.09 797.29
1838.6 1830.2 1822.0 1806.3 1791.5
2580.5 2582.1 2583.6 2586.4 2588.8
742.83 753.02 762.81 781.34 798.65
2031.1 2023.1 2015.3 2000.4 1986.2
2773.9 2776.1 2778.1 2781.7 2784.8
2.0946 2.1172 2.1387 2.1792 2.2166
4.5280 4.4869 4.4478 4.3744 4.3067
191.64 195.07 198.32 205.76 212.42
0.001144 0.001149 0.001154 0.001166 0.001177
0.15125 0.14084 0.13177 0.11349 0.09963
813.44 828.70 843.16 876.46 906.44
1777.5 1764.1 1751.3 1721.4 1693.8
2591.0 2592.8 2594.5 2597.8 2600.3
814.93 830.30 844.89 878.50 908.79
1972.7 1959.7 1947.3 1917.9 1890.7
2787.6 2790.0 2792.2 2796.4 2799.5
2.2515 2.2842 2.3150 2.3851 2.4474
4.2438 4.1850 4.1298 4.0044 3.8935
2.25 2.5 3.0 3.5 4
218.45 223.99 233.90 242.60 250.40
0.001187 0.001197 0.001217 0.001235 0.001252
0.08875 933.83 0.07998 959.11 0.06668 1004.78 0.05707 1045.43 0.04978 1082.31
1668.2 1644.0 1599.3 1558.3 1520.0
2602.0 936.49 2603.1 962.11 2604.1 1008.42 2603.7 1049.75 2602.3 1087.31
1865.2 1841.0 1795.7 1753.7 1714.1
2801.7 2803.1 2804.2 2803.4 2801.4
2.5035 2.5547 2.6457 2.7253 2.7964
3.7937 3.7028 3.5412 3.4000 3.2737
5 6 7 8 9
263.99 275.64 285.88 295.06 303.40
0.001286 0.001319 0.001351 0.001384 0.001418
0.03944 0.03244 0.02737 0.02352 0.02048
1147.81 1205.44 1257.55 1305.57 1350.51
1449.3 1384.3 1323.0 1264.2 1207.3
2597.1 2589.7 2580.5 2569.8 2557.8
1154.23 1213.35 1267.00 1316.64 1363.26
1640.1 1571.0 1505.1 1441.3 1378.9
2794.3 2784.3 2772.1 2758.0 2742.1
2.9202 3.0267 3.1211 3.2068 3.2858
3.0532 2.8625 2.6922 2.5364 2.3915
10 11 12 13 14
311.06 318.15 324.75 330.93 336.75
0.001452 0.001489 0.001527 0.001567 0.001611
0.018026 1393.04 0.015987 1433.7 0.014263 1473.0 0.012780 1511.1 0.011485 1548.6
1151.4 1096.0 1040.7 985.0 928.2
2544.4 1407.56 2529.8 1450.1 2513.7 1491.3 2496.1 1531.5 2476.8 1571.1
1317.1 1255.5 1193.3 1130.7 1066.5
2724.7 2705.6 2684.9 2662.2 2637.6
3.3596 3.4295 3.4962 3.5606 3.6232
2.2544 2.1233 1.9962 1.8718 1.7485
15 16 17 18 19
342.24 347.44 352.37 357.06 361.54
0.001658 0.001711 0.001770 0.001840 0.001924
0.010337 0.009306 0.008364 0.007489 0.006657
1585.6 1622.7 1660.2 1698.9 1739.9
869.8 809.0 744.8 675.4 598.1
2455.5 2431.7 2405.0 2374.3 2338.1
1610.5 1650.1 1690.3 1732.0 1776.5
1000.0 930.6 856.9 777.1 688.0
2610.5 2580.6 2547.2 2509.1 2464.5
3.6848 3.7461 3.8079 3.8715 3.9388
1.6249 1.4994 1.3698 1.2329 1.0839
20 21 22 22.09
365.81 369.89 373.80 374.14
0.002036 0.002207 0.002742 0.003155
0.005834 0.004952 0.003568 0.003155
1785.6 1842.1 1961.9 2029.6
507.5 388.5 125.2 0
2293.0 2230.6 2087.1 2029.6
1826.3 1888.4 2022.2 2099.3
583.4 446.2 143.4 0
2409.7 2334.6 2165.6 2099.3
4.0139 4.1075 4.3110 4.4298
0.9130 0.6938 0.2216 0
27 de 211
10/08/2017
Tablas Termodinámicas
Tabla A5 (Sistema Internacional)
Entropía kJ/(kg • K) Vapor sat. sg 9.1562 8.9756 8.8279 8.7237 8.6432 8.5776 8.4746 8.3951 8.2515 8.1502 8.0085 7.9085 7.8314 7.7686 7.6700 7.5939 7.4564
7.3594 7.2844 7.2233 7.1717 7.1271 7.0878 7.0527 7.0209 6.9919 6.9652 6.9405 6.9175 6.8959 6.8565 6.8213 6.7893 6.7600 6.7331 6.7080
28 de 211
10/08/2017
Tablas Termodinámicas
Tabla A5 (Sistema Internacional)
6.6847 6.6628 6.6421
29 de 211
10/08/2017
Tablas Termodinámicas
Tabla A5 (Sistema Internacional)
Entropía kJ/(kg • K) Vapor sat. sg 6.6226 6.6041 6.5865 6.5536 6.5233 6.4953 6.4693 6.4448 6.3896 6.3409 6.2972 6.2575 6.1869 6.1253 6.0701 5.9734 5.8892 5.8133 5.7432 5.6722 5.6141 5.5527 5.4924 5.4323 5.3717 5.3098 5.2455 5.1777 5.1044 5.0228 4.9269 4.8013 4.5327 4.4298
30 de 211
10/08/2017
Tablas Termodinámicas
Tabla A6 (Sistema Internacional)
TABLA A6 Agua sobrecalentada T °C Sat t 50 100 150 200
v u h s m / kg kJ/kg kJ/kg kJ/(kg•K) P = 0.01 MPa (45.81°C) 14.674 2437.9 2584.7 8.1502 14.869 2443.9 2592.6 8.1749 17.196 2515.5 2687.5 8.4479 19.512 2587.9 2783.0 8.6882 21.825 2661.3 2879.5 8.9038 3
v u h s m / kg kJ/kg kJ/kg kJ/(kg•K) P = 0.05 MPa (81.33°C) 3.240 2483.9 2645.9 7.5939 3
3.418 2511.6 3.889 2585.6 4.356 2659.9
2682.5 2780.1 2877.7
7.6947 7.9401 8.1580
v m / kg
u kJ/kg P= 0.10MPa (99.63°C) 1.6940 2506.1
3
1.6958 2506.7 1.9364 2582.8 2.172 2658.1
250 300 400 500 600
24.136 26.445 31.063 35.679 40.295
2736.0 2812.1 2968.9 3132.3 3302.5
2977.3 3076.5 3279.6 3489.1 3705.4
9.1002 9.2813 9.6077 9.8978 10.1608
4.820 5.284 6.209 7.134 8.057
2735.0 2811.3 2968.5 3132.0 3302.2
2976.0 3075.5 3278.9 3488.7 3705.1
8.3556 8.5373 8.8642 9.1546 9.4178
2.406 2.639 3.103 3.565 4.028
2733.7 2810.4 2967.9 3131.6 3301.9
700 800 900 1000
44.911 49.526 54.141 58.757
3479.6 3663.8 3855.0 4053.0
3928.7 4159.0 4396.4 4640.6
10.4028 10.6281 10.8396 11.0393
8.981 9.904 10.828 11.751
3479.4 3663.6 3854.9 4052.9
3928.5 4158.9 4396.3 4640.5
9.6599 9.8852 10.0967 10.2964
4.490 4.952 5.414 5.875
3479.2 3663.5 3854.8 4052.8
1100 1200 1300
63.372 4257.5 4891.2 11.2287 67.987 4467.9 5147.8 11.4091 72.602 4683.7 5409.7 11.5811 P = 0.20 MPa(120.23°C) 0.8857 2529.5 2706.7 7.1272 0.9596 2576.9 2768.8 7.2795 1.0803 2654.4 2870.5 7.5066 1.1988 2731.2 2971.0 7.7086 1.3162 2808.6 3071.8 7.8926
12.674 13.597 14.521 P= 0.6058 0.6339 0.7163 0.7964 0.8753
4257.4 4891.1 10.4859 4467.8 5147.7 10.6662 4683.6 5409.6 10.8382 0.30 MPa (133.55°C) 2543.6 2725.3 6.9919 2570.8 2761.0 7.0778 2650.7 2865.6 7.3115 2728.7 2967.6 7.5166 2806.7 3069.3 7.7022
6.337 6.799 7.260 P= 0.4625 0.4708 0.5342 0.5951 0.6548
1.5493 1.7814 2.013 2.244 2.475
1.0315 1.1867 1.3414 1.4957 1.6499
Sat. 150 200 250 300 400 500 600 700 800 900 1000 1100 1200 1300 Sat. 200 250 300
2966.7 3130.8 3301.4 3478.8 3663.1
3276.6 3487.1 3704.0 3927.6 4158.2
8.2218 8.5133 8.7770 9.0194 9.2449
2.705 3854.5 4395.8 9.4566 2.937 4052.5 4640.0 9.6563 3.168 4257.0 4890.7 9.8458 3.399 4467.5 5147.5 10.0262 3.630 4683.2 5409.3 10.1902 P=0.50 MPa(151.86°C) 0.3749 2561.2 2748.7 6.8213 0.4249 2642.9 2855.4 7.0592 0.4744 2723.5 2960.7 7.2709 0.5226 2802.9 3064.2 7.4599
2965.6 3130.0 3300.8 3478.4 3662.9
3275.0 3486.0 3703.2 3927.1 4157.8
8.0330 8.3251 8.5892 8.8319 9.0576
1.8041 3854.2 4395.4 9.2692 1.9581 4052.3 4639.7 9.4890 2.1121 4256.8 4090.4 9.6585 2.2661 4467.2 5147.1 9.8389 2.4201 4683.0 5409.0 10.0110 P= 0.60 MPa(158.85°C) 0.3157 2567.4 2756.8 6.7600 0.3520 2638.9 2850.1 6.9665 0.3938 2720.9 2957.2 7.1816 0.4344 2801.0 3061.6 7.3724
31 de 211
0.7726 0.8893 1.0055 1.1215 1.2372
4257.3 4467.7 4683.5 0.40 MPa(143.63°C) 2553.6 2564.5 2646.8 2726.1 2804.8 2964.4 3129.2 3300.2 3477.9 3662.4
1.3529 3853.9 1.4685 4052.0 1.5840 4256.5 1.6996 4467.0 1.8151 4682.8 P= 0.80 Mpa (170.43 °C) 0.2404 2576.8 0.2608 2830.6 0.2931 2715.5 0.3241 2797.2
10/08/2017
Tablas Termodinámicas
Tabla A6 (Sistema Internacional)
350
0.5701
2882.6
3167.7
7.6329
0.4742 2881.2
3165.7
7.5464
0.3544 2878.2
400 500 600 700 800
0.6173 0.7109 0.8041 0.8969 0.9896
2963.2 3128.4 3299.6 3477.5 3662.1
3271.9 3483.9 3701.7 3925.9 4156.9
7.7938 8.0873 7.3522 8.5952 8.8211
0.5137 0.5920 0.6697 0.7472 0.8245
2962.1 3127.6 3299.1 3477.0 3661.8
3270.3 3482.8 3700.9 3925.3 4156.5
7.7079 8.0021 8.2674 8.5107 8.7367
0.3843 0.4433 0.5018 0.5601 0.6181
2959.7 3126.0 3297.9 3476.2 3661.1
900 1000 1100 1200 1300
1.0822 1.1747 1.2672 1.3596 1.4521
3853.6 4051.8 4256.3 4466.8 4682.5
4394.7 4639.1 4889.9 5146.6 5408.6
9.0329 9.2328 9.4224 9.6029 9.7749
0.9017 0.9788 1.0559 1.1330 1.2101
3853.4 4051.5 4256.1 4466.5 4682.3
4394.4 4638.8 4889.6 5146.3 5408.3
8.9486 9.1485 9.3381 9.5185 9.6906
0.6761 0.7340 0.7919 0.8497 0.9076
3852.8 4051.0 4255.6 4466.1 4681.8
32 de 211
10/08/2017
Tablas Termodinámicas
Tabla A6 (Sistema Internacional)
TABLA A6 (Continuación) Agua sobrecalentada T °C sat. 200 250 300 350 400 500 600 700 800 900 1000 1100 1200 1300
v u h s m / kg kJ/kg kJ/kg kJ/(kg•K) P = 1.00 MPa (179.91°C) 0.19444 2583.6 2778.1 6.5865 0.2060 2621.9 2827.9 6.6940 0.2327 2709.9 2942.6 6.9247 0.2579 2793.2 3051.2 7.1229 0.2825 2875.2 3157.7 7.3011 3
0.3066 0.3541 0.4011 0.4478 0.4943
2957.3 3124.4 3296.8 3475.3 3660.4
3263.9 3478.5 3697.9 3923.1 4154.7
7.4651 7.7622 8.0290 8.2731 8.4996 8.7118 8.9119 9.1017 9.2822 9.4543
sat. 225 250 300 350
0.5407 3852.2 4392.9 0.5871 4050.5 4637.6 0.6335 4255.1 4888.6 0.6798 4465.6 5145.4 0.7261 4681.3 5407.4 P = 1.60 MPa (201.41°C) 0.12380 2596.0 2794.0 0.13287 2644.7 2857.3 0.14184 2692.3 2919.2 0.15862 2781.1 3034.8 0.17456 2866.1 3145.4
400 500 600 700 800
0.19005 0.2203 0.2500 0.2794 0.3086
900 1000 1100 1200 1300 sat. 225 250 300 350 400
v u h s m / kg kJ/kg kJ/kg kJ/(kg•K) P = 1.20 MPa (187.99°C) 0.16333 2588.8 2784.8 6.5233 0.16930 2612.8 2815.9 6.5898 0.19234 2704.2 2935.0 6.8294 0.2138 2789.2 3045.8 7.0317 0.2345 2872.2 3153.6 7.2121 3
0.2548 0.2946 0.3339 0.3729 0.4118
2954.9 3122.8 3295.6 3474.4 3659.7
3260.7 3476.3 3696.3 3922.0 4153.8
7.3774 7.6759 7.9435 8.1881 8.4148
v u m / kg kJ/kg P = 1.40 MPa (195.07°C) 0.14084 2592.8 0.14302 2603.1 0.16350 2698.3 0.18228 2785.2 0.2003 2869.2 3
0.2178 0.2521 0.2860 0.3195 0.3528
2952.5 3121.1 3294.4 3473.6 3659.0
8.6272 8.8274 9.0172 9.1977 9.3698
6.4218 6.5518 6.6732 6.8844 7.0694
0.4505 3851.6 4392.2 0.4892 4050.0 4637.0 0.5278 4254.6 4888.0 0.5665 4465.1 5144.9 0.6051 4680.9 5407.0 P = 1.80 MPa (207.15°C) 0.11042 2598.4 2797.1 0.11673 2636.6 2846.7 0.12497 2686.0 2911.0 0.14021 2776.9 3029.2 0.15457 2863.0 3141.2
6.3794 6.4808 6.6066 6.8226 7.0100
0.3861 3851.1 0.4192 4049.5 0.4524 4254.1 0.4855 4464.7 0.5186 4680.4 P = 2.00 MPa (212.42°C) 0.09963 2600.3 0.10377 2628.3 0.11144 2679.6 0.12547 2772.6 0.13857 2859.8
7.2374 7.5390 7.8080 8.0535 8.2808
0.16847 0.19550 0.2220 0.2482 0.2742
7.1794 7.4825 7.7523 7.9983 8.2258
0.15120 0.17568 0.19960 0.22320 0.24670
0.3377 3850.5 4390.8 0.3668 4049.0 4635.8 0.3958 4253.7 4887.0 0.4248 4464.2 5143.9 0.4538 4679.9 5406.0 P = 2.50 MPa (223.99°C) 0.07998 2603.1 2803.1 0.08027 2805.6 2806.3 0.08700 2662.6 2880.1 0.09890 2761.6 3008.8 0.10976 2851.9 3126.3
8.4935 8.6938 8.8837 9.0643 9.2364
0.3001 3849.9 4390.1 0.3260 4048.5 4635.2 0.3518 4253.2 4886.4 0.3776 4463.7 5143.4 0.4034 4679.5 5405.6 P = 3.00 MPa (233.90°C) 0.06668 2604.1 2804.2
8.4386 8.6391 8.8290 9.0096 9.1818 6.1869
0.27000 3849.3 0.29330 4048.0 0.31660 4252.7 0.33980 4463.3 0.36310 4679.0 P = 3.50 MPa (242.60°C) 0.05707 2603.7
0.07058 2644.0 0.08114 2750.1 0.09053 2843.7
2855.8 2993.5 3115.3
6.2872 6.5390 6.7428
0.05872 2623.7 0.06842 2738.0 0.07678 2835.3
0.12010
7.0148
0.09936 2932.8
3230.9
6.9212
0.08453 2926.4
2950.1 3119.5 3293.3 3472.7 3658.3
2939.1
3254.2 3472.0 3693.2 3919.7 4152.1
3239.3
6.2575 6.2639 6.4085 6.6438 6.8403
33 de 211
2947.7 3117.9 3292.1 3471.8 3657.6
3250.9 3469.8 3691.7 3918.5 4151.2
2945.2 3116.2 3290.9 3470.9 3657.0
10/08/2017
Tablas Termodinámicas
Tabla A6 (Sistema Internacional)
450 500 600 700
0.13014 0.13993 0.15930 0.17832
3025.5 3112.1 3288.0 3468.7
3350.8 3462.1 3686.3 3914.5
7.1746 7.3234 7.5960 7.8435
0.10787 0.11619 0.13243 0.14838
3020.4 3108.0 3285.0 3466.5
3344.0 3456.5 3682.3 3911.7
7.0834 7.2338 7.5085 7.7571
0.09196 0.09918 0.11324 0.12699
3015.3 3103.0 3282.1 3464.3
800 900 1000
0.19716 0.21590 0.2346
3655.3 3847.9 4046.7
4148.2 4387.6 4633.1
8.0720 8.2853 8.4861
0.16414 3653.5 0.17980 3846.5 0.19541 4045.4
4145.9 4385.9 4631.6
7.9862 8.1999 8.4009
0.14056 3651.8 0.15402 3845.0 0.16743 4044.1
1100 1200 1300
0.2532 0.2718 0.2905
4251.5 4462.1 4677.8
4884.6 5141.7 5404.0
8.6762 8.8569 9.0291
0.21098 4250.3 0.22652 4460.9 0.24206 4676.6
4883.3 5140.5 5402.8
8.5912 8.7720 8.9442
0.18080 4249.2 0.19415 4459.8 0.20749 4675.5
TABLA A6 (Continuación) Agua sobrecalentada T °C sat. 275 300 350 400 450 500 600 700 800
v u h s m / kg kJ/kg kJ/kg kJ/(kg•K) P = 4.00 MPa (250.40°C) 0.04978 2602.3 2801.4 6.0701 0.05457 2667.9 2886.2 6.2285 0.05884 2725.3 2960.7 6.3615 0.06645 2826.7 3092.5 6.5821 0.07341 2919.9 3213.6 6.7690 3
6.9363 7.0901 7.3688 7.6198 7.8502
0.07074 0.07651 0.08765 0.09847 0.10911
8.0647 8.2662 8.4567 8.6376 8.8100
sat. 300 350 400 450
0.13469 3843.6 4382.3 0.14645 4042.9 4628.7 0.15817 4248.0 4880.6 0.16987 4458.6 5138.1 0.18156 4674.3 5400.5 P = 6.00 MPa (275.64°C) 0.03244 2589.7 2784.3 0.03616 2667.2 2884.2 0.04223 2789.6 3043.0 0.04739 2892.9 3177.2 0.05214 2988.9 3301.8
500 550 600 700 800
0.05665 0.06101 0.06525 0.07352 0.08160
900 1000 1100 1200 1300
0.08002 0.08643 0.09885 0.11095 0.12287
3010.2 3099.5 3279.1 3462.1 3650.0
3082.2 3174.6 3266.9 3453.1 3643.1
3330.3 3445.3 3674.4 3905.9 4141.5
v u h s m / kg kJ/kg kJ/kg kJ/(kg•K) P = 4.5 MPa (257.49°C) 0.04406 2600.1 2798.3 6.0198 0.04730 2650.3 2863.2 6.1401 0.05135 2712.0 2943.1 6.2828 0.05840 2817.8 3080.6 6.5131 0.06475 2913.3 3204.7 6.7047 3
3422.2 3540.6 3658.4 3894.2 4132.7
6.8746 7.0301 7.3110 7.5631 7.7942
0.06330 0.06857 0.07869 0.08849 0.09811
8.0091 8.2108 8.4015 8.5825 8.7549
5.8892 6.0674 6.3335 6.5408 6.7193
0.11965 3842.2 4380.6 0.13013 4041.6 4627.2 0.14056 4246.8 4879.3 0.15098 4457.7 5136.9 0.16139 4673.1 5399.4 P = 7.0 MPa (285.88°C) 0.02737 2580.5 2772.1 0.02947 2632.2 2838.4 0.03524 2769.4 3016.0 0.03993 2878.6 3158.1 0.04416 2978.0 3287.1
5.8133 5.9305 6.2283 6.4478 6.6327
0.10762 3840.7 0.11707 4040.4 0.12648 4245.6 0.13587 4456.3 0.14526 4672.0 P = 8.0 MPa (295.06 °C) 0.02352 2569.8 0.02426 2590.9 0.02996 2747.7 0.03432 2863.8 0.03817 2966.7
6.8803 7.0288 7.1677 7.4234 7.6566
0.04814 0.05195 0.05565 0.06283 0.06981
6.7975 6.9486 7.0894 7.3476 7.5822
0.04175 0.04516 0.04845 0.05481 0.06097
34 de 211
3005.0 3095.3 3276.0 3459.9 3648.3
3073.4 3167.2 3260.7 3448.5 3639.5
3323.3 3439.6 3670.5 3903.0 4139.3
v u m / kg kJ/kg P = 5.0 MPa (263.99°C) 0.03944 2597.1 0.04141 2631.3 0.04532 2698.0 0.05194 2808.7 0.05781 2906.6 3
3410.3 3530.9 3650.3 3888.3 4128.2
2999.7 3091.0 3273.0 3457.6 3646.6
3064.3 3159.8 3254.4 3443.9 3636.0
10/08/2017
Tablas Termodinámicas
900 1000 1100 1200 1300
Tabla A6 (Sistema Internacional)
7.8727 8.0751 8.2661 8.4474 8.6199
sat. 325 350 400 450
0.08958 3837.8 4375.3 0.09749 4037.8 4622.7 0.10536 4243.3 4875.4 0.11321 4454.0 5133.3 0.12106 4669.6 5396.0 P = 9.00 MPa (303.40°C) 0.02048 2557.8 2742.1 0.02327 2646.6 2856.0 0.02580 2724.4 2956.6 0.02993 2848.4 3117.8 0.03350 2955.2 3256.6
500 550 600 650 700
0.03677 0.03987 0.04285 0.04574 0.04857
3055.2 3152.2 3248.1 3343.6 3439.3
3386.1 3511.0 3633.7 3755.3 3876.5
6.6576 6.8146 6.9589 7.0943 7.2221
0.03279 0.03564 0.03837 0.04101 0.04358
3045.8 3144.6 3241.7 3338.2 3434.7
3373.7 3500.9 3625.3 3748.2 3870.5
6.5966 6.7561 6.9029 7.0398 7.1687
0.02560 0.02801 0.03029 0.03248 0.03460
800 900 1000
0.05409 0.05950 0.06485
3632.5 3829.2 4030.3
4119.3 4364.8 4614.0
7.4596 7.6783 7.8821
0.04859 3628.9 0.05349 3826.3 0.05832 4027.8
4114.8 4361.2 4611.0
7.4077 7.6272 7.8315
0.03869 3620.0 0.04267 3819.1 0.04658 4021.6
1100 1200 1300
0.07016 0.07544 0.08072
4236.3 4447.2 4662.7
4867.7 5126.2 5389.2
8.0740 8.2556 8.4284
0.06312 4234.0 0.06789 4444.9 0.07265 4460.5
4865.1 5123.8 5387.0
8.0237 8.2055 8.3783
0.05045 4228.2 0.05430 4439.3 0.05813 4654.8
5.6772 5.8712 6.0361 6.2854 6.4844
0.07669 3835.0 4371.8 0.08350 4035.3 4619.8 0.09027 4240.9 4872.8 0.09703 4451.7 5130.9 0.10377 4667.3 5393.7 P = 10.0 MPa (311.06°C) 0.018026 2544.4 2724.7 0.019861 2610.4 2809.1 0.02242 2699.2 2923.4 0.02641 2832.4 3096.5 0.02975 2943.4 3240.9
7.7991 8.0020 8.1933 8.3747 8.5475 5.6141 5.7568 5.9443 6.2120 6.4190
0.06702 3832.1 0.07301 4032.8 0.07896 4238.6 0.08489 4449.5 0.09080 4665.0 P = 12.5 MPa (327.89 °C) 0.013495 2505.1 0.016126 2624.6 0.02000 2789.3 0.02299 2912.5 3021.7 3125.0 3225.4 3324.4 3422.9
TABLA A6 (Continuación) Agua sobrecalentada T °C sat. 350 400 450 500
v u h s m / kg kJ/kg kJ/kg kJ/(kg•K) P = 15.00 MPa (342.24°C) 0.010337 2455.5 2610.5 5.3098 0.011470 2520.4 2692.4 5.4421 0.015649 2740.7 2975.5 5.8811 0.018445 2879.5 3156.2 6.1404 0.02080 2996.6 3308.6 6.3443 3
v u h s m / kg kJ/kg kJ/kg kJ/(kg•K) P = 17.5 MPa (354.75°C) 0.007920 2390.2 2528.8 5.1419
v u m / kg kJ/kg P = 20.0 MPa (365.81 °C) 0.005834 2293.0
0.012447 2685.0 0.015174 2844.2 0.017358 2970.3
2902.9 3109.7 3274.1
5.7213 6.0184 6.2383
0.009942 2619.3 0.012695 2806.2 0.014768 2942.9
3
3
550 600 650 700 800
0.02293 0.02491 0.02680 0.02861 0.03210
3104.7 3208.6 3310.3 3410.9 3610.9
3448.6 3582.3 3712.3 3840.1 4092.4
6.5199 6.6776 6.8224 6.9572 7.2040
0.019288 0.02106 0.02274 0.02434 0.02738
3083.9 3191.5 3296.0 3398.7 3601.8
3421.4 3560.1 3693.9 3824.6 4081.1
6.4230 6.5866 6.7357 6.8736 7.1244
0.016555 0.018178 0.019693 0.02113 0.02385
3062.4 3174.0 3281.4 3386.4 3592.7
900 1000 1100 1200 1300
0.03546 0.03875 0.04200 0.04523 0.04845
3811.9 4015.4 4222.6 4433.8 4649.1
4343.8 4596.6 4852.6 5112.3 5376.0
7.4279 7.6348 7.8283 8.0108 8.1840
0.03031 0.03316 0.03597 0.03876 0.04154
3804.7 4009.3 4216.9 4428.3 4643.5
4335.1 4589.5 4846.4 5106.6 5370.5
7.3507 7.5589 7.7531 7.9360 8.1093
0.02645 0.02897 0.03145 0.03391 0.03636
3797.5 4003.1 4211.3 4422.8 4638.0
35 de 211
10/08/2017
Tablas Termodinámicas
375 0.0019731 400 0.006004 425 0.007881 450 0.009162 500 0.011123 550 600 650 700 800
0.012724 0.014137 0.015433 0.016646 0.018912
900 1000 1100 1200 1300
0.021045 0.02310 0.02512 0.02711 0.02910
375 0.0016407 400 0.0019077 425 0.002532 450 0.003693 500 0.005622
Tabla A6 (Sistema Internacional)
P = 25.00 MPa 1798.7 1848.0 2430.1 2580.2 2609.2 2806.3 2720.7 2949.7 2884.3 3162.4
P = 30.0 MPa 4.0320 0.0017892 1737.8 1791.5 5.1418 0.002790 2067.4 2151.1 5.4723 0.005303 2455.1 2614.2 5.6744 0.006735 2619.3 2821.4 5.9592 0.008678 2820.7 3081.1
P =35.0 MPa 3.9305 0.0017003 1702.9 4.4728 0.002100 1914.1 5.1504 0.003428 2253.4 5.4424 0.004961 2498.7 5.7905 0.006927 2751.9
3335.6 3491.4 3637.4 3777.5 4047.1
6.1765 6.3602 6.5229 6.6707 6.9345
0.010168 0.011446 0.012596 0.013661 0.015623
2970.3 3100.5 3221.0 3335.8 3555.5
3275.4 3443.9 3598.9 3745.6 4024.2
6.0342 6.2331 6.4058 6.5606 6.8332
0.008345 0.009527 0.010575 0.011533 0.013278
2921.0 3062.0 3189.8 3309.8 3536.7
3783.0 4309.1 3990.9 4568.5 4200.2 4828.2 4412.0 5089.9 4626.9 5354.4 P = 40.00 MPa 1677.1 1742.8 1854.6 1930.9 2096.9 2198.1 2365.1 2512.8 2678.4 2903.3
7.1680 7.3802 7.5765 7.7605 7.9342
0.017448 0.019196 0.020903 0.022589 0.024266
7.0718 7.2867 7.4845 7.6692 7.8432
0.014883 0.016410 0.017895 0.019360 0.020815
3.8290 0.0015594 4.1135 0.0017309 4.5029 0.002007 3.9459 0.002486 5.4700 0.003892
3768.5 4291.9 3978.8 4554.7 4189.2 4816.3 4401.3 5079.0 4616.0 5344.0 P = 50.0 MPa 1638.6 1716.6 1788.1 1874.6 1959.7 2060.0 2159.6 2284.0 2525.5 2720.1
3.7639 0.0015028 4.0031 0.0016335 4.2734 0.0018165 4.5884 0.002085 5.1726 0.002956
3754.0 3966.7 4178.3 4390.7 4605.1 P =65.0 MPa 1609.4 1745.4 1892.7 2053.9 2390.6
3017.5 3137.9 3251.6 3361.3 3574.3
550 600 650 700 800
0.006984 0.008094 0.009063 0.009941 0.011523
2869.7 3022.6 3158.0 3283.6 3517.8
3149.1 3346.4 3520.6 3681.2 3978.7
5.7785 6.0144 6.2054 6.3750 6.6662
0.005118 0.006112 0.006966 0.007727 0.009076
2763.6 2942.0 3093.5 3230.5 3479.8
3019.5 3247.6 3441.8 3616.8 3933.6
5.5485 5.8178 6.0342 6.2189 6.5290
0.003956 0.004834 0.005595 0.006272 0.007459
2658.8 2861.1 3028.8 3177.2 3441.5
900 1000 1100 1200 1300
0.012962 0.014324 0.015642 0.016940 0.018229
3739.4 3954.6 4167.4 4380.1 4594.3
4257.9 4527.6 4793.1 5057.7 5323.5
6.9150 7.1356 7.3364 7.5224 7.6969
0.010283 0.011411 0.012496 0.013561 0.014616
3710.3 3930.5 4145.7 4359.1 4572.8
4224.4 4501.1 4770.5 5037.2 5303.6
6.7882 7.0146 7.2184 7.4058 7.5808
0.008508 0.009480 0.010409 0.011317 0.012215
3681.0 3906.4 4124.1 4338.2 4551.4
La temperatura entre paréntesis es la temperatura de saturación a la presión especificada, t Propiedades del vapor saturado a la presión especificada.
36 de 211
10/08/2017
Tablas Termodinámicas
Tabla A6 (Sistema Internacional)
h s kJ/kg kJ/(kg•K) P= 0.10MPa (99.63°C) 2675.5 7.3594 2676.2 2776.4 2875.3
7.3614 7.6134 7.8343
2974.3 3074.3 3278.2 3488.1 3704.4
8.0333 8.2158 8.5435 8.8342 9.0976
3928.2 4158.6 4396.1 4640.3
9.3398 9.5652 9.7767 9.9764
4891.0 10.1659 5147.8 10.3463 5409.5 10.5183 P= 0.40 MPa(143.63°C) 2738.6 6.89590 2752.8 6.92990 2860.5 7.17060 2964.2 7.37890 3066.8 7.56620 3273.4 3484.9 3702.4 3926.5 4157.3
7.89850 8.19130 8.45580 8.69870 8.92440
4395.1 9.13620 4639.4 9.33600 4890.2 9.52560 5146.8 9.70600 5408.8 9.87800 P= 0.80 Mpa (170.43 °C) 2769.1 6.6628 2839.3 6.8158 2950.0 7.0384 3056.5 7.2328
37 de 211
10/08/2017
Tablas Termodinámicas
Tabla A6 (Sistema Internacional)
3161.7
7.4089
3267.1 3480.6 3699.4 3924.2 4155.6
7.5716 7.8673 8.1333 8.3770 8.6033
4393.7 4638.2 4889.1 5145.9 5407.9
8.8153 9.0153 9.2050 9.3855 9.5575
38 de 211
10/08/2017
Tablas Termodinámicas
Tabla A6 (Sistema Internacional)
h s kJ/kg kJ/(kg•K) P = 1.40 MPa (195.07°C) 2790.0 6.4693 2803.3 6.4975 2927.2 6.7467 3040.4 6.9534 3149.5 7.1360 3257.5 3474.1 3694.8 3920.8 4153.0 4391.5 4636.4 4887.5 5144.4 5406.5 P = 2.00 MPa (212.42°C) 2799.5 2835.8 2902.5 3023.5 3137.0 3247.6 3467.6 3690.1 3917.4 4150.3 4389.4 4634.6 4885.9 5142.9 5405.1 P = 3.50 MPa (242.60°C) 2803.4
7.3026 7.6027 7.8710 8.1160 8.3431 8.5556 8.7559 8.9457 9.1262 9.2984 6.3409 6.4147 6.5453 6.7664 6.9563 7.1271 7.4317 7.7024 7.9487 8.1765 8.3895 8.5901 8.7800 8.9607 9.1329 6.1253
2829.2 2977.5 3104.0
6.1749 6.4461 6.6579
3222.3
6.8405
39 de 211
10/08/2017
Tablas Termodinámicas
Tabla A6 (Sistema Internacional)
3337.2 3450.9 3678.4 3908.8
7.0052 7.1572 7.4339 7.6837
4143.7 4384.1 4630.1
7.9134 8.1276 8.3288
4881.9 5139.3 5401.7
8.5192 8.7000 8.8723
h s kJ/kg kJ/(kg•K) P = 5.0 MPa (263.99°C) 2794.3 5.9734 2838.3 6.0544 2924.5 6.2084 3068.4 6.4493 3195.7 6.6459 3316.2 3433.8 3666.5 3900.1 4137.1 4378.8 4625.7 4878.0 5135.7 5398.2 P = 8.0 MPa (295.06 °C) 2758.0 2785.0 2987.3 3138.3 3272.0 3398.3 3521.0 3642.0 3882.4 4123.8
6.8186 6.9759 7.2589 7.5122 7.7440 7.9593 8.1612 8.3520 8.5331 8.7055 5.7432 5.7906 6.1301 6.3634 6.5551 6.7240 6.8778 7.0206 7.2812 7.5173
40 de 211
10/08/2017
Tablas Termodinámicas
Tabla A6 (Sistema Internacional)
4368.3 7.7351 4616.9 7.9384 4870.3 8.1300 5128.5 8.3115 5391.5 8.4842 P = 12.5 MPa (327.89 °C) 2673.8 5.4624 2826.2 3039.3 3199.8
5.7118 6.0417 6.2719
3341.8 3475.2 3604.0 3730.4 3855.3
6.4618 6.6290 6.7810 6.9218 7.0536
4103.6 4352.5 4603.8
7.2965 7.5182 7.7237
4858.8 5118.0 5381.4
7.9165 8.0937 8.2717
h s kJ/kg kJ/(kg•K) P = 20.0 MPa (365.81 °C) 2409.7 4.9269 2818.1 3060.1 3238.2
5.5540 5.9017 6.1401
3393.5 3537.6 3675.3 3809.0 4069.7
6.3348 6.5048 6.6582 6.7993 7.0544
4326.4 4582.5 4840.2 5101.0 5365.1
7.2830 7.4925 7.6874 7.8707 8.0442
41 de 211
10/08/2017
Tablas Termodinámicas
Tabla A6 (Sistema Internacional)
P =35.0 MPa 1762.4 1987.6 2373.4 2672.4 2994.4
3.8722 4.2126 4.7747 5.1962 5.6282
3213.0 3395.5 3559.9 3713.5 4001.5
5.9026 6.1179 6.3010 6.4631 6.7450
4274.9 4541.1 4804.6 5068.3 5333.6 P =65.0 MPa 1699.5 1843.4 2001.7 2179.0 2567.9
6.9386 7.2064 7.4037 7.5910 7.7653
2896.2 3151.2 3364.5 3553.5 3889.1
5.3441 5.6452 5.8829 6.0824 6.4109
4191.5 4475.2 4748.6 5017.2 5284.3
6.6805 6.9127 7.1195 7.3083 7.4837
3.7141 3.9318 4.1626 4.4121 4.9321
e saturación a la presión especificada, ficada.
42 de 211
10/08/2017
Tablas Termodinámicas
Tabla A7 (Sistema Internacional)
TABLA A7 Agua líquida comprimida T v u h s 3 °C m /kg kJ/kg kJ/kg kJ (kg•K) P = 5 MPa (263.99°C) Sat. 0.0012859 1147.8 1154.2 2.9202 0 0.0009977 0.04 5.04 0.0001 20 0.0009995 83.65 88.65 0.2956 40 0.0010056 166.95 171.97 0.5705 60 0.0010149 250.23 255.30 0.8285
v m /kg
u h s kJ/Kg kJ/kg kJ (kg•K) P=10 MPa (311.06 °C) 0.0014524 1393.0 1407.6 3.3596 0.0009952 0.09 10.04 0.0002 0.0009972 83.36 93.33 0.2945 0.0010034 166.35 176.38 0.5686 0.0010127 249.36 259.49 0.8258
P= 15 MPa (342.2 0.0016581 0.0009928 0.0009950 0.0010013 0.0010105
3
v m /kg 3
80 100 120 140 160
0.0010268 0.0010410 0.0010576 0.0010768 0.0010988
333.72 417.52 501.80 586.76 672.62
338.85 422.72 507.09 592.15 678.12
1.0720 1.3030 1.5233 1.7343 1.9375
0.0010245 0.0010385 0.0010549 0.0010737 0.0010953
332.59 416.12 500.08 584.68 670.13
342.83 426.50 510.64 595.42 681.08
1.0688 1.2992 1.5189 1.7292 1.9317
0.0010222 0.0010361 0.0010522 0.0010707 0.0010918
180 200 220 240 260
0.0011240 0.0011530 0.0011866 0.0012264 0.0012749
759.63 848.1 938.4 1031.4 1127.9
765.25 853.9 944.4 1037.5 1134.3
2.1341 2.3255 2.5128 2.6979 2.8830
0.0011199 0.0011480 0.0011805 0.0012187 0.0012645
756.65 844.5 934.1 1026.0 1121.1
767.84 856.0 945.9 1038.1 1133.7
2.1275 2.3178 2.5039 2.6872 2.8699
0.0011159 0.0011433 0.0011748 0.0012114 0.0012550
0.0013216 0.0013972
1220.9 1328.4
1234.1 1342.3
3.0548 0.0013084 3.2469 0.0013770 0.0014724 0.0016311
280 300 320 340 P = 20 MPa (365.81°C) 0.0020360 1785.6 1826.3 0.0009904 0.19 20.01 0.0009928 82.77 102.62 0.0009992 165.17 185.16 0.0010084 247.68 267.85
4.0139 0.0004 0.2923 0.5646 0.8206
0.0009856 0.0009886 0.0009951 0.0010042
0.25 82.17 164.04 246.06
29.82 111.84 193.89 276.19
0.0001 0.2899 0.5607 0.8154
0.0009766 0.0009804 0.0009872 0.0009962
80 100 120 140 160
0.0010199 0.0010337 0.0010496 0.0010678 0.0010885
330.40 413.39 496.76 580.69 665.35
350.80 434.06 517.76 602.04 687.12
1.0624 1.2917 1.5102 1.7193 1.9204
0.0010156 0.0010290 0.0010445 0.0010621 0.0010821
328.30 410.78 493.59 576.88 660.82
358.77 441.66 524.93 608.75 693.28
1.0561 1.2844 1.5018 1.7098 1.9096
0.0010073 0.0010201 0.0010348 0.0010515 0.0010703
180 200 220 240 260
0.0011120 0.0011388 0.0011695 0.0012046 0.0012462
750.95 837.7 925.9 1016.0 1108.6
773.20 860.5 949.3 1040.0 1133.5
2.1147 2.3031 2.4870 2.6674 2.8459
0.0011047 0.0011302 0.0011590 0.0011920 0.0012303
745.59 831.4 918.3 1006.9 1097.4
778.73 865.3 953.1 1042.6 1134.3
2.1024 2.2893 2.4711 2.6490 2.8243
0.0010912 0.0011146 0.0011408 0.0011702 0.0012034
280 300 320 340
0.0012965 0.0013596 0.0014437 0.0015684
1204.7 1306.1 1415.7 1539.7
1230.6 1333.3 1444.6 1571.0
3.0248 3.2071 3.3979 3.6075
0.0012755 0.0013304 0.0013997 0.0014920
1190.7 1287.9 1390.7 1501.7
1229.0 1327.8 1432.7 1546.5
2.9986 3.1741 3.3539 3.5426
0.0012415 0.0012860 0.0013388 0.0014032
Sat. 0 20 40 60
P=30MPa
43 de 211
P=50 MPa
10/08/2017
Tablas Termodinámicas
360 0.0018226 380
Tabla A7 (Sistema Internacional)
1702.8
1739.3
3.8772
0.0016265 0.0018691
44 de 211
1626.6 1781.4
1675.4 1837.5
3.7494 0.0014838 4.0012 0.0015884
10/08/2017
Tablas Termodinámicas
Tabla A7 (Sistema Internacional)
u h s kJ/kg kJ/kg kJ (kg•K) P= 15 MPa (342.24 °C) 1585.6 1610.5 3.6848 0.15 15.05 0.0004 83.06 97.99 0.2934 165.76 180.78 0.5666 248.51 263.67 0.8232 331.48 414.74 498.40 582.66 667.71
346.81 430.28 514.19 598.72 684.09
1.0656 1.2955 1.5145 1.7242 1.9260
753.76 841.0 929.9 1020.8 1114.6
770.50 858.2 947.5 1039.0 1133.4
2.1210 2.3104 2.4953 2.6771 2.8576
1212.5 1232.1 1316.6 1337.3 1431.1 1453.2 1567.5 1591.9 P=50 MPa
3.0393 3.2260 3.4247 3.6546
0.20 81.00 161.86 242.98
49.03 130.02 211.21 292.79
0.0014 0.2848 0.5527 0.8052
324.34 405.88 487.65 569.77 652.41
374.70 456.89 539.39 622.35 705.92
1.0440 1.2703 1.4857 1.6915 1.8891
735.69 819.7 904.7 990.7 1078.1
790.25 875.5 961.7 1049.2 1138.2
2.0794 2.2634 2.4419 2.6158 2.7860
1167.2 1258.7 1353.3 1452.0
1229.3 1323.0 1420.2 1522.1
2.9537 3.1200 3.2868 3.4557
45 de 211
10/08/2017
Tablas Termodinámicas
Tabla A7 (Sistema Internacional)
1556.0 1667.2
1630.2 1746.6
46 de 211
3.6291 3.8101
10/08/2017
Tablas Termodinámicas
Tabla A8 (Sistema Internacional)
TABLA A8 Hielo saturado - vapor de agua Volumen especifico
Press. Temp.sat. Psat T
m /kg Hielo Vapor sat. sat. 3
vi x 103
vg
Energía interna kJ/kg Hielo Vapor sat. subl. sat. ui
uig
ug
Entalpía kJ/kg
Entropía kJ/(kg • K)
Hielo sat.
subl.
Vapor sat.
Hielo sat.
hi
hig
hg
si
°C 0.01 0 -2 -4 -6
0.6113 0.6108 0.5176 0.4375 0.3689
1.0908 1.0908 1.0904 1.0901 1.0898
206.1 206.3 241.7 283.8 334.2
-333.40 -333.43 -337.62 -341.78 -345.91
2708.7 2708.8 2710.2 2711.6 2712.9
2375.3 2375.3 2372.6 2369.8 2367.0
-333.40 -333.43 -337.62 -341.78 -345.91
2834.8 2834.8 2835.3 2835.7 2836.2
2501.4 2501.3 2497.7 2494.0 2490.3
-1.221 -1.221 -1.237 -1.253 -1.268
-8 -10 -12 -14 -16
0.3102 0.2602 0.2176 0.1815 0.1510
1.0894 1.0891 1.0888 1.0884 1.0881
394.4 466.7 553.7 658.8 786.0
-350.02 -354.09 -358.14 -362.15 -366.14
2714.2 2715.5 2716.8 2718.0 2719.2
2364.2 2361.4 2358.7 2355.9 2353.1
-350.02 -354.09 -358.14 -362.15 -366.14
2836.6 2837.0 2837.3 2837.6 2837.9
2486.6 2482.9 2479.2 2475.5 2471.8
-1.284 -1.299 -1.315 -1.331 -1.346
-18 -20 -22 -24 -26
0.1252 0.1035 0.0853 0.0701 0.0574
1.0878 1.0874 1.0871 1.0868 1.0864
940.5 1128.6 1358.4 1640.1 1986.4
-370.10 -374.03 -377.93 -381.80 -385.64
2720.4 2721.6 2722.7 2723.7 2724.8
2350.3 2347.5 2344.7 2342.0 2339.2
-370.10 -374.03 -377.93 -381.80 -385.64
2838.2 2838.4 2838.6 2838.7 2838.9
2468.1 2464.3 2460.6 2456.9 2453.2
-1.362 -1.377 -1.393 -1.408 -1.424
-28 -30 -32 -34
0.0469 0.0381 0.0309 0.0250
1.0861 1.0858 1.0854 1.0851
2413.7 2943 3600 4419
-389.45 -393.23 -396.98 -400.71
2725.8 2726.8 2727.8 2728.7
2336.4 2333.6 2330.8 2328.0
-389.45 -393.23 -396.98 -400.71
2839.0 2839.0 2839.1 2839.1
2449.5 2445.8 2442.1 2438.4
-1.439 -1.455 -1.471 -1.486
-36 -38 -40
0.0201 0.0161 0.0129
1.0848 1.0844 1.0841
2729.6 2325.2 2730.5 2322.4 2731.3 2319.6
-404.40 -408.06 -411.70
2839.1 2839.0 2839.9
2434.7 2430.9 2427.2
-1.501 -1.517 -1.532
5444 -404.40 6731 -408.06 8354 -411.70
47 de 211
10/08/2017
Tablas Termodinámicas
Tabla A8 (Sistema Internacional)
Entropía kJ/(kg • K) subl.
Vapor sat.
sig
sg
10.378 10.378 10.456 10.536 10.616
9.156 9.157 9.219 9.283 9.348
10.698 10.781 10.865 10.950 11.036
9.414 9.481 9.550 9.619 9.690
11.123 9.762 11.212 9.835 11.302 9.909 11.394 9.985 11.486 10.062 11.580 11.676 11.773 11.872
10.141 10.221 10.303 10.386
11.972 10.470 12.073 10.556 12.176 10.644
48 de 211
10/08/2017
Tablas Termodinámicas
Figura A9 (Sistema Internacional)
Figura A9 Diagrama T-s para el agua (Fuente: Lester Haar, Johm S. Gallagher y George S. Kell, NBS/NRc Steam Tables, 1984. Con permiso de Hemisphere Publishing Corporation, Nueva York)
49 de 211
10/08/2017
Tablas Termodinámicas
Figura A9 (Sistema Internacional)
50 de 211
10/08/2017
Tablas Termodinámicas
Figura A10 (Sistema Internacional)
Figura A10 Diagrama de Mollier para el agua (Fuente: Lester Haar, Johm S. Gallery y George S. Kell, NBS/NRC Steam Tables, 1984. Con permiso de Hemisphere Publishing Corporation, Nueva York.)
51 de 211
10/08/2017
Tablas Termodinámicas
Tabla A11 (Sistema Internacional)
TABLA A11 Refrigerante 134a saturado - Tabla de temperatura Volumen específico, m3/kg Líq. Vap. sat., sat.,
Presión, Temp., Psat vf T °C MPa -40 0.0 516 4 -36 0.0 633 2 -32 0.0 770 4 -28 0.0 930 5 -26 0.1 019 9
vg
Energía interna, kJ/kg Líq. Vap. sat., sat.,
Líq. sat.,
Vap. Evap., sat.,
Líq. sat.,
uf
hf
hfg
sf
ug
Entalpía, kJ/kg
Entropía, kJ/(kg • K)
hg
0.000 705 5 0.000 711 3 0.000 717 2 0.000 723 3 0.000 726 5
0.3569 0.2947 0.2451 0.2052 0.1882
-0.04 4.68 9.47 14.31 16.75
204.45 206.73 209.01 211.29 212.43
0.00 4.73 9.52 14.37 16.82
222.88 220.67 218.37 216.01 214.80
222.88 225.40 227.90 230.38 231.62
0.0000 0.0201 0.0401 0.0600 0.0699
-24 -22 -20 -18 -16
0.1 116 0 0.1 219 2 0.1 329 9 0.1 448 3 0.1 574 8
0.000 729 6 0.000 732 8 0.000 736 1 0.000 739 5 0.000 742 8
0.1728 0.1590 0.1464 0.1350 0.1247
19.21 21.68 24.17 26.67 29.18
213.57 214.70 215.84 216.97 218.10
19.29 21.77 24.26 26.77 29.30
213.57 212.32 211.05 209.76 208.45
232.85 234.08 235.31 236.53 237.74
0.0798 0.0897 0.0996 0.1094 0.1192
-12 -8 -4 0 4
0.1 854 0 0.2 170 4 0.2 527 4 0.2 928 2 0.3 376 5
0.000 749 8 0.000 756 9 0.000 764 4 0.000 772 1 0.000 780 1
0.1068 0.0919 0.0794 0.0689 0.0600
34.25 39.38 44.56 49.79 55.08
220.36 222.60 224.84 227.06 229.27
34.39 39.54 44.75 50.02 55.35
205.77 203.00 200.15 197.21 194.19
240.15 242.54 244.90 247.23 249.53
0.1388 0.1583 0.1777 0.1970 0.2162
8 12 16 20 24
0.3 875 6 0.4 429 4 0.5 041 6 0.5 716 0 0.6 456 6
0.000 788 4 0.000 797 1 0.000 806 2 0.000 815 7 0.000 825 7
0.0525 0.0460 0.0405 0.0358 0.0317
60.43 65.83 71.29 76.80 82.37
231.46 233.63 235.78 237.91 240.01
60.73 66.18 71.69 77.26 82.90
191.07 187.85 184.52 181.09 177.55
251.80 254.03 256.22 258.35 260.45
0.2354 0.2545 0.2735 0.2924 0.3113
26 28 30 32 34
0.6 853 0 0.7 267 5 0.7 700 6 0.8 152 8 0.8 624 7
0.000 830 9 0.000 836 2 0.000 841 7 0.000 847 3 0.000 853 0
0.0298 0.0281 0.0265 0.0250 0.0236
85.18 88.00 90.84 93.70 96.58
241.05 242.08 243.10 244.12 245.12
85.75 88.61 91.49 94.39 97.31
175.73 173.89 172.00 170.09 168.14
261.48 262.50 263.50 264.48 265.45
0.3208 0.3302 0.3396 0.3490 0.3584
36 0.9 116 8 38 0.9 629 8 40 1.016 4 42 1.072 0 44 1.129 9
0.000 859 0 0.000 865 1 0.000 871 4 0.000 878 0 0.000 884 7
0.0223 0.0210 0.0199 0.0188 0.0177
99.47 102.38 105.30 108.25 111.22
246.11 247.09 248.06 249.02 249.96
100.25 103.21 106.19 109.19 112.22
166.15 164.12 162.05 159.94 157.79
266.40 267.33 268.24 269.14 270.01
0.3678 0.3772 0.3866 0.3960 0.4054
48 52 56 60
0.000 898 9 0.000 914 2 0.000 930 8 0.000 948 8
0.0159 0.0142 0.0127 0.0114
117.22 123.31 129.51 135.82
251.79 253.55 255.23 256.81
118.35 124.58 130.93 137.42
153.33 148.66 143.75 138.57
271.68 273.24 274.68 275.99
0.4243 0.4432 0.4622 0.4814
1.252 6 1.385 1 1.527 8 1.681 3
52 de 211
10/08/2017
Tablas Termodinámicas
Tabla A11 (Sistema Internacional)
70 2.116 2 0.001 002 7 0.0086 152.22 260.15 154.34 124.08 278.43 0.5302 80 2.632 4 0.001 076 6 0.0064 169.88 262.14 172.71 106.41 279.12 0.5814 90 3.243 5 0.001 194 9 0.0046 189.82 261.34 193.69 82.63 276.32 0.6380 100 3.974 2 0.001 544 3 0.0027 218.60 248.49 224.74 34.40 259.13 0.7196 Fuente: Tablas A.11 a A.13: M. J. Moran y H. N. Shapiro, Fundamentals of Engineering Thermodynamics, 2a. ed. (Nueva York: John Wiley & Sons, 1992), pp. 710-715. Basadas originalmente en las ecuaciones de D. P. Wilson y R. S. Basu, "Thermodynamic Properties of a New Stratospherically Safe Working Fluid-Refrigerant-134a", ASHRAE Trans. 94, Pt. 2 (1988), pp. 2095-2118. Empleadas con permiso.
53 de 211
10/08/2017
Tablas Termodinámicas
Tabla A11 (Sistema Internacional)
Entropía, kJ/(kg • K) Vap. sat., sg
0.9560 0.9506 0.9456 0.9411 0.9390 0.9370 0.9351 0.9332 0.9315 0.9298 0.9267 0.9239 0.9213 0.9190 0.9169 0.9150 0.9132 0.9116 0.9102 0.9089 0.9082 0.9076 0.9070 0.9064 0.9058 0.9053 0.9047 0.9041 0.9035 0.9030 0.9017 0.9004 0.8990 0.8973
54 de 211
10/08/2017
Tablas Termodinámicas
Tabla A11 (Sistema Internacional)
0.8918 0.8827 0.8655 0.8117 y H. N. Shapiro, Fundamentals of Engineering Thermodynamics, 2a. ed. , pp. 710-715. Basadas originalmente en las ecuaciones de D. P. Wilson y of a New Stratospherically Safe Working Fluid-Refrigerant-134a", 95-2118. Empleadas con permiso.
55 de 211
10/08/2017
Tablas Termodinámicas
Tabla A12 (Sistema Internacional)
TABLA A12 Refrigerante 134a saturado - Tabla de presión
Presión, P
MPa 0.06 0.08 0.10 0.12 0.14
Volumen específico, Energía interna, m3/kg kJ/kg Temp., Líq. Vap. Líq. Vap. Tsat sat, sat, sat, sat, vf vg uf ug °C -37.07 0.000 709 7 0.3100 3.41 206.12 -31.21 0.000 718 4 0.2366 10.41 209.46 -26.43 0.000 725 8 0.1917 16.22 212.18 -22.36 0.000 732 3 0.1614 21.23 214.50 -18.80 0.000 738 1 0.1395 25.66 216.52
Entalpía, kJ/kg Líq. sat, hf
Evap., hfg
Vap. sat, hg
Entrapía, kJ/kg • K Líq. Vap. sat, sat, sf
sg
3.46 10.47 16.29 21.32 25.77
221.27 217.92 215.06 212.54 210.27
224.72 228.39 231.35 233.86 236.04
0.0147 0.0440 0.0678 0.0879 0.1055
0.9520 0.9447 0.9395 0.9354 0.9322
0.16 0.18 0.20 0.24 0.28
-15.62 -12.73 -10.09 -5.37 -1.23
0.000 743 5 0.000 748 5 0.000 753 2 0.000 761 8 0.000 769 7
0.1229 0.1098 0.0993 0.0834 0.0719
29.66 33.31 36.69 42.77 48.18
218.32 219.94 221.43 224.07 226.38
29.78 33.45 36.84 42.95 48.39
208.18 206.26 204.46 201.14 198.13
237.97 239.71 241.30 244.09 246.52
0.1211 0.1352 0.1481 0.1710 0.1911
0.9295 0.9273 0.9253 0.9222 0.9197
0.32 0.36 0.4 0.5 0.6
2.48 5.84 8.93 15.74 21.58
0.000 777 0 0.000 783 9 0.000 790 4 0.000 805 6 0.000 819 6
0.0632 0.0564 0.0509 0.0409 0.0341
53.06 57.54 61.69 70.93 78.99
228.43 230.28 231.97 235.64 238.74
53.31 57.82 62.00 71.33 79.48
195.35 192.76 190.32 184.74 179.71
248.66 250.58 252.32 256.07 259.19
0.2089 0.2251 0.2399 0.2723 0.2999
0.9177 0.9160 0.9145 0.9117 0.9097
0.7 0.8 0.9 1.0 1.2
26.72 31.33 35.53 39.39 46.32
0.000 832 8 0.000 845 4 0.000 857 6 0.000 869 5 0.000 892 8
0.0292 86.19 0.0255 92.75 0.0226 98.79 0.0202 104.42 0.0166 114.69
241.42 86.78 175.07 243.78 93.42 170.73 245.88 99.56 166.62 247.77 105.29 162.68 251.03 115.76 155.23
261.85 264.15 266.18 267.97 270.99
0.3242 0.3459 0.3656 0.3838 0.4164
0.9080 0.9066 0.9054 0.9043 0.9023
1.4 1.6 1.8
52.43 0.000 915 9 57.92 0.000 939 2 62.91 0.000 963 1
0.0140 123.98 0.0121 132.52 0.0105 140.49
253.74 125.26 148.14 256.00 134.02 141.31 257.88 142.22 134.60
273.40 0.4453 275.33 0.4714 276.83 0.4954
0.9003 0.8982 0.8959
2.0 2.5 3.0
67.49 0.000 987 8 77.59 0.001 056 2 86.22 0.001 141 6
0.0093 148.02 0.0069 165.48 0.0053 181.88
259.41 149.99 127.95 261.84 168.12 111.06 262.16 185.30 92.71
277.94 0.5178 279.17 0.5687 278.01 0.6156
0.8934 0.8854 0.8735
56 de 211
10/08/2017
Tablas Termodinámicas
Tabla A13 (Sistema Internacional)
TABLA A13 Refrigerante 134a sobrecalentado T °C
v
u
h
s
v
u
h
s
m / kg kJ/kg kJ/kg kJ/(kg•K) m / kg kJ/kg kJ/kg kJ/(kg•K) P = 0.06 MPa (Tsat = -37.0 °C) P= 0.10 MPa (Tsat=-26.43°C) 3
3
v
u
m / kg kJ/kg P = 0.14 MPa (T 3
Sat. -20 -10 0 10
0.31003 0.33536 0.34992 0.36433 0.37861
206.12 217.86 224.97 232.24 239.69
224.72 237.98 245.96 254.10 262.41
0.9520 1.0062 1.0371 1.0675 1.0973
0.19170 0.19770 0.20686 0.21587 0.22473
212.18 216.77 224.01 231.41 238.96
231.35 236.54 244.70 252.99 261.43
0.9395 0.9602 0.9918 1.0227 1.0531
0.13945 216.52
20 30 40 50 60
0.39279 0.40688 0.42091 0.43487 0.44879
247.32 255.12 263.10 271.25 279.58
270.89 279.53 288.35 297.34 306.51
1.1267 1.1557 1.1844 1.2126 1.2405
0.23349 0.24216 0.25076 0.25930 0.26779
246.67 254.54 262.58 270.79 279.16
270.02 278.76 287.66 296.72 305.94
1.0829 1.1122 1.1411 1.1696 1.1977
0.16520 0.17155 0.17783 0.18404 0.19020
1.2681 0.27623 287.70 315.32 1.2954 0.28464 296.40 324.87 1.3224 0.29302 305.27 334.57
1.2254 1.2528 1.2799
0.19633 287.32 0.20241 296.06 0.20846 304.95 0.21449 314.01 P = 0.24 MPa (T
70 80 90 100
0.46266 288.08 315.84 0.47650 296.75 325.34 0.49031 305.58 335.00
P= 0.18 MPa (Tsat=-12.73°C)
P = 0.20 MPa (Tsat = -10.09°C) 221.43 221.50 229.23 237.05 244.99
246.01 253.96 262.06 270.32 278.74
Sat. -10 0 10 20
0.10983 0.11135 0.11678 0.12207 0.12723
219.94 222.02 229.67 237.44 245.33
239.71 242.06 250.69 259.41 268.23
0.9273 0.9362 0.9684 0.9998 1.0304
241.30 241.38 250.10 258.89 267.78
0.9253 0.9256 0.9582 0.9898 1.0206
0.08343 224.07
30 40 50 60 70
0.13230 0.13730 0.14222 0.14710 0.15193
253.36 261.53 269.85 278.31 286.93
277.17 286.24 295.45 304.79 314.28
1.0604 0.11856 253.06 276.77 1.0898 0.12311 261.26 285.88 1.1187 0.12758 269.61 295.12 1.1472 0.13201 278.10 304.50 1.1753 0.13639 286.74 314.02
1.0508 1.0804 1.1094 1.1380 1.1661
0.09794 0.10181 0.10562 0.10937 0.11307
80 90 100
0.09933 0.09938 0.10438 0.10922 0.11394
0.14549 223.03 0.15219 230.55 0.15875 238.21
0.08574 228.31 0.08993 236.26 0.09339 244.30 252.45 260.72 269.12 277.67 286.35
0.15672 295.71 323.92 1.2030 0.14073 295.53 323.68 1.1939 0.16148 304.63 333.70 1.2303 0.14504 304.47 333.48 1.2212 0.16622 313.72 343.63 1.2573 0.14932 313.57 343.43 1.2483 P = 0.28 MPa (Tsat = -1.23°C) P= 0.32 MPa (Tsat= 2.48°C)
0.11674 295.18 0.12037 304.15 0.12398 313.27 P= 0.40 MPa (T
Sat. 0 10 20 30
0.07193 0.07240 0.07613 0.07972 0.08320
226.38 227.37 235.44 243.59 251.83
246.52 247.64 256.76 265.91 275.12
0.9197 0.9238 0.9566 0.9883 1.0192
0.06322 228.43 248.66
0.9177
0.05089 231.97
0.06576 234.61 255.65 0.06901 242.87 264.95 0.07214 251.19 274.28
0.9427 0.9749 1.0062
0.05119 232.87 0.05397 241.37 0.05662 249.89
40 50 60 70 80
0.08660 0.08992 0.09319 0.09641 0.09960
260.17 268.64 277.23 285.96 294.82
284.42 293.81 303.32 312.95 322.71
1.0494 1.0789 1.1079 1.1364 1.1644
0.07518 0.07815 0.08106 0.08392 0.08674
283.67 293.15 302.72 312.41 322.22
1.0367 1.0665 1.0957 1.1243 1.1525
0.05917 0.06164 0.06405 0.06641 0.06873
1.1920 0.08953 303.50 332.15 1.2193 0.09229 312.68 342.21
1.1802 1.1076
0.07102 302.84 0.07327 312.07
90 100
0.10275 303.83 332.60 0.10587 312.98 342.62
57 de 211
259.61 268.14 276.79 285.56 294.46
258.47 267.13 275.89 284.75 293.73
10/08/2017
Tablas Termodinámicas
Tabla A13 (Sistema Internacional)
110
0.10897 322.27 352.78
1.2461 0.09503 322.00 352.40
1.2345
0.07550 321.44
120 130 140
0.11205 331.71 363.08
1.2727 0.09774 331.45 362.73
1.2611
0.07771 330.94 0.07991 340.58 0.08208 350.35
58 de 211
10/08/2017
Tablas Termodinámicas
Tabla A13 (Sistema Internacional)
TABLA A13 Continuación Refrigerante 134a sobrecalentado T °C
v
u
h
s
v
u
h
s
m / kg kJ/kg kJ/kg kJ/(kg•K) m / kg kJ/kg kJ/kg kJ/(kg•K) P= 0.50 MPa (Tsat = 15.74°C) P= 0.60 MPa (Tsat= 21.58°C) 3
3
v
u
m / kg kJ/kg P= 0.70 MPa (T 3
Sat. 20 30 40 50
0.04086 0.04188 0.04416 0.04633 0.04842
253.64 239.40 248.20 256.99 265.83
256.07 260.34 270.28 280.16 290.04
0.9117 0.9264 0.9597 0.9918 1.0229
0.03408 238.74 259.19
0.9097
0.02918 241.42
0.03581 246.41 267.89 0.03774 255.45 278.09 0.03958 264.48 288.23
0.9388 0.9719 1.0037
0.02979 244.51 0.03157 253.83 0.03324 263.08
60 70 80 90 100
0.05043 0.05240 0.05432 0.05620 0.05805
274.73 283.72 292.80 302.00 311.31
299.95 309.92 319.96 330.10 340.33
1.0531 1.0825 1.1114 1.1397 1.1675
0.04134 0.04304 0.04469 0.04631 0.04790
298.35 308.48 318.67 328.93 339.27
1.0346 1.0645 1.0938 1.1225 1.1505
0.03482 0.03634 0.03781 0.03924 0.04064
110 120 130
0.05988 320.74 350.68 0.06168 330.30 361.14 0.06347 339.98 371.72
1.1949 0.04946 320.03 349.70 1.2218 0.05099 329.64 360.24 1.2484 0.05251 339.38 370.88
1.1781 1.2053 1.2320
0.04201 319.31 0.04335 328.98 0.04468 338.76
140 150 160
0.06524 349.79 382.42
273.54 282.66 291.86 301.14 310.53
1.2746 0.05402 349.23 381.64 1.2584 0.05550 359.21 392.52 1.2844 0.05698 369.32 403.51 1.3100 P= 0.80 MPa (Tsat= 31.33°C) P= 0.90 MPa (Tsat = 35.53°C)
272.31 281.57 290.88 300.27 309.74
0.04599 348.66 0.04729 358.68 0.04857 368.82 P= 1.00 MPa (T
Sat. 40 50 60 70
0.02547 0.02691 0.02846 0.02992 0.03131
243.78 252.13 261.62 271.04 280.45
264.15 273.66 284.39 294.98 305.50
0.9066 0.9374 0.9711 1.0034 1.0345
0.02255 0.02325 0.02472 0.02609 0.02738
245.88 250.32 260.09 269.72 279.30
266.18 271.25 282.34 293.21 303.94
0.9054 0.9217 0.9566 0.9897 1.0214
0.02020 0.02029 0.02171 0.02301 0.02423
247.77 248.39 258.48 268.35 278.11
80 90 100 110 120
0.03264 0.03393 0.03519 0.03642 0.03762
289.89 299.37 308.93 318.57 328.31
316.00 326.52 337.08 347.71 358.40
1.0647 1.0940 1.1227 1.1508 1.1784
0.02861 0.02980 0.03095 0.03207 0.03316
288.87 298.46 308.11 317.82 327.62
314.62 325.28 335.96 346.68 357.47
1.0521 1.0819 1.1109 1.1392 1.1670
0.02538 0.02649 0.02755 0.02858 0.02959
287.82 297.53 307.27 317.06 326.93
130 140 150
0.03881 338.14 369.19 0.03997 348.09 380.07 0.04113 358.15 391.05
1.2055 0.03423 337.52 368.33 1.2321 0.03529 347.51 379.27 1.2584 0.03633 357.61 390.31
1.1943 1.2211 1.2475
0.03058 336.88 0.03154 346.92 0.03250 357.06
160 170 180
0.04227 368.32 402.14 1.2843 0.03736 367.82 401.44 1.2735 0.04340 378.61 413.33 1.3098 0.03838 378.14 412.68 1.2992 0.04452 389.02 424.63 1.3351 0.03939 388.57 424.02 1.3245 P= 1.20 MPa (Tsat = 46.32°C) P= 1.40 MPa (Tsat= 52.43°C)
0.03344 367.31 0.03436 377.66 0.03528 388.12 P= 1.60 MPa (T
0.01663 0.01712 0.01835 0.01947 0.02051
Sat. 50 60 70 80 90
251.03 254.98 265.42 275.59 285.62
270.99 275.52 287.44 298.96 310.24
0.02150 295.59 321.39
0.9023 0.9164 0.9527 0.9868 1.0192
0.01405 253.74 273.40
0.9003
0.01208 256.00
0.01495 262.17 283.10 0.01603 272.87 295.31 0.01701 283.29 307.10
0.9297 0.9658 0.9997
0.01233 258.48 0.01340 269.89 0.01435 280.78
1.0503 0.01792 293.55 318.63
1.0319
0.01521 291.39
59 de 211
10/08/2017
Tablas Termodinámicas
Tabla A13 (Sistema Internacional)
100 110 120 130
0.02244 0.02335 0.02423 0.02508
305.54 315.50 325.51 335.58
332.47 343.52 354.58 365.68
1.0804 0.01878 303.73 330.02 1.1096 0.01960 313.88 341.32 1.1381 0.02039 324.05 352.59 1.1660 0.02115 334.25 363.86
1.0628 1.0927 1.1218 1.1501
0.01601 0.01677 0.01750 0.01820
301.84 312.20 322.53 332.87
140 150 160 170
0.02592 0.02674 0.02754 0.02834
345.73 355.95 366.27 376.69
376.83 388.04 399.33 410.70
1.1933 1.2201 1.2465 1.2724
375.15 386.49 397.89 409.36
1.1777 1.2048 1.2315 1.2576
0.01887 0.01953 0.02017 0.02080
343.24 353.66 364.15 374.71
180 190 200
0.02912 387.21 422.16
1.2980 0.02472 386.29 420.90 0.02541 396.96 432.53 0.02608 407.73 444.24
1.2834 1.3088 1.3338
0.02142 385.35 0.02203 396.08 0.02263 406.90
0.02189 0.02262 0.02333 0.02403
60 de 211
344.50 354.82 365.22 375.71
10/08/2017
Tablas Termodinámicas
Tabla A13 (Sistema Internacional)
h
s
kJ/kg kJ/(kg•K) P = 0.14 MPa (Tsat = -18.80°C) 236.04
0.9322
243.40 251.86 260.43
0.9606 0.9922 1.0230
269.13 277.97 286.96 296.09 305.37
1.0532 1.0828 1.1120 1.1407 1.1690
314.80 1.1969 324.39 1.2244 334.14 1.2516 344.04 1.2785 P = 0.24 MPa (Tsat = -5.37°C) 244.09
0.9222
248.89 257.84 266.85
0.9399 0.9721 1.0034
275.95 285.16 294.47 303.91 313.49
1.0339 1.0637 1.0930 1.1218 1.1501
323.19 1.1780 333.04 1.2055 343.03 1.2326 P= 0.40 MPa (Tsat= 8.93°C) 252.32
0.9145
253.35 262.96 272.54
0.9182 0.9515 0.9837
282.14 291.79 301.51 311.32 321.23
1.0148 1.0452 1.0748 1.1038 1.1322
331.25 341.38
1.1602 1.1878
61 de 211
10/08/2017
Tablas Termodinámicas
Tabla A13 (Sistema Internacional)
351.64
1.2149
362.03 372.54 383.18
1.2417 1.2681 1.2941
62 de 211
10/08/2017
Tablas Termodinámicas
Tabla A13 (Sistema Internacional)
h
s
kJ/kg kJ/(kg•K) P= 0.70 MPa (Tsat= 26.72°C) 261.85
0.9080
265.37 275.93 286.35
0.9197 0.9539 0.9867
296.69 307.01 317.35 327.74 338.19
1.0182 1.0487 1.0784 1.1074 1.1358
348.71 359.33 370.04
1.1637 1.1910 1.2179
380.86 1.2444 391.79 1.2706 402.82 1.2963 P= 1.00 MPa (Tsat= 39.39°C) 267.97 268.68 280.19 291.36 302.34
0.9043 0.9066 0.9428 0.9768 1.0093
313.20 324.01 334.82 345.65 356.52
1.0405 1.0707 1.1000 1.1286 1.1567
367.46 378.46 389.56
1.1841 1.2111 1.2376
400.74 1.2638 412.02 1.2895 423.40 1.3149 P= 1.60 MPa (Tsat= 57.92°C) 275.33
0.8982
278.20 291.33 303.74
0.9069 0.9457 0.9813
315.72
1.0148
63 de 211
10/08/2017
Tablas Termodinámicas
Tabla A13 (Sistema Internacional)
327.46 339.04 350.53 361.99
1.0467 1.0773 1.1069 1.1357
373.44 384.91 396.43 407.99
1.1638 1.1912 1.2181 1.2445
419.62 431.33 443.11
1.2704 1.2960 1.3212
64 de 211
10/08/2017
Tablas Termodinámicas
Figura A14 (Sistema Internacional)
Figura A14 Diagrama a P-h para el refrigerante 134a (Reimpresion con autorización de la American Society of Heating, Refrigerating, and AirConditioning Engineers, Inc., Atlante, G.A.) Nota: El punto de referencia utilizado para la gráfica es diferente que el utilizado en las tablas de R-134a. Por tanto, los problemas deberán resolverse utilizando todos los datos de propiedades obtenidos bien de las tablas o de la gráfica, pero no de ambos.
65 de 211
10/08/2017
Tablas Termodinámicas
Figura A14 (Sistema Internacional)
66 de 211
10/08/2017
Tablas Termodinámicas
Tabla A15 (Sistema Internacional)
TABLA A15 Funciones unidimensionales isoentrópicas de flujo comprensible para un gas ideal con calores específicos y masa molar constantes, con k = 1.4 t
P P0
r r0
M
M*
A A*
0 0.10 0.20 0.30 0.40
0 0.10943 0.21822 0.32572 0.43133
5.8218 2.9635 2.0351 1.5901
1.00000 0.99303 0.97250 0.93947 0.89562
1.00000 0.99502 0.98027 0.95638 0.92428
1.00000 0.99800 0.99206 0.98232 0.96899
0.50 0.60 0.70 0.80 0.90
0.53452 0.63480 0.73179 0.82514 0.91460
1.3398 1.1882 1.09437 1.03823 1.00886
0.84302 0.78400 0.72092 0.65602 0.59126
0.88517 0.84045 0.79158 0.74000 0.68704
0.95238 0.93284 0.91075 0.88652 0.86058
1.00 1.10 1.20 1.30 1.40
1.00000 1.08124 1.1583 1.2311 1.2999
1.00000 1.00793 1.03044 1.06631 1.1149
0.52828 0.46835 0.41238 0.36092 0.31424
0.63394 0.58169 0.53114 0.48291 0.43742
0.83333 0.80515 0.77640 0.74738 0.71839
1.50 1.60 1.70 1.80 1.90
1.3646 1.4254 1.4825 1.5360 1.5861
1.1762 1.2502 1.3376 1.4390 1.5552
0.27240 0.23527 0.20259 0.17404 0.14924
0.39498 0.35573 0.31969 0.28682 0.25699
0.68965 0.66138 0.63372 0.60680 0.58072
2.00 2.10 2.20 2.30 2.40
1.6330 1.6769 1.7179 1.7563 1.7922
1.6875 1.8369 2.0050 2.1931 2.4031
0.12780 0.10935 0.09352 0.07997 0.06840
0.23005 0.20580 0.18405 0.16458 0.14720
0.55556 0.53135 0.50813 0.48591 0.46468
2.50 2.60 2.70 2.80 2.90
1.8258 1.8572 1.8865 1.9140 1.9398
2.6367 2.8960 3.1830 3.5001 3.8498
0.05853 0.05012 0.04295 0.03685 0.03165
0.13169 0.11787 0.10557 0.09462 0.08489
0.44444 0.42517 0.40684 0.38941 0.37286
3.00 3.50 4.00 4.50 5.00
1.9640 2.0642 2.1381 2.1936 2.2361
4.2346 6.7896 10.719 16.562 25.000
0.02722 0.01311 0.00658 0.00346 189(10)-5
0.07623 0.04523 0.02766 0.01745 0.01134
0.35714 0.28986 0.23810 0.19802 0.16667
67 de 211
T T0
10/08/2017
Tablas Termodinámicas
Tabla A15 (Sistema Internacional)
6.00 7.00 8.00
633(10)-6 242(10)-6 102(10)-6
0.00519 0.00261 0.00141
0.12195 0.09259 0.07246
9.00 2.3772 327.189 474(10)-7 10.00 2.3904 535.938 236(10)-7 2.4495 0 t Cálculo a partir de las siguientes relaciones para k = 1.4:
0.000815 0.000495 0
0.05814 0.04762 0
M* M
2.2953 2.3333 2.3591
k 1 2 k 1M2
53.180 104.143 190.109
T k 1 2 1 M T0 2
k
P k 1 2 k 1 1 M p0 2
1
1
A 1 2 k 1 2 M 1 A * M k 1 2
r k 1 2 k 1 1 M r0 2 k 1 2 k 1
Una tabla más extensa aparece en Joseph H. Keenan y Joseph Kaye, Gas Tables (Nueva York: John Wiley & Sons, 1948), tabla 30.
68 de 211
10/08/2017
Tablas Termodinámicas
Tabla A16 (Sistema Internacional)
TABLA A16 Funciones unidimensionales de choque normal para un gas ideal con calores específicos y masa molar constantes, con k = 1.4 t
Mx
t
My
Py
ρy
Ty
P0y
P0y
Px
ρx
Tx
P0x
Px
1.00 1.10 1.20 1.30 1.40
1.00000 0.91177 0.84217 0.78596 0.73971
1.0000 1.2450 1.5133 1.8050 2.1200
1.0000 1.1691 1.3416 1.5157 1.6896
1.0000 1.0649 1.1280 1.1909 1.2547
1.0000 0.99892 0.99280 0.97935 0.95819
1.8929 2.1328 2.4075 2.7135 3.0493
1.50 1.60 1.70 1.80 1.90
0.70109 0.66844 0.64055 0.61650 0.59562
2.4583 2.8201 3.2050 3.6133 4.0450
1.8621 2.0317 2.1977 2.3592 2.5157
1.3202 1.3880 1.4583 1.5316 1.6079
0.92978 0.89520 0.85573 0.81268 0.76735
3.4133 3.8049 4.2238 4.6695 5.1417
2.00 2.10 2.20 2.30 2.40
0.57735 0.56128 0.54706 0.53441 0.52312
4.5000 4.9784 5.4800 6.0050 6.5533
2.6666 2.8119 2.9512 3.0846 3.2119
1.6875 1.7704 1.8569 1.9468 2.0403
0.72088 0.67422 0.62812 0.58331 0.54015
5.6405 6.1655 6.7163 7.2937 7.8969
2.50 2.60 2.70 2.80 2.90
0.51299 0.50387 0.49563 0.48817 0.48138
7.1250 7.7200 8.3383 8.9800 9.6450
3.3333 3.4489 3.5590 3.6635 3.7629
2.1375 2.2383 2.3429 2.4512 2.5632
0.49902 0.46012 0.42359 0.38946 0.35773
8.5262 9.1813 9.8625 10.569 11.302
3.00 4.00 5.00 10.00
0.47519 0.43496 0.41523 0.38757 0.37796
10.333 18.500 29.000 116.50
3.8571 4.5714 5.0000 5.7143 6.000
2.6790 4.0469 5.8000 20.3880
0.32834 0.13876 0.06172 0.00304 0
12.061 21.068 32.654 129.217
Cálculo a partir de las siguientes relaciones para k = 1.4: My
2 k 1 2M2xk 1 k 1
M2x
Px 1 k M2x Py 1 k M2y
ry rx
Py
Ty
Px
P0y P0x
Tx
Ty 1 M2X K 1 /2 Tx 1 M2Y K 1 /2
P0y Px
Mx MY
1 M2y k 1 /2 2 1 Mx k 1 /2
k 1 / 2 k 1
1 kM 1 M k 1 /2 2 x
k/ k 1
2 y
1 kM
2 y
Una tabla más extensa aparece en Joseph H. Keenan y Joseph Kaye, Gas Tables (Nueva York: John Wiley & Sons, 1948). tabla 30.
69 de 211
10/08/2017
Tablas Termodinámicas
Tabla A17 (Sistema Internacional)
TABLA A17 Propiedades de gas ideal del aire T K 200 210 220 230 240
h kJ/kg 199.97 209.97 219.97 230.02 240.02
0.3363 0.3987 0.4690 0.5477 0.6355
u kJ/kg 142.56 149.69 156.82 164.00 171.13
1707.0 1512.0 1346.0 1205.0 1084.0
s0 kJ/(kg • K) 1.29559 1.34444 1.39105 1.43557 1.47824
T K 550 560 570 580 590
h kJ/kg 555.74 565.17 575.59 586.04 596.52
250 260 270 280 285
11.86 12.66 13.50 14.38 15.31
u kJ/kg 396.86 404.42 411.97 419.55 427.15
133.1 127.0 121.2 115.7 110.6
250.05 260.09 270.11 280.13 285.14
0.7329 0.8405 0.9590 1.0889 1.1584
178.28 185.45 192.60 199.75 203.33
979.0 887.8 808.0 738.0 706.1
1.51917 1.55848 1.59634 1.63279 1.65055
600 610 620 630 640
607.02 617.53 628.07 638.63 649.22
16.28 17.30 18.36 19.84 20.64
434.78 442.42 450.09 457.78 465.50
105.8 101.2 96.92 92.84 88.99
290 295 300 305 310
290.16 295.17 300.19 305.22 310.24
1.2311 1.3068 1.3860 1.4686 1.5546
206.91 210.49 214.07 217.67 221.25
676.1 647.9 621.2 596.0 572.3
1.66802 1.68515 1.70203 1.71865 1.73498
650 660 670 680 690
659.84 670.47 681.14 691.82 702.52
21.86 23.13 24.46 25.85 27.29
473.25 481.01 488.81 496.62 504.45
85.34 81.89 78.61 75.50 72.56
315 320 325 330 340
315.27 320.29 325.31 330.34 340.42
1.6442 1.7375 1.8345 1.9352 2.149
224.85 228.42 232.02 235.61 242.82
549.8 528.6 508.4 489.4 454.1
1.75106 1.76690 1.78249 1.79783 1.82790
700 710 720 730 740
713.27 724.04 734.82 745.62 756.44
28.80 30.38 32.02 33.72 35.50
512.33 520.23 528.14 536.07 544.02
69.76 67.07 64.53 62.13 59.82
350 360 370 380 390
350.49 360.58 370.67 380.77 390.88
2.379 2.626 2.892 3.176 3.481
250.02 257.24 264.46 271.69 278.93
422.2 393.4 367.2 343.4 321.5
1.85708 1.88543 1.91313 1.94001 1.96633
750 760 780 800 820
767.29 778.18 800.03 821.95 843.98
37.35 39.27 43.35 47.75 52.59
551.99 560.01 576.12 592.30 608.59
57.63 55.54 51.64 48.08 44.84
400 410 420 430 440
400.98 411.12 421.26 431.43 441.61
3.806 4.153 4.522 4.915 5.332
286.16 293.43 300.69 307.99 315.30
301.6 283.3 266.6 251.1 236.8
1.99194 2.01699 2.04142 2.06533 2.08870
840 860 880 900 920
866.08 888.27 910.56 932.93 955.38
57.60 63.09 68.98 75.29 82.05
624.95 641.40 657.95 674.58 691.28
41.85 39.12 36.61 34.31 32.18
450 460 470 480 490
451.8 462.02 472.24 482.49 492.74
5.775 6.245 6.742 7.268 7.824
322.62 329.97 337.32 344.70 352.08
223.6 211.4 200.1 189.5 179.7
2.11161 2.13407 2.15604 2.17760 2.19876
940 960 980 1000 1020
977.92 1000.55 1023.25 1046.04 1068.89
89.28 97.00 105.2 114.0 123.4
708.08 725.02 741.98 758.94 776.10
30.22 28.40 26.73 25.17 23.72
500 510 520
503.02 513.32 523.63
8.411 9.031 9.684
359.49 366.92 374.36
170.6 162.1 154.1
2.21952 2.23993 2.25997
1040 1091.85 133.3 793.36 1060 1114.86 143.9 810.62 1080 1137.89 155.2 827.88
23.29 21.14 19.98
Pr
vr
70 de 211
Pr
vr
10/08/2017
Tablas Termodinámicas
530 540
533.98 544.35
Tabla A17 (Sistema Internacional)
10.37 11.10
381.84 389.34
146.7 139.7
2.27967 2.29906
71 de 211
1100 1161.07 167.1 845.33 18.896 1120 1184.28 179.7 862.79 17.886
10/08/2017
Tablas Termodinámicas
Tabla A17 (Sistema Internacional)
TABLA A17 Continuación Propiedades de gas ideal del aire T K 1140 1160 1180 1200 1220
h kJ/kg 1207.57 1230.92 1254.34 1277.79 1301.31
193.1 207.2 222.2 238.0 254.7
u kJ/kg 880.35 897.91 915.57 933.33 951.09
16.946 16.064 15.241 14.470 13.747
s0 kJ/(kg • K) 3.11883 3.13916 3.15916 3.17888 3.19834
1240 1260 1280 1300 1320
1324.93 1348.55 1372.24 1395.97 1419.76
272.3 290.8 310.4 330.9 352.5
968.95 986.90 1004.76 1022.82 1040.88
13.069 12.435 11.835 11.275 10.747
3.21751 3.23638 3.25510 3.27345 3.29160
1640 1806.46 878.9 1335.72 5.355 1660 1831.0 925.6 1354.48 5.147 1680 1855.5 974.2 1373.24 4.949 1700 1880.1 1025 1392.7 4.761 1750 1941.6 1161 1439.8 4.328
1340 1360 1380 1400 1420
1443.60 1467.49 1491.44 1515.42 1539.44
375.3 399.1 424.2 450.5 478.0
1058.94 10.247 1077.10 9.780 1095.26 9.337 1113.52 8.919 1131.77 8.526
3.30959 3.32724 3.34474 3.36200 3.37901
1800 1850 1900 1950 2000
Pr
vr
T K 1540 1560 1580 1600 1620
h kJ/kg 1684.51 1708.82 1733.17 1757.57 1782.0
2003.3 2065.3 2127.4 2189.7 2252.1
Pr 672.8 710.5 750.0 791.2 834.1
1310 1475 1655 1852 2068
u kJ/kg 1242.43 1260.99 1279.65 1298.3 1316.96
1487.2 1534.9 1582.6 1630.6 1678.7
vr 6.569 6.301 6.046 5.804 5.574
3.994 3.601 3.295 3.022 2.776
1440 1563.51 506.9 1150.13 8.153 3.39586 2050 2314.6 2303 1726.8 2.555 1460 1587.63 537.1 1168.49 7.801 3.41247 2100 2377.7 2559 1775.3 2.356 1480 1611.79 568.8 1186.95 7.468 3.42892 2150 2440.3 2837 1823.8 2.175 1500 1635.97 601.9 1205.41 7.152 3.44516 2200 2503.2 3138 1872.4 2.012 1520 1660.23 636.5 1223.87 6.854 3.46120 2250 2566.4 3464 1921.3 1.864 Nota: Las propiedades Pr (presión relativa) y vr (volumen específico relativo) son cantidades adimensionales utilizadas en el análisis de procesos isentrópicos, y no deberán confundirse con las propiedades de presión y volumen específico. Fuente: Kenneth Wark, Thermodynamics, 4a. ed. (Nueva York: McGraw-Hill, 1983), pp. 785-786, tabla A.5. Publicada originalmente en J. H. Keenan y J. Kaye, Gas Tables (Nueva York: John Wiley & Sons, 1948).
72 de 211
10/08/2017
Tablas Termodinámicas
Tabla A17 (Sistema Internacional)
s0 kJ/(kg • K) 2.31809 2.33685 2.35531 2.37348 2.39140 2.40902 2.42644 2.44356 2.46048 2.47716 2.49364 2.50985 2.52589 2.54175 2.55731 2.57277 2.58810 2.60319 2.61803 2.63280 2.64737 2.66176 2.69013 2.71787 2.74504 2.77170 2.79783 2.82344 2.84856 2.87324 2.89748 2.92128 2.94468 2.96770 2.99034 3.01260 3.03449 3.05608
73 de 211
10/08/2017
Tablas Termodinámicas
Tabla A17 (Sistema Internacional)
3.07732 3.09825
74 de 211
10/08/2017
Tablas Termodinámicas
Tabla A17 (Sistema Internacional)
s0 kJ/(kg • K) 3.47712 3.49276 3.50829 3.52364 3.53879 3.55381 3.56867 3.58335 3.5979 3.6336 3.6684 3.7023 3.7354 3.7677 3.7994
3.8303 3.8605 3.8901 3.9191 3.9474 ativa) y vr (volumen específico relativo) son cantidades adimensionales sentrópicos, y no deberán confundirse con las propiedades de presión y
mics, 4a. ed. (Nueva York: McGraw-Hill, 1983), pp. 785-786, tabla A.5. nan y J. Kaye, Gas Tables (Nueva York: John Wiley & Sons, 1948).
75 de 211
10/08/2017
Tablas Termodinámicas
Tabla A18 (Sistema Internacional)
TABLA A18 Propiedades de gas ideal del nitrógeno, N2 T K 0 220 230 240 250
h
u
s
0
h
u
s
0
0 6,391 6,683 6,975 7,266
0 4,562 4,770 4,979 5,188
kJ/(kg • K) 0 182.639 183.938 185.180 186.370
T K 600 610 620 630 640
260 270 280 290 298
7,558 7,849 8,141 8,432 8,669
5,396 5,604 5,813 6,021 6,190
187.514 188.614 189.673 190.695 191.502
650 660 670 680 690
19,075 19,380 19,685 19,991 20,297
13,671 13,892 14,114 14,337 14,560
214.489 214.954 215.413 215.866 216.314
300 310 320 330 340
8,723 9,014 9,306 9,597 9,888
6,229 6,437 6,645 6,853 7,061
191.682 192.638 193.562 194.459 195.328
700 710 720 730 740
20,604 20,912 21,220 21,529 21,839
14,784 15,008 15,234 15,460 15,686
216.756 217.192 217.624 218.059 218.472
350 360 370 380 390
10,180 10,471 10,763 11,055 11,347
7,270 7,478 7,687 7,895 8,104
196.173 196.995 197.794 198.572 199.331
750 760 770 780 790
22,149 22,460 22,772 23,085 23,398
15,913 16,141 16,370 16,599 16,830
218.889 219.301 219.709 220.113 220.512
400 410 420 430 440
11,640 11,932 12,225 12,518 12,811
8,314 8,523 8,733 8,943 9,153
200.071 200.794 201.499 202.189 202.863
800 810 820 830 840
23,714 24,027 24,342 24,658 24,974
17,061 17,292 17,524 17,757 17,990
220.907 221.298 221.684 222.067 222.447
450 460 470 480 490
13,105 13,399 13,693 13,988 14,285
9,363 9,574 9,786 9,997 10,210
203.523 204.170 204.803 205.424 206.033
850 860 870 880 890
25,292 25,610 25,928 26,248 26,568
18,224 18,459 18,695 18,931 19,168
222.822 223.194 223.562 223.927 224.288
500 510 520 530 540
14,581 14,876 15,172 15,469 15,766
10,423 10,635 10,848 11,062 11,277
206.630 207.216 207.792 208.358 208.914
900 910 920 930 940
26,890 27,210 27,532 27,854 28,178
19,407 19,644 19,883 20,122 20,362
224.647 225.002 225.353 225.701 226.047
550 560 570 580
16,064 16,363 16,662 16,962
11,492 11,707 11,923 12,139
209.461 209.999 210.528 211.049
950 960 970 980
28,501 28,826 29,151 29,476
20,603 20,844 21,086 21,328
226.389 226.728 227.064 227.398
kJ/kmol
kJ/kmol
76 de 211
kJ/kmol 17,563 17,864 18,166 18,468 18,772
kJ/kmol kJ/(kg • K) 12,574 212.066 12,792 212.564 13,011 213.055 13,230 213.541 13,450 214.018
10/08/2017
Tablas Termodinámicas
590
17,262
Tabla A18 (Sistema Internacional)
12,356
211.562
77 de 211
990
29,803
21,571
227.728
10/08/2017
Tablas Termodinámicas
Tabla A18 (Sistema Internacional)
TABLA A18 Continuación Propiedades de gas ideal del nitrógeno, N2
h
u
T K 1,000 1,020 1,040 1,060 1,080
kJ/kmol 30,129 30,784 31,442 32,101 32,762
1,100 1,120 1,140 1,160 1,180
33,426 34,092 34,760 35,430 36,104
24,280 24,780 25,282 25,786 26,291
1,200 1,220 1,240 1,260 1,280
36,777 37,452 38,129 38,807 39,488
1,300 1,320 1,340 1,360 1,380
s
0
h
u
s
0
T K 1,760 1,780 1,800 1,820 1,840
kJ/kmol 56,227 56,938 57,651 58,363 59,075
231.199 231.799 232.391 232.973 233.549
1,860 1,880 1,900 1,920 1,940
59,790 60,504 61,220 61,936 62,654
44,324 44,873 45,423 45,973 46,524
249.365 249.748 250.128 250.502 250.874
26,799 27,308 27,819 28,331 28,845
234.115 234.673 235.223 235.766 236.302
1,960 1,980 2,000 2,050 2,100
63,381 64,090 64,810 66,612 68,417
47,075 47,627 48,181 49,567 50,957
251.242 251.607 251.969 252.858 253.726
40,170 40,853 41,539 42,227 42,915
29,361 29,378 30,398 30,919 31,441
236.831 237.353 237.867 238.376 238.878
2,150 2,200 2,250 2,300 2,350
70,226 72,040 73,856 75,676 77,496
52,351 53,749 55,149 56,553 57,958
254.578 255.412 256.227 257.027 257.810
1,400 1,420 1,440 1,460 1,480
43,605 44,295 44,988 45,682 46,377
31,964 32,489 33,014 33,543 34,071
239.375 239.865 240.350 240.827 241.301
2,400 2,450 2,500 2,550 2,600
79,320 81,149 82,981 84,814 86,650
59,366 60,779 62,195 63,613 65,033
258.580 259.332 260.073 260.799 261.512
1,500 1,520 1,540 1,560 1,580
47,073 47,771 48,470 49,168 49,869
34,601 35,133 35,665 36,197 36,732
241.768 242.228 242.685 243.137 243.585
2,650 2,700 2,750 2,800 2,850
88,488 90,328 92,171 94,014 95,859
66,455 67,880 69,306 70,734 72,163
262.213 262.902 263.577 264.241 264.895
1,600 1,620 1,640 1,660 1,680
50,571 51,275 51,980 52,686 53,393
37,268 37,806 38,344 38,884 39,424
244.028 244.464 244.896 245.324 245.747
2,900 2,950 3,000 3,050 3,100
97,705 99,556 101,407 103,260 105,115
73,593 75,028 76,464 77,902 79,341
265.538 266.170 266.793 267.404 268.007
1,700 1,720 1,740
54,099 54,807 55,516
39,965 40,507 41,049
246.166 246.580 246.990
3,150 3,200 3,250
106,972 108,830 110,690
80,782 82,224 83,668
268.601 269.186 269.763
kJ/kmol kJ/(kg • K) 21,815 228.057 22,304 228.706 22,795 229.344 23,288 229.973 23,782 230.591
78 de 211
kJ/kmol kJ/(kg • K) 41,594 247.396 42,139 247.798 42,685 248.195 43,231 248.589 43,777 248.979
10/08/2017
Tablas Termodinámicas
Tabla A18 (Sistema Internacional)
Fuente: Las tablas A.18 a A.25 se adaptaron de Kenneth Wark, Thermodynamics, 4a. ed. (Nueva York: McGraw-Hill, 1983), pp. 787-798. Publicadas originalmente en JANAF, Thermochemical Tables, NSRDS-NBS-37, 1971.
79 de 211
10/08/2017
Tablas Termodinámicas
Tabla A19 (Sistema Internacional)
TABLA A19 Propiedades de gas ideal del oxígeno, O 2 T K 0 220 230 240 250
h
u
kJ/kmol 0 6,404 6,694 6,984 7,275
kJ/kmol 0 4,575 4,782 4,989 5,197
260 270 280 290 298
7,566 7,858 8,150 8,443 8,682
300 310 320 330 340
0
0
h
u
kJ/(kg • K) 0 196.171 197.461 198.696 199.885
T K 590 600 610 620 630
kJ/kmol 17,609 17,929 18,250 18,572 18,895
kJ/kmol 12,703 12,940 13,178 13,417 13,657
kJ/(kg • K) 225.808 226.346 226.877 227.400 227.918
5,405 5,613 5,822 6,032 6,203
201.027 202.128 203.191 204.218 205.033
640 650 660 670 680
19,219 19,544 19,870 20,197 20,524
13,898 14,140 14,383 14,626 14,871
228.429 228.932 229.430 229.920 230.405
8,736 9,030 9,325 9,620 9,916
6,242 6,453 6,664 6,877 7,090
205.213 206.177 207.112 208.020 208.904
690 700 710 720 730
20,854 21,184 21,514 21,845 22,177
15,116 15,364 15,611 15,859 16,107
230.885 231.358 231.827 232.291 232.748
350 360 370 380 390
10,213 10,511 10,809 11,109 11,409
7,303 7,518 7,733 7,949 8,166
209.765 210.604 211.423 212.222 213.002
740 750 760 770 780
22,510 22,844 23,178 23,513 23,850
16,357 16,607 16,859 17,111 17,364
233.201 233.649 234.091 234.528 234.960
400 410 420 430 440
11,711 12,012 12,314 12,618 12,923
8,384 8,603 8,822 9,043 9,264
213.765 214.510 215.241 215.955 216.656
790 800 810 820 830
24,186 24,523 24,861 25,199 25,537
17,618 17,872 18,126 18,382 18,637
235.387 235.810 236.230 236.644 237.055
450 460 470 480 490
13,228 13,525 13,842 14,151 14,460
9,487 9,710 9,935 10,160 10,386
217.342 218.016 218.676 219.326 219.963
840 850 860 870 880
25,877 26,218 26,559 26,899 27,242
18,893 19,150 19,408 19,666 19,925
237.462 237.864 238.264 238.660 239.051
500 510 520 530 540
14,770 15,082 15,395 15,708 16,022
10,614 10,842 11,071 11,301 11,533
220.589 221.206 221.812 222.409 222.997
890 900 910 920 930
27,584 27,928 28,272 28,616 28,960
20,185 20,445 20,706 20,967 21,228
239.439 239.823 240.203 240.580 240.953
550 560
16,338 16,654
11,765 11,998
223.576 224.146
940 950
29,306 29,652
21,491 21,754
241.323 241.689
s
80 de 211
s
10/08/2017
Tablas Termodinámicas
570 580
16,971 17,290
Tabla A19 (Sistema Internacional)
12,232 12,467
224.708 225.262
81 de 211
960 970
29,999 30,345
22,017 22,280
242.052 242.411
10/08/2017
Tablas Termodinámicas
Tabla A19 (Sistema Internacional)
TABLA A19 Continuación Propiedades de gas ideal del oxígeno, O 2 T K 980 990 1,000 1,020 1,040
h
u
kJ/kmol 30,692 31,041 31,389 32,088 32,789
kJ/kmol 22,544 22,809 23,075 23,607 24,142
1,060 1,080 1,100 1,120 1,140
33,490 34,194 34,899 35,606 36,314
1,160 1,180 1,200 1,220 1,240
0
0
h
u
kJ/(kg • K) 242.768 242.120 243.471 244.164 244.844
T K 1,740 1,760 1,780 1,800 1,820
kJ/kmol 58,136 58,880 59,624 60,371 61,118
kJ/kmol 43,669 44,247 44,825 45,405 45,986
kJ/(kg • K) 263.435 263.861 264.283 264.701 265.113
24,677 25,214 25,753 26,294 26,836
245.513 246.171 246.818 247.454 248.081
1,840 1,860 1,880 1,900 1,920
61,866 62,616 63,365 64,116 64,868
46,568 47,151 47,734 48,319 48,904
265.521 265.925 266.326 266.722 267.115
37,023 37,734 38,447 39,162 39,877
27,379 27,923 28,469 29,018 29,568
248.698 249.307 249.906 250.497 251.079
1,940 1,960 1,980 2,000 2,050
65,620 66,374 67,127 67,881 69,772
49,490 50,078 50,665 51,253 52,727
267.505 267.891 268.275 268.655 269.588
1,260 1,280 1,300 1,320 1,340
40,594 41,312 42,033 42,753 43,475
30,118 30,670 31,224 31,778 32,334
251.653 252.219 252.776 253.325 253.868
2,100 2,150 2,200 2,250 2,300
71,668 73,573 75,484 77,397 79,316
54,208 55,697 57,192 58,690 60,193
270.504 271.399 272.278 273.136 273.891
1,360 1,380 1,400 1,420 1,440
44,198 44,923 45,648 46,374 47,102
32,891 33,449 34,008 34,567 35,129
254.404 254.932 255.454 255.968 256.475
2,350 2,400 2,450 2,500 2,550
81,243 83,174 85,112 87,057 89,004
61,704 63,219 64,742 66,271 67,802
274.809 275.625 276.424 277.207 277.979
1,460 1,480 1,500 1,520 1,540
47,831 48,561 49,292 50,024 50,256
35,692 36,256 36,821 37,387 37,952
256.978 257.474 257.965 258.450 258.928
2,600 2,650 2,700 2,750 2,800
90,956 92,916 94,881 96,852 98,826
69,339 70,883 72,433 73,987 75,546
278.738 279.485 280.219 280.942 281.654
1,560 1,580 1,600 1,620 1,640
51,490 52,224 52,961 53,696 54,434
38,520 39,088 39,658 40,227 40,799
259.402 259.870 260.333 260.791 261.242
2,850 2,900 2,950 3,000 3,050
100,808 102,793 104,785 106,780 108,778
77,112 78,682 80,258 81,837 83,419
282.357 283.048 283.728 284.399 285.060
1,660 1,680
55,172 55,912
41,370 41,944
261.690 262.132
3,100 3,150
110,784 112,795
85,009 86,601
285.713 286.355
s
82 de 211
s
10/08/2017
Tablas Termodinámicas
1,700 1,720
56,652 57,394
Tabla A19 (Sistema Internacional)
42,517 43,093
262.571 263.005
83 de 211
3,200 3,250
114,809 116,827
88,203 89,804
286.989 287.614
10/08/2017
Tablas Termodinámicas
Tabla A20 (Sistema Internacional)
TABLA A20 Propiedades de gas ideal del dióxido de carbono, CO 2 T K 0 220 230 240 250
kJ/kmol 0 6,601 6,938 7,280 7,627
kJ/kmol 0 4,772 5,026 5,285 5,548
kJ/(kg • K) 0 202.966 204.464 205.920 207.337
T K 590 600 610 620 630
kJ/kmol 21,807 22,280 22,754 23,231 23,709
kJ/kmol 16,902 17,291 17,683 18,076 18,471
kJ/(kg • K) 242.405 243.199 243.983 244.758 245.524
260 270 280 290 298
7,979 8,335 8,697 9,063 9,364
5,817 6,091 6,369 6,651 6,885
208.717 210.062 211.376 212.660 213.685
640 650 660 670 680
24,190 24,674 25,160 25,648 26,138
18,869 19,270 19,672 20,078 20,484
246.282 247.032 247.773 248.507 249.233
300 310 320 330 340
9,431 9,807 10,186 10,570 10,959
6,939 7,230 7,526 7,826 8,131
213.915 215.146 216.351 217.534 218.694
690 700 710 720 730
26,631 27,125 27,622 28,121 28,622
20,894 21,305 21,719 22,134 22,522
249.952 250.663 251.368 252.065 252.755
350 360 370 380 390
11,351 11,748 12,148 12,552 12,960
8,439 8,752 9,068 9,392 9,718
219.831 220.948 222.044 223.122 224.182
740 750 760 770 780
29,124 29,629 20,135 30,644 31,154
22,972 23,393 23,817 24,242 24,669
253.439 254.117 254.787 255.452 256.110
400 410 420 430 440
13,372 13,787 14,206 14,628 15,054
10,046 10,378 10,714 11,053 11,393
225.225 226.250 227.258 228.252 229.230
790 800 810 820 830
31,665 32,179 32,694 33,212 33,730
25,097 25,527 25,959 26,394 26,829
256.762 257.408 258.048 258.682 259.311
450 460 470 480 490
15,483 15,916 16,351 16,791 17,232
11,742 12,091 12,444 12,800 13,158
230.194 231.144 232.080 233.004 233.916
840 850 860 870 880
34,251 34,773 35,296 35,821 36,347
27,267 27,706 28,125 28,588 29,031
259.934 260.551 261.164 261.770 262.371
500 510 520 530 540
17,678 18,126 18,576 19,029 19,485
13,521 13,885 14,253 14,622 14,996
234.814 235.700 236.575 237.439 238.292
890 900 910 920 930
36,876 37,405 37,935 38,467 39,000
29,476 29,922 30,369 30,818 31,268
262.968 263.559 264.146 264.728 265.304
550 560 570
19,945 20,407 20,870
15,372 15,751 16,131
239.135 239.962 240.789
940 950 960
39,535 40,070 40,607
31,719 32,171 32,625
265.877 266.444 267.007
h
u
s
0
84 de 211
h
u
s
0
10/08/2017
Tablas Termodinámicas
580
21,337
Tabla A20 (Sistema Internacional)
16,515
241.602
970
85 de 211
41,145
33,081
267.566
10/08/2017
Tablas Termodinámicas
Tabla A20 (Sistema Internacional)
TABLA A20 Continuación Propiedades de gas ideal del dióxido de carbono, CO 2 T K 980 990 1,000 1,020 1,040
kJ/kmol 41,685 42,226 42,769 43,859 44,953
kJ/kmol 33,537 33,995 34,455 35,378 36,306
kJ/(kg • K) 268.119 268.670 269.215 270.293 271.354
T K 1,740 1,760 1,780 1,800 1,820
kJ/kmol 85,231 86,420 87,612 88,806 90,000
kJ/kmol 70,764 71,787 72,812 73,840 74,868
kJ/(kg • K) 300.863 301.543 302.217 302.884 303.544
1,060 1,080 1,100 1,120 1,140
46,051 47,153 48,258 49,369 50,484
37,238 38,174 39,112 40,057 41,006
272.400 273.430 274.445 275.444 276.430
1,840 1,860 1,880 1,900 1,920
91,196 92,394 93,593 94,793 95,995
75,897 76,929 77,962 78,996 80,031
304.198 304.845 305.487 306.122 306.751
1,160 1,180 1,200 1,220 1,240
51,602 52,724 53,848 54,977 56,108
41,957 42,913 43,871 44,834 45,799
277.403 278.361 297.307 280.238 281.158
1,940 1,960 1,980 2,000 2,050
97,197 98,401 99,606 100,804 103,835
81,067 82,105 83,144 84,185 86,791
307.374 307.992 308.604 309.210 310.701
1,260 1,280 1,300 1,320 1,340
57,244 58,381 59,522 60,666 61,813
46,768 47,739 48,713 49,691 50,672
282.066 282.962 283.847 284.722 285.586
2,100 2,150 2,200 2,250 2,300
106,864 109,898 112,939 115,984 119,035
89,404 92,023 94,648 97,277 99,912
312.160 313.589 314.988 316.356 317.695
1,360 1,380 1,400 1,420 1,440
62,963 64,116 65,271 66,427 67,586
51,656 52,643 53,631 54,621 55,614
286.439 287.283 288.106 288.934 289.743
2,350 2,400 2,450 2,500 2,550
122,091 125,152 128,219 131,290 134,368
102,552 105,197 107,849 110,504 113,166
319.011 320.302 321.566 322.808 324.026
1,460 1,480 1,500 1,520 1,540
68,748 66,911 71,078 72,246 73,417
56,609 57,606 58,606 59,609 60,613
290.542 291.333 292.114 292.888 292.654
2,600 2,650 2,700 2,750 2,800
137,449 140,533 143,620 146,713 149,808
115,832 118,500 121,172 123,849 126,528
325.222 326.396 327.549 328.684 329.800
1,560 1,580 1,600 1,620 1,640
74,590 76,767 76,944 78,123 79,303
61,620 62,630 63,741 64,653 65,668
294.411 295.161 295.901 296.632 297.356
2,850 2,900 2,950 3,000 3,050
152,908 156,009 159,117 162,226 165,341
129,212 131,898 134,589 137,283 139,982
330.896 331.975 333.037 334.084 335.114
1,660 1,680 1,700
80,486 81,670 82,856
66,592 67,702 68,721
298.072 298.781 299.482
3,100 3,150 3,200
168,456 171,576 174,695
142,681 145,385 148,089
336.126 337.124 338.109
h
u
s
0
86 de 211
h
u
s
0
10/08/2017
Tablas Termodinámicas
1,720
84,043
Tabla A20 (Sistema Internacional)
69,742
300.177
3,250
87 de 211
177,822
150,801
339.069
10/08/2017
Tablas Termodinámicas
Tabla A21 (Sistema Internacional)
TABLA A21 Propiedades de gas ideal del monóxido de carbono, CO T K 0 220 230 240 250
kJ/(kg • K) 0 188.683 189.980 191.221 192.411
T K 580 590 600 610 620
kJ/kmol 0 6,391 6,683 6,975 7,266
kJ/kmol 0 4,562 4,771 4,979 5,188
kJ/kmol 17,003 17,307 17,611 17,915 18,221
kJ/kmol 12,181 12,401 12,622 12,843 13,066
kJ/(kg • K) 217.175 217.693 218.204 218.708 219.205
260 270 280 290 298
7,558 7,849 8,140 8,432 8,669
5,396 5,604 5,812 6,020 6,190
193.554 194.654 195.713 196.735 197.543
630 640 650 660 670
18,527 18,833 19,141 19,449 19,758
13,289 13,512 13,736 13,962 14,187
219.695 220.179 220.656 221.127 221.592
300 310 320 330 340
8,723 9,014 9,306 9,597 9,889
6,229 6,437 6,645 6,854 7,062
197.723 198.678 199.603 200.500 201.371
680 690 700 710 720
20,068 20,378 20,690 21,002 21,315
14,414 14,641 14,870 15,099 15,328
222.052 222.505 222.953 223.396 223.833
350 360 370 380 390
10,181 10,473 10,765 11,058 11,351
7,271 7,480 7,689 7,899 8,108
202.217 203.040 203.842 204.622 205.383
730 740 750 760 770
21,628 21,943 22,258 22,573 22,890
15,558 15,789 16,022 16,255 16,488
224.265 224.692 225.115 225.533 225.947
400 410 420 430 440
11,644 11,938 12,232 12,526 12,821
8,319 8,529 8,740 8,951 9,163
206.125 206.850 207.549 208.252 208.929
780 790 800 810 820
23,208 23,526 23,844 24,164 24,483
16,723 16,957 17,193 17,429 17,665
226.357 226.762 227.162 227.559 227.952
450 460 470 480 490
13,116 13,412 13,708 14,005 14,302
9,375 9,587 9,800 10,014 10,228
209.593 210.243 210.880 211.504 212.117
830 840 850 860 870
24,803 25,124 25,446 25,768 26,091
17,902 18,140 18,379 18,617 18,858
228.339 228.724 229.106 229.482 229.856
500 510 520 530 540
14,600 14,898 15,197 15,497 15,797
10,443 10,658 10,874 11,090 11,307
212.719 213.310 213.890 214.460 215.020
880 890 900 910 920
26,415 26,740 27,066 27,392 27,719
19,099 19,341 19,583 19,826 20,070
230.227 230.593 230.957 231.317 231.674
550 560 570
16,097 16,399 16,701
11,524 11,743 11,961
215.572 216.115 216.649
930 940 950
28,046 28,375 28,703
20,314 20,559 20,805
232.028 232.379 232.727
h
u
s
0
88 de 211
h
u
s
0
10/08/2017
Tablas Termodinámicas
Tabla A21 (Sistema Internacional)
TABLA A21 Continuación Propiedades de gas ideal del monóxido de carbono, CO T K 960 970 980 990 1000
kJ/(kg • K) 233.072 233.413 233.752 234.088 234.421
T K 1,720 1,740 1,760 1,780 1,800
kJ/kmol 29,033 29,362 29,693 30,024 30,355
kJ/kmol 21,051 21,298 21,545 21,793 22,041
kJ/kmol 55,323 56,039 56,756 57,473 58,191
kJ/kmol 41,023 41,572 42,123 42,673 43,225
kJ/(kg • K) 253.169 253.582 253.991 254.398 254.797
1020 1040 1060 1080 1100
31,020 31,688 32,357 33,029 33,702
22,540 23,041 23,544 24,049 24,557
235.079 235.728 236.364 236.992 237.609
1,820 1,840 1,860 1,880 1,900
58,910 59,629 60,351 61,072 61,794
43,778 44,331 44,886 45,441 45,997
255.194 255.587 255.976 256.361 256.743
1120 1140 1160 1180 1200
34,377 35,054 35,733 36,406 37,095
25,065 25,575 26,088 26,602 27,118
238.217 238.817 239.407 239.989 240.663
1,920 1,940 1,960 1,980 2,000
62,516 63,238 63,961 64,684 65,408
46,552 47,108 47,665 48,221 48,780
257.122 257.497 257.868 258.236 258.600
1220 1240 1260 1280 1300
37,780 38,466 39,154 39,844 40,534
27,637 28,426 28,678 29,201 29,725
241.128 241.686 242.236 242.780 243.316
2,050 2,100 2,150 2,200 2,250
67,224 69,044 70,864 72,688 74,516
50,179 51,584 52,988 54,396 55,809
259.494 260.370 261.226 262.065 262.887
1320 1340 1360 1380 1400
41,226 41,919 42,613 43,309 44,007
30,251 30,778 31,306 31,836 32,367
243.844 244.366 244.880 245.388 245.889
2,300 2,350 2,400 2,450 2,500
76,345 78,178 80,015 81,852 83,692
57,222 58,640 60,060 61,482 62,906
263.692 264.480 265.253 266.012 266.755
1420 1440 1460 1480 1500
44,707 45,408 46,110 46,813 47,517
32,900 33,434 33,971 34,508 35,046
246.385 246.876 247.360 247.839 248.312
2,550 2,600 2,650 2,700 2,750
85,537 87,383 89,230 91,077 92,930
64,335 65,766 67,197 68,628 70,066
267.485 268.202 268.905 269.596 270.285
1520 1540 1560 1580 1600
48,222 48,928 49,635 50,344 51,053
35,584 36,124 36,665 37,207 37,750
248.778 249.240 249.695 250.147 250.592
2,800 2,850 2,900 2,950 3,000
94,784 96,639 98,495 100,352 102,210
71,504 72,945 74,383 75,825 77,267
270.943 271.602 272.249 272.884 273.508
1620 1640 1660 1680
51,763 52,472 53,184 53,895
38,293 38,837 39,382 39,927
251.033 251.470 251.901 252.329
3,050 3,100 3,150 3,200
104,073 105,939 107,802 109,667
78,715 80,164 81,612 83,061
274.123 274.730 275.326 275.914
h
u
s
0
89 de 211
h
u
s
0
10/08/2017
Tablas Termodinámicas
1700
54,609
Tabla A21 (Sistema Internacional)
40,474
252.751
3,250
90 de 211
111,534
84,513
276.494
10/08/2017
Tablas Termodinámicas
Tabla A22 (Sistema Internacional)
TABLA A22 Propiedades de gas ideal del hidrógeno, H2 T K 0 260 270 280 290
kJ/(kg • K) 0 126.636 127.719 128.765 129.775
T K 1,440 1,480 1,520 1,560 1,600
kJ/kmol 0 7,370 7,657 7,945 8,233
kJ/kmol 0 5,209 5,412 5,617 5,822
kJ/kmol 42,808 44,091 45,384 46,683 47,990
kJ/kmol 30,835 31,786 32,746 33,713 34,687
kJ/(kg • K) 177.410 178.291 179.153 179.995 180.820
298 300 320 340 360
8,468 8,522 9,100 9,680 10,262
5,989 6,027 6,440 6,853 7,268
130.574 130.754 132.621 134.378 136.039
1,640 1,680 1,720 1,760 1,800
49,303 50,622 51,947 53,279 54,618
35,668 36,654 37,646 38,645 39,652
181.632 182.428 183.208 183.973 184.724
380 400 420 440 460
10,843 11,426 12,010 12,594 13,179
7,684 8,100 8,518 8,936 9,355
137.612 139.106 140.529 141.888 143.187
1,840 1,880 1,920 1,960 2,000
55,962 57,311 58,668 60,031 61,400
40,663 41,680 42,705 43,735 44,771
185.463 186.190 186.904 187.607 188.297
480 500 520 560 600
13,764 14,350 14,935 16,107 17,280
9,773 10,193 10,611 11,451 12,291
144.432 145.628 146.775 148.945 150.968
2,050 2,100 2,150 2,200 2,250
63,119 64,847 66,584 68,328 70,080
46,074 47,386 48,708 50,037 51,373
189.148 189.979 190.796 191.598 192.385
640 680 720 760 800
18,453 19,630 20,807 21,988 23,171
13,133 13,976 14,821 15,669 16,520
152.863 154.645 156.328 157.923 159.440
2,300 2,350 2,400 2,450 2,500
71,839 73,608 75,383 77,168 78,960
52,716 54,069 55,429 56,798 58,175
193.159 193.921 194.669 195.403 196.125
840 880 920 960 1,000
24,359 25,551 26,747 27,948 29,154
17,375 18,235 19,098 19,966 20,839
160.891 162.277 163.607 164.884 166.114
2,550 2,600 2,650 2,700 2,750
80,755 82,558 84,368 86,186 88,008
59,554 60,941 62,335 63,737 65,144
196.837 197.539 198.229 198.907 199.575
1,040 1,080 1,120 1,160 1,200
30,364 31,580 32,802 34,028 35,262
21,717 22,601 23,490 24,384 25,284
167.300 168.449 169.560 170.636 171.682
2,800 2,850 2,900 2,950 3,000
89,838 91,671 93,512 95,358 97,211
66,558 67,976 69,401 70,831 72,268
200.234 200.885 201.527 202.157 202.778
1,240 1,280 1,320 1,360
36,502 37,749 39,002 40,263
26,192 27,106 28,027 28,955
172.698 173.687 174.652 175.593
3,050 3,100 3,150 3,200
99,065 100,926 102,793 104,667
73,707 75,152 76,604 78,061
203.391 203.995 204.592 205.181
h
u
s
0
91 de 211
h
u
s
0
10/08/2017
Tablas Termodinámicas
1,400
41,530
Tabla A22 (Sistema Internacional)
29,889
176.510
3,250
92 de 211
106,545
79,523
205.765
10/08/2017
Tablas Termodinámicas
Tabla A23 (Sistema Internacional)
TABLA A23 Propiedades de gas ideal del vapor de agua, H 20 T K 0 220 230 240 250
kJ/(kg • K) 0 178.576 180.054 181.471 182.831
T K 600 610 620 630 640
kJ/kmol 0 7,295 7,628 7,961 8,294
kJ/kmol 0 5,466 5,715 5,965 6,215
kJ/kmol 20,402 20,765 21,130 21,495 21,862
kJ/kmol 15,413 15,693 15,975 16,257 16,541
kJ/(kg • K) 212.920 213.529 214.122 214.707 215.285
260 270 280 290 298
8,627 8,961 9,296 9,631 9,904
6,466 6,716 6,968 7,219 7,425
184.139 185.399 186.616 187.791 188.720
650 660 670 680 690
22,230 22,600 22,970 23,342 23,714
16,826 17,112 17,399 17,688 17,978
215.856 216.419 216.976 217.527 218.071
300 310 320 330 340
9,966 10,302 10,639 10,976 11,314
7,472 7,725 7,978 8,232 8,487
188.928 190.030 191.098 192.136 193.144
700 710 720 730 740
24,088 24,464 24,840 25,218 25,597
18,268 18,561 18,854 19,148 19,444
218.610 219.142 219.668 220.189 220.707
350 360 370 380 390
11,652 11,992 12,331 12,672 13,014
8,742 8,998 9,255 9,513 9,771
194.125 195.081 196.012 196.920 197.807
750 760 770 780 790
25,977 26,358 26,741 27,125 27,510
19,741 20,039 20,339 20,639 20,941
221.215 221.720 222.221 222.717 223.207
400 410 420 430 440
13,356 13,699 14,043 14,388 14,734
10,030 10,290 10,551 10,813 11,075
198.673 199.521 200.350 201.160 201.955
800 810 820 830 840
27,896 28,284 28,672 29,062 29,454
21,245 21,549 21,855 22,162 22,470
223.693 224.174 224.651 225.123 225.592
450 460 470 480 490
15,080 15,428 15,777 16,126 16,477
11,339 11,603 11,869 12,135 12,403
202.734 203.497 204.247 204.982 205.705
850 860 870 880 890
29,846 30,240 30,635 31,032 31,429
22,779 23,090 23,402 23,715 24,029
226.057 226.517 226.973 227.426 227.875
500 510 520 530 540
16,828 17,181 17,534 17,889 18,245
12,671 12,940 13,211 13,482 13,755
206.413 207.112 207.799 208.475 209.139
900 910 920 930 940
31,828 32,228 32,629 33,032 33,436
24,345 24,662 24,980 25,300 25,621
228.321 228.763 229.202 229.637 230.070
550 560 570 580
18,601 18,959 19,318 19,678
14,028 14,303 14,579 14,856
209.795 210.440 211.075 211.702
950 960 970 980
33,841 34,247 34,653 35,061
25,943 26,265 26,588 26,913
230.499 230.924 231.347 231.767
h
u
s
0
93 de 211
h
u
s
0
10/08/2017
Tablas Termodinámicas
590
Tabla A23 (Sistema Internacional)
20,039
15,134
212.320
990
35,472
27,240
232.184
TABLA A23 Continuación Propiedades de gas ideal del vapor de agua, H 20 (Conclusión) T K 1,000 1,020 1,040 1,060 1,080
kJ/kmol 35,882 36,709 37,542 38,380 39,223
kJ/kmol 27,568 28,228 28,895 29,567 30,243
kJ/(kg • K) 232.597 233.415 234.223 235.020 235.806
T K 1,760 1,780 1,800 1,820 1,840
kJ/kmol 70,535 71,523 72,513 73,507 74,506
kJ/kmol 55,902 56,723 57,547 58,375 59,207
kJ/(kg • K) 258.151 258.708 259.262 259.811 260.357
1,100 1,120 1,140 1,160 1,180
40,071 40,923 41,780 42,642 43,509
30,925 31,611 32,301 32,997 33,698
236.584 237.352 238.110 238.859 239.600
1,860 1,880 1,900 1,920 1,940
75,506 76,511 77,517 78,527 79,540
60,042 60,880 61,720 62,564 63,411
260.898 261.436 261.969 262.497 263.022
1,200 1,220 1,240 1,260 1,280
44,380 45,256 46,137 47,022 47,912
34,403 35,112 35,827 36,546 37,270
240.333 241.057 241.773 242.482 243.183
1,960 1,980 2,000 2,050 2,100
80,555 81,573 82,593 85,156 87,735
64,259 65,111 65,965 68,111 70,275
263.542 264.059 264.571 265.838 267.081
1,300 1,320 1,340 1,360 1,380
48,807 49,707 50,612 51,521 52,434
38,000 38,732 39,470 40,213 40,960
243.877 244.564 245.243 245.915 246.582
2,150 2,200 2,250 2,300 2,350
90,330 92,940 95,562 98,199 100,846
72,454 74,649 76,855 79,076 81,308
268.301 269.500 270.679 271.839 272.978
1,400 1,420 1,440 1,460 1,480
53,351 54,273 55,198 56,128 57,062
41,711 42,466 43,226 43,989 44,756
247.241 247.895 248.543 249.185 249.820
2,400 2,450 2,500 2,550 2,600
103,508 106,183 108,868 111,565 114,273
83,553 85,811 88,082 90,364 92,656
274.098 275.201 276.286 277.354 278.407
1,500 1,520 1,540 1,560 1,580
57,999 58,942 59,888 60,838 61,792
45,528 46,304 47,084 47,868 48,655
250.450 251.074 251.693 252.305 252.912
2,650 2,700 2,750 2,800 2,850
116,991 119,717 122,453 125,198 127,952
94,958 97,269 99,588 101,917 104,256
279.441 280.462 281.464 282.453 283.429
1,600 1,620 1,640 1,660
62,748 63,709 64,675 65,643
49,445 50,240 51,039 51,841
253.513 254.111 254.703 255.290
2,900 2,950 3,000 3,050
130,717 133,486 136,264 139,051
106,605 108,959 111,321 113,692
284.390 285.338 286.273 287.194
1,680 1,700 1,720
66,614 67,589 68,567
52,646 53,455 54,267
255.873 256.450 257.022
3,100 3,150 3,200
141,846 144,648 147,457
116,072 118,458 120,851
288.102 288.999 289.884
h
u
s
0
94 de 211
h
u
s
0
10/08/2017
Tablas Termodinámicas
1,740
69,550
Tabla A23 (Sistema Internacional)
55,083
257.589
3,250
95 de 211
150,272
123,250
290.756
10/08/2017
Tablas Termodinámicas
Tabla A24 (Sistema Internacional)
TABLA A24 Propiedades de gas ideal del oxígeno monoatómico, O T K 0 298 300 500 1,000
kJ/kmol 0 6,852 6,892 11,197 21,713
kJ/kmol 0 4,373 4,398 7,040 13,398
kJ/(kg • K) 0 160.944 161.079 172.088 186.678
T K 2,400 2,450 2,500 2,550 2,600
kJ/kmol 50,894 51,936 52,979 54,021 55,064
kJ/kmol 30,940 31,566 32,193 32,820 33,447
kJ/(kg • K) 204.932 205.362 205.783 206.196 206.601
1,500 1,600 1,700 1,800 1,900
32,150 34,234 36,317 38,400 40,482
19,679 20,931 22,183 23,434 24,685
195.143 196.488 197.751 198.941 200.067
2,650 2,700 2,750 2,800 2,850
56,108 57,152 58,196 59,241 60,286
34,075 34,703 35,332 35,961 36,590
206.999 207.389 207.772 208.148 208.518
2,000 2,050 2,100 2,150 2,200
42,564 43,605 44,646 45,687 46,728
25,935 26,560 27,186 27,811 28,436
201.135 201.649 202.151 202.641 203.119
2,900 2,950 3,000 3,100 3,200
61,332 62,378 63,425 65,520 67,619
37,220 37,851 38,482 39,746 41,013
208.882 209.240 209.592 210.279 210.945
2,250 2,300 2,350
47,769 48,811 49,852
29,062 29,688 30,314
203.588 204.045 204.493
3,300 3,400 3,500
69,720 71,824 73,932
42,283 43,556 44,832
211.592 212.220 212.831
h
u
s
0
96 de 211
h
u
s
0
10/08/2017
Tablas Termodinámicas
Tabla A25 (Sistema Internacional)
TABLA A25 Propiedades de gas ideal del hidroxilo, OH T K 0 298 300 500 1,000
kJ/kmol 0 9,188 9,244 15,181 30,123
kJ/kmol 0 6,709 6,749 11,024 21,809
1,500 1,600 1,700 1,800 1,900
46,046 49,358 52,706 56,089 59,505
2,000 2,050 2,100 2,150 2,200 2,250 2,300 2,350
0
0
kJ/(kg • K) 0 183.594 183.779 198.955 219.624
T K 2,400 2,450 2,500 2,550 2,600
kJ/kmol 77,015 78,801 80,592 82,388 84,189
kJ/kmol 57,061 58,431 59,806 61,186 62,572
33,575 36,055 38,571 41,123 43,708
232.506 234.642 236.672 238.606 240.453
2,650 2,700 2,750 2,800 2,850
85,995 87,806 89,622 91,442 93,266
63,962 65,358 66,757 68,162 69,570
252.187 252.864 253.530 254.186 254.832
62,952 64,687 66,428 68,177 69,932
46,323 47,642 48,968 50,301 51,641
242.221 243.077 243.917 244.740 245.547
2,900 2,950 3,000 3,100 3,200
95,095 96,927 98,763 102,447 106,145
70,983 72,400 73,820 76,673 79,539
255.468 256.094 256.712 257.919 259.093
71,694 73,462 75,236
52,987 54,339 55,697
246.338 247.116 247.879
3,300 3,400 3,500
109,855 113,578 117,312
82,418 85,309 88,212
260.235 261.347 262.429
h
u
s
97 de 211
h
u
s
kJ/(kg • K) 248.628 249.364 250.088 250.799 251.499
10/08/2017
Tablas Termodinámicas
Tabla A26 (Sistema Internacional)
TABLA A26 Entalpía de formación, función de Gibbs de formación y entropía absoluta a 25°C, 1 atm o
o
Sustancia Acetileno
Fórmula C2H2(g)
Agua
gf
hf
kJ/kmol
s
kJ/kmol
o
kJ/(kg • K)
226,730
209,170
200.85
H2(l)
-285,830
-237,180
69.92
Alcohol etílico
C2H5OH(l)
-277,690
-174,890
160.70
Alcohol etílico
C2H5OH(g)
-235,310
-168,570
282.59
Alcohol metílico
CH3OH(l)
-238,660
-166,360
126.80
Alcohol metílico
CH3OH(g)
-200,670
-162,000
239.70
Amoniaco
NH3(g)
-46,190
-16,590
192.33
Benceno Carbón
C6H6(g)
82,930 0
129,660 0
269.20 5.74
Dióxido de carbono
C(s) CO2(g)
-393,520
-394,360
213.80
Etano
C2H6(g)
-84,680
-32,890
229.49
Etileno Hidrógeno
C2H4(g)
52,280 218,000
68,120 203,290
219.83 114.72
0 39,460
0 34,280
130.68 183.70
-74,850 -110,530
-50,790 -137,150
186.16 197.65
-126,150
-15,710
310.12
-291,010 472,650
50,150 455,510
622.83 153.30
Hidrógeno Hidroxilo Metano Monóxido de carbono n-butano
H(g) H2(g) OH(g) CH4(g) CO(g) C4H10(g)
n-dodecano Nitrógeno
C12H26(g)
Nitrógeno
N2(g)
0
0
191.61
n-octano
C8H18(l)
-249,950
6,610
360.79
n-octano Oxígeno Oxígeno
C8H18(g) O(g) O2(g)
-208,450 249,190 0
16,530 231,770 0
466.73 161.06 205.04
Peróxido de hidrógeno
H2O2(g)
-136,310
-105,600
232.63
Propano
C3H8(g)
-103,850
-23,490
269.91
Propileno
C3H6(g)
20,410
62,720
266.94
Vapor de agua
H2O(g)
-241,820
-228,590
188.83
N(g)
Fuente: De JANAF, Thermochemical Tables (Midland, MI: Dow Chemical Co., 1971); Selected Values of Chemical Thermodynamic Properties, NBS Technical Note 270-3, 1968; Y API Research Project 44 (Carnegie Press, 1953).
98 de 211
10/08/2017
Tablas Termodinámicas
Tabla A27 (Sistema Internacional)
TABLA A27 Propiedades de algunos combustibles e hidrocarburos comunes
Combustible (fase)
Masa molar, Densidad,1 kg/kmol kg/L
1-Penteno (l)
Fórmula C5H10
Acetileno (g)
C2H2
26.038
Benceno (l)
C6H6
Butano (l) Carbono (s)
C4H10
Decano (l)
Calor específico,1 Cp kJ/kg • C
0.641
363
2.20
—
1.69
78.114
0.877
433
1.72
58.123 12.011
0.579 2
362 —
2.42 0.708
C10H22
142.285
0.730
361
2.21
Diesel ligero (l)
CnH1.8n
170
0.78—0.84
270
2.2
Diesel pesado (l)
CnH1.7n
200
0.82—0.88
230
1.9
Etano (g)
C2H6
30.070
172
1.75
Etanol (l)
C2H6O
46.069
0.79
919
2.44
Gas natural (g)
CnH3.8nN0.1n
Gasolina (l)
CnH1.87n
100-110
0.72—0.78
350
2.4
Heptano (l)
C7H16
100.204
0.684
365
2.24
Hexano (l)
C6H14
86.177
0.660
366
2.27
Hexeno (l)
C6H12
84.161
0.673
392
1.84
Hidrógeno (g)
H2
—
14.4
Isopentano (l)
C5H12
72.150
—
2.32
Metano (g)
CH4
16.043
—
509
2.20
Metanol (l) Monóxido de carbono (g)
CH4O
32.042 28.013
0.790 —
1168 —
2.53 1.05
Octano (l)
C8H18
114.231
0.703
363
2.23
Propano (l)
C3H8
44.097
0.500
420
2.77
C
CO
70.134
Entalpía de vaporización,2 kJ/kg
18
2.016
—
— 0.626
2
C7H8 Tolueno (l) 92.141 0.867 412 1.71 1 A 1 atm y 20°C. 2 A 25°C para combustibles líquidos, y 1 atm y temperatura normal de ebullición para combustibles gaseosos. 3 A 25°C. Multiplique por la masa molar para obtener los valores caloríficos en kJ/kmol.
99 de 211
10/08/2017
Tablas Termodinámicas
calorífico superior,3 kJ/kg
Tabla A27 (Sistema Internacional)
calorífico inferior, 3 kJ/kg
47,760
44,630
49,970
48,280
41,800
40,100
49,150 32,800
45,370 32,800
47,640
44,240
46,100
43,200
45,500
42,800
51,900
47,520
29,670
26,810
50,000
45,000
47,300
44,000
48,100
44,600
48,310
44,740
47,500
44,400
141,800
120,000
48,570
44,910
55,530
50,050
22,660 10,100
19,920 10,100
47,890
44,430
50,330
46,340
42,400
40,500
mbustibles gaseosos.
100 de 211
10/08/2017
Tablas Termodinámicas
Tabla A28 (Sistema Internacional)
TABLA A28 Logaritmos base q de la constante de equilibrio Kp
La constante de equijibrio Kp para la reacción nAA + nBB nCC + nDD se define como Temp., H2 2H O2 2O K 298 -164.005 -186.975 500 -92.827 -105.630 1,000 -39.803 -45.150 1,200 -30.874 -35.005 1,400 -24.463 -27.742
N2 2N
H2O H2 + ½ O2
H2O ½ H2 + O2
KP
PCn C PDn D PAn A PBn B
CO2 CO + ½ O2
½ N2 +½ O2 NO
-367.480 -213.372 -99.127 -80.011 -66.329
-92.208 -52.691 -23.163 -18.182 -14.609
-106.208 -60.281 -26.034 -20.283 -16.099
-103.762 -57.616 -23.529 -17.871 -13.842
-35.052 -20.295 -9.388 -7.569 -6.270
1,600 1,800 2,000 2,200 2,400
-19.637 -15.866 -12.840 -10.353 -8.276
-22.285 -18.030 -14.622 -11.827 -9.497
-56.055 -48.051 -41.645 -36.391 -32.011
-11.921 -9.826 -8.145 -6.768 -5.619
-13.066 -10.657 -8.728 -7.148 -5.832
-10.830 -8.497 -6.635 -5.120 -3.860
-5.294 -4.536 -3.931 -3.433 -3.019
2,600 2,800 3,000 3,200 3,400
-6.517 -5.002 -3.685 -2.534 -1.516
-7.521 -5.826 -4.357 -3.072 -1.935
-28.304 -25.117 -22.359 -19.937 -17.800
-4.648 -3.812 -3.086 -2.451 -1.891
-4.719 -3.763 -2.937 -2.212 -1.576
-2.801 -1.894 -1.111 -0.429 0.169
-2.671 -2.372 -2.114 -1.888 -1.690
3,600 3,800 4,000 4,500 5,000
-0.609 0.202 0.934 2.486 3.725
-0.926 -0.019 0.796 2.513 3.895
-15.898 -14.199 -12.660 -9.414 -6.807
-1.392 -0.945 -0.542 0.312 0.996
-1.088 -0.501 -0.044 0.920 1.689
0.701 1.176 1.599 2.490 3.197
-1.513 -1.356 -1.216 -0.921 -0.686
5,500 6,000
4.743 5.590
5.023 5.963
-4.666 -2.865
1.560 2.032
2.318 2.843
3.771 4.245
-0.497 -0.341
101 de 211
10/08/2017
Tablas Termodinámicas
Tabla A28 (Sistema Internacional)
Fuente: Gordon J. Van Wylen y Richard E. Sonntag, Fundamentals of Classical Thermodynamics, versión inglés/SI, 3a. ed. (Nueva York: John Wiley & Sons, 1986), p. 723, tabla A.14. Con base en información termodinámica proporcionada en JANAF, Thermochemical Tables (Midland, MI: Thermal Research Laboratory, The Dow Chemical Company, 1971).
102 de 211
10/08/2017
Tablas Termodinámicas
Tabla A29 (Sistema Internacional)
TABLA A29 Propiedades de la atmósfera a gran altitud
Altitud, Temperatura, Presión, m °C kPa 0 15.00 101.33 200 13.70 98.95 400 12.40 96.61 600 11.10 94.32 800 9.80 92.08
Velocidad Gravedad, del sonido, Densidad, g•m/s2 m/s kg/m3 9.807 340.3 1.225 9.806 339.5 1.202 9.805 338.8 1.179 9.805 338.0 1.156 9.804 337.2 1.134
Viscosidad, m kg/m•s 1.789 x 10-5 1.783 x 10-5 1.777 x 10-5 1.771 x 10-5 1.764 x 10-5
Conductividad térmica, W / m•°C 0.0253 0.0252 0.0252 0.0251 0.0250
1,000 1,200 1,400 1,600 1,800
8.50 7.20 5.90 4.60 3.30
89.88 87.72 85.60 83.53 81.49
9.804 9.803 9.802 9.802 9.801
336.4 335.7 334.9 334.1 333.3
1.112 1.090 1.069 1.048 1.027
1.758 1.752 1.745 1.739 1.732
x 10-5 x 10-5 x 10-5 x 10-5 x 10-5
0.0249 0.0248 0.0247 0.0245 0.0244
2,000 2,200 2,400 2,600 2,800
2.00 0.70 -0.59 -1.89 -3.19
79.50 77.55 75.63 73.76 71.92
9.800 9.800 9.799 9.799 9.798
332.5 331.7 331.0 330.2 329.4
1.007 0.987 0.967 0.947 0.928
1.726 1.720 1.713 1.707 1.700
x 10-5 x 10-5 x 10-5 x 10-5 x 10-5
0.0243 0.0242 0.0241 0.0240 0.0239
3,000 3,200 3,400 3,600 3,800
-4.49 -5.79 -7.09 8.39 -9.69
70.12 68.36 66.63 64.94 63.28
9.797 9.797 9.796 9.796 9.795
328.6 327.8 327.0 326.2 325.4
0.909 0.891 0.872 0.854 0.837
1.694 1.687 1.681 1.674 1.668
x 10-5 x 10-5 x 10-5 x 10-5 x 10-5
0.0238 0.0237 0.0236 0.0235 0.0234
4,000 4,200 4,400 4,600 4,800
-10.98 -12.3 -13.6 -14.9 -16.2
61.66 60.07 58.52 57.00 55.51
9.794 9.794 9.793 9.793 9.792
324.6 323.8 323.0 322.2 321.4
0.819 0.802 0.785 0.769 0.752
1.661 1.655 1.648 1.642 1.635
x 10-5 x 10-5 x 10-5 x 10-5 x 10-5
0.0233 0.0232 0.0231 0.0230 0.0229
5,000 5,200 5,400 5,600 5,800
-17.5 -18.8 -20.1 -21.4 -22.7
54.05 52.62 51.23 49.86 48.52
9.791 9.791 9.790 9.789 9.785
320.5 319.7 318.9 318.1 317.3
0.736 0.721 0.705 0.690 0.675
1.628 1.622 1.615 1.608 1.602
x 10-5 x 10-5 x 10-5 x 10-5 x 10-5
0.0228 0.0227 0.0226 0.0224 0.0223
6,000 6,200 6,400 6,600 6,800
-24.0 -25.3 -26.6 -27.9 -29.2
47.22 45.94 44.69 43.47 42.27
9.788 9.788 9.787 9.786 9.785
316.5 315.6 314.8 314.0 313.1
0.660 0.646 0.631 0.617 0.604
1.595 1.588 1.582 1.575 1.568
x 10-5 x 10-5 x 10-5 x 10-5 x 10-5
0.0222 0.0221 0.0220 0.0219 0.0218
103 de 211
10/08/2017
Tablas Termodinámicas
7,000 8,000 9,000 10,000
-30.5 -36.9 -43.4 -49.9
Tabla A29 (Sistema Internacional)
41.11 35.65 30.80 26.50
9.785 9.782 9.779 9.776
312.3 308.1 303.8 299.5
0.590 0.526 0.467 0.414
1.561 1.527 1.493 1.458
x 10-5 x 10-5 x 10-5 x 10-5
0.0217 0.0212 0.0206 0.0201
12,000 -56.5 19.40 9.770 295.1 0.312 1.422 x 10-5 0.0195 -5 14,000 -56.5 14.17 9.764 295.1 0.228 1.422 x 10 0.0195 16,000 -56.5 10.53 9.758 295.1 0.166 1.422 x 10-5 0.0195 -5 18,000 -56.5 7.57 9.751 295.1 0.122 1.422 x 10 0.0195 Fuente: U.S. Standard Atmosphere Supplements. Oficina de Impresiones del Gobierno de los EE.UU., 1966. Basadas en las condiciones medias anuales a una latitud de 45° y varía con la época del año y con los patrones del clima. Las condiciones al nivel del mar (z = 0) se consideran como p= 101.325 kPa, T= 15°C, r = 1.2250 kg/m3, g= 9.80665 m/s2.
104 de 211
10/08/2017
Tablas Termodinámicas
Figura A30a (Sistema Internacional)
Figura A30a Gráfica generalizada de compresibilidad de Nelson-Obert-bajas presiones. Empleadas con permiso del doctor Edward E. Obert, Universidad de Wisconsin.)
105 de 211
10/08/2017
Tablas Termodinámicas
Figura A30a (Sistema Internacional)
106 de 211
10/08/2017
Tablas Termodinámicas
Figura A30b (Sistema Internacional)
Figura A30b Gráfica generalizada de compresibilidad de Nelson-Obert-presiones intermedias. Empleadas con permiso del doctor Edward E. Obert, Universidad de Wisconsin.)
107 de 211
10/08/2017
Tablas Termodinámicas
Figura A30c (Sistema Internacional)
Figura A30c Gráfica generalizada de compresibilidad de Nelson-Obert-presiones altas. Empleadas con permiso del doctor Edward E. Obert, Universidad de Wisconsin.)
108 de 211
10/08/2017
Tablas Termodinámicas
Figura A31 (Sistema Internacional)
Figura A31 Gráfica generalizada de desviación de entalpía. (Fuente: John R. Howell y Richard O. Buckius, Fundamentals of Engineering Thermodynamics, version S.I. (Nueva York: McGraw-Hill, 1987), p.558, fig. C.2 y p. 561, fig. C.5.
109 de 211
10/08/2017
Tablas Termodinámicas
Figura A31 (Sistema Internacional)
110 de 211
10/08/2017
Tablas Termodinámicas
Figura A32 (Sistema Internacional)
Figura A32 Gráfica generalizada de desviación de entalpía. (Fuente: John R. Howell y Richard O. Buckius, Fundamentals of Engineering Thermodynamics, version S.I. (Nueva York: McGraw-Hill, 1987), p.558, fig. C.3 y p. 561, fig. C.5.
111 de 211
10/08/2017
Tablas Termodinámicas
Figura A33 (Sistema Internacional)
Figura A33 Gráfica psicométrica a 1 atm de presión total. (Reproducida con permiso de la American Society of Heating, Refrigerating and Air-Conditioning Engineers, Inc., Atlanta)
112 de 211
10/08/2017
Tablas Termodinámicas
Figura A33 (Sistema Internacional)
113 de 211
10/08/2017
Tablas Termodinámicas
Tabla A1E (Sistema Inglés)
TABLA A1E Masa molar, constante de gas y propiedades del punto crítico
Sustancia Amoniaco Argón
Masa molar Fórmula lbm/lbmol NH3 17.03
Btu/(lbm•R)*
R psia•pie3/(lbm•R)*
Temp. R
Ar Br2
39.948
0.1166 0.04971
0.6301 0.2686
729.8 272
159.808
0.01243
0.06714
1052
Dióxido de carbono Monóxido de carbono
CO2 CO
44.01 28.011
0.04513 0.07090
0.2438 0.3831
547.5 240
Cloro
CI2
70.906
0.02801
0.1517
751
Deuterio (normal) Helio
D2
4.00 4.003
0.4965 0.4961
2.6825 2.6805
69.1 9.5
2.016 83.80
0.9851 0.02370
5.3224 0.1280
59.9 376.9
20.183
0.09840
0.5316
80.1
Nitrógeno
Ne N2
28.013
0.07090
0.3830
227.1
Óxido nitroso
N2O
44.013
0.04512
0.2438
557.4
Oxígeno
O2
31.999
0.06206
0.3353
278.6
Dióxido de azufre
SO2
64.063
0.03100
1.1675
775.2
Agua Xenón
H2O
18.015 131.30
0.1102 0.01513
0.5956 0.08172
1165.3 521.55
Bromo
Hidrógeno (normal) Kriptón Neón
He H2 Kr
Benceno
Xe C6H6
78.115
0.02542
0.1374
1012
n-Butano
C4H10
58.124
0.03417
0.1846
765.2
Tetracloruro de carbón
CCl4
153.82
0.01291
0.06976
1001.5
Cloroformo
CHCI3
119.38
0.01664
0.08988
965.8
Diclorodifluorometano (R-12)
CCI2F2
120.91
0.01643
0.08874
692.4
Diclorofluorometano
CHCI2F
102.92
0.01930
0.1043
813.0
Etano
C2H6
30.070
0.06616
0.3574
549.8
Alcohol etílico
C2H5OH
46.07
0.04311
0.2329
929.0
Etileno
C2H4
28.054
0.07079
0.3825
508.3
n-Hexano
C6H14
86.178
0.02305
0.1245
914.2
Metano
CH4
16.043
0.1238
0.6688
343.9
Alcohol metílico
CH3OH
32.042
0.06198
0.3349
923.7
Cloruro metílico
CH3Cl
50.488
0.03934
0.2125
749.3
Propano
C3H8
44.097
0.04504
0.2433
665.9
Propeno
C3H6
42.081
0.04719
0.2550
656.9
114 de 211
10/08/2017
Tablas Termodinámicas
Tabla A1E (Sistema Inglés)
Propino
C3H4
40.065
0.04957
0.2678
722
Triclorofluorometano Aire
CCl3F
137.37 28.97
0.01446 0.06855
0.07811 0.3704
848.1 -------
-
*Calculada de R=Ru/M, donde Ru=1.986 Btu/(lbmol•R)=10.73 psia•pie3/(lbmol•R) y M es la masa molar.
Fuente: Gordon J. Van Wylen y Richard E. Sonntag, Fundamentals of Classical Thermodinamics, versión inglés/Sl, 3a. ed., Wiley. Nuev 1986, p. 687, tabla A.6E. Publicado originalmente en K. A. Kobe y R. E. Lynn, Jr., Chemical Review, vol. 52, pp. 117-236, 1953.
115 de 211
10/08/2017
Tablas Termodinámicas
Tabla A1E (Sistema Inglés)
Presión psia
Volumen pie3/lbmol
1636 705
1.16 1.20
1500
2.17
1071 507
1.51 1.49
1120
1.99
241 33.2
--------0.926
188.1 798
1.04 1.48
395
0.668
492
1.44
1054
1.54
736
1.25
1143
1.95
3204 852
0.90 1.90
714
4.17
551
4.08
661
4.42
794
3.85
582
3.49
749
3.16
708
2.37
926
2.68
742
1.99
439
5.89
673
1.59
1154
1.89
968
2.29
617
3.20
670
2.90
116 de 211
10/08/2017
Tablas Termodinámicas
Tabla A1E (Sistema Inglés)
776
-------
635 -------
3.97 -------
)=10.73 psia•pie3/(lbmol•R) y M es la masa molar.
undamentals of Classical Thermodinamics, versión inglés/Sl, 3a. ed., Wiley. Nueva York, K. A. Kobe y R. E. Lynn, Jr., Chemical Review, vol. 52, pp. 117-236, 1953.
117 de 211
10/08/2017
Tablas Termodinámicas
Tabla A2Ea (Sistema Inglés)
TABLA A2E Calores específicos de gas ideal de varios gases comunes a) A 80°F Gas Aire Argón Butano
Fórmula Ar C4H10
Constante de gas R Btu/(lbm • R) 0.06855 0.04971
Cp0
Cv0
Btu/(lbm•R) Btu/(lbm•R) 0.240 0.171 0.1253 0.0756
k 1.400 1.667
0.03424
0.415
0.381
1.09
Dióxido de carbono Monóxido de carbono
CO2 CO
0.04513 0.07090
0.203 0.249
0.158 0.178
1.285 1.399
Etano
C2H6
0.06616
0.427
0.361
1.183
Etileno Helio
C2H4
0.07079 0.4961
0.411 1.25
0.340 0.753
1.208 1.667
0.9851
3.43
2.44
1.404
Hidrógeno
He H2
Metano
CH4
0.1238
0.532
0.403
1.32
Neón
0.09840
0.246
0.1477
1.667
Nitrógeno
Ne N2
0.07090
0.248
0.177
1.400
Octano
C8H18
0.01742
0.409
0.392
1.044
Oxígeno
O2
0.06206
0.219
0.157
1.395
Propano
C3H8
0.04504
0.407
0.362
1.124
H2O Vapor 0.1102 0.445 0.335 1.329 Fuente: Gordon J. Van Wylen y Richard E. Sonntag, Fundamentals of Classical Thermodinamics, versión inglés/Sl, 3a. ed., Wiley. Nueva York, 1986, p. 687, tabla A.8E.
118 de 211
10/08/2017
Tablas Termodinámicas
Tabla A2Eb (Sistema Inglés)
TABLA A2E (Continuación) Calores específicos de gas ideal de varios gases comunes b) A diversas temperaturas CP0 Temp. °F 40 100 200 300 400
Btu/(lbm•R)
Cv0
CP0
CP0
0.240 0.240 0.241 0.243 0.245
Btu/(lbm•R) Aire 0.171 0.172 0.173 0.174 0.176
1.401 1.400 1.397 1.394 1.389
0.195 0.205 0.217 0.229 0.239
0.150 0.160 0.172 0.184 0.193
1.300 1.283 1.262 1.246 1.233
500 600 700 800 900
0.248 0.250 0.254 0.257 0.259
0.179 0.182 0.185 0.188 0.191
1.383 1.377 1.371 1.365 1.358
0.247 0.255 0.262 0.269 0.275
0.202 0.210 0.217 0.224 0.230
1.223 1.215 1.208 1.202 1.197
0.256 0.259 0.262 0.266 0.269
1000 1500 2000
0.263 0.276 0.286
1.353 1.330 1.312
0.280 0.298 0.312
1.192 1.178 1.169
0.273 0.287 0.297
0.195 0.208 0.217 Hidrógeno, H2
k
Cv0
Btu/(lbm•R) Btu/(lbm•R) k Dióxido de carbono, CO2
0.235 0.253 0.267 Nitrógeno, N2
Btu/(lbm•R) Monóxido de carbono, 0.248 0.249 0.249 0.251 0.253
Oxígeno, O
40 100 200 300 400
3.397 3.426 3.451 3.461 3.466
2.412 2.441 2.466 2.476 2.480
1.409 1.404 1.399 1.398 1.397
0.248 0.248 0.249 0.250 0.251
0.177 0.178 0.178 0.179 0.180
1.400 1.399 1.398 1.396 1.393
0.219 0.220 0.223 0.226 0.230
500 600 700 800 900
3.469 3.473 3.477 3.494 3.502
2.484 2.488 2.492 2.509 2.519
1.397 1.396 1.395 1.393 1.392
0.254 0.256 0.260 0.262 0.265
0.183 0.185 0.189 0.191 0.194
1.388 1.383 1.377 1.371 1.364
0.235 0.239 0.242 0.246 0.249
1000 3.513 2.528 1.390 0.269 0.198 1.359 0.252 1500 3.618 2.633 1.374 0.283 0.212 1.334 0.263 2000 3.758 2.773 1.355 0.293 0.222 1.319 0.270 Fuente: Kenneth Wark, Thermodynamics, 4a. ed., McGraw-Hill, Nueva York, 1983, p. 830, tabla A-4, Publicada originalment Tables of Properties of Gases, NBS Circular 564, 1955.
119 de 211
10/08/2017
Tablas Termodinámicas
Tabla A2Eb (Sistema Inglés)
Cv0 Btu/(lbm•R) k Monóxido de carbono, CO 0.177 1.400 0.178 1.399 0.179 1.397 0.180 1.394 0.182 1.389 0.185 0.188 0.191 0.195 0.198 0.202 0.216 0.226 Oxígeno, O2
1.384 1.377 1.371 1.364 1.357 1.351 1.328 1.314
0.156 0.158 0.161 0.164 0.168
1.397 1.394 1.387 1.378 1.368
0.173 0.177 0.181 0.184 0.187
1.360 1.352 1.344 1.337 1.331
0.190 1.326 0.201 1.309 0.208 1.298 cGraw-Hill, Nueva York, 1983, p. 830, tabla A-4, Publicada originalmente en 55.
120 de 211
10/08/2017
Tablas Termodinámicas
Tabla A2Ec (Sistema Inglés)
TABLA A2E (Continuación) Calores específicos de gas ideal de varios gases comunes c) como función de la temperatura
Cp0 a bT cT2 dT3
T en K, en C
p0
Sustancia
Fórmula
a
Nitrógeno
N2
Oxígeno
Btu /( lbmol R)
Nivel de temp. K
b
c
6.903
-0.02085 x 10-2
0.05957 x 10-5
-0.1176 x 10-9
491-3240
O2
6.085
0.2017 x 10-2
-0.05275 x 10-5
0.05372 x 10-9
491-3240
Aire
-
6.713
0.02609 x 10
Hidrógeno
H2
6.952
Monóxido de carbono CO
d
0.03540 x 10
-0.08052 x 10
-9
491-3240
-0.02542 x 10-2
0.02952 x 10-5
-0.03565 x 10-9
491-3240
6.726
0.02222 x 10-2
0.03960 x 10-5
-0.09100 x 10-9
491-3240
-2
-5
Dióxido de carbono
CO2
5.316
0.79361 x 10-2
-0.2581 x 10-5
0.3059 x 10-9
491-3240
Vapor de Agua
H2O
7.700
0.02552 x 10-2
0.07781 x 10-5
-0.1472 x 10-9
491-3240
Óxido nítrico
NO
7.008
-0.01247 x 10-2
0.07185 x 10-5
-0.1715 x 10-9
491-2700
Óxido nitroso
N2O
5.758
0.7780 x 10-2
-0.2596 x 10-5
0.4331 x 10-9
491-2700
Dióxido nitrógeno
NO2
5.48
0.7583 x 10-2
0.260 x 10-5
0.322 x 10-9
491-2700
Amoniaco
NH3
6.5846
0.34028 x 10-2
0.073034 x 10-5
-0.27402 x 10-9
491-2700
Azufre
S2
6.499
0.2943 x 10
-0.1200 x 10
0.1632 x 10
-9
491-3240
Dióxido de azufre
SO2
6.157
0.7689 x 10-2
-0.2810 x 10-5
0.3527 x 10-9
491-3240
Trióxido de azufre
SO3
3.918
1.935 x 10-2
-0.8256 x 10-5
1.328 x 10-9
491-2340
Acetilieno
C2H2
5.21
Benceno
C6H6
-8.650
Metanol
CH4O
4.55
1.214 x 10
Etanol
C2H5OH
4.75
2.781 x 10-2
Ácido clorhídrico
HCl
7.244
Metano
CH4
4.750
Etano
C2H6
1.648
2.291 x 10-2
Propano
C3H8
-0.966
n-Butano
C4H10
0.945
1.2227 x 10
-2
-2
6.4322 x 10-2
-5
-0.4812 x 10
-5
-2.327 x 10-5 -0.0898 x 10
0.7457 x 10
-9
491-2700
3.179 x 10-9
491-2700
-0.329 x 10
-9
491-1800
-0.7651 x 10-5
0.821 x 10-9
491-2700
-0.1011 x 10-2
0.09783 x 10-5
-0.1776 x 10-9
491-2740
0.6666 x 10
0.09352 x 10
-0.4510 x 10
-9
491-2740
-0.4722 x 10-5
0.2984 x 10-9
491-2740
4.044 x 10-2
-1.159 x 10-5
1.300 x 10-9
491-2740
4.929 x 10-2
-1.352 x 10-5
1.433 x 10-9
491-2740
-2
-2
121 de 211
-5
-5
10/08/2017
Tablas Termodinámicas
Tabla A2Ec (Sistema Inglés)
i-Butano
C4H10
-1.890
5.520 x 10-2
-1.696 x 10-5
2.044 x 10-9
491-2740
n-Pentano
C5H12
1.618
6.028 x 10-2
-1.656 x 10-5
1.732 x 10-9
491-2740
n-Hexano
C6H14
1.657
7.328 x 10-2
-2.112 x 10-5
2.363 x 10-9
491-2740
Etileno
C2H4
0.944
2.075 x 10-2
-0.6151 x 10-5
0.7326 x 10-9
491-2740
C3H6 Propileno 0.753 3.162 x 10-2 -0.8981 x 10-5 1.008 x 10-9 491-2740 Fuente:B. G. Kyle, Chemical and Process Thermodynamics, Prentice-Hall, Englewood Cliffs, N.J., 1984.
122 de 211
10/08/2017
Tablas Termodinámicas
Tabla A2Ec (Sistema Inglés)
% error Máx Prom 0.59
0.34
1.19
0.28
0.72
0.33
1.02
0.26
0.89
0.37
0.67
0.22
0.53
0.24
0.97
0.36
0.59
0.26
0.46
0.18
0.91
0.36
0.99
0.38
0.45
0.24
0.29
0.13
1.46
0.59
0.34
0.20
0.18
0.08
0.40
0.22
0.22
0.08
1.33
0.57
0.83
0.28
0.40
0.12
0.54
0.24
123 de 211
10/08/2017
Tablas Termodinámicas
Tabla A2Ec (Sistema Inglés)
0.25
0.13
0.56
0.21
0.72
0.20
0.54
0.13
0.73
0.17
ynamics, Prentice-Hall, Englewood Cliffs, N.J., 1984.
124 de 211
10/08/2017
Tablas Termodinámicas
Tabla A3Ea (Sistema Inglés)
TABLA A3E Propiedades de líquidos, sólidos y alimentos comunes a) Líquidos Datos de ebullición a 1 atm
Sustancia
Punto normal de ebullición, °F
Datos de congelación
Calor latente de Punto vaporización, de congehfg Btu/lbm lación, °F
Aceite (ligero) Agua
— 212
— 970.5
32.0
Alcohol etílico Amoniaco
173.5 -27.9
368 24.54
-248.8 -107.9
Argón Benceno Dióxido de Carbono Etanol Etilén glicol Glicerina Helio Hidrógeno Isobutano Mercurio Metano
-302.6 176.4 -109.2* 172.8 388.6 355.8 -452.1 -423.0 10.9 674.1 258.7
69.5 169.4 99.6 (a 32 360.5 344.0 419 9.80 191.7 157.8 126.7 219.6
-308.7 41.9 -69.8 -173.6 12.6 66.0 — -434.5 -255.5 -38.0 296.0
Metanol n-Butano Nitrógeno
148.1 31.1 -320.4
473 165.6 85.4
-143.9 -217.3 -346.0
Octano Oxígeno Petróleo Propano
256.6 -297.3 — -43.7
131.7 91.5 99—165 184.0
-71.5 -361.8
Queroseno Refrigerante 134a
399—559 -15.0
108 93.2
-12.8 -141.9
125 de 211
-305.8
Calor latente de fusión, hfg Btu/lbm
Propiedades de líquido
Temp., Densidad r lbm/ft3 °F
77 ###32 90 150 212 68 46 -27.9 ###0 40 80 -302.6 ###68 54 32 — 77 47 68 78 68 86 -452.1 — -423 26 10.9 46 77 ###-258.7 25 -160 77 43 31.1 35 -320.4 11 -260 68 78 -297.3 5.9 68 -43.7 34 32.0 100 — 68 — -40 -15 32 90
56.8 62.4 62.1 61.2 59.8 49.3 42.6 41.3 39.5 37.5 87.0 54.9 57.8 48.9 69.2 78.7 9.13 4.41 37.1 847 26.4 20.0 49.1 37.5 50.5 38.2 43.9 71.2 40.0 36.3 33.0 29.4 51.2 88.5 86.0 80.9 73.6
10/08/2017
Tablas Termodinámicas
Tabla A3Ea (Sistema Inglés)
Salmuera (20% de cloruro de sodio por masa) 219.0 — 0.7 — 68 71.8 * Temperatura de sublimación. ( A presiones por debajo de las presión de punto triple 75.1 psia, el dióxido de carbono existe como sólido o como gas. También, la temperatura de punto de congelamiento del dióxido de carbono es la temperatura de punto triple de -69.8°F.)
126 de 211
10/08/2017
Tablas Termodinámicas
Tabla A3Ea (Sistema Inglés)
Propiedades de líquido Calor específico, Cp Btu/lbm °F 0.430 1.01 1.00 1.00 1.01 0.678 1.06 1.083 1.103 1.135 0.272 0.411 0.583 0.588 0.678 0.554 5.45 2.39 0.545 0.033 0.834 1.074 0.609 0.552 0.492 0.643 0.502 0.408 0.478 0.538 0.604 0.673 0.478 0.283 0.294 0.318 0.348
127 de 211
10/08/2017
Tablas Termodinámicas
Tabla A3Ea (Sistema Inglés)
0.743 es por debajo de las presión de punto triple 75.1 psia, el dióxido de carbono la temperatura de punto de congelamiento del dióxido de carbono es la
128 de 211
10/08/2017
Tablas Termodinámicas
Tabla A3Eb (Sistema Inglés)
TABLA A3E (Continuación) Propiedades de líquidos, sólidos y alimentos comunes b) Sólidos (los valores son para temperatura ambiente a menos que se indique otra cosa) r Cp 3 Sustancia lbm/ft Btu/lbm•°F Sustancia Metales No metales Acero dulce 489 0.119 Arena Aluminio Arcilla 100 °F 0.192 Asfalto 32 °F 0.212 Caucho(blando) 100 °F 0.218 Caucho (duro) 170 200 °F 0.224 Concreto 300 °F 0.229 Diamante 400 °F 0.235 Grafito 500 °F 0.240 Granito Bronce (76% Cu, 2% Zn, 2% Al) 517 0.0955 Hielo Cobre -100 °F 40 °F 0.0674 -50 °F 50 °F 0.0784 0 °F 60 °F 0.0862 20 °F 555 0 °F 0.0893 32 °F 00 °F 0.0925 Ladrillo común 00 °F 0.0938 Ladrillo refractario (500°C) 90 °F 0.0963 Madera contrachapada (abeto Douglas) Hierro 490 0.107 Maderas duras (maple, encino, etc.) Latón amarillo (655 Cu, 35% Zn) 519 0.0955 Maderas suaves (abeto, pino, etc.) Magnesio 108 0.239 Mármol Níquel 555 0.105 Piedra Plata 655 0.056 Piedra caliza Plomo 705 0.030 Vidrio para ventanas Tungsteno ### 0.031 Vidrio pirex Yeso o tabla de yeso
129 de 211
r lbm/ft3 62.4 94.9 132 68.7 71.8 144 151 156 169
57.5
120 144 34.0 45.0 32.0 162 103 93.6 169 139 50
10/08/2017
Tablas Termodinámicas
Tabla A3Eb (Sistema Inglés)
Cp Btu/lbm•°F 0.220 0.220
0.156 0.147 0.170 0.243 0.375 0.424 0.471 0.491 0.502 0.189 0.229
0.210 0.217 0.191 0.200 0.260
130 de 211
10/08/2017
Tablas Termodinámicas
Tabla A3Ec (Sistema Inglés)
TABLA A3E (Continuación) Propiedades de líquidos, sólidos y alimentos comunes c) Alimentos comunes Calor especifico, Cp Btu/(lbm • °F)
Alimentos Brócoli Camarón Carne de pollo Carne de res Cerezas
Contenido de agua, % (masa) 90 83 74 67 80
Punto de Por encima congela- del punto de ción, °F congelación 31 0.921 28 0.865 27 0.793 — 0.737 29 0.841
Por debajo del punto de congelación 0.471 0.450 0.423 0.402 0.441
Calor latente de fusión, Btu/lbm 129 119 106 96 115
Espinaca Fresas Huevo entero Leche entera Lechuga
93 90 74 88 95
31 31 31 31 32
0.945 0.921 0.793 0.905 0.961
0.481 0.471 0.423 0.465 0.487
134 129 106 126 136
Maíz dulce Mantecado (helado) Mantequilla Manzanas Naranjas
74 63 16 84 84
31 22 — 30 30
0.793 0.705 — 0.873 0.873
0.423 0.390 0.249 0.453 0.453
106 90 23 121 121
Papas (patatas) Pavo Plátanos Queso suizo Salmón
78 64 75 39 64
31 — 31 14 28
0.825 0.713 0.801 0.513 0.713
0.435 0.393 0.426 0.318 0.393
112 92 108 56 92
Sandía 93 31 0.945 0.481 134 Tomates (jitomates) maduros 94 31 0.953 0.484 135 El contenido de agua y los datos de punto de congelación para alimentos provienen del ASHRAE, Handbook of Fundamentals, versión I-P (Atlanta, GA: American Society of Heating, Refrigerating, and Air-Conditioning Engineers,Inc., 1993),capítulo 30, tabla 1. El punto de congelación es la temperatura a la que comienza la congelación para frutas y verduras, y la temperatura promedio de congelación para otros alimentos.
131 de 211
10/08/2017
Tablas Termodinámicas
Tabla A4E (Sistema Inglés)
TABLA A4E Agua saturada-tabla de temperaturas
Temp. °F
Pres sat. psia Psat
Volumen específico pie3/lbm Líquido Vapor sat. sat. vf vg
Energía interna Btu/lbm Líquido Vapor sat. Evap. sat. uf ufg ug
Entalpía Btu/lbm Líquido sat. hf
Evap. hfg
Vapor sat. hg
Entropía Btu/(lbm•R) Líquido sat. Evap. sf sfg
T 32.018 35 40 45 50
0.08866 0.09992 0.12166 0.14748 0.17803
0.016022 0.016021 0.016020 0.016021 0.016024
3302 2948 2445 2037 1704.2
0.00 2.99 8.02 13.04 18.06
1021.2 1019.2 1015.8 1012.5 1009.1
1021.2 1022.2 1023.9 1025.5 1027.2
0.01 3.00 8.02 13.04 18.06
1075.4 1073.7 1070.9 1068.1 1065.2
1075.4 1076.7 1078.9 1081.1 1083.3
0.00000 0.00607 0.01617 0.02618 0.03607
2.1869 2.1704 2.1430 2.1162 2.0899
60 70 80 90 100
0.2563 0.3632 0.5073 0.6988 0.9503
0.016035 0.016051 0.016073 0.016099 0.016130
1206.9 867.7 632.8 467.7 350.0
28.08 38.09 48.08 58.07 68.04
1002.4 995.6 988.9 982.2 975.4
1030.4 1033.7 1037.0 1040.2 1043.5
28.08 38.09 48.09 58.07 68.05
1059.6 1054.0 1048.3 1042.7 1037.0
1087.7 1092.0 1096.4 1100.7 1105.0
0.05555 0.07463 0.09332 0.11165 0.12963
2.0388 1.9896 1.9423 1.8966 1.8526
110 120 130 140 150
1.2763 1.6945 2.225 2.892 3.722
0.016166 0.016205 0.016247 0.016293 0.016343
265.1 203.0 157.17 122.88 96.99
78.02 87.99 97.97 107.95 117.95
968.7 961.9 955.1 948.2 941.3
1046.7 1049.9 1053.0 1056.2 1059.3
78.02 88.00 97.98 107.96 117.96
1031.3 1025.5 1019.8 1014.0 1008.1
1109.3 1113.5 1117.8 1121.9 1126.1
0.14730 0.16465 0.18172 0.19851 0.21503
1.8101 1.7690 1.7292 1.6907 1.6533
160 170 180 190 200
4.745 5.996 7.515 9.343 11.529
0.016395 0.016450 0.016509 0.016570 0.016634
77.23 62.02 50.20 40.95 33.63
127.94 137.95 147.97 158.00 168.04
934.4 927.4 920.4 913.3 906.2
1062.3 1065.4 1068.3 1071.3 1074.2
127.96 137.97 147.99 158.03 168.07
1002.2 996.2 990.2 984.1 977.9
1130.1 1134.2 1138.2 1142.1 1145.9
0.23130 0.24732 0.26311 0.27866 0.29400
1.6171 1.5819 1.5478 1.5146 1.4822
210 212 220 230 240
14.125 14.698 17.188 20.78 24.97
0.016702 0.016716 0.016772 0.016845 0.016922
27.82 26.80 23.15 19.386 16.327
178.10 180.11 188.17 198.26 208.36
898.9 897.5 891.7 884.3 876.9
1077.0 1077.6 1079.8 1082.6 1085.3
178.14 180.16 188.22 198.32 208.44
971.6 970.3 965.3 958.8 952.3
1149.7 1150.5 1153.5 1157.1 1160.7
0.30913 0.31213 0.32406 0.33880 0.35335
1.4508 1.4446 1.4201 1.3901 1.3609
250 260 270 280 290
29.82 35.42 41.85 49.18 57.53
0.017001 0.017084 0.017170 0.017259 0.017352
13.826 11.768 10.066 8.650 7.467
218.49 228.64 238.82 249.02 259.25
869.4 861.8 854.1 846.3 838.5
1087.9 1090.5 1093.0 1095.4 1097.7
218.59 228.76 238.95 249.18 259.44
945.6 938.8 932.0 924.9 917.8
1164.2 1167.6 1170.9 1174.1 1177.2
0.36772 0.38193 0.39597 0.40986 0.42360
1.3324 1.3044 1.2771 1.2504 1.2241
300 310 320 330 340
66.98 77.64 89.60 103.00 117.93
0.017448 0.017548 0.017652 0.017760 0.017872
6.472 5.632 4.919 4.312 3.792
269.52 279.81 290.14 300.51 310.91
830.5 822.3 814.1 805.7 797.1
1100.0 1102.1 1104.2 1106.2 1108.0
269.73 280.06 290.43 300.43 311.30
910.4 903.0 895.3 887.5 879.5
1180.2 1183.0 1185.8 1188.4 1190.8
0.43720 0.45067 0.46400 0.47722 0.49031
1.1984 1.1731 1.1483 1.1238 1.0997
350 360 370
134.53 152.92 173.23
0.017988 0.018108 0.018233
3.346 2.961 2.628
321.35 331.84 342.37
788.4 779.6 770.6
1109.8 1111.4 1112.9
321.80 332.35 342.96
871.3 862.9 854.2
1193.1 1195.2 1197.2
0.50329 0.51617 0.52894
1.0760 1.0526 1.0295
132 de 211
10/08/2017
Tablas Termodinámicas
Tabla A4E (Sistema Inglés)
380 390
195.60 220.2
0.018363 0.018498
2.339 2.087
352.95 363.58
761.4 752.0
1114.3 1115.6
353.62 364.34
845.4 836.2
1199.0 1200.6
0.54163 0.55422
1.0067 0.9841
400 410 420 430
247.1 276.5 308.5 343.3
0.018638 0.018784 0.018936 0.019094
1.8661 1.6726 1.5024 1.3521
374.27 385.01 395.81 406.68
742.4 732.6 722.5 712.2
1116.6 1117.6 1118.3 1118.9
375.12 385.97 396.89 407.89
826.8 817.2 807.2 796.9
1202.0 1203.1 1204.1 1204.8
0.56672 0.57916 0.59152 0.60381
0.9617 0.9395 0.9175 0.8957
133 de 211
10/08/2017
Tablas Termodinámicas
Tabla A4E (Sistema Inglés)
TABLA A4E (continuación) Agua saturada-tabla de temperaturas
Temp. °F
Pres sat. psia
Volumen específico pie3/lbm Líquido Vapor sat. sat.
Energía interna Btu/lbm Líquido Vapor sat. Evap. sat.
Entalpía Btu/lbm Líquido sat.
Evap.
Vapor sat.
Entropía Btu/(lbm•R) Líquido sat. Evap.
T 440 450 460 470 480
Psat
vf
vg
uf
ufg
ug
hf
hfg
hg
sf
sfg
381.2 422.1 466.3 514.1 565.5
0.019260 0.019433 0.019614 0.019803 0.020002
1.2192 1.1011 0.9961 0.9025 0.8187
417.62 428.6 439.7 450.9 462.2
701.7 690.9 679.8 668.4 656.7
1119.3 1119.5 1119.6 1119.4 1118.9
418.98 430.2 441.4 452.8 464.3
786.3 775.4 764.1 752.4 740.3
1205.3 1205.6 1205.5 1205.2 1204.6
0.61605 0.6282 0.6404 0.6525 0.6646
0.8740 0.8523 0.8308 0.8093 0.7878
490 500 520 540 560
620.7 680.0 811.4 961.5 1131.8
0.020211 0.02043 0.02091 0.02145 0.02207
0.7436 0.6761 0.5605 0.4658 0.3877
473.6 485.1 508.5 532.6 557.4
644.7 632.3 606.2 578.4 548.4
1118.3 1117.4 1114.8 1111.0 1105.8
475.9 487.7 511.7 536.4 562.0
727.8 714.8 687.3 657.5 625.0
1203.7 1202.5 1198.9 1193.8 1187
0.6767 0.6888 0.7130 0.7374 0.7620
0.7663 0.7448 0.7015 0.6576 0.6129
580 600 620 640
1324.3 1541.0 1784.4 2057.1
0.02278 0.02363 0.02465 0.02593
0.3225 0.2677 0.2209 0.1805
583.1 609.9 638.3 668.7
515.9 480.1 440.2 394.5
1098.9 1090.0 1078.5 1063.2
588.6 616.7 646.4 678.6
589.3 549.7 505.0 453.4
1178 1166.4 1151.4 1131.9
0.7872 0.8130 0.8398 0.8681
0.5668 0.5187 0.4677 0.4122
660 2362 0.02767 0.14459 702.3 340.0 1042.3 714.4 391.1 1105.5 0.8990 0.3493 680 2705 0.03032 0.11127 741.7 269.3 1011.0 756.9 309.8 1066.7 0.9350 0.2718 700 3090 0.03666 0.07438 801.7 145.9 947.7 822.7 167.5 990.2 0.9902 0.1444 705.44 3204 0.05053 0.05053 872.6 0 872.6 902.5 0 902.5 1.0508 0 Fuente las tablas de la A-4E a la A-8E se adaptaron de Gordon J. Van Wylen y Richard E. Sonntag, Fundamentals of Classical Themodinamics, versión ingles/SI, 3a, ed., Wiley, Nueva york,1986, p. 619-633 Publicada originalmante en Joseph H. Keenan, Frederick, G. Keyes, Philip G. Hill y Joan G. Moore, Steam Tables, Unidades SI, Wiley, Nueva York, 1969.
134 de 211
10/08/2017
Tablas Termodinámicas
Tabla A4E (Sistema Inglés)
Entropía Btu/(lbm•R) Vapor sat. sg 2.1869 2.1764 2.1592 2.1423 2.1259 2.0943 2.0642 2.0356 2.0083 1.9822 1.9574 1.9336 1.9109 1.8892 1.8684 1.8484 1.8293 1.8109 1.7932 1.7762 1.7599 1.7567 1.7441 1.7289 1.7143 1.7001 1.6864 1.6731 1.6602 1.6477 1.6356 1.6238 1.6123 1.6010 1.5901 1.5793 1.5688 1.5585
135 de 211
10/08/2017
Tablas Termodinámicas
Tabla A4E (Sistema Inglés)
1.5483 1.5383 1.5284 1.5187 1.5091 1.4995
136 de 211
10/08/2017
Tablas Termodinámicas
Tabla A4E (Sistema Inglés)
Entropía Btu/(lbm•R) Vapor sat. sg 1.4900 1.4806 1.4712 1.4618 1.4524 1.4430 1.4335 1.4145 1.3950 1.3749 1.3540 1.3317 1.3075 1.2803
1.2483 1.2068 1.1346 1.0580 de Gordon J. Van Wylen y Richard E. Sonntag, Fundamentals of Classical ueva york,1986, p. 619-633 Publicada originalmante en Joseph H. Keenan, Steam Tables, Unidades SI, Wiley, Nueva York, 1969.
137 de 211
10/08/2017
Tablas Termodinámicas
Tabla A5E (Sistema Inglés)
TABLA A5E Agua saturada-tabla de presiones
Press. Psia P 1.0 2.0 3.0 4.0 5.0
Temp. Sat. ºF Tsat 101.70 126.04 141.43 152.93 162.21
6.0 8.0 10 14.696 15
Volumen específico pie3/lbm Líquido sat. vf
Vapor sat. vg
Energía interna Btu/lbm Líquido sat. uf
Evap ufg
Entalpía Btu/lbm
Vapor sat. ug
Líquido sat. hf
Evap hfg
Entropía Btu/(lbm • R) Vapor sat. hg
Líquido sat. sf
Evap sfg
0.016136 0.016230 0.016300 0.016358 0.016407
333.6 173.75 118.72 90.64 73.53
69.74 94.02 109.38 120.88 130.15
974.3 957.8 947.2 939.3 932.9
1044.0 1051.8 1056.6 1060.2 1063.0
69.74 94.02 109.39 120.89 130.17
1036.0 1022.1 1013.1 1006.4 1000.9
1105.8 1116.1 1122.5 1127.3 1131.0
0.13266 0.17499 0.20089 0.21983 0.23486
1.8453 1.7448 1.6852 1.6426 1.6093
170.03 182.84 193.19 211.99 213.03
0.016451 0.016526 0.016590 0.016715 0.016723
61.98 47.35 38.42 26.80 26.29
137.98 150.81 161.20 180.10 181.14
927.4 918.4 911.0 897.5 896.8
1065.4 1069.2 1072.2 1077.6 1077.9
138.00 150.84 161.23 180.15 181.19
996.2 988.4 982.1 970.4 969.7
1134.2 1139.3 1143.3 1150.5 1150.9
0.24736 0.26754 0.28358 0.31212 0.31367
1.5819 1.5383 1.5041 1.4446 1.4414
20 25 30 35 40
227.96 240.08 250.34 259.30 267.26
0.016830 0.016922 0.017004 0.017073 0.017146
20.09 16.306 13.748 11.900 10.501
196.19 208.44 218.84 227.93 236.03
885.8 876.9 869.2 862.4 856.2
1082.0 1085.3 1088.0 1090.3 1092.3
196.26 208.52 218.93 228.04 236.16
960.1 952.2 945.4 939.3 933.8
1156.4 1160.7 1164.3 1167.4 1170.0
0.33580 0.35345 0.36821 0.38093 0.39214
1.3962 1.3607 1.3314 1.3064 1.2845
45 50 55 60 65
274.46 281.03 287.10 292.73 298.00
0.017209 0.017269 0.017325 0.017378 0.017429
9.403 8.518 7.789 7.177 6.657
243.37 250.08 256.28 262.06 267.46
850.7 845.5 840.8 836.3 832.1
1094.0 1095.6 1097.0 1098.3 1099.5
243.51 250.24 256.46 262.25 267.67
928.8 924.2 919.9 915.8 911.9
1172.3 1174.4 1176.3 1178.0 1179.6
0.40218 0.41129 0.41963 0.42733 0.43450
1.2651 1.2476 1.2317 1.2170 1.2035
70 75 80 85 90
302.96 307.63 312.07 316.29 320.31
0.017478 0.017524 0.017570 0.017613 0.017655
6.209 5.818 5.474 5.170 4.898
272.56 277.37 281.95 286.30 290.46
828.1 824.3 820.6 817.1 813.8
1100.6 1101.6 1102.6 1103.5 1104.3
272.79 277.61 281.21 286.58 290.76
908.3 904.8 901.4 898.2 895.1
1181.0 1182.4 1183.6 1184.8 1185.9
0.44120 0.44749 0.45344 0.45907 0.46442
1.1909 1.1790 1.1679 1.1574 1.1475
95 100 110 120 130
324.16 327.86 334.82 341.30 347.37
0.017696 0.017736 0.017813 0.017886 0.017957
4.654 4.434 4.051 3.730 3.457
294.45 298.28 305.52 312.27 318.61
810.6 807.5 801.6 796.0 790.7
1105.0 1105.8 1107.1 1108.3 1109.4
294.76 298.61 305.88 312.67 319.04
892.1 889.2 883.7 878.5 873.5
1186.9 1187.8 1189.6 1191.1 1192.5
0.46952 0.47439 0.48355 0.49201 0.49989
1.1380 1.1290 1.1122 1.0966 1.0822
140 150 160 170 180
353.08 358.48 363.60 368.47 373.13
0.018024 0.018089 0.018152 0.018214 0.018273
3.221 3.016 2.836 2.676 2.533
324.58 330.24 335.63 340.76 345.68
785.7 781.0 776.4 772.0 767.7
1110.3 1111.2 1112.0 1112.7 1113.4
325.05 330.75 336.16 341.33 346.29
868.7 864.2 859.8 855.6 851.5
1193.8 1194.9 1196.0 1196.9 1197.8
0.50727 0.51422 0.52078 0.52700 0.53292
1.0688 1.0562 1.0443 1.0330 1.0223
190 200
377.59 381.86
0.018331 0.018387
2.405 2.289
350.39 354.9
763.6 759.6
1114.0 1114.6
351.04 355.6
847.5 843.7
1198.6 0.53857 1199.3 0.5440
1.0122 1.0025
138 de 211
10/08/2017
Tablas Termodinámicas
Tabla A5E (Sistema Inglés)
250 300 350
401.04 417.43 431.82
0.018653 0.018896 0.019124
1.8448 1.5442 1.3267
375.4 393.0 408.7
741.4 725.1 710.3
1116.7 1118.2 1119.0
376.2 394.1 409.9
825.8 809.8 795.0
1202.1 1203.9 1204.9
0.5680 0.5883 0.6060
0.9594 0.9232 0.8917
400 450 500
444.70 456.39 467.13
0.019340 0.019547 0.019748
1.1620 1.0326 0.9283
422.8 435.7 447.7
696.7 683.9 671.7
1119.5 1119.6 1119.4
424.2 437.4 449.5
781.2 768.2 755.8
1205.5 1205.6 1205.3
0.6218 0.6360 0.6490
0.8638 0.8385 0.8154
139 de 211
10/08/2017
Tablas Termodinámicas
Tabla A5E (Sistema Inglés)
TABLA A5E (Continuación) Agua saturada-tabla de presiones
Press. Psia P 550 600
Temp. Sat. ºF Tsat 477.07 486.33
700 800 900 1000 1200 1400 1600 1800 2000 2500 3000 3203.6
503.23 518.36 532.12 544.75 567.37 587.25 605.06 621.21 636.00 668.31 695.52 705.44
Volumen específico pie3/lbm Líquido sat. vf
Vapor sat. vg
Energía interna Btu/lbm Líquido sat. uf
Evap ufg
Entalpía Btu/lbm
Vapor sat. ug
Líquido sat. hf
Evap hfg
Entropía Btu/(lbm•R) Vapor sat. hg
Líquido sat. sf
Evap sfg
0.019943 0.02013
0.8423 0.7702
458.9 469.4
660.2 649.1
1119.1 1118.6
460.9 471.7
743.9 732.4
1204.8 1204.1
0.6611 0.6723
0.7941 0.7742
0.02051 0.02087 0.02123 0.02159 0.02232 0.02307 0.02386 0.02472 0.02565 0.02860 0.03431 0.05053
0.6558 0.5691 0.5009 0.4459 0.3623 0.3016 0.2552 0.2183 0.18813 0.13059 0.08404 0.05053
488.9 506.6 523.0 538.4 566.7 592.7 616.9 640.0 662.4 717.7 783.4 872.6
628.2 608.4 589.6 571.5 536.8 503.3 470.5 437.6 404.2 313.4 185.4 0
1117.0 1115.0 1112.6 1109.9 1103.5 1096.0 1087.4 1077.7 1066.6 1031.0 968.8 872.6
491.5 509.7 526.6 542.4 571.7 598.6 624.0 648.3 671.9 730.9 802.5 902.5
710.5 689.6 669.5 650.0 612.3 575.5 538.9 502.1 464.4 360.5 213.0 0
1202.0 1199.3 1196.0 1192.4 1183.9 1174.1 1162.9 1150.4 1136.3 1091.4 1015.5 902.5
0.6927 0.7110 0.7277 0.7432 0.7712 0.7964 0.8196 0.8414 0.8623 0.9131 0.9732 1.0580
0.7378 0.7050 0.6750 0.6471 0.5961 0.5497 0.5062 0.4645 0.4238 0.3196 0.1843 0
140 de 211
10/08/2017
Tablas Termodinámicas
Tabla A5E (Sistema Inglés)
Entropía Btu/(lbm • R) Vapor sat. sg 1.9779 1.9198 1.8861 1.8624 1.8441 1.8292 1.8058 1.7877 1.7567 1.7551 1.7320 1.7142 1.6996 1.6873 1.6767 1.6673 1.6589 1.6513 1.6444 1.6380 1.6321 1.6265 1.6214 1.6165 1.6219 1.6076 1.6034 1.5957 1.5886 1.5821 1.5761 1.5704 1.5651 1.5600 1.5553 1.5507 1.5464
141 de 211
10/08/2017
Tablas Termodinámicas
Tabla A5E (Sistema Inglés)
1.5274 1.5115 1.4978 1.4856 1.4746 1.4645
142 de 211
10/08/2017
Tablas Termodinámicas
Tabla A5E (Sistema Inglés)
Entropía Btu/(lbm•R) Vapor sat. sg 1.4551 1.4464 1.4305 1.4160 1.4027 1.3903 1.3673 1.3461 1.3258 1.3060 1.2861 1.2327 1.1575 1.0580
143 de 211
10/08/2017
Tablas Termodinámicas
Tabla A6E (Sistema Inglés)
TABLA A6E Agua sobrecalentada T °F Sat. 200 240 280 320 360 400 440 500 600
v u h s pie / lbm Btu/lbm Btu/lbm Btu/(lbm•R) P = 1.0 psia (101.70 °F) * 333.6 1044.0 1105.8 1.9779 392.5 1077.5 1150.1 2.0508 416.4 1091.2 1168.3 2.0775 440.3 1105.0 1186.5 2.1028 464.2 1118.9 1204.8 2.1269 3
1132.9 1147.0 1161.2 1182.8 1219.3
97.45 102.24 107.03 114.20 126.15 138.08 150.01 173.86 197.70 221.54
Sat. 240 280 320 360
690.7 1256.7 1384.5 2.3142 750.3 1294.9 1433.7 2.3550 869.5 1373.9 1534.8 2.4294 988.6 1456.7 1639.6 2.4967 1107.7 1543.1 1748.1 2.5584 P = 14.696 psia (211.99 °F) 26.80 1077.6 1150.5 1.7567 28.00 1087.9 1164.0 1.7764 29.69 1102.4 1183.1 1.8030 31.36 1116.8 1202.1 1.8280 33.02 1131.2 1221.0 1.8516
400 440 500 600 700
34.67 36.31 38.77 42.86 46.93
1.8741 1.8956 1.9263 1.9737 2.0175
25.43 26.64 28.46 31.47 34.47
800 1000 1200 1400 1600
51.00 59.13 67.25 75.36 83.47
2.0584 2.1330 2.2003 2.2621 2.3194
37.46 43.44 49.41 55.37 61.33
Sat. 320 360 400 440
7.177 7.485 7.924 8.353 8.775
1.6444 1.6634 1.6893 1.7134 1.7360
5.474 5.544 5.886 6.217 6.541
500
9.399
1.7678
7.017
1145.6 1160.1 1181.8 1218.6 1256.1
1223.2 1241.8 1260.4 1288.5 1336.1
73.53 78.15 83.00 87.83 92.64
2.1500 2.1720 2.1932 2.2235 2.2706
700 800 1000 1200 1400
488.1 511.9 535.8 571.5 631.1
v pie / lbm 3
1239.9 1258.8 1287.3 1335.2 1383.8
1294.4 1433.1 1373.7 1534.5 1456.5 1639.3 1543.0 1747.9 1633.2 1860.2 P = 60 psia (292.73 °F) 1098.3 1178.0 1109.5 1192.6 1125.3 1213.3 1140.8 1233.5 1156.0 1253.4 1178.6
1283.0
144 de 211
20.09 20.47 21.73 22.98 24.21
u h s Btu/lbm Btu/lbm Btu/(lbm•R) P = 5.0 psia (162.21 °F) 1063.0 1131.0 1.8441 1076.3 1148.6 1.8715 1090.3 1167.1 1.8987 1104.3 1185.5 1.9244 1118.3 1204.0 1.9487 1132.4 1146.6 1160.9 1182.5 1219.1
1222.6 1241.2 1259.9 1288.2 1335.8
1256.5 1384.3 1294.7 1433.5 1373.9 1534.7 1456.6 1639.5 1543.1 1748.1 P = 20.0 psia (227.96 °F) 1082.0 1156.4 1086.5 1162.3 1101.4 1181.8 1116.0 1201.0 1130.6 1220.1 1145.1 1159.6 1181.5 1218.4 1255.9
1239.2 1258.2 1286.8 1334.8 1383.5
1294.3 1432.9 1373.5 1534.3 1456.4 1639.2 1542.9 1747.9 1633.2 1860.1 P = 80.0 psia (312.07 °F) 1102.6 1183.6 1106.0 1188.0 1122.5 1209.7 1138.5 1230.6 1154.2 1251.0 1177.2
1281.1
1.9719 1.9941 2.0154 2.0458 2.0930 2.1367 2.1775 2.2520 2.3192 2.3810 1.7320 1.7405 1.7676 1.7930 1.8168 1.8395 1.8611 1.8919 1.9395 1.9834 2.0243 2.0989 2.1663 2.2281 2.2854 1.6214 1.6271 1.6541 1.6790 1.7022 1.7346
10/08/2017
Tablas Termodinámicas
Tabla A6E (Sistema Inglés)
600 700 800 1000
10.425 11.440 12.448 14.454
1216.3 1254.4 1293.0 1372.7
1332.1 1381.4 1431.2 1533.2
1.8165 1.8609 1.9022 1.9773
7.794 8.561 9.321 10.831
1455.8 1638.5 2.0448 1542.5 1747.3 2.1067 1632.8 1859.7 2.1641 1726.7 1975.7 2.2179 1824.0 2095.1 2.2685 P = 120 psia (341.30 °F) 1108.3 1191.1 1.5886 1116.7 1202.0 1.6021 1133.8 1224.4 1.6288 1154.3 1251.2 1.6590 1174.2 1277.1 1.6868
12.333 13.830 15.324 16.818 18.310
1200 1400 1600 1800 2000
16.452 18.445 20.44 22.43 24.41
Sat. 360 400 450 500
3.730 3.844 4.079 4.360 4.633
550 600 700 800 1000
4.900 5.164 5.682 6.195 7.208
1193.8 1213.2 1252.0 1291.2 1371.5
1302.6 1327.8 1378.2 1428.7 1531.5
1.7127 1.7371 1.7825 1.8243 1.9000
4.184 4.412 4.860 5.301 6.173
1192.6 1212.1 1251.2 1290.5 1371.0
1300.9 1326.4 1377.1 1427.9 1531.0
1.6944 1.7191 1.7648 1.8068 1.8827
1200 1400 1600 1800 2000
8.213 9.214 10.212 11.209 12.205
1454.9 1541.8 1632.3 1726.2 1823.6
1637.3 1746.4 1859.0 1975.1 2094.6
1.9679 2.0300 2.0875 2.1413 2.1919
7.036 7.895 8.752 9.607 10.461
1454.6 1541.6 1632.1 1726.1 1823.5
1636.9 1746.1 1858.8 1975.0 2094.5
1.9507 2.0129 2.0704 2.1242 2.1749
3.221 3.259 3.466 3.713 3.952
145 de 211
1215.3 1253.6 1292.4 1372.3
1330.7 1380.3 1430.4 1532.6
1455.5 1638.1 1542.3 1747.0 1632.6 1859.5 1726.5 1975.5 1823.9 2094.9 P = 140.0 psia (353.08 °F) 1110.3 1193.8 1113.5 1198.0 1131.4 1221.2 1152.4 1248.6 1172.7 1275.1
1.7838 1.8285 1.8700 1.9453 2.0130 2.0749 2.1323 2.1861 2.2367 1.5761 1.5812 1.6088 1.6399 1.6682
10/08/2017
Tablas Termodinámicas
Tabla A6E (Sistema Inglés)
TABLA A6E (Continuación) Agua sobrecalentada T °F Sat. 400 450 500 550
v u h s pie / lbm Btu/lbm Btu/lbm Btu/(lbm•R) P = 180 psia (373.13 °F) 2.533 1113.4 1197.8 1.5553 2.648 1126.2 1214.4 1.5749 2.850 1148.5 1243.4 1.6078 3.042 1169.6 1270.9 1.6372 3.228 1190.0 1297.5 1.6642 3
600 700 800 900 1000
3.409 3.763 4.110 4.453 4.793
1200 1400 1600 1800 2000
5.467 6.137 6.804 7.470 8.135
Sat. 450 500 550 600
1.8448 2.002 2.150 2.290 2.426
650 700 800 900 1000
2.558 2.688 2.943 3.193 3.440
1200 1400 1600 1800 2000
3.929 4.414 4.896 5.376 5.856
Sat. 450 500 550 600
1.3267 1.3733 1.4913 1.5998 1.7025
650
1.8013
1210.0 1249.6 1289.3 1329.4 1370.2
2.289 2.361 2.548 2.724 2.893
1.6893 1.7357 1.7781 1.8175 1.8545
3.058 3.379 3.693 4.003 4.310
1454.0 1636.1 1.9227 1541.2 1745.6 1.9849 1631.7 1858.4 2.0425 1725.8 1974.6 2.0964 1823.2 2094.2 2.1470 P = 250 psia (401.04 °F) 1116.7 1202.1 1.5274 1141.1 1233.7 1.5632 1163.8 1263.3 1.5948 1185.3 1291.3 1.6233 1206.1 1318.3 1.6494
4.918 5.521 6.123 6.722 7.321
1226.5 1246.7 1287.0 1327.6 1368.7
1323.5 1374.9 1426.2 1477.7 1529.8
v pie / lbm 3
1.6739 1.6970 1.7401 1.7799 1.8172
2.317 2.436 2.670 2.898 3.124
1453.0 1634.8 1.8858 1540.4 1744.6 1.9483 1631.1 1857.6 2.0060 1725.2 1974.0 2.0599 1822.7 2093.6 2.1106 P = 350 psia (431.82 °F) 1119.0 1204.9 1.4978 1129.2 1218.2 1.5125 1154.9 1251.5 1.5482 1178.3 1281.9 1.5790 1200.3 1310.6 1.6068
3.570 4.011 4.450 4.887 5.323
1221.6
1344.9 1371.1 1423.2 1475.3 1527.9
1.6813 1.8026 1.9407 2.071 2.196
1338.3
1.6323
1.1620 1.1745 1.2843 1.3833 1.4760 1.5645
146 de 211
u h s Btu/lbm Btu/lbm Btu/(lbm•R) P = 200.0 psia (381.86 °F) 1114.6 1199.3 1.5464 1123.5 1210.8 1.5600 1146.4 1240.7 1.5938 1168.0 1268.8 1.6239 1188.7 1295.7 1.6512 1208.9 1248.8 1288.6 1328.9 1369.8
1322.1 1373.8 1425.3 1477.1 1529.3
1453.7 1635.7 1540.9 1745.3 1631.6 1858.2 1725.6 1974.4 1823.0 2094.0 P = 275.0 psia (409.52 °F) 1117.5 1203.1 1138.3 1230.0 1161.7 1260.4 1183.6 1289.0 1204.7 1316.4 1225.3 1245.7 1286.2 1327.0 1368.2
1343.2 1369.7 1422.1 1474.5 1527.2
1452.6 1634.3 1540.1 1744.2 1630.9 1857.3 1725.0 1973.7 1822.5 2093.4 P = 400 psia (444.70 °F) 1119.5 1205.5 1122.6 1209.6 1150.1 1245.2 1174.6 1277.0 1197.3 1306.6 1219.1
1334.9
1.6767 1.7234 1.7660 1.8055 1.8425 1.9109 1.9732 2.0308 2.0847 2.1354 1.5192 1.5495 1.5820 1.6110 1.6376 1.6623 1.6856 1.7289 1.7689 1.8064 1.8751 1.9376 1.9954 2.0493 2.1000 1.4856 1.4901 1.5282 1.5605 1.5892 1.6153
10/08/2017
Tablas Termodinámicas
Tabla A6E (Sistema Inglés)
700 800 900 1000
1.8975 2.085 2.267 2.446
1242.5 1283.8 1325.0 1366.6
1365.4 1418.8 1471.8 1525.0
1.6562 1.7004 1.7409 1.7787
1.6503 1.8163 1.9776 2.136
1451.5 1632.8 1.8478 1539.3 1743.1 1.9106 1530.2 1856.5 1.9685 1724.5 1973.1 2.0225 1822.0 2092.8 2.0733 P = 500 psia (467.13 °F) 1119.4 1205.3 1.4645 1139.7 1231.5 1.4923 1166.7 1266.6 1.5279 1191.1 1298.3 1.5585 1214.0 1328.0 1.5860
2.446 2.752 3.055 3.357 3.658
1200 1400 1600 1800 2000
2.799 3.148 3.494 3.838 4.182
Sat. 500 550 600 650
0.9283 0.9924 1.0792 1.1583 1.2327
700 800 900 1000 1100
1.3040 1.4407 1.5723 1.7008 1.8271
1236.0 1278.8 1321.0 1363.3 1406.0
1356.7 1412.1 1466.5 1520.7 1575.1
1.6112 1.6571 1.6987 1.7371 1.7731
1.0727 1.1900 1.3021 1.4108 1.5173
1231.5 1275.4 1318.4 1361.2 1404.2
1350.6 1407.6 1462.9 1517.8 1572.7
1.5872 1.6343 1.6766 1.7155 1.7519
1200 1400 1600 1800 2000
1.9518 2.198 2.442 2.684 2.926
1449.2 1537.6 1628.9 1723.3 1820.9
1629.8 1741.0 1854.8 1971.7 2091.6
1.8072 1.8704 1.9285 1.9827 2.0335
1.6222 1.8289 2.033 2.236 2.438
1447.7 1536.5 1628.0 1722.6 1820.2
1627.8 1739.5 1853.7 1970.8 2090.8
1.7861 1.8497 1.9080 1.9622 2.0131
0.7702 0.7947 0.8749 0.9456 1.0109
147 de 211
1240.4 1282.1 1323.7 1365.5
1362.5 1416.6 1470.1 1523.6
1450.7 1631.8 1538.7 1742.4 1629.8 1855.9 1724.1 1972.6 1821.6 2092.4 P = 600 psia (486.33 °F) 1118.6 1204.1 1128.0 1216.2 1158.2 1255.4 1184.5 1289.5 1208.6 1320.9
1.6397 1.6844 1.7252 1.7632 1.8327 1.8956 1.9535 2.0076 2.0584 1.4464 1.4592 1.4990 1.5320 1.5609
10/08/2017
Tablas Termodinámicas
Tabla A6E (Sistema Inglés)
TABLA A6E (Continuación) Agua sobrecalentada T °F Sat. 550 600 650 700
v u h s pie / lbm Btu/lbm Btu/lbm Btu/(lbm•R) P = 800 psia (518.36 °F) 0.5691 1115.0 1199.3 1.4160 0.6154 1138.8 1229.9 1.4469 0.6776 1170.1 1270.4 1.4861 0.7324 1197.2 1305.6 1.5186 0.7829 1222.1 1338.0 1.5471 3
750 800 900 1000 1100
0.8306 0.8764 0.9640 1.0482 1.1300
1200 1400 1600 1800 2000
1.2102 1.3674 1.5218 1.6749 1.8271
Sat. 600 650 700 750
0.2769 0.2816 0.3329 0.3716 0.4049
800 850 900 1000 1100
0.4350 0.4631 0.4897 0.5400 0.5876
1200 1400 1600 1800 2000
0.6334 0.7213 0.8064 0.8899 0.9725
1245.7 1268.5 1312.9 1356.7 1400.5
1368.6 1398.2 1455.6 1511.9 1567.8
v pie / lbm 3
0.4459 0.4534 0.5140 0.5637 0.6080
1.5730 1.5969 1.6408 1.6807 1.7178
0.6490 0.6878 0.7610 0.8305 0.8976
1444.6 1623.8 1.7526 1534.2 1736.6 1.8167 1626.2 1851.5 1.8754 1721.0 1969.0 1.9298 1818.8 2089.3 1.9808 P = 1500 psia (596.39 °F) 1091.8 1168.7 1.3359 1096.6 1174.8 1.3416 1147.0 1239.4 1.4012 1183.4 1286.6 1.4429 1214.1 1326.5 1.4767
0.9630 1.0905 1.2152 1.3384 1.4608 0.2268
u h s Btu/lbm Btu/lbm Btu/(lbm•R) P =1000 psia (544.75 °F) 1109.9 1192.4 1.3903 1114.8 1198.7 1.3966 1553.7 1248.8 1.4450 1184.7 1289.1 1.4822 1212.0 1324.6 1.5135 1237.2 1261.2 1307.3 1352.2 1396.8
1357.3 1388.5 1448.1 1505.9 1562.9
1441.5 1619.7 1531.9 1733.7 1624.4 1849.3 1719.5 1967.2 1817.4 2087.7 P =1750 psia (617.31 °F) 1080.2 1153.7
1.5412 1.5664 1.6120 1.6530 1.6908 1.7261 1.7909 1.8499 1.9046 1.9557 1.3109
0.2627 0.3022 0.3341
1122.5 1166.7 1201.3
1207.6 1264.6 1309.5
1.3603 1.4106 1.4485
1.5058 1.5320 1.5562 1.6001 1.6399
0.3622 0.3878 0.4119 0.4569 0.4990
1231.3 1258.8 1284.8 1334.3 1382.2
1348.6 1384.4 1418.2 1482.3 1543.8
1.4802 1.5081 1.5334 1.5789 1.6197
1433.5 1609.3 1.6765 1526.1 1726.3 1.7431 1619.9 1843.7 1.8031 1715.7 1962.7 1.8582 1814.0 2083.9 1.9096 P = 2500 psia (668.31 °F) Sat. 0.13059 1031.0 1091.4 1.2327 650 700 0.16839 1098.7 1176.6 1.3073 750 0.2030 1155.2 1249.1 1.3686 800 0.2291 1195.7 1301.7 1.4112
0.5392 0.6158 0.6896 0.7617 0.8330
850
0.2513
1241.8 1267.7 1292.5 1340.4 1387.2
1229.5
1362.5 1396.2 1428.5 1490.3 1550.3
1345.8
1.4456
0.08404
1429.4 1604.0 1523.1 1722.6 1617.6 1841.0 1713.9 1960.5 1812.3 2082.0 P =3000 psia (695.52 °F) 968.8 1015.5
1.6571 1.7245 1.7850 1.8404 1.8919 1.1575
0.09771 0.14831 0.17572
1003.9 1114.7 1167.6
1058.1 1197.1 1265.2
1.1944 1.3122 1.3675
0.19731
1207.7
1317.2
1.4080
148 de 211
10/08/2017
Tablas Termodinámicas
Tabla A6E (Sistema Inglés)
900 950 1000 1100
0.2712 0.2896 0.3069 0.3393
1259.5 1288.2 1315.2 1366.8
1385.4 1422.2 1457.2 1523.8
1.4752 1.5018 1.5262 1.5704
0.2160 0.2328 0.2485 0.2772
1200 1400 1600 1800 2000
0.3696 0.4261 0.4795 0.5312 0.5820
1.6101 1.6804 1.7424 1.7986 1.8506
0.3036 0.3524 0.3978 0.4416 0.4844
650 700 750 800 850
0.02447 0.02867 0.06331 0.10522 0.12833
1416.7 1587.7 1514.2 1711.3 1610.2 1832.6 1708.2 1954.0 1807.2 2076.4 P = 4000 psia 657.7 675.8 742.1 763.4 960.7 1007.5 1095.0 1172.9 1156.5 1251.5
0.8574 0.9345 1.1395 1.2740 1.3352
0.02377 0.02676 0.03364 0.05932 0.08556
900 950 1000 1100 1200
0.14622 0.16151 0.17520 0.19954 0.2213
1201.5 1239.2 1272.9 1333.9 1390.1
1309.7 1358.8 1402.6 1481.6 1553.9
1.3789 1.4144 1.4449 1.4973 1.5423
0.10385 0.11853 0.13120 0.15302 0.17199
1155.1 1202.2 1242.0 1310.6 1371.6
1251.1 1311.9 1363.4 1452.2 1530.8
1.3190 1.3629 1.3988 1.4577 1.5066
1300 1400 1600 1800 2000
0.2414 0.2603 0.2959 0.3296 0.3625
1443.7 1495.7 1597.1 1697.1 1797.3
1622.4 1688.4 1816.1 1941.1 2065.6
1.5823 1.6188 1.6841 1.7420 1.7948
0.18918 0.20517 0.2348 0.2626 0.2895
1428.6 1783.2 1587.9 1689.8 1790.8
1603.7 1673.0 1805.2 1932.7 2058.6
1.5493 1.5876 1.6551 1.7142 1.7676
149 de 211
1241.8 1272.7 1301.7 1356.2
1361.7 1402.0 1439.6 1510.1
1408.0 1576.6 1508.1 1703.7 1606.3 1827.1 1704.5 1949.6 1803.9 2072.8 P =5000 psia (695.52 °F) 648.0 670.0 721.8 746.6 821.4 852.6 987.2 1042.1 1092.7 1171.9
1.4414 1.4705 1.4967 1.5434 1.5848 1.6571 1.7201 1.7769 1.8291 0.8482 0.9156 1.0049 1.1583 1.2596
10/08/2017
Tablas Termodinámicas
Tabla A6E (Sistema Inglés)
v pie / lbm 3
38.42 38.85 41.32 43.77 46.20
u h s Btu/lbm Btu/lbm Btu/(lbm•R) P = 10.0 psia (193.19 °F) 1072.2 1143.3 1.7877 1074.7 1146.6 1.7927 1089.0 1165.5 1.8205 1103.3 1184.3 1.8467 1117.6 1203.1 1.8714
48.62 51.03 53.44 57.04 63.03
1131.8 1146.1 1160.5 1182.2 1218.9
69.01 74.98 86.91 98.84 110.76
2.0601 2.1009 2.1755 2.2428 2.3045
10.501
1256.3 1384.0 1294.6 1433.3 1373.8 1534.6 1456.5 1639.4 1543.0 1748.0 P = 40 psia (267.26 °F) 1092.3 1170.0
10.711 11.360 11.996
1097.3 1112.8 1128.0
1176.6 1196.9 1216.8
1.6857 1.7124 1.7373
12.623 13.243 14.164 15.685 17.196
1143.0 1157.8 1180.1 1217.3 1255.1
1236.4 1255.8 1284.9 1333.4 1382.4
1.7606 1.7828 1.8140 1.8621 1.9063
18.701 21.70 24.69 27.68 30.66 4.434
1221.8 1240.5 1259.3 1287.7 1335.5
1293.7 1432.1 1373.1 1533.8 1456.1 1638.9 1542.7 1747.6 1633.0 1859.9 P = 100 psia (327.86 °F) 1105.8 1187.8
1.8948 1.9171 1.9385 1.9690 2.0164
1.6767
1.9474 2.0223 2.0897 2.1515 2.2089 1.6034
4.662 4.934 5.199
1119.7 1136.2 1152.3
1205.9 1227.5 1248.5
1.6259 1.6517 1.6755
5.587
1175.7
1279.1
1.7085
150 de 211
10/08/2017
Tablas Termodinámicas
Tabla A6E (Sistema Inglés)
6.216 6.834 7.445 8.657 9.861 11.060 12.257 13.452 14.647 2.836
1214.2 1252.8 1291.8 1371.9
1329.3 1379.2 1429.6 1532.1
1455.2 1637.7 1542.0 1746.7 1632.4 1859.3 1726.4 1975.3 1823.7 2094.8 P = 165 psia (363.60 °F) 1112.0 1196.0
1.7582 1.8033 1.8449 1.9204 1.9882 2.0502 2.1076 2.1614 2.2121 1.5651
3.007 3.228 3.440
1128.8 1150.5 1171.2
1217.8 1246.1 1273.0
1.5911 1.6230 1.6518
3.646 3.848 4.243 4.631 5.397
1191.3 1211.1 1250.4 1289.9 1370.6
1299.2 1325.0 1376.0 1427.0 1530.4
1.6784 1.7034 1.7494 1.7916 1.8677
6.154 6.906 7.656 8.405 9.153
1454.3 1541.4 1631.9 1725.9 1823.3
1636.5 1745.9 1858.6 1974.8 2094.3
1.9358 1.9980 2.0556 2.1094 2.1601
151 de 211
10/08/2017
Tablas Termodinámicas
Tabla A6E (Sistema Inglés)
v pie / lbm 3
2.043 2.073 2.245 2.405 2.588 2.707 2.995 3.276 3.553 3.827 4.369 4.906 5.441 5.975 6.507 1.5442 1.6361 1.7662 1.8878 2.004 2.117 2.227 2.442 2.653 2.860 3.270 3.675 4.078 4.479 4.879 1.0326
u h s Btu/lbm Btu/lbm Btu/(lbm•R) P = 225 psia (391.87 °F) 1115.8 1200.8 1.5365 1119.9 1206.2 1.5427 1143.8 1237.3 1.5779 1165.9 1266.1 1.6087 1187.0 1293.5 1.6366 1207.5 1247.7 1287.8 1328.3 1369.3
1320.2 1372.4 1424.2 1476.2 1528.6
1453.4 1635.3 1540.7 1744.9 1631.3 1857.9 1725.4 1974.2 1822.9 2093.8 P = 300 psia (417.43 °F) 1118.2 1203.9 1135.4 1226.2 1159.5 1257.5 1181.9 1286.7 1203.2 1314.5 1224.1 1244.6 1285.4 1326.3 1367.7
1341.6 1368.3 1421.0 1473.6 1526.5
1452.2 1633.8 1539.8 1743.8 1630.7 1857.0 1724.9 1973.5 1822.3 2093.2 P = 450 psia (456.39 °F) 1119.6 1205.6
1.6624 1.7095 1.7523 1.7920 1.8292 1.8977 1.9600 2.0177 2.0716 2.1223 1.5115 1.5365 1.5701 1.5997 1.6266 1.6516 1.6751 1.7187 1.7589 1.7964 1.8653 1.9279 1.9857 2.0396 2.0904 1.4746
1.1226 1.2146 1.2996
1145.1 1170.7 1194.3
1238.5 1271.9 1302.5
1.5097 1.5436 1.5732
1.3803
1216.6
1331.5
1.6000
152 de 211
10/08/2017
Tablas Termodinámicas
Tabla A6E (Sistema Inglés)
1.4580 1.6077 1.7524 1.8941 2.172 2.444 2.715 2.983 3.251 0.6558
1238.2 1280.5 1322.4 1364.4
1359.6 1414.4 1468.3 1522.2
1450.0 1630.8 1538.1 1741.7 1629.3 1855.4 1723.7 1972.1 1821.3 2092.0 P = 700 psia (503.23 °F) 1117.0 1202.0
1.6248 1.6701 1.7113 1.7495 1.8192 1.8823 1.9403 1.9944 2.0453 1.4305
0.7275 0.7929 0.8520
1149.0 1177.5 1203.1
1243.2 1280.2 1313.4
1.4723 1.5081 1.5387
0.9073 1.0109 1.1089 1.2036 1.2960
1226.9 1272.0 1315.6 1358.9 1402.4
1344.4 1402.9 1459.3 1514.9 1570.2
1.5661 1.6145 1.6576 1.6970 1.7337
1.3868 1.5652 1.7409 1.9152 2.0887
1446.2 1535.3 1627.1 1721.8 1819.5
1625.8 1738.1 1852.6 1969.9 2090.1
1.7682 1.8321 1.8906 1.9449 1.9958
153 de 211
10/08/2017
Tablas Termodinámicas
Tabla A6E (Sistema Inglés)
v pie / lbm 3
0.3454
u h s Btu/lbm Btu/lbm Btu/(lbm•R) P = 1250 psia (572.56 °F) 1101.7 1181.6 1.3619
0.3786 0.4267 0.4670
1129.0 1167.2 1198.4
1216.6 1266.0 1306.4
1.3954 1.4410 1.4767
0.5030 0.5364 0.5984 0.6563 0.7116
1226.1 1251.8 1300.0 1346.4 1392.0
1342.4 1375.8 1438.4 1498.2 1556.6
1.5070 1.5341 1.5820 1.6244 1.6631
0.7652 0.8689 0.9699 1.0693 1.1678 0.18813
1437.5 1614.5 1529.0 1730.0 1622.2 1846.5 1717.6 1965.0 1815.7 2085.8 P = 2000 psia (636.00 °F) 1066.6 1136.3
1.6991 1.7648 1.8243 1.8791 1.9304 1.2861
0.2057 0.2487 0.2803
1091.1 1147.7 1187.3
1167.2 1239.8 1291.1
1.3141 1.3782 1.4216
0.3071 0.3312 0.3534 0.3945 0.4325
1220.1 1249.5 1276.8 1328.1 1377.2
1333.8 1372.0 1407.6 1474.1 1537.2
1.4562 1.4860 1.5126 1.5598 1.6017
0.4685 0.5368 0.6020 0.6656 0.7284
1425.2 1598.6 1520.2 1718.8 1615.4 1838.2 1712.0 1958.3 1810.6 2080.2 P = 3500 psia
1.6398 1.7082 1.7692 1.8249 1.8765
0.02491 0.03058 0.10460 0.13626
663.5 759.5 1058.4 1134.7
679.7 779.3 1126.1 1223.0
0.8630 0.9506 1.2440 1.3226
0.15818
1183.4
1285.9
1.3716
154 de 211
10/08/2017
Tablas Termodinámicas
Tabla A6E (Sistema Inglés)
0.17625 0.19214 0.2066 0.2328
1222.4 1256.4 1287.6 1345.2
1336.5 1380.8 1421.4 1496.0
1.4096 1.4416 1.4699 1.5193
0.2566 0.2997 0.3395 0.3776 0.4147
1.5624 1.6368 1.7010 1.7583 1.8108
0.01222 0.02563 0.02978 0.03942 0.05818
1399.2 1565.3 1501.9 1696.1 1601.7 1821.6 1700.8 1945.4 1800.6 2069.2 P = 6000 psia 640.0 665.8 708.1 736.5 788.6 821.7 896.9 940.7 1018.8 1083.4
0.07588 0.09008 0.10207 0.12218 0.13927
1102.9 1162.0 1209.1 1286.4 1352.7
1187.2 1262.0 1322.4 1422.1 1507.3
1.2599 1.3140 1.3561 1.4222 1.4752
0.15453 0.16854 0.19420 0.21801 0.24087
1413.3 1470.5 1578.7 1682.4 1784.3
1584.9 1657.6 1794.3 1924.5 2051.7
1.5206 1.5608 1.6307 1.6910 1.7450
155 de 211
0.8405 0.9028 0.9746 1.0708 1.1820
10/08/2017
Tablas Termodinámicas
Tabla A7E (Sistema Inglés)
TABLA A7E Agua líquida comprimida T °F Sat. 32 50 100 150 200 250 300 350 400 450 500 550 Sat. 32 50 100 200 300 400 450 500 560 600 640 680 700
v u h s pie / lbm Btu/lbm Btu/lbm Btu/(lbm•R) P = 500 psia (467.13 °F) 0.019748 447.70 449.53 0.64904 0.015994 0.00 1.49 0.00000 0.015998 18.02 19.50 0.03599 0.016106 67.87 69.36 0.12932 0.016318 117.66 119.17 0.21457 0.016608 167.65 169.19 0.29341 0.016972 217.99 219.56 0.36702 0.017416 268.92 270.53 0.43641 0.017954 320.71 322.37 0.50249 0.018608 373.68 375.40 0.56604 0.019420 428.40 430.19 0.62798 3
P = 2000 psia (636.00 °F) 0.025649 662.40 671.89 0.015912 0.06 5.95 0.015920 17.91 23.81 0.016034 67.37 73.30 0.016527 166.49 172.60 0.017308 266.93 273.33 0.018439 370.38 377.21 0.019191 424.04 431.14 0.02014 479.8 487.3 0.02172 551.8 559.8 0.02330 605.4 614.0
0.86227 0.00008 0.03575 0.12839 0.29162 0.43376 0.56216 0.62313 0.6832 0.7565 0.8086
156 de 211
v u h s m3/kg kJ/Kg kJ/kg kJ (kg • K) P = 1000 psia (544.75 °F) 0.021591 538.4 542.38 0.74320 0.015967 0.03 2.99 0.00005 0.015972 17.99 20.94 0.03592 0.016082 67.70 70.68 0.12901 0.016293 117.38 120.40 0.21410 0.016580 167.26 170.32 0.29281 0.016941 217.47 220.61 0.36628 0.017379 268.24 271.46 0.43552 0.017909 319.83 323.15 0.50140 0.018550 372.55 375.98 0.56472 0.019340 426.89 430.47 0.62632 0.02036 483.8 487.5 0.6874 P = 3000 psia (695.52 °F) 0.034310 783.45 802.5 0.015859 0.09 8.90 0.015870 17.84 26.65 0.015987 67.04 75.91 0.016476 165.74 174.89 0.017240 265.66 275.23 0.018334 368.32 378.50 0.019053 421.36 431.93 0.019944 476.2 487.3 0.021382 546.2 558.0 0.02274 597.0 609.6 0.02475 654.3 668.0 0.02879 728.4 744.3
0.97320 0.00009 0.03555 0.12777 0.29046 0.43205 0.55970 0.62011 0.6794 0.7508 0.8004 0.8545 0.9226
10/08/2017
Tablas Termodinámicas
Tabla A7E (Sistema Inglés)
v m3/kg
u h s kJ/kg kJ/kg kJ (kg • K) P = 1500 psia (596.39 °F) 0.023461 604.97 611.48 0.80824 0.015939 0.05 4.47 0.00007 0.015946 17.95 22.38 0.03584 0.016058 67.53 71.99 0.12870 0.016268 117.10 121.62 0.21364 0.016554 166.87 171.46 0.29221 0.016910 216.96 221.65 0.36554 0.017343 267.58 272.39 0.43463 0.017865 318.98 323.94 0.50034 0.018493 371.45 376.59 0.56343 0.019264 425.44 430.79 0.62470 0.02024 481.8 487.4 0.6853 0.02158 542.1 548.1 0.7469 P = 5000 psia 0.015755 0.015773 0.015897 0.016376 0.017110 0.018141 0.018803 0.019603 0.020835 0.02191 0.02334 0.02535 0.02676
0.11 17.67 66.40 164.32 263.25 364.47 416.44 469.80 536.70 584.00 634.6 690.6 721.8
14.70 32.26 81.11 179.47 279.08 381.25 433.84 487.9 556.0 604.2 656.2 714.1 746.6
157 de 211
-0.00001 0.03508 0.12651 0.28818 0.42875 0.55506 0.61451 0.6724 0.7411 0.7876 0.8357 0.8873 0.9156
10/08/2017
Tablas Termodinámicas
Tabla A8E (Sistema Inglés)
TABLA A8E Hielo saturado - vapor de agua
pie /lbm Hielo Vapor sat. sat. vf vg x 10-3
Energía interna Btu/lbm Hielo Vapor sat. subl. sat. uf ufg ug
Hielo sat. hf
subl. hfg
Vapor sat. hg
0.01747 0.01747 0.01747 0.01746 0.01745 0.01745 0.01744 0.01743 0.01743 0.01742 0.01741 0.01740 0.01740 0.01739 0.01738 0.01737 0.01737
-143.34 -143.35 -144.35 -146.84 -149.31 -151.75 -154.17 -156.56 -158.93 -161.27 -163.59 -165.89 -168.16 -170.40 -172.63 -174.82 -177.00
-143.34 -143.35 -144.35 -146.84 -149.31 -151.75 -154.17 -156.56 -158.93 -161.27 -163.59 -165.89 -168.16 -170.40 -172.63 -174.82 -177.00
1218.7 1218.7 1218.9 1219.1 1219.4 1219.7 1219.9 1220.1 1220.2 1220.3 1220.4 1220.5 1220.6 1220.6 1220.6 1220.6 1220.6
1075.4 1075.4 1075.4 1072.3 1070.1 1067.9 1065.7 1063.5 1061.2 1059.0 1056.8 1054.6 1052.4 1050.2 1048.0 1045.8 1043.6
Volumen especifico
Temp. T °C 32.018 32 30 25 20 15 10 5 0 -5 -10 -15 -20 -25 -30 -35 -40
Press. sat. Psat 0.0887 0.0886 0.0808 0.0641 0.0505 0.0396 0.0309 0.0240 0.0185 0.0142 0.0109 0.0082 0.0062 0.0046 0.0035 0.0026 0.0019
3
3.302 3.305 3.607 4.506 5.655 7.13 9.04 11.52 14.77 19.03 24.66 32.2 42.2 55.7 74.1 99.2 133.8
1164.6 1164.6 1164.9 1165.7 1166.5 1167.3 1168.1 1168.8 1169.5 1170.2 1170.9 1171.5 1172.1 1172.7 1173.2 1173.8 1174.3
158 de 211
1021.2 1021.2 1020.5 1018.9 1017.2 1015.5 1013.9 1012.2 1010.6 1008.9 1007.3 1005.6 1003.9 1002.3 1000.6 988.9 997.3
Entalpía Btu/lbm
Entropía Btu/(lbm • R) Hielo sat. sf -0.292 -0.292 -0.294 -0.299 -0.304 -0.309 -0.314 -0.320 -0.325 -0.330 -0.335 -0.340 -0.345 -0.351 -0.356 -0.361 -0.366
10/08/2017
Tablas Termodinámicas
Tabla A8E (Sistema Inglés)
Entropía Btu/(lbm • R) Vapor subl. sat. sfg sg 2.479 2.479 2.489 2.515 2.542 2.569 2.597 2.626 2.655 2.684 2.714 2.745 2.776 2.808 2.841 2.874 2.908
2.187 2.187 2.195 2.216 2.238 2.260 2.283 2.306 2.330 2.354 2.379 2.405 2.431 2.457 2.485 2.513 2.542
159 de 211
10/08/2017
Tablas Termodinámicas
Tabla A9E (Sistema Inglés)
Figura A9E Diagrama T-s para el agua [Fuente: Joseph H. Keenan, Frederick G. keyes, Philip G. Hill y Joan G. Moore, Steam Tables (Nueva York: John Wiley & Sons, 1969).]
160 de 211
10/08/2017
Tablas Termodinámicas
Tabla A10E (Sistema Inglés)
Figura A10E Diagrama de Mollier para el agua [Fuente: Diagram Joseph H. Keenan, Frederick G. Keyes, Philip G. Hill y Joan G. More, Steam Tables (Nueva York, JohnWiley & Sons, 1969]
161 de 211
10/08/2017
Tablas Termodinámicas
Tabla A11E (Sistema Inglés)
TABLA A11E Refrigerante 134a saturado - Tabla de temperatura Volumen específico,
ft /lbm Líq. Vap. sat., sat., vf vg 3
Temp., Pres., Psat T °F psia -40 7.490 -30 9.920 -20 12.949 -15 14.718 -10 16.674
Energía interna, Btu/lbm Líq. Vap. sat, sat, uf ug
Entalpía, Btu/lbm Líq. sat, hf
Evap., hfg
Vap. sat., hg
Entropía, Btu/lbm • R Líq. sat., sf
0.01130 0.01143 0.01156 0.01163 0.01170
5.7173 4.3911 3.4173 3.0286 2.6918
-0.02 2.81 5.69 7.14 8.61
87.90 89.26 90.62 91.30 91.98
0.00 2.83 5.71 7.17 8.65
95.82 94.49 93.10 92.38 91.64
95.82 97.32 98.81 99.55 100.29
0.0000 0.0067 0.0133 0.0166 0.0199
-5 0 5 10 15
18.831 21.203 23.805 26.651 29.756
0.01178 0.01185 0.01193 0.01200 0.01208
2.3992 2.1440 1.9208 1.7251 1.5529
10.09 11.58 13.09 14.60 16.13
92.66 93.33 94.01 94.68 95.35
10.13 11.63 13.14 14.66 16.20
90.89 90.12 89.33 88.53 87.71
101.02 101.75 102.47 103.19 103.90
0.0231 0.0264 0.0296 0.0329 0.0361
20 25 30 40 50
33.137 36.809 40.788 49.738 60.125
0.01216 0.01225 0.01233 0.01251 0.01270
1.4009 1.2666 1.1474 0.9470 0.7871
17.67 19.22 20.78 23.94 27.14
96.02 96.69 97.35 98.67 99.98
17.74 19.30 20.87 24.05 27.28
86.87 86.02 85.14 83.34 81.46
104.61 105.32 106.01 107.39 108.74
0.0393 0.0426 0.0458 0.0522 0.0585
60 70 80 85 90
72.092 85.788 101.37 109.92 118.99
0.01290 0.01311 0.01334 0.01346 0.01358
0.6584 0.5538 0.4682 0.4312 0.3975
30.39 33.68 37.02 38.72 40.42
101.27 102.54 103.78 104.39 105.00
30.56 33.89 37.27 38.99 40.72
79.49 77.44 75.29 74.17 73.03
110.05 111.33 112.56 113.16 113.75
0.0648 0.0711 0.0774 0.0805 0.0836
95 100 105 110 115
128.62 138.83 149.63 161.04 173.10
0.01371 0.01385 0.01399 0.01414 0.01429
0.3668 0.3388 0.3131 0.2896 0.2680
42.14 43.87 45.62 47.39 49.17
105.60 106.18 106.76 107.33 107.88
42.47 44.23 46.01 47.81 49.63
71.86 70.66 69.42 68.15 66.84
114.33 114.89 115.43 115.96 116.47
0.0867 0.0898 0.0930 0.0961 0.0992
120 140 160 180 200 210
185.82 243.86 314.63 400.22 503.52 563.51
0.01445 0.01520 0.61617 0.01758 0.02014 0.02329
0.2481 0.1827 0.1341 0.0964 0.0647 0.0476
50.97 58.39 66.26 74.83 84.90 91.84
108.42 110.41 111.97 112.77 111.66 108.48
51.47 59.08 67.20 76.13 86.77 94.27
65.48 59.57 52.58 43.78 30.92 19.18
116.95 118.65 119.78 119.91 117.69 113.45
0.1023 0.1150 0.1280 0.1417 0.1575 0.1684
162 de 211
10/08/2017
Tablas Termodinámicas
Tabla A11E (Sistema Inglés)
Fuente: Las tablas A.11E a A.13E: M. J. Moran y H. N. Shapiro, Fundamentals of Engineering Thermodynamics, 2a. ed. (Nueva York: John Wiley & Sons, 1992), pp. 754-758. Basadas originalmente en las ecuaciones de D. P. Wilson y R. S. Basu, "Thermodynamics Properties of a New Stratospherically Safe Working Fluid-Refrigerant 134a", ASHRAE Trans. 94, Pt. 2 (1988), pp. 2095-2118. Empleadas con permiso de los autores.
163 de 211
10/08/2017
Tablas Termodinámicas
Tabla A11E (Sistema Inglés)
eratura Entropía, Btu/lbm • R Vap. sat., sg 0.2283 0.2266 0.2250 0.2243 0.2236 0.2230 0.2224 0.2219 0.2214 0.2209 0.2205 0.2200 0.2196 0.2189 0.2183 0.2178 0.2173 0.2169 0.2167 0.2165 0.2163 0.2161 0.2159 0.2157 0.2155 0.2153 0.2143 0.2128 0.2101 0.2044 0.1971
164 de 211
10/08/2017
Tablas Termodinámicas
Tabla A11E (Sistema Inglés)
Moran y H. N. Shapiro, Fundamentals of Engineering Thermodynamics, , 1992), pp. 754-758. Basadas originalmente en las ecuaciones de D. P. Properties of a New Stratospherically Safe Working Fluid-Refrigerant pp. 2095-2118. Empleadas con permiso de los autores.
165 de 211
10/08/2017
Tablas Termodinámicas
Tabla A12E (Sistema Inglés)
TABLA A12E Refrigerante 134a saturado - Tabla de presiones Volumen específico, Energía interna, ft /lbm 3
Pres., psia P
Temp., °F Tsat
Líq. sat., vf
Vap. sat., vg
Btu/lbm Líq. Vap. sat., sat., uf ug
Entalpía, Btu/lbm Líq. sat., hf
Evap., hfg
Vap. sat., hg
Entrapía, Btu/lbm• R Líq. Vap. sat., sat., sf sg
5 10 15 20 30
-53.48 -29.71 -14.25 -2.48 15.38
0.01113 0.01143 0.01164 0.01181 0.01209
8.3508 4.3581 2.9747 2.2661 1.5408
-3.74 2.89 7.36 10.84 16.24
86.07 89.30 91.40 93.00 95.40
-3.73 2.91 7.40 10.89 16.31
97.53 94.45 92.27 90.50 87.65
93.79 97.37 99.66 101.39 103.96
-0.0090 0.0068 0.0171 0.0248 0.0364
0.2311 0.2265 0.2242 0.2227 0.2209
40 50 60 70 80
29.04 40.27 49.89 58.35 65.93
0.01232 0.01252 0.01270 0.01286 0.01302
1.1692 0.9422 0.7887 0.6778 0.5938
20.48 24.02 27.10 29.85 32.33
97.23 98.71 99.96 101.05 102.02
20.57 24.14 27.24 30.01 32.53
85.31 83.29 81.48 79.82 78.28
105.88 107.43 108.72 109.83 110.81
0.0452 0.0523 0.0584 0.0638 0.0686
0.2197 0.2189 0.2183 0.2179 0.2175
90 100 120 140 160
72.83 79.17 90.54 100.56 109.56
0.01317 0.01332 0.01360 0.01386 0.01412
0.5278 0.4747 0.3941 0.3358 0.2916
34.62 36.75 40.61 44.07 47.23
102.89 103.68 105.06 106.25 107.28
34.84 36.99 40.91 44.43 47.65
76.84 75.47 72.91 70.52 68.26
111.68 112.46 113.82 114.95 115.91
0.0729 0.0768 0.0839 0.0902 0.0958
0.2172 0.2169 0.2165 0.2161 0.2157
180 200 220 240 260
117.74 125.28 132.27 138.79 144.92
0.01438 0.01463 0.01489 0.01515 0.01541
0.2569 0.2288 0.2056 0.1861 0.1695
50.16 52.90 55.48 57.93 60.28
108.18 108.98 109.68 110.30 110.84
50.64 53.44 56.09 58.61 61.02
66.10 64.01 61.96 59.96 57.97
116.74 117.44 118.05 118.56 118.99
0.1009 0.1057 0.1101 0.1142 0.1181
0.2154 0.2151 0.2147 0.2144 0.2140
280 300 350
150.70 156.17 168.72
0.01568 0.01596 0.01671
0.1550 0.1424 0.1166
62.53 64.71 69.88
111.31 111.72 112.45
63.34 65.59 70.97
56.00 54.03 49.03
119.35 119.62 120.00
0.1219 0.1254 0.1338
0.2136 0.2132 0.2118
400 450 500
179.95 190.12 199.38
0.01758 0.01863 0.02002
0.0965 0.0800 0.0657
74.81 79.63 84.54
112.77 112.60 111.76
76.11 81.18 86.39
43.80 38.08 31.44
119.91 119.26 117.83
0.1417 0.1493 0.1570
0.2102 0.2079 0.2047
166 de 211
10/08/2017
Tablas Termodinámicas
Tabla A13E (Sistema Inglés)
TABLA A13E Refrigerante 134a sobrecalentado T °F
v ft /lbm 3
u h s Btu/lbm Btu/lbm Btu/lbm•R P= 10 psia (Tsat=-29.7PF)
v ft /lbm 3
u h s Btu/lbm Btu/lbm Btu/lbm•R P = 15 psia (Tsat = -14.25°F)
sat. -20 0 20 40
4.3581 4.4718 4.7026 4.9297 5.1539
89.30 90.89 94.24 97.67 101.19
97.37 99.17 102.94 106.79 110.72
0.2265 0.2307 0.2391 0.2472 0.2553
2.9747
91.40
99.66
0.2242
3.0893 3.2468 3.4012
93.84 97.33 100.89
102.42 106.34 110.33
0.2303 0.2386 0.2468
60 80 100 120 140
5.3758 5.5959 5.8145 6.0318 6.2482
104.80 108.50 112.29 116.18 120.16
114.74 118.85 123.05 127.34 131.72
0.2632 0.2709 0.2786 0.2861 0.2935
3.5533 3.7034 3.8520 3.9993 4.1456
104.54 108.28 112.10 116.01 120.00
114.40 118.56 122.79 127.11 131.51
0.2548 0.2626 0.2703 0.2779 0.2854
160 180 200 220
6.4638 6.6786 6.8929
124.23 128.38 132.63
136.19 140.74 145.39
0.3009 0.3081 0.3152
4.2911 4.4359 4.5801
124.09 128.26 132.52
136.00 140.57 145.23
0.2927 0.3000 0.3072
P= 30 psia (Tsat= 15.38°F)
P= 40 psia (Tsat = 29.04°F)
sat. 20 40 60 80
1.5408 1.5611 1.6465 1.7293 1.8098
95.40 96.26 99.98 103.75 107.59
103.96 104.92 109.12 113.35 117.63
0.2209 0.2229 0.2315 0.2398 0.2478
1.1692
97.23
105.88
0.2197
1.2065 1.2723 1.3357
99.33 103.20 107.11
108.26 112.62 117.00
0.2245 0.2331 0.2414
100 120 140 160 180
1.8887 1.9662 2.0426 2.1181 2.1929
111.49 115.47 119.53 123.66 127.88
121.98 126.39 130.87 135.42 140.05
0.2558 0.2635 0.2711 0.2786 0.2859
1.3973 1.4575 1.5165 1.5746 1.6319
111.08 115.11 119.21 123.38 127.62
121.42 125.90 130.43 135.03 139.70
0.2494 0.2573 0.2650 0.2725 0.2799
200 220 240 260 280
2.2671 2.3407
132.17 136.55
144.76 149.54
0.2932 0.3003
1.6887 131.94 144.44 1.7449 136.34 149.25 1.8006 140.81 154.14 1.8561 145.36 159.10 1.9112 149.98 164.13 P= 70 psia (Tsat= 58.35°F)
0.2872 0.2944 0.3015 0.3085 0.3154
P = 60 psia (Tsat = 49.89°F) sat. 60 80 100 120
0.7887 0.8135 0.8604 0.9051 0.9482
99.96 102.03 106.11 110.21 114.35
108.72 111.06 115.66 120.26 124.88
0.2183 0.2229 0.2316 0.2399 0.2480
0.6778 0.6814 0.7239 0.7640 0.8023
101.05 101.40 105.58 109.76 113.96
109.83 110.23 114.96 119.66 124.36
0.2179 0.2186 0.2276 0.2361 0.2444
140 160
0.9900 1.0308
118.54 122.79
129.53 134.23
0.2559 0.2636
0.8393 0.8752
118.20 122.49
129.07 133.82
0.2524 0.2601
167 de 211
10/08/2017
Tablas Termodinámicas
Tabla A13E (Sistema Inglés)
180 200 220
1.0707 1.1100 1.1488
127.10 131.47 135.91
138.98 143.79 148.66
0.2712 0.2786 0.2859
0.9103 0.9446 0.9784
126.83 131.23 135.69
138.62 143.46 148.36
0.2678 0.2752 0.2825
240 260 280 300 320
1.1871 1.2251 1.2627 1.3001
140.42 145.00 149.65 154.38
153.60 158.60 163.67 168.81
0.2930 0.3001 0.3070 0.3139
1.0118 1.0448 1.0774 1.1098
140.22 144.82 149.48 154.22
153.33 158.35 163.44 168.60
0.2897 0.2968 0.3038 0.3107
168 de 211
10/08/2017
Tablas Termodinámicas
Tabla A13E (Sistema Inglés)
TABLA A13E Continuación Refrigerante 134a sobrecalentado T °F
v ft /lbm 3
u h s Btu/lbm Btu/lbm Btu/lbm•R P= 90 psia (Tsat= 72.83°F)
v ft /lbm 3
u h s Btu/lbm Btu/lbm Btu/lbm•R P= 100 psia (Tsat= 79.17°F)
sat. 80 100 120 140
0.5278 0.5408 0.5751 0.6073 0.6380
102.89 104.46 108.82 113.15 117.50
111.68 113.47 118.39 123.27 128.12
0.2172 0.2205 0.2295 0.2380 0.2463
0.4747 0.4761 0.5086 0.5388 0.5674
103.68 103.87 108.32 112.73 117.13
112.46 112.68 117.73 122.70 127.63
0.2169 0.2173 0.2265 0.2352 0.2436
160 180 200 220 240
0.6675 0.6961 0.7239 0.7512 0.7779
121.87 126.28 130.73 135.25 139.82
132.98 137.87 142.79 147.76 152.77
0.2542 0.2620 0.2696 0.2770 0.2843
0.5947 0.6210 0.6466 0.6716 0.6960
121.55 125.99 130.48 135.02 139.61
132.55 137.49 142.45 147.45 152.49
0.2517 0.2595 0.2671 0.2746 0.2819
260 280 300 320
0.8043 144.45 157.84 0.8303 149.15 162.97 0.8561 153.91 168.16 0.8816 158.73 173.42 p= 140 psia (Tsat= 100. 56°F)
0.2914 0.2984 0.3054 0.3122
0.7201 144.26 157.59 0.7438 148.98 162.74 0.7672 153.75 167.95 0.7904 158.59 173.21 p= 160 psia (Tsat= 109.55°F)
0.2891 0.2962 0.3031 0.3099
sat. 120 140 160 180
0.3358 0.3610 0.3846 0.4066 0.4274
106.25 110.90 115.58 120.21 124.82
114.95 120.25 125.24 130.74 135.89
0.2161 0.2254 0.2344 0.2429 0.2511
0.2916 0.3044 0.3269 0.3474 0.3666
107.28 109.88 114.73 119.49 124.20
115.91 118.89 124.41 129.78 135.06
0.2157 0.2209 0.2303 0.2391 0.2475
200 220 240 260 280
0.4474 0.4666 0.4852 0.5034 0.5212
129.44 134.09 138.77 143.50 148.28
141.03 146.18 151.34 156.54 161.78
0.2590 0.2667 0.2742 0.2815 0.2887
0.3849 0.4023 0.4192 0.4356 0.4516
128.90 133.61 138.34 143.11 147.92
140.29 145.52 150.75 156.00 161.29
0.2555 0.2633 0.2709 0.2783 0.2856
300 320 340 360
0.5387 153.11 167.06 0.5559 157.99 172.39 0.5730 162.93 177.78 0.5898 167.93 183.21 p= 200 psia (Tsat= 125.28°F)
0.2957 0.3026 0.3094 0.3162
0.4672 152.78 166.61 0.4826 157.69 171.98 0.4978 162.65 177.39 0.5128 167.67 182.85 p= 300 psia (Tsat= 156.17°F)
0.2927 0.2996 0.3065 0.3132
sat. 140 160 180 200
0.2288 0.2446 0.2636 0.2809 0.2970
108.98 112.87 117.94 122.88 127.76
117.44 121.92 127.70 133.28 138.75
0.2151 0.2226 0.2321 0.2410 0.2494
0.1424
111.72
119.62
0.2132
0.1462 0.1633 0.1777
112.95 118.93 124.47
121.07 128.00 134.34
0.2155 0.2265 0.2363
220 240 260
0.3121 0.3266 0.3405
132.60 137.44 142.30
144.15 149.53 154.90
0.2575 0.2653 0.2728
0.1905 0.2021 0.2130
129.79 134.99 140.12
140.36 146.21 151.95
0.2453 0.2537 0.2618
169 de 211
10/08/2017
Tablas Termodinámicas
Tabla A13E (Sistema Inglés)
280 300
0.3540 0.3671
147.18 152.10
160.28 165.69
0.2802 0.2874
0.2234 0.2333
145.23 150.33
157.63 163.28
0.2696 0.2772
320 340 360 380 400
0.3799 0.3926 0.4050
157.07 162.07 167.13
171.13 176.60 182.12
0.2945 0.3014 0.3082
0.2428 0.2521 0.2611 0.2699 0.2786
155.44 160.57 165.74 170.94 176.18
168.92 174.56 180.23 185.92 191.64
0.2845 0.2916 0.2986 0.3055 0.3122
170 de 211
10/08/2017
Tablas Termodinámicas
Tabla A13E (Sistema Inglés)
v ft /lbm 3
u h s Btu/lbm Btu/lbm Btu/lbm•R P = 20 psia (Tsat = -2.48°F)
2.2661
93.00
101.39
0.2227
2.2816 2.4046 2.5244
93.43 96.98 100.59
101.88 105.88 109.94
0.2238 0.2323 0.2406
2.6416 2.7569 2.8705 2.9829 3.0942
104.28 108.05 111.90 115.83 119.85
114.06 118.25 122.52 126.87 131.30
0.2487 0.2566 0.2644 0.2720 0.2795
3.2047 123.95 135.81 3.3144 128.13 140.40 3.4236 132.40 145.07 3.5323 136.76 149.83 P = 50 psia (Tsat = 40.27°F)
0.2869 0.2922 0.3014 0.3085
0.9422
98.71
107.43
0.2189
0.9974 1.0508
102.62 106.62
111.85 116.34
0.2276 0.2361
1.1022 1.1520 1.2007 1.2484 1.2953
110.65 114.74 118.88 123.08 127.36
120.85 125.39 129.99 134.64 139.34
0.2443 0.2523 0.2601 0.2677 0.2752
1.3415 131.71 144.12 1.3873 136.12 148.96 1.4326 140.61 153.87 1.4775 145.18 158.85 1.5221 149.82 163.90 P = 80 psia (Tsat = 65.93°F)
0.2825 0.2897 0.2969 0.3039 0.3108
0.5938
102.02
110.81
0.2175
0.6211 0.6579 0.6927
105.03 109.30 113.56
114.23 119.04 123.82
0.2239 0.2327 0.2411
0.7261 0.7584
117.85 122.18
128.60 133.41
0.2492 0.2570
171 de 211
10/08/2017
Tablas Termodinámicas
Tabla A13E (Sistema Inglés)
0.7898 0.8205 0.8506
126.55 130.98 135.47
138.25 143.13 148.06
0.2647 0.2722 0.2796
0.8803 0.9095 0.9384 0.9671 0.9955
140.02 144.63 149.32 154.06 158.88
153.05 158.10 163.21 168.38 173.62
0.2868 0.2940 0.3010 0.3079 0.3147
172 de 211
10/08/2017
Tablas Termodinámicas
Tabla A13E (Sistema Inglés)
v u h s ft /lbm Btu/lbm Btu/lbm Btu/lbm•R P= 120 psia (Tsat= 90.54°F) 3
0.3941
105.06
113.82
0.2165
0.4080 0.4355 0.4610
107.26 111.84 116.37
116.32 121.52 126.61
0.2210 0.2301 0.2387
0.4852 0.5082 0.5305 0.5520 0.5731
120.89 125.42 129.97 134.56 139.20
131.66 136.70 141.75 146.82 151.92
0.2470 0.2550 0.2628 0.2704 0.2778
0.5937 143.89 157.07 0.6140 148.63 162.26 0.6339 153.43 167.51 0.6537 158.29 172.81 p= 180 psia (Tsat= 117.74°F)
0.2850 0.2921 0.2991 0.3060
0.2569 0.2595 0.2814 0.3011 0.3191
108.18 108.77 113.83 118.74 123.56
116.74 117.41 123.21 128.77 134.19
0.2154 0.2166 0.2264 0.2355 0.2441
0.3361 0.3523 0.3678 0.3828 0.3974
128.34 133.11 137.90 142.71 147.55
139.53 144.84 150.15 155.46 160.79
0.2524 0.2603 0.2680 0.2755 0.2828
0.4116 152.44 166.15 0.4256 157.38 171.55 0.4393 162.36 177.00 0.4529 167.40 182.49 p= 400 psia (Tsat= 179.95°F)
0.2899 0.2969 0.3038 0.3106
0.0965
112.77
119.91
0.2102
0.0965 0.1143
112.79 120.14
119.93 128.60
0.2102 0.2235
0.1275 0.1386 0.1484
126.35 132.12 137.65
135.79 142.38 148.64
0.2343 0.2438 0.2527
173 de 211
10/08/2017
Tablas Termodinámicas
Tabla A13E (Sistema Inglés)
0.1575 0.1660
143.06 148.39
154.72 160.67
0.2610 0.2689
0.1740 0.1816 0.1890 0.1962 0.2032
153.69 158.97 164.26 169.57 174.90
166.57 172.42 178.26 184.09 189.94
0.2766 0.2840 0.2912 0.2983 0.3051
174 de 211
10/08/2017
Tablas Termodinámicas
Tabla A14E (Sistema Inglés)
Figura A14E Diagrama a P-h para el refrigerante 134a. (Reimpreso con autorización de la American Society of Heating, Refrigerating and Air-Conditioning Engineers, Inc., Atlanta, G.A.)
175 de 211
10/08/2017
Tablas Termodinámicas
Tabla A14E (Sistema Inglés)
176 de 211
10/08/2017
Tablas Termodinámicas
Tabla A17E (Sistema Inglés)
TABLA A17E Propiedades de gas ideal del aire T
h
u Pr
s0 vr 396.6 346.6 305.0 270.1 240.6
Btu/lbm •R 0.503 69 0.516 63 0.528 90 0.540 58 0.551 72
78.36 81.77 85.20 88.62 91.53 92.04
215.33 193.65 174.90 158.58 146.34 144.32
0.562 35 0.572 55 0.582 33 0.591 73 0.599 45 0.600 78
1.5742 1.780 2.005 2.249 2.514
95.47 98.90 102.34 105.78 109.21
131.78 120.70 110.88 102.12 94.30
0.609 50 0.617 93 0.626 07 0.633 95 0.641 59
157.92 162.73 167.56 172.39 177.23
2.801 3.111 3.446 3.806 4.193
112.67 116.12 119.58 123.04 126.51
87.27 80.96 75.25 70.07 65.38
0.649 02 0.656 21 0.663 21 0.670 02 0.676 65
760 780 800 820 840
182.08 186.94 191.81 196.69 201.56
4.607 5.051 5.526 6.033 6.573
129.99 133.47 136.97 140.47 143.98
61.10 57.20 53.63 50.35 47.34
0.683 12 0.689 42 0.695 58 0.701 60 0.707 47
860 880 900 920 940
206.46 211.35 216.26 221.18 226.11
7.149 7.761 8.411 9.102 9.834
147.50 151.02 154.57 158.12 161.68
44.57 42.01 39.64 37.44 35.41
0.713 23 0.718 86 0.724 38 0.729 79 0.735 09
960 980 1,000 1,040 1,080
231.06 236.02 240.98 250.95 260.97
10.61 11.43 12.30 14.18 16.28
165.26 168.83 172.43 179.66 186.93
33.52 31.76 30.12 27.17 24.58
0.740 30 0.745 40 0.750 42 0.760 19 0.769 64
1,120 1,160
271.03 281.14
18.60 21.18
194.25 201.63
22.30 20.29
0.778 80 0.787 67
R 360 380 400 420 440
Btu/lbm 85.97 90.75 95.53 100.32 105.11
0.3363 0.4061 0.4858 0.5760 0.6776
Btu/lbm 61.29 64.70 68.11 71.52 74.93
460 480 500 520 537 540
109.90 114.69 119.48 124.27 128.10 129.06
0.7913 0.9182 1.0590 1.2147 1.3593 1.3860
560 580 600 620 640
133.86 138.66 143.47 148.28 153.09
660 680 700 720 740
177 de 211
10/08/2017
Tablas Termodinámicas
1,200 1,240 1,280
Tabla A17E (Sistema Inglés)
291.30 301.52 311.79
24.01 27.13 30.55
209.05 216.53 224.05
178 de 211
18.51 16.93 15.52
0.796 28 0.804 66 0.812 80
10/08/2017
Tablas Termodinámicas
Tabla A17E (Sistema Inglés)
TABLA A17E continuación Propiedades de gas ideal del aire T
h
u Pr
s0 vr 14.25 13.12 12.10 11.17 10.34
Btu/lbm •R 0.820 75 0.828 48 0.836 04 0.843 41 0.850 62
270.26 278.13 286.06 296.03 306.06
9.578 8.890 8.263 7.556 6.924
0.857 67 0.864 56 0.871 30 0.879 54 0.887 58
101.98 114.0 127.2 141.5 157.1
316.16 326.32 336.55 346.85 357.20
6.357 5.847 5.388 4.974 4.598
0.895 42 0.903 08 0.910 56 0.917 88 0.925 04
504.71 518.71 532.55 546.54 560.59
174.0 192.3 212.1 223.5 256.6
367.61 378.08 388.60 399.17 409.78
4.258 3.949 3.667 3.410 3.176
0.932 05 0.938 91 0.945 64 0.952 22 0.959 19
2,250 2,300 2,350 2,400 2,450
574.69 588.82 603.00 617.22 631.48
281.4 308.1 336.8 367.6 400.5
420.46 431.16 441.91 452.70 463.54
2.961 2.765 2.585 2.419 2.266
0.965 01 0.971 23 0.977 32 0.983 31 0.989 19
2,500 2,550 2,600 2,650 2,700
645.78 660.12 674.49 688.90 703.35
435.7 473.3 513.5 556.3 601.9
474.40 485.31 496.26 507.25 518.26
2.125 1.996 1.876 1.765 1.662
0.994 97 1.000 64 1.006 23 1.011 72 1.017 12
2,750 2,800 2,850
717.83 732.33 746.88
650.4 702.0 756.7
529.31 540.40 551.52
1.566 1.478 1.395
1.022 44 1.027 67 1.032 82
R 1,320 1,360 1,400 1,440 1,480
Btu/lbm 322.11 332.48 342.90 353.37 363.89
34.31 38.41 42.88 47.75 53.04
Btu/lbm 231.63 239.25 246.93 254.66 262.44
1,520 1,560 1,600 1,650 1,700
374.47 385.08 395.74 409.13 422.59
58.78 65.00 71.13 80.89 90.95
1,750 1,800 1,850 1,900 1,950
436.12 449.71 463.37 477.09 490.88
2,000 2,050 2,100 2,150 2,200
179 de 211
10/08/2017
Tablas Termodinámicas
2,900 2,950
Tabla A17E (Sistema Inglés)
761.45 776.05
814.8 876.4
562.66 573.84
180 de 211
1.318 1.247
1.037 88 1.042 88
10/08/2017
Tablas Termodinámicas
Tabla A17E (Sistema Inglés)
TABLA A17E continuación Propiedades de gas ideal del aire T
h
R 3,000 3,050 3,100 3,150 3,200
Btu/lbm 790.68 805.34 820.03 834.75 849.48
3,250 3,300 3,350 3,400 3,450
u Pr 941.4 1,011 1,083 1,161 1,242
Btu/lbm 585.04 596.28 607.53 618.82 630.12
864.24 879.02 893.83 908.66 923.52
1,328 1,418 1,513 1,613 1,719
3,500 3,550 3,600 3,650 3,700
938.40 953.30 968.21 983.15 998.11
3,750 3,800 3,850 3,900 3,950
s0 vr
Btu/lbm •R
1.180 1.118 1.060 1.006 0.955
1.047 79 1.052 64 1.057 41 1.062 12 1.066 76
641.46 652.81 664.20 675.60 687.04
0.907 0.8621 0.8202 0.7807 0.7436
1.071 34 1.075 85 1.080 31 1.084 70 1.089 04
1,829 1,946 2,068 2,196 2,330
698.48 709.95 721.44 732.95 744.48
0.7087 0.6759 0.6449 0.6157 0.5882
1.093 32 1.097 55 1.101 72 1.105 84 1.109 91
1,013.1 1,028.1 1,043.1 1,058.1 1,073.2
2,471 2,618 2,773 2,934 3,103
756.04 767.60 779.19 790.80 802.43
0.5621 0.5376 0.5143 0.4923 0.4715
1.113 93 1.117 91 1.121 83 1.125 71 1.129 55
4,000 4,050 4,100 4,150 4,200
1,088.3 1,103.4 1,118.5 1,133.6 1,148.7
3,280 3,464 3,656 3,858 4,067
814.06 825.72 837.40 849.09 860.81
0.4518 0.4331 0.4154 0.3985 0.3826
1.133 34 1.137 09 1.140 79 1.144 46 1.148 09
4,300 4,400 4,500 4,600 4,700
1,179.0 1,209.4 1,239.9 1,270.4 1,300.9
4,513 4,997 5,521 6,089 6,701
884.28 907.81 931.39 955.04 978.73
0.3529 0.3262 0.3019 0.2799 0.2598
1.155 22 1.162 21 1.169 05 1.175 75 1.182 32
4,800 4,900 5,000 5,100 5,200 5,300
1,331.5 1,362.2 1,392.9 1,423.6 1,454.4 1,485.3
7,362 8,073 8,837 9,658 10,539 11,481
1,002.5 1,026.3 1,050.1 1,074.0 1,098.0 1,122.0
0.2415 0.2248 0.2096 0.1956 0.1828 0.1710
1.188 76 1.195 08 1.201 29 1.207 38 1.213 36 1.219 23
181 de 211
10/08/2017
Tablas Termodinámicas
Tabla A17E (Sistema Inglés)
Nota: Las propiedades Pr (presión relativa) y vr (volumen específico relativo) son cantidades adimensionales utilizadas en el análisis de procesos isentrópicos, y no deberán confundirse con las propiedades de presión y volumen específico. Fuente: Kenneth Wark, Thermodynamics, 4a. ed. (Nueva York: McGraw-Hill, 1983), pp. 832-833, tabla A.5. Publicada originalmente en J. H. Keenan y J. Kaye, Gas Tables (Nueva York: John Wiley & Sons, 1948).
182 de 211
10/08/2017
Tablas Termodinámicas
Tabla A18E (Sistema Inglés)
TABLA A18E Propiedades de gas ideal del nitrógeno, N2 T
h
u
R 300 320 340 360 380
Btu/lbm 2,082.0 2,221.0 2,360.0 2,498.9 2,638.0
Btu/lbm 1,486.2 1,585.5 1,684.4 1,784.0 1,883.4
400 420 440 460 480
2,777.0 2,916.1 3,055.1 3,194.1 3,333.1
500 520 537 540 560
0
0
T
h
u
Btu/lbm •R 41.695 42.143 42.564 42.962 43.337
R 1,080 1,100 1,120 1,140 1,160
Btu/lbm 7,551.0 7,695.0 7,839.3 7,984.0 8,129.0
Btu/lbm 5,406.2 5,510.5 5,615.2 5,720.1 5,825.4
Btu/lbm •R 50.651 50.783 50.912 51.040 51.167
1,982.6 2,082.0 2,181.3 2,280.6 2,379.9
43.694 44.034 44.357 44.665 44.962
1,180 1,200 1,220 1,240 1,260
8,274.4 8,420.0 8,566.1 8,712.6 8,859.3
5,931.0 6,037.0 6,143.4 6,250.1 6,357.2
51.291 51.143 51.534 51.653 51.771
3,472.2 3,611.3 3,729.5 3,750.3 3,889.5
2,479.3 2,578.6 2,663.1 2,678.0 2,777.4
45.246 45.519 45.743 45.781 46.034
1,280 1,300 1,320 1,340 1,360
9,006.4 9,153.9 9,301.8 9,450.0 9,598.6
6,464.5 6,572.3 6,680.4 6,788.9 6,897.8
51.887 51.001 52.114 52.225 52.335
580 600 620 640 660
4,028.7 4,167.9 4,307.1 4,446.4 4,585.8
2,876.9 2,976.4 3,075.9 3,175.5 3,275.2
46.278 46.514 46.742 46.964 47.178
1,380 1,400 1,420 1,440 1,460
9,747.5 9,896.9 10,046.6 10,196.6 10,347.0
7,007.0 7,116.7 7,226.7 7,337.0 7,447.6
52.444 52.551 52.658 52.763 52.867
680 700 720 740 760
4,725.3 4,864.9 5,004.5 5,144.3 5,284.1
3,374.9 3,474.8 3,574.7 3,674.7 3,774.9
47.386 47.588 47.785 47.977 48.164
1,480 1,500 1,520 1,540 1,560
10,497.8 10,648.0 10,800.4 10,952.2 11,104.3
7,558.7 7,670.1 7,781.9 7,893.9 8,006.4
52.969 53.071 53.171 53.271 53.369
780 800 820 840 860
5,424.2 5,564.4 5,704.7 5,845.3 5,985.9
3,875.2 3,975.7 4,076.3 4,177.1 4,278.1
48.345 48.522 48.696 48.865 49.031
1,580 1,600 1,620 1,640 1,660
11,256.9 11,409.7 11,562.8 11,716.4 11,870.2
8,119.2 8,232.3 8,345.7 8,459.6 8,573.6
53.465 53.561 53.656 53.751 53.844
880 900 920 940 960
6,126.9 6,268.1 6,409.6 6,551.2 6,693.1
4,379.4 4,480.8 4,582.6 4,684.5 4,786.7
49.193 49.352 49.507 49.659 49.808
1,680 1,700 1,720 1,740 1,760
12,024.3 12,178.9 12,333.7 12,488.8 12,644.3
8,688.1 8,802.9 8,918.0 9,033.4 9,149.2
53.936 54.028 54.118 54.208 54.297
980 1,000
6,835.4 6,977.9
4,889.3 4,992.0
49.955 50.099
1,780 1,800
12,800.2 12,956.3
9,265.3 9,381.7
54.385 54.472
s
183 de 211
s
10/08/2017
Tablas Termodinámicas
1,020 1,040 1,060
7,120.7 7,263.8 7,407.2
Tabla A18E (Sistema Inglés)
5,095.1 5,198.5 5,302.2
50.241 50.380 50.516
1,820 1,840 1,860
184 de 211
13,112.7 13,269.5 13,426.5
9,498.4 9,615.5 9,732.8
54.559 54.645 54.729
10/08/2017
Tablas Termodinámicas
Tabla A18E (Sistema Inglés)
TABLA A18E
continuación Propiedades de gas ideal del nitrógeno, N2 T
h
u
R 1,900 1,940 1,980 2,020 2,060
Btu/lbm 13,742 14,058 14,375 14,694 15,013
Btu/lbm 9,968 10,205 10,443 10,682 10,923
2,100 2,140 2,180 2,220 2,260
15,334 15,656 15,978 16,302 16,626
2,300 2,340 2,380 2,420 2,460
0
0
T
h
u
Btu/lbm •R 54.896 55.061 55.223 55.383 55.540
R 3,500 3,540 3,580 3,620 3,660
Btu/lbm 27,016 27,359 27,703 28,046 28,391
Btu/lbm 20,065 20,329 20,593 20,858 21,122
Btu/lbm •R 59.944 60.041 60.138 60.234 60.328
11,164 11,406 11,649 11,893 12,138
55.694 55.846 55.995 56.141 56.286
3,700 3,740 3,780 3,820 3,860
28,735 29,080 29,425 29,771 30,117
21,387 21,653 21,919 22,185 22,451
60.422 60.515 60.607 60.698 60.788
16,951 17,277 17,604 17,392 18,260
12,384 12,630 12,878 13,126 13,375
56.429 56.570 56.708 56.845 56.980
3,900 3,940 3,980 4,020 4,060
30,463 30,809 31,156 31,503 31,850
22,718 22,985 23,252 23,520 23,788
60.877 60.966 61.053 61.139 61.225
2,500 2,540 2,580 2,620 2,660
18,590 18,919 19,250 19,582 19,914
13,625 13,875 14,127 14,379 14,631
57.112 57.243 57.372 57.499 57.625
4,100 4,140 4,180 4,220 4,260
32,198 32,546 32,894 33,342 33,591
24,056 24,324 24,593 24,862 25,131
61.310 61.395 61.479 61.562 61.644
2,700 2,740 2,780 2,820 2,860
20,246 20,580 20,914 21,248 21,584
14,885 15,139 15,393 15,648 15,905
57.750 57.872 57.993 58.113 58.231
4,300 4,340 4,380 4,420 4,460
33,940 34,289 34,638 34,988 35,338
25,401 25,670 25,940 26,210 26,481
61.726 61.806 61.887 61.966 62.045
2,900 2,940 2,980 3,020 3,060
21,920 22,256 22,593 22,930 23,268
16,161 16,417 16,675 16,933 17,192
58.348 58.463 58.576 58.688 58.800
4,500 4,540 4,580 4,620 4,660
35,688 36,038 36,389 36,739 37,090
26,751 27,022 27,293 27,565 27,836
62.123 62.201 62.278 62.354 62.429
3,100 3,140 3,180 3,220 3,260
23,607 23,946 24,285 24,625 24,965
17,451 17,710 17,970 18,231 18,491
58.910 59.019 59.126 59.232 59.338
4,700 4,740 4,780 4,820 4,860
37,441 37,792 38,144 38,495 38,847
28,108 28,379 28,651 28,924 29,196
62.504 62.578 62.652 62.725 62.798
3,300 3,340
25,306 25,647
18,753 19,014
59.442 59.544
4,900 5,000
39,199 40,080
29,468 30,151
62.870 63.049
s
185 de 211
s
10/08/2017
Tablas Termodinámicas
Tabla A18E (Sistema Inglés)
3,380 25,989 19,277 59.646 5,100 40,962 30,834 63.223 3,420 26,331 19,539 59.747 5,200 41,844 31,518 63.395 3,460 26,673 19,802 59.846 5,300 42,728 32,203 63.563 Fuente: Las tablas A.18E a la A.23E fueron tomadas de Kenneth Wark, Thermodynamics, 4a. ed. (Nueva York: McGraw-Hill, 1983), pp. 834-844. Originalmente publicadas en J. H. Keenan y J. Kaye, Gas Tables (Nueva York: John Wiley & Sons, 1945).
186 de 211
10/08/2017
Tablas Termodinámicas
Tabla A19E (Sistema Inglés)
TABLA A19E Propiedades de gas ideal del oxígeno, O2 T
h
u
s
T
0
h
u
s
0
R 300 320 340 360 380
Btu/lbm 2,073.5 2,212.6 2,351.7 2,490.8 2,630.0
Btu/lbm 1,477.8 1,577.1 1,676.5 1,775.9 1,875.3
Btu/lbm •R 44.927 45.375 45.797 46.195 46.571
R 1,080 1,100 1,120 1,140 1,160
Btu/lbm 7,696.8 7,850.4 8,004.5 8,159.1 8,314.2
Btu/lbm 5,552.1 5,665.9 5,780.3 5,895.2 6,010.6
Btu/lbm •R 54.064 54.204 54.343 54.480 54.614
400 420 440 460 480
2,769.1 2,908.3 3,047.5 3,186.9 3,326.5
1,974.8 2,074.3 2,173.8 2,273.4 2,373.3
46.927 47.267 47.591 47.900 48.198
1,180 1,200 1,220 1,240 1,260
8,469.8 8,625.8 8,782.4 8,939.4 9,096.7
6,126.5 6,242.8 6,359.6 6,476.9 6,594.5
54.748 54.879 55.008 55.136 55.262
500 520 537 540 560
3,466.2 3,606.1 3,725.1 3,746.2 3,886.6
2,473.2 2,573.4 2,658.7 2,673.8 2,774.5
48.483 48.757 48.982 49.021 49.276
1,280 1,300 1,320 1,340 1,360
9,254.6 9,412.9 9,571.9 9,730.7 9,890.2
6,712.7 6,831.3 6,950.2 7,069.6 7,189.4
55.386 55.508 55.630 55.750 55.867
580 600 620 640 660
4,027.3 4,168.3 4,309.7 4,451.4 4,593.5
2,875.5 2,976.8 3,078.4 3,180.4 3,282.9
49.522 49.762 49.993 50.218 50.437
1,380 1,400 1,420 1,440 1,460
10,050.1 10,210.4 10,371.0 10,532.0 10,693.3
7,309.6 7,430.1 7,551.1 7,672.4 7,793.9
55.984 56.099 56.213 56.326 56.437
680 700
4,736.2 4,879.3
3,385.8 3,489.2
50.650 50.858
1,480 1,500
10,855.1 11,017.1
7,916.0 8,038.3
56.547 56.656
720 740 760
5,022.9 5,167.0 5,311.4
3,593.1 3,697.4 3,802.4
51.059 51.257 51.450
1,520 1,540 1,560
11,179.6 11,342.4 11,505.4
8,161.1 8,284.2 8,407.4
56.763 56.869 56.975
780 800 820 840 860
5,456.4 5,602.0 5,748.1 5,894.8 6,041.9
3,907.5 4,013.3 4,119.7 4,226.6 4,334.1
51.638 51.821 52.002 52.179 52.352
1,580 1,600 1,620 1,640 1,660
11,668.8 11,832.5 11,996.6 12,160.9 12,325.5
8,531.1 8,655.1 8,779.5 8,904.1 9,029.0
57.079 57.182 57.284 57.385 57.484
880 900 920 940 960
6,189.6 6,337.9 6,486.7 6,636.1 6,786.0
4,442.0 4,550.6 4,659.7 4,769.4 4,879.5
52.522 52.688 52.852 53.012 53.170
1,680 1,700 1,720 1,740 1,760
12,490.4 12,655.6 12,821.1 12,986.9 13,153.0
9,154.1 9,279.6 9,405.4 9,531.5 9,657.9
57.582 57.680 57.777 57.873 57.968
980 1,000
6,936.4 7,087.5
4,990.3 5,101.6
53.326 53.477
1,780 1,800
13,319.2 13,485.8
9,784.4 9,911.2
58.062 58.155
187 de 211
10/08/2017
Tablas Termodinámicas
1,020 1,040 1,060
7,238.9 7,391.0 7,543.6
Tabla A19E (Sistema Inglés)
5,213.3 5,325.7 5,438.6
53.628 53.775 53.921
1,820 1,840 1,860
188 de 211
13,652.5 13,819.6 13,986.8
10,038.2 10,165.6 10,293.1
58.247 58.339 58.428
10/08/2017
Tablas Termodinámicas
Tabla A19E (Sistema Inglés)
TABLA A19E
continuación Propiedades de gas ideal del oxígeno, O 2 T
h
u
s
T
0
h
u
s
0
R 1,900 1,940 1,980 2,020 2,060
Btu/lbm 14,322 14,658 14,995 15,333 15,672
Btu/lbm 10,549 10,806 11,063 11,321 11,581
Btu/lbm •R 58.607 58.782 58.954 59.123 59.289
R 3,500 3,540 3,580 3,620 3,660
Btu/lbm 28,273 28,633 28,994 29,354 29,716
Btu/lbm 21,323 21,603 21,884 22,165 22,447
Btu/lbm •R 63.914 64.016 64.114 64.217 64.316
2,100 2,140 2,180 2,220 2,260
16,011 16,351 16,692 17,036 17,376
11,841 12,101 12,363 12,625 12,888
59.451 59.612 59.770 59.926 60.077
3,700 3,740 3,780 3,820 3,860
30,078 30,440 30,803 31,166 31,529
22,730 23,013 23,296 23,580 23,864
64.415 64.512 64.609 64.704 64.800
2,300 2,340 2,380 2,420 2,460 2,500
17,719 18,062 18,407 18,572 19,097 19,443
13,151 13,416 13,680 13,946 14,212 14,479
60.228 60.376 60.522 60.666 60.808 60.946
3,900 3,940 3,980 4,020 4,060 4,100
31,894 32,258 32,623 32,989 33,355 33,722
24,149 24,434 24,720 25,006 25,292 25,580
64.893 64.986 65.078 65.169 65.260 65.350
2,540 2,580 2,620 2,660 2,700
19,790 20,138 20,485 20,834 21,183
14,746 15,014 15,282 15,551 15,821
61.084 61.220 61.354 61.486 61.616
4,140 4,180 4,220 4,260 4,300
34,089 34,456 34,824 35,192 35,561
25,867 26,155 26,144 26,733 27,022
64.439 65.527 65.615 65.702 65.788
2,740 2,780 2,820 2,860 2,900
21,533 21,883 22,232 22,584 22,936
16,091 16,362 16,633 16,905 17,177
61.744 61.871 61.996 62.120 62.242
4,340 4,380 4,420 4,460 4,500
35,930 36,300 36,670 37,041 37,412
27,312 27,602 27,823 28,184 28,475
65.873 65.958 66.042 66.125 66.208
2,940 2,980 3,020 3,060 3,100
23,288 23,641 23,994 24,348 24,703
17,450 17,723 17,997 18,271 18,546
62.363 62.483 62.599 62.716 62.831
4,540 4,580 4,620 4,660 4,700
37,783 38,155 38,528 38,900 39,274
28,768 29,060 29,353 29,646 29,940
66.290 66.372 66.453 66.533 66.613
3,140 3,180 3,220 3,260 3,300
25,057 25,413 25,769 26,175 26,412
18,822 19,098 19,374 19,651 19,928
62.945 63.057 63.169 63.279 63.386
4,740 4,780 4,820 4,860 4,900
39,647 40,021 40,396 40,771 41,146
30,234 30,529 30,824 31,120 31,415
66.691 66.770 66.848 66.925 67.003
3,340
26,839
20,206
63.494
5,000
42,086
32,157
67.193
189 de 211
10/08/2017
Tablas Termodinámicas
3,380 3,420 3,460
27,197 27,555 27,914
Tabla A19E (Sistema Inglés)
20,485 20,763 21,043
63.601 63.706 63.811
5,100 5,200 5,300
190 de 211
43,021 43,974 44,922
32,901 33,648 34,397
67.380 67.562 67.743
10/08/2017
Tablas Termodinámicas
Tabla A20E (Sistema Inglés)
TABLA A20E Propiedades de gas ideal del dióxido de carbono, CO 2 T
h
u
s
0
T
h
u
s
0
R 300 320 340 360 380
Btu/lbm 2,108.2 2,256.6 2,407.3 2,560.5 2,716.4
Btu/lbm 1,512.4 1,621.1 1,732.1 1,845.6 1,961.8
Btu/lbm •R 46.353 46.832 47.289 47.728 48.148
R 1,080 1,100 1,120 1,140 1,160
Btu/lbm 9,575.8 9,802.6 10,030.6 10,260.1 10,490.6
Btu/lbm 7,431.1 7,618.1 7,806.4 7,996.2 8,187.0
Btu/lbm •R 58.072 58.281 58.485 58.689 58.889
400 420 440 460 480
2,874.7 3,035.7 3,199.4 3,365.7 3,534.7
2,080.4 2,201.7 2,325.6 2,452.2 2,581.5
48.555 48.947 49.329 49.698 50.058
1,180 1,200 1,220 1,240 1,260
10,722.3 10,955.3 11,189.4 11,424.6 11,661.0
8,379.0 8,572.3 8,766.6 8,962.1 9,158.8
59.088 59.283 59.477 59.668 59.858
500 520 537 540 560
3,706.2 3,880.3 4,027.5 4,056.8 4,235.8
2,713.3 2,847.7 2,963.8 2,984.4 3,123.7
50.408 50.750 51.032 51.082 51.408
1,280 1,300 1,320 1,340 1,360
11,898.4 12,136.9 12,376.4 12,617.0 12,858.5
9,356.5 9,555.3 9,755.0 9,955.9 10,157.7
60.044 60.229 60.412 60.593 60.772
580 600 620 640 660
4,417.2 4,600.9 4,786.6 4,974.9 5,165.2
3,265.4 3,409.4 3,555.6 3,704.0 3,854.6
51.726 52.038 52.343 52.641 52.934
1,380 1,400 1,420 1,440 1,460
13,101.0 13,344.7 13,589.1 13,834.5 14,080.8
10,360.5 10,564.5 10,769.2 10,974.8 11,181.4
60.949 61.124 61.298 61.469 61.639
680 700 720 740 760
5,357.6 5,552.0 5,748.4 5,946.8 6,147.0
4,007.2 4,161.9 4,318.6 4,477.3 4,637.9
53.225 53.503 53.780 54.051 54.319
1,480 1,500 1,520 1,540 1,560
14,328.0 14,576.0 14,824.9 15,074.7 15,325.3
11,388.9 11,597.2 11,806.4 12,016.5 12,227.3
61.800 61.974 62.138 62.302 62.464
780 800 820 840 860
6,349.1 6,552.9 6,758.3 6,965.7 7,174.7
4,800.1 4,964.2 5,129.9 5,297.6 5,466.9
54.582 54.839 55.093 55.343 55.589
1,580 1,600 1,620 1,640 1,660
15,576.7 15,829.0 16,081.9 16,335.7 16,590.2
12,439.0 12,651.6 12,864.8 13,078.9 13,293.7
62.624 62.783 62.939 63.095 63.250
880 900 920 940 960
7,385.3 7,597.6 7,811.4 8,026.8 8,243.8
5,637.7 5,810.3 5,984.4 6,160.1 6,337.4
55.831 56.070 56.305 56.536 56.765
1,680 1,700 1,720 1,740 1,760
16,845.5 17,101.4 17,358.1 17,615.5 17,873.5
13,509.2 13,725.4 13,942.4 14,160.1 14,378.4
63.403 63.555 63.704 63.853 64.001
980 1,000
8,462.2 8,682.1
6,516.1 6,696.2
56.990 57.212
1,780 1,800
18,132.2 18,391.5
14,597.4 14,816.9
64.147 64.292
191 de 211
10/08/2017
Tablas Termodinámicas
1,020 1,040 1,060
8,903.4 9,126.2 9,350.3
Tabla A20E (Sistema Inglés)
6,877.8 7,060.9 7,245.3
57.432 57.647 57.861
1,820 1,840 1,860
192 de 211
18,651.5 18,912.2 19,173.4
15,037.2 15,258.2 15,479.7
64.435 64.578 64.719
10/08/2017
Tablas Termodinámicas
Tabla A20E (Sistema Inglés)
TABLA A20E continuación Propiedades de gas ideal del dióxido de carbono, CO 2 T
h
u
s
0
T
h
u
s
0
R 1,900 1,940 1,980 2,020 2,060
Btu/lbm 19,698 20,224 20,753 21,284 21,818
Btu/lbm 15,925 16,372 16,821 17,273 17,727
Btu/lbm •R 64.999 65.272 65.543 65.809 66.069
R 3,500 3,540 3,580 3,620 3,660
Btu/lbm 41,965 42,543 43,121 43,701 44,280
Btu/lbm 35,015 35,513 36,012 36,512 37,012
Btu/lbm •R 73.462 73.627 73.789 73.951 74.110
2,100 2,140 2,180 2,220 2,260
22,353 22,890 23,429 23,970 24,512
18,182 18,640 19,101 19,561 20,024
66.327 66.581 66.830 67.076 67.319
3,700 3,740 3,780 3,820 3,860
44,861 45,442 46,023 46,605 47,188
37,513 38,014 38,517 39,019 39,522
74.267 74.423 74.578 74.732 74.884
2,300 2,340 2,380 2,420 2,460
25,056 25,602 26,150 26,699 27,249
20,489 20,955 21,423 21,893 22,364
67.557 67.792 68.025 68.253 68.479
3,900 3,940 3,980 4,020 4,060
47,771 48,355 48,939 49,524 50,109
40,026 40,531 41,035 41,541 42,047
75.033 75.182 75.330 75.477 75.622
2,500 2,540 2,580 2,620 2,660
27,801 28,355 28,910 29,465 30,023
22,837 23,310 23,786 24,262 24,740
68.702 68.921 69.138 69.352 69.563
4,100 4,140 4,180 4,220 4,260
50,695 51,282 51,868 52,456 53,044
42,553 43,060 43,568 44,075 44,584
75.765 75.907 76.048 76.188 76.327
2,700 2,740 2,780 2,820 2,860
30,581 31,141 31,702 32,264 32,827
25,220 25,701 26,181 26,664 27,148
69.771 69.977 70.181 70.382 70.580
4,300 4,340 4,380 4,420 4,460
53,632 54,221 54,810 55,400 55,990
45,093 45,602 46,112 46,622 47,133
76.464 76.601 76.736 76.870 77.003
2,900 2,940 2,980 3,020 3,060
33,392 33,957 34,523 35,090 35,659
27,633 28,118 28,605 29,093 29,582
70.776 70.970 71.160 71.350 71.537
4,500 4,540 4,580 4,620 4,660
56,581 57,172 57,764 58,356 58,948
47,645 48,156 48,668 49,181 49,694
77.135 77.266 77.395 77.581 77.652
3,100 3,140 3,180 3,220 3,260
36,228 36,798 37,369 37,941 38,513
30,072 30,562 31,054 31,546 32,039
71.722 71.904 72.085 72.264 72.441
4,700 4,740 4,780 4,820 4,860
59,541 60,134 60,728 61,322 61,916
50,208 50,721 51,236 51,750 52,265
77.779 77.905 78.029 78.153 78.276
3,300 3,340
39,087 39,661
32,533 33,028
72.616 72.788
4,900 5,000
62,511 64,000
52,781 54,071
78.398 78.698
193 de 211
10/08/2017
Tablas Termodinámicas
3,380 3,420 3,460
40,236 40,812 41,388
Tabla A20E (Sistema Inglés)
33,524 34,020 34,517
72.960 73.129 73.297
5,100 5,200 5,300
194 de 211
65,491 66,984 68,471
55,363 56,658 57,954
78.994 79.284 79.569
10/08/2017
Tablas Termodinámicas
Tabla A21E (Sistema Inglés)
TABLA A21E Propiedades de gas ideal del monóxido de carbono, CO T
h
u
s
0
T
h
u
s
0
R 300 320 340 360 380
Btu/lbm 2,081.9 2,220.9 2,359.9 2,498.8 2,637.9
Btu/lbm 1,486.1 1,585.4 1,684.7 1,783.9 1,883.3
Btu/lbm •R 43.223 43.672 44.093 44.490 44.866
R 1,080 1,100 1,120 1,140 1,160
Btu/lbm 7,571.1 7,716.8 7,862.9 8,009.2 8,156.1
Btu/lbm 5,426.4 5,532.3 5,638.7 5,745.4 5,851.5
Btu/lbm •R 52.203 52.337 52.468 52.598 52.726
400 420 440 460 480
2,776.9 2,916.0 3,055.0 3,194.0 3,333.0
1,982.6 2,081.9 2,181.2 2,280.5 2,379.8
45.223 45.563 45.886 46.194 46.491
1,180 1,200 1,220 1,240 1,260
8,303.3 8,450.8 8,598.8 8,747.2 8,896.0
5,960.0 6,067.8 6,176.0 6,284.7 6,393.8
52.852 52.976 53.098 53.218 53.337
500 520 537 540 560
3,472.1 3,611.2 3,725.1 3,750.3 3,889.5
2,479.2 2,578.6 2,663.1 2,677.9 2,777.4
46.775 47.048 47.272 47.310 47.563
1,280 1,300 1,320 1,340 1,360
9,045.0 9,194.6 9,344.6 9,494.8 9,645.5
6,503.1 6,613.0 6,723.2 6,833.7 6,944.7
53.455 53.571 53.685 53.799 53.910
580 600 620 640 660
4,028.7 4,168.0 4,307.4 4,446.9 4,586.6
2,876.9 2,976.5 3,076.2 3,175.9 3,275.8
47.807 48.044 48.272 48.494 48.709
1,380 1,400 1,420 1,440 1,460
9,796.6 9,948.1 10,100.0 10,252.2 10,404.8
7,056.1 7,167.9 7,280.1 7,392.6 7,505.4
54.021 54.129 54.237 54.344 54.448
680 700 720 740 760
4,726.2 4,886.0 5,006.1 5,146.4 5,286.8
3,375.8 3,475.9 3,576.3 3,676.9 3,777.5
48.917 49.120 49.317 49.509 49.697
1,480 1,500 1,520 1,540 1,560
10,557.8 10,711.1 10,864.9 11,019.0 11,173.4
7,618.7 7,732.3 7,846.4 7,960.8 8,075.4
54.522 54.665 54.757 54.858 54.958
780 800 820 840 860
5,427.4 5,568.2 5,709.4 5,850.7 5,992.3
3,878.4 3,979.5 4,081.0 4,182.6 4,284.5
49.880 50.058 50.232 50.402 50.569
1,580 1,600 1,620 1,640 1,660
11,328.2 11,483.4 11,638.9 11,794.7 11,950.9
8,190.5 8,306.0 8,421.8 8,537.9 8,654.4
55.056 55.154 55.251 55.347 55.411
880 900 920 940 960
6,134.2 6,276.4 6,419.0 6,561.7 6,704.9
4,386.6 4,489.1 4,592.0 4,695.0 4,798.5
50.732 50.892 51.048 51.202 51.353
1,680 1,700 1,720 1,740 1,760
12,107.5 12,264.3 12,421.4 12,579.0 12,736.7
8,771.2 8,888.3 9,005.7 9,123.6 9,241.6
55.535 55.628 55.720 55.811 55.900
980 1,000 1,020
6,848.4 6,992.2 7,136.4
4,902.3 5,006.3 5,110.8
51.501 51.646 51.788
1,780 1,800 1,820
12,894.9 13,053.2 13,212.0
9,360.0 9,478.6 9,597.7
55.990 56.078 56.166
195 de 211
10/08/2017
Tablas Termodinámicas
1,040 1,060
7,281.0 7,425.9
Tabla A21E (Sistema Inglés)
5,215.7 5,320.9
51.929 52.067
1,840 1,860
196 de 211
13,371.0 13,530.2
9,717.0 9,836.5
56.253 56.339
10/08/2017
Tablas Termodinámicas
Tabla A21E (Sistema Inglés)
TABLA A21E Continuación Propiedades de gas ideal del monóxido de carbono, CO T
h
u
s
0
T
h
u
s
0
R 1,900 1,940 1,980 2,020 2,060
Btu/lbm 13,850 14,170 14,492 14,815 15,139
Btu/lbm 10,077 10,318 10,560 10,803 11,048
Btu/lbm •R 56.509 56.677 56.841 57.007 57.161
R 3,500 3,540 3,580 3,620 3,660
Btu/lbm 27,262 27,608 27,954 28,300 28,647
Btu/lbm 20,311 20,576 20,844 21,111 21,378
Btu/lbm •R 61.612 61.710 61.807 61.903 61.998
2,100 2,140 2,180 2,220 2,260
15,463 15,789 16,116 16,443 16,722
11,293 11,539 11,787 12,035 12,284
57.317 57.470 57.621 57.770 57.917
3,700 3,740 3,780 3,820 3,860
28,994 29,341 29,688 30,036 30,384
21,646 21,914 22,182 22,450 22,719
62.093 62.186 62.279 62.370 62.461
2,300 2,340 2,380 2,420 2,460
17,101 17,431 17,762 18,093 18,426
12,534 12,784 13,035 13,287 13,541
58.062 58.204 58.344 58.482 58.619
3,900 3,940 3,980 4,020 4,060
30,733 31,082 31,431 31,780 32,129
22,988 23,257 23,527 23,797 24,067
62.511 62.640 62.728 62.816 62.902
2,500 2,540 2,580 2,620 2,660
18,759 19,093 19,427 19,762 20,098
13,794 14,048 14,303 14,559 14,815
58.754 58.885 59.016 59.145 59.272
4,100 4,140 4,180 4,220 4,260
32,479 32,829 33,179 33,530 33,880
24,337 24,608 24,878 25,149 25,421
62.988 63.072 63.156 63.240 63.323
2,700 2,740 2,780 2,820 2,860
20,434 20,771 21,108 21,446 21,785
15,072 15,330 15,588 15,846 16,105
59.398 59.521 59.644 59.765 59.884
4,300 4,340 4,380 4,420 4,460
34,231 34,582 34,934 35,285 35,637
25,692 25,934 26,235 26,508 26,780
63.405 63.486 63.567 63.647 63.726
2,900 2,940 2,980 3,020 3,060
22,124 22,463 22,803 23,144 23,485
16,365 16,225 16,885 17,146 17,408
60.002 60.118 60.232 60.346 60.458
4,500 4,540 4,580 4,620 4,660
35,989 36,341 36,693 37,046 37,398
27,052 27,325 27,598 27,871 28,144
63.805 63.883 63.960 64.036 64.113
3,100 3,140 3,180 3,220 3,260
23,826 24,168 24,510 24,853 25,196
17,670 17,932 18,195 18,458 18,722
60.569 60.679 60.787 60.894 61.000
4,700 4,740 4,780 4,820 4,860
37,751 38,104 38,457 38,811 39,164
28,417 28,691 28,965 29,239 29,513
64.188 64.263 64.337 64.411 64.484
3,300 3,340 3,380
25,539 25,883 26,227
18,986 19,250 19,515
61.105 61.209 61.311
4,900 5,000 5,100
39,518 40,403 41,289
29,787 30,473 31,161
64.556 64.735 64.910
197 de 211
10/08/2017
Tablas Termodinámicas
3,420 3,460
26,572 26,917
Tabla A21E (Sistema Inglés)
19,780 20,045
61.412 61.513
5,200 5,300
198 de 211
42,176 43,063
31,849 32,538
65.082 65.252
10/08/2017
Tablas Termodinámicas
Tabla A22E (Sistema Inglés)
TABLA A22E Propiedades de gas ideal del hidrógeno, H2 T
h
u
s
0
T
h
u
s
0
R 300 320 340 360 380
Btu/lbm 2,063.5 2,189.4 2,317.2 2,446.8 2,577.8
Btu/lbm 1,467.7 1,553.9 1,642.0 1,731.9 1,823.2
Btu/lbm •R 27.337 27.742 28.130 28.501 28.856
R 1,400 1,500 1,600 1,700 1,800
Btu/lbm 9,673.8 10,381.5 11,092.5 11,807.4 12,526.8
Btu/lbm 6,893.6 7,402.7 7,915.1 8,431.4 8,952.2
Btu/lbm •R 37.883 38.372 38.830 39.264 39.675
400 420 440 460 480
2,710.2 2,843.7 2,978.1 3,113.5 3,249.4
1,915.8 2,009.6 2,104.3 2,200.0 2,296.2
29.195 29.520 29.833 30.133 20.424
1,900 2,000 2,100 2,200 2,300
13,250.9 13,980.1 14,714.5 15,454.4 16,199.8
9,477.8 10,008.4 10,544.2 11,085.5 11,632.3
40.067 40.441 40.799 41.143 41.475
500 520 537 540 560
3,386.1 3,523.2 3,640.3 3,660.9 3,798.8
2,393.2 2,490.6 2,573.9 2,588.5 2,686.7
30.703 30.972 31.194 31.232 31.482
2,400 2,500 2,600 2,700 2,800
16,950.6 17,707.3 18,469.7 19,237.8 20,011.8
12,184.5 12,742.6 13,306.4 13,876.0 14,451.4
41.794 42.104 42.403 42.692 42.973
580 600 620 640 660
3,937.1 4,075.6 4,214.3 4,353.1 4,492.1
2,785.3 2,884.1 2,983.1 3,082.1 3,181.4
31.724 31.959 32.187 32.407 32.621
2,900 3,000 3,100 3,200 3,300
20,791.5 21,576.9 22,367.7 23,164.1 23,965.5
15,032.5 15,619.3 16,211.5 16,809.3 17,412.1
43.247 43.514 43.773 44.026 44.273
680 700 720 740 760
4,631.1 4,770.2 4,909.5 5,048.8 5,188.1
3,280.7 3,380.1 3,479.6 3,579.2 3,678.8
32.829 33.031 33.226 33.417 33.603
3,400 3,500 3,600 3,700 3,800
24,771.9 25,582.9 26,398.5 27,218.5 28,042.8
18,019.9 18,632.4 19,249.4 19,870.8 20,496.5
44.513 44.748 44.978 45.203 45.423
780 800 820 840 860
5,327.6 5,467.1 5,606.7 5,746.3 5,885.9
3,778.6 3,878.4 3,978.3 4,078.2 4,178.0
33.784 33.961 34.134 34.302 34.466
3,900 4,000 4,100 4,200 4,300
28,871.1 29,703.5 30,539.8 31,379.8 32,223.5
21,126.2 21,760.0 22,397.7 23,039.2 23,684.3
45.638 45.849 46.056 46.257 46.456
880 900 920 940 960
6,025.6 6,165.3 6,305.1 6,444.9 6,584.7
4,278.0 4,378.0 4,478.1 4,578.1 4,678.3
34.627 34.784 34.938 35.087 35.235
4,400 4,500 4,600 4,700 4,800
33,070.9 33,921.6 34,775.7 35,633.0 36,493.4
24,333.1 24,985.2 25,640.7 26,299.4 26,961.2
46.651 46.842 47.030 47.215 47.396
980 1,000
6,724.6 6,864.5
4,778.4 4,878.6
35.379 35.520
4,900 5,000
35,356.9 38,223.3
27,626.1 28,294.0
47.574 47.749
199 de 211
10/08/2017
Tablas Termodinámicas
1,100 1,200 1,300
7,564.6 8,265.8 8,968.7
Tabla A22E (Sistema Inglés)
5,380.1 5,882.8 6,387.1
36.188 36.798 37.360
5,100 5,200 5,300
200 de 211
39,092.8 39,965.1 40,840.2
28,964.9 29,638.6 30,315.1
47.921 48.090 48.257
10/08/2017
Tablas Termodinámicas
Tabla A23E (Sistema Inglés)
TABLA A23E Propiedades de gas ideal del vapor de agua, H 20 T
h
u
s
T
0
h
u
s
0
R 300 320 340 360 380
Btu/lbm 2,367.6 2,526.8 2,686.0 2,845.1 3,004.4
Btu/lbm 1,771.8 1,891.3 2,010.8 2,130.2 2,249.8
Btu/lbm •R 40.439 40.952 41.435 41.889 42.320
R 1,080 1,100 1,120 1,140 1,160
Btu/lbm 8,768.2 8,942.0 9,116.4 9,291.4 9,467.1
Btu/lbm 6,623.5 6,757.5 6,892.2 7,027.5 7,163.5
Btu/lbm •R 50.854 51.013 51.171 51.325 51.478
400 420 440 460 480
3,163.8 3,323.2 3,482.7 3,642.3 3,802.0
2,369.4 2,489.1 2,608.9 2,728.8 2,848.8
42.728 43.117 43.487 43.841 44.182
1,180 1,200 1,220 1,240 1,260
9,643.4 9,820.4 9,998.0 10,176.1 10,354.9
7,300.1 7,437.4 7,575.2 7,713.6 7,852.7
51.360 51.777 51.925 52.070 52.212
500 520 537 540 560
3,962.0 4,122.0 4,258.0 4,282.4 4,442.8
2,969.1 3,089.4 3,191.9 3,210.0 3,330.7
44.508 44.821 45.079 45.124 45.415
1,280 1,300 1,320 1,340 1,360
10,534.4 10,714.5 10,895.3 11,076.6 11,258.7
7,992.5 8,132.9 8,274.0 8,415.5 8,557.9
52.354 52.494 52.631 52.768 52.903
580 600 620 640 660
4,603.7 4,764.7 4,926.1 5,087.8 5,250.0
3,451.9 3,573.2 3,694.9 3,816.8 3,939.3
45.696 45.970 46.235 46.492 46.741
1,380 1,400 1,420 1,440 1,460
11,441.4 11,624.8 11,808.8 11,993.4 12,178.8
8,700.9 8,844.6 8,988.9 9,133.8 9,279.4
53.037 53.168 53.299 53.428 53.556
680 700 720 740 760
5,412.5 5,575.4 5,738.8 5,902.6 6,066.9
4,062.1 4,185.3 4,309.0 4,433.1 4,557.6
46.984 47.219 47.450 47.673 47.893
1,480 1,500 1,520 1,540 1,560
12,364.8 12,551.4 12,738.8 12,926.8 13,115.6
9,425.7 9,572.7 9,720.3 9,868.6 10,017.6
53.682 53.808 53.932 54.055 54.117
780 800 820 840 860
6,231.7 6,396.9 6,562.6 6,728.9 6,895.6
4,682.7 4,808.2 4,934.2 5,060.8 5,187.8
48.106 48.316 48.520 48.721 48.916
1,580 1,600 1,620 1,640 1,660
13,305.0 13,494.4 13,685.7 13,877.0 14,069.2
10,167.3 10,317.6 10,468.6 10,620.2 10,772.7
54.298 54.418 54.535 54.653 54.770
880 900 920 940 960
7,062.9 7,230.9 7,399.4 7,568.4 7,738.0
5,315.3 5,443.6 5,572.4 5,701.7 5,831.6
49.109 49.298 49.483 49.665 49.843
1,680 1,700 1,720 1,740 1,760
14,261.9 14,455.4 14,649.5 14,844.3 15,039.8
10,925.6 11,079.4 11,233.8 11,388.9 11,544.7
54.886 54.999 55.113 55.226 55.339
980 1,000
7,908.2 8,078.2
5,962.0 6,093.0
50.019 50.191
1,780 1,800
15,236.1 15,433.0
11,701.2 11,858.4
55.449 55.559
201 de 211
10/08/2017
Tablas Termodinámicas
1,020 1,040 1,060
8,250.4 8,422.4 8,595.0
Tabla A23E (Sistema Inglés)
6,224.8 6,357.1 6,490.0
50.360 50.528 50.693
1,820 1,840 1,860
202 de 211
15,630.6 15,828.7 16,027.6
12,016.3 12,174.7 12,333.9
55.668 55.777 55.884
10/08/2017
Tablas Termodinámicas
Tabla A23E (Sistema Inglés)
TABLA A23E Continuación Propiedades de gas ideal del vapor de agua, H 20 T
h
u
s
0
T
h
u
s
0
R 1,900 1,940 1,980 2,020 2,060
Btu/lbm 16,428 16,830 17,235 17,643 18,054
Btu/lbm 12,654 12,977 13,303 13,632 13,963
Btu/lbm •R 56.097 56.307 56.514 56.719 56.920
R 3,500 3,540 3,580 3,620 3,660
Btu/lbm 34,324 34,809 35,296 35,785 36,274
Btu/lbm 27,373 27,779 28,187 28,596 29,006
Btu/lbm •R 62.876 63.015 63.153 63.288 63.423
2,100 2,140 2,180 2,220 2,260
18,467 18,883 19,301 19,722 20,145
14,297 14,633 14,972 15,313 15,657
57.119 57.315 57.509 57.701 57.889
3,700 3,740 3,780 3,820 3,860
36,765 37,258 37,752 38,247 38,743
29,418 29,831 30,245 30,661 31,077
63.557 63.690 63.821 63.952 64.082
2,300 2,340 2,380 2,420 2,460
20,571 20,999 21,429 21,862 22,298
16,003 16,352 16,703 17,057 17,413
58.077 58.261 58.445 58.625 58.803
3,900 3,940 3,980 4,020 4,060
39,240 39,739 40,239 40,740 41,242
31,495 31,915 32,335 32,757 33,179
64.210 64.338 64.465 64.591 64.715
2,500 2,540 2,580 2,620 2,660
22,735 23,175 23,618 24,062 24,508
17,771 18,131 18,494 18,859 19,226
58.980 59.155 59.328 59.500 59.669
4,100 4,140 4,180 4,220 4,260
41,745 42,250 42,755 43,267 43,769
33,603 34,028 34,454 34,881 35,310
64.839 64.962 65.084 65.204 65.325
2,700 2,740 2,780 2,820 2,860
24,957 25,408 25,861 26,316 26,773
19,595 19,967 20,340 20,715 21,093
59.837 60.003 60.167 60.330 60.490
4,300 4,340 4,380 4,420 4,460
44,278 44,788 45,298 45,810 46,322
35,739 36,169 36,600 37,032 37,465
65.444 65.563 65.680 65.797 65.913
2,900 2,940 2,980 3,020 3,060
27,231 27,692 28,154 28,619 29,085
21,472 21,853 22,237 22,621 23,085
60.650 60.809 60.965 61.120 61.274
4,500 4,540 4,580 4,620 4,660
46,836 47,350 47,866 48,382 48,899
37,900 38,334 38,770 39,207 39,645
66.028 66.142 66.255 66.368 66.480
3,100 3,140 3,180 3,220 3,260
29,553 30,023 30,494 30,967 31,442
. 23 397 23,787 24,179 24,572 24,968
61.426 61.577 61.727 61.874 62.022
4,700 4,740 4,780 4,820 4,860
49,417 49,936 50,455 50,976 51,497
40,083 40,523 40,963 41,404 41,856
66.591 66.701 66.811 66.920 67.028
3,300 3,340
31,918 32,396
25,365 25,763
62.167 62.312
4,900 5,000
52,019 53,327
42,288 43,398
67.135 67.401
203 de 211
10/08/2017
Tablas Termodinámicas
3,380 3,420 3,460
32,876 33,357 33,839
Tabla A23E (Sistema Inglés)
26,164 26,565 26,968
62.454 62.597 62.738
5,100 5,200 5,300
204 de 211
54,640 55,957 57,279
44,512 45,631 46,754
67.662 67.918 68.172
10/08/2017
Tablas Termodinámicas
Tabla A26E (Sistema Inglés)
TABLA A26E Entalpía de formación, función de Gibbs de formación y entropía absoluta a 77 °F, 1 atm o
o
Sustancia Acetileno
Fórmula C2H2(g)
Agua
gf
hf
Btu/lbm
s
Btu/lbm
o
Btu/lbm•R
97,540
87,990
48.00
H2(l)
-122,970
-102,040
16.71
Alcohol etílico
C2H5OH(l)
-119,470
-75,240
38.40
Alcohol etílico
C2H5OH(g)
-101,230
-72,520
67.54
Alcohol metílico
CH3OH(l)
-102,670
-71,570
30.30
Alcohol metílico
CH3OH(g)
-86,540
-69,700
57.29
Amoniaco
NH3(g)
-19,750
-7,140
45.97
Benceno Carbón
C6H6(g)
35,680 0
55,780 0
64.34 1.36
Dióxido de carbono
C(s) CO2(g)
-169,300
-169,680
51.07
Etano
C2H6(g)
-36,420
-14,150
54.85
Etileno Hidrógeno
C2H4(g)
22,490 93,780
29,306 87,460
52.54 27.39
0 16,790
0 14,750
31.21 43.92
-32,210 -47,540
-21,860 -59,010
44.49 47.21
-54,270
-6,760
74.11
-125,190 203,340
21,570 195,970
148.86 36.61
Hidrógeno Hidroxilo Metano Monóxido de carbono n-butano
H(g) H2(g) OH(g) CH4(g) CO(g) C4H10(g)
n-dodecano Nitrógeno
C12H26(g)
Nitrógeno
N2(g)
0
0
45.77
n-octano
C8H18(l)
-107,530
2,840
86.23
n-octano Oxígeno Oxígeno
C8H18(g) O(g) O2(g)
-89,680 107,210 0
7,110 99,710 0
111.55 38.47 49.00
Peróxido de hidrógeno
H2O2(g)
-58,640
-45,430
55.60
Propano
C3H8(g)
-44,680
-10,105
64.51
Propileno
C3H6(g)
8,790
26,980
63.80
N(g)
H2O(g) Vapor de agua -104,040 -98,350 45.11 Fuente: De JANAF, Thermochemical Tables (Midland, MI: Dow Chemical Co., 1971); Selected Values of Chemical Thermodynamic Properties, NBS Technical Note 270-3, 1968; y API Research Project 44 (Carnegie Press, 1953).
205 de 211
10/08/2017
Tablas Termodinámicas
Tabla A27E (Sistema Inglés)
TABLA A27E Propiedades de algunos combustibles e hidrocarburos comunes
Combustible (fase)
Masa molar, Ibm/lbmol
Entalpía de Calor espeDensidad,1 vaporización,2 cífico,1 Cp Ibm/ft3 Btu/lbm Btu/Ibm•°F
Aceti leno (g)
Fórmula C2H2
26.038
—
—
Benceno (l)
C6H6
78.114
54.7
Butano (l) Carbono (5)
C4H10
58.123 12.011
36.1 125
calorífico superior,3 Btu/lbm
0.404
21,490
186
0.411
17,970
156 —
0.578 0.169
21,130 14,100
45.6
155
0.53
20,490
Decano (l)
C C10H22
142.285
Diesel ligero (l)
CnH1.8n
170
49-52
116
0.53
19,800
Diesel pesado (l)
CnH1.7n
200
51-55
99
0.45
19,600
Etano (g)
C2H6
Etanol (l)
C2H6O
Gas natural (g)
CnH3.8nN0.1n
Gasolina (l)
CnH1.87n
Heptano (l)
C7H16
Hexano (l)
C6H14
Hexeno (l)
C6H12
Hidrógeno (g)
30.07
—
74
0.418
22,320
46.069
49.3
395
0.583
12,760
—
—
0.48
21,500
100-110
45-49
151
0.57
20,300
100.204
42.7
157
0.535
20,680
86.177
41.2
157
0.542
20,770
84.161
42
169
0.439
20,430
H2
2.016
—
—
3.44
60,970
Isopentano (l)
C5H12
72.15
39.1
—
0.554
20,890
Metano (g)
CH4
16.043
—
219
0.525
23,880
32.042 28.013
49.3 —
502
0.604 0.251
9,740 4,340
114.231
43.9
156
0.533
20,590
CH40 Metanol (l) Monóxido de carbono (g) CO C8H18 Octano (l)
18
Propano (l)
C3H8
44.097
31.2
180
0.662
21,640
Tolueno (l)
C7H8
92.141
54.1
177
0.408
18,230
C5H10 1-Penteno (l) 70.134 40.0 156 0.525 20,540 1 A 1 atm y 68°F. 2 A 77°F para combustibles líquidos, y 1 atm y temperatura normal de ebullición para combustibles gaseosos. 3 A 77°F. Multiplique por la masa molar para obtener los valores caloríficos en Btu/lbmol.
206 de 211
10/08/2017
Tablas Termodinámicas
Tabla A27E (Sistema Inglés)
calorífico inferior, 3 Btu/lbm 20,760 17,240 19,510 14,100 19,020 18,600 18,400 20,430 11,530 19,400 18,900 19,180 19,240 19,090 51,600 19,310 21,520 8,570 4,340 19,100 19,930 17,420 19,190
207 de 211
10/08/2017
Tablas Termodinámicas
Tabla A29E (Sistema Inglés)
TABLA A29E Propiedades de la atmósfera a gran altitud
Altitud, Temperatura, ft °F 0 59.00 500 57.22 1,000 55.43 1,500 53.65 2,000 51.87
Presión, psia 14.7 14.4 14.2 13.9 13.7
Velocidad Gravedad, del sonido, Densidad, Viscosidad, m Ibm/ft•s g ft/s2 ft/s lbm/ft3 32.174 1,116 0.076 47 1.202 x10-5 32.173 1,115 0.075 36 1.199 x10-5 32.171 1,113 0.074 26 1.196 x10-5 32.169 1,111 0.073 17 1.193 x10-5 32.168 1,109 0.072 10 1.190 x10-5
Conductividad térmica, Btu/h•ft•°F 0.0146 0.0146 0.0146 0.0145 0.0145
2,500 3,000 3,500 4,000 4,500
50.09 48.30 46.52 44.74 42.96
13.4 13.2 12.9 12.7 12.5
32.166 32.165 32.163 32.162 32.160
1,107 1,105 1,103 1,101 1,099
0.071 04 0.069 98 0.069 85 0.067 92 0.066 90
1.186 x10-5 1.183 x10-5 1.180 x10-5 1.177 x10-5 1.173 x10-5
0.0144 0.0144 0.0143 0.0143 0.0142
5,000 5,500 6,000 6,500 7,000
41.17 39.39 37.61 35.83 34.05
12.2 12.0 11.8 11.6 11.3
32.159 32.157 32.156 32.154 32.152
1,097 1,095 1,093 1,091 1,089
0.065 90 0.064 91 0.063 93 0.062 96 0.062 00
1.170 x10-5 1.167 x10-5 1.164 x10-5 1.160 x10-5 1.157 x10-5
0.0142 0.0141 0.0141 0.0141 0.0140
7,500 8,000 8,500 9,000 9,500
32.26 30.48 28.70 26.92 25.14
11.1 10.9 10.7 10.5 10.3
32.151 32.149 32.148 32.146 32.145
1,087 1,085 1,083 1,081 1,079
0.061 05 0.060 12 0.059 19 0.058 28 0.057 38
1.154 x10-5 1.150 x10-5 1.147 x10-5 1.144 x10-5 1.140 x10-5
0.0140 0.0139 0.0139 0.0138 0.0138
10,000 11,000 12,000 13,000 14,000
23.36 19.79 16.23 12.67 9.12
10.1 9.72 9.34 8.99 8.63
32.145 32.140 32.137 32.134 32.131
1,077 1,073 1,069 1,065 1,061
0.056 48 0.054 73 0.053 02 0.051 35 0.049 73
1.137 x10-5 1.130 x10-5 1.124 x10-5 1.117 x10-5 1.110 x10-5
0.0137 0.0136 0.0136 0.0135 0.0134
15,000 16,000 17,000 18,000 19,000
5.55 1.99 -1.58 -5.14 -8.70
8.29 7.97 7.65 7.34 7.05
32.128 32.125 32.122 32.119 32.115
1,057 1,053 1,049 1,045 1,041
0.048 14 0.046 59 0.045 08 0.043 61 0.042 17
1.104 x10-5 1.097 x10-5 1.090 x10-5 1.083 x10-5 1.076 x10-5
0.0133 0.0132 0.0132 0.0130 0.0129
20,000 22,000 24,000 26,000
-12.2 -19.4 -26.5 -33.6
6.76 6.21 5.70 5.22
32.112 32.106 32.100 32.094
1,037 1,029 1,020 1,012
0.040 77 0.038 08 0.035 53 0.033 11
1.070 x10-5 1.056 x10-5 1.042 x10-5 1.028 x10-5
0.0128 0.0126 0.0124 0.0122
208 de 211
10/08/2017
Tablas Termodinámicas
Tabla A29E (Sistema Inglés)
28,000
-40.7
4.78
32.088
1,003
0.030 82
1.014 x10-5
0.0121
30,000 32,000 34,000 36,000 38,000
-47.8 -54.9 -62.0 -69.2 -69.7
4.37 3.99 3.63 3.30 3.05
32.082 32.080 32.07 32.06 32.06
995 987 978 969 968
0.028 66 0.026 61 0.024 68 0.022 85 0.020 79
1.000 x10-5 0.986 x10-5 0.971 x10-5 0.956 x10-5 0.955 x10-5
0.0119 0.0117 0.0115 0.0113 0.0113
40,000 -69.7 2.73 32.05 968 0.018 90 0.955 x10-5 0.0113 -5 45,000 -69.7 2.15 32.04 968 0.014 87 0.955 x10 0.0113 50,000 -69.7 1.691 32.02 968 0.011 71 0.955 x10-5 0.0113 -5 55,000 -69.7 1.332 32.00 968 0.009 22 0.955 x10 0.0113 60,000 -69.7 1.048 31.99 968 0.007 26 0.955 x10-5 0.0113 Fuente: U.S. Standard Atmosphere Supplements. Oficina de Impresiones del Gobierno de EE.UU., 1966. Basadas en las condiciones medias anuales a una latitud de 45° que varía con la época del año y con los patrones del clima. Las condiciones al nivel del mar (z = 0) se consideran como P = 14.696 psia, T= 59°F, r = 0.076474 /ft3, g= 32.1741 ft/s2.
209 de 211
10/08/2017
Tablas Termodinámicas
Tabla A33E (Sistema Inglés)
Figura A33E Gráfica psicométrica a 1 atm de presión total.(De la America Society of Heating, Refrigerating and Air-Conditioning Engineers, Atlanta, GA; usada con permiso.)
210 de 211
10/08/2017
Tablas Termodinámicas
Tabla A33E (Sistema Inglés)
211 de 211
10/08/2017