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EJERCICIO 2.57 WARK

P [bar] v [m^3/kg]

INICIO 0.96 0.928

Datos: Proceso cuasiestático

DATOS DE COMPRESIÓN CU 4 3.5 3 2.5

P [bar]

2 1.5 1 0.5 0 0.3

0.4

0.5

0.6

v [m^3/kg

INICIO EJERCICIO 2.58 WARK

P [bar] v [m^3/kg]

2 0.525

Datos: Proceso cuasiestático

DATOS DE COMPRE 6 5 4

P [bar]

3 2 1 0 0.25

EJERCICIO 2.63 WARK

0.3

0.35

Datos:

ΔU Q Wpale Patm A Peso embolo Wgas Δs

-1 -8.7 6800 0.95 50 3000

[kJ] [kJ] [N.m] [bar] [cm^2] [N]

900 0.259

[J] [m]

EJERCICIO 2.67 WARK Datos:

P1 V1 V2 n

650

[kPa]

0.08 1.3

[m^3]

4.020

[kJ]

�=−∫25 _�^�▒��� =−∫1_ 0.02 [m^3]

C

Determinaremos trabajo -14.74

[kJ/kg]

EJERCICIO 2.68 WARK P1 V1

100 0.8

[kPa] [m^3]

V2 P2

0.16 500

[m^3] [kPa]

V3 V4

0.8 0.8

[m^3] [m^3]

100 1300 80 100

[kPa] [cm^3] [cm^3] [kPa]

EJERCICIO 2.70 WARK P1 v1 v2 Patm

EJERCICIO 2.72 WARK

V1 V2

0.861 0.0428

[m^3] [m^3]

P1 P2

0.976 10.244

[bar] [bar]

FINAL 1.47 0.675

2.18 0.503

2.94 0.403

3.6 0.346

Trabajo estimado de datos de tabla: 106.369

S DE COMPRESIÓN CUASIESTÁTICA

[kJ/kg]

Asumiendo que proceso cumple relaci Hallar las constantes: n C

1.34 0.869

�=−∫25_�^�▒��� =−∫1_�^� ▒

0.4

0.5

0.6

0.7

0.8

0.9

1

v [m^3/kg]

Determinaremos trabajo 104.416 FINAL 2.5 0.448

3 0.393

3.5 0.352

4 0.32

4.5 0.294

DATOS DE COMPRESIÓN CUASIESTÁTICA 6 5 4 3 2 1 0 0.25

0.3

0.35

0.4

v [m^3/kg]

0.45

0.5

0.55

5 0.273

[kJ/kg]

〖

�_���=∆�−�−�_������ ∆�=�_���/(�_���+�_���×�)

∫25_ �^�_^▒���_^ =−∫1_ �^�▒

〖� /�^� �� 〗 =−�×�/(� × ( _× ()× ( _−� (�_ (_ �^(�( −� )−�_ _�^(�(

Primer proceso, es un proceso de compresión C

W1-2 W2-3 W3-1 Wneto

80 [kJ]

�.�=�

�=−∫25_�^ _^_^ �_^▒���_^ =−∫1_�^�▒

〖�

128.76 [kJ] -320 [kJ] 0 [kJ] -191.24

[kJ]

Es un proceso de compresión politrópico: n C

1.3 0.018

�_�������=�_���+

Calculamos el trabajo necesario para comprimir el aire, suponiendo que no hay fricción:

Wfricc Wgas ΔV Watm Wsuminist

0 0.57 -1220 -0.122

[kJ] [kJ] [cm^3] [kJ]

0.44

[kJ]

∆�=(−∆�)/����

Calculamos el trabajo necesario para comprimir el aire, suponiendo que existe fricción: Ffric Aemb Δs Wfricc Wgas ΔV Watm Wsuminist

160 80 0.1525 0.0244 0.57 -1220 -0.122

[N] [cm^2] [m] [kJ] [kJ] [cm^3] [kJ]

0.47

[kJ]

La función de proceso para un cambio cuasiestatico es:

�= 〖 � �.���� . 〖〖 〗〖 ∕� �−� 〖 .���� .� × 〖𝟏𝟏〗 −^(−�) 〗∕𝟏 ^^�

〗

�_^_^ _���=−∫25_�^�_ ^ ▒���_ =−∫1_�^ ^ �▒( � �.���� 〖 . 〖〖 〗〖 ∕� �−� 〖 .���� .� × 〖𝟏 �(.×__−. _���=−(�.����×�� (_� . _� × )−�.���� (�_ /�_ × 〖𝟏𝟏〗 − . −×−+(_−_ ^(−�)×�/((−�+�) )×(�−

Trbajo comunicado al gas: Wgas Ffric Aemb ΔV ΔS Wfricc

218.2 180 100 -0.8182 81.8160 14.73

[kJ] [N] [cm^2] [m^3] [m] [kJ]

Patm Watm Wvastago

1 -81.816 151.150

[bar] [kJ] [kJ]

e datos de tabla:

oceso cumple relación politrópica:

^∫1_�^�▒

�.�^�=� �=log(�_1/�_2 )/log(�_2/�_1 )

〖� /�^� �� 〗 =−�×�/(� × ( _× ()× ( _−� (�_ (_�^(�( −� )−�_ _�^(�( −� ))

≤�≤�≤ ≤� .��� .

Trabajo estimado de datos de tabla: 78.800

Asumiendo que proceso cumple relación politrópica: Hallar las constantes: n C

1.40 0.811

Determinaremos trabajo 78.512

[kJ/kg]

�( −� )−�_ _�^(�( −� ))

�.�=�

1_�^�▒

〖� /� �� 〗 =−�×ln(�_/�_ _�/__ �_� __)

����=�_���+�_���×∆�+�_�����

ue no hay fricción:

�)/����

ue existe fricción:

� ..����� × 〖𝟏𝟏〗 −^(−�) 〗∕𝟏 ^^� 〗 )�� ((−�+�) )×(�− _� −�×−+(/�_−/�_ _� ))× 〖𝟏𝟏〗 ^^�

�_��������=�//� ×(�_^−�_^ _�^� −� _ �^� _�^� )

EJERCICIO 2.77 WARK K x1 L2 Compresión Wa Wb

144 0 6

[N/cm] [cm] [cm]

6.48 2.88

[J] [J]

9 8

[cm] [cm]

80 11

[N/cm] [cm]

20 4

[J] [J]

3.93 7.84

[cm] [cm]

L0a L0b

�_�=�_ (−�_�_�������

�_�=�_�−�__� (������ó

^(�( −� )) EJERCICIO 2.78 WARK K L0 Compresión Wa Wb L2a L2b

EJERCICIO 2.80 WARK

F1 F2 L1 L2 K L0 W

�_�=�×(�_�−�__�)

�= (�_−�_ _�( _�)/ �_−�_ _�− __ _ �_ _ __ �) 800 [N] -200 0.6 0.2 2500 0.28 -120

[N] [m] [m] [N/m] [m] [N.m]

EJERCICIO 2.82 WARK Et A0 L0 L1

2.07E+07 0.3 10 10.01

[N/cm^2] [cm^2] [m] [m]

�=((�.�)/�__�) � �=�/ = /�_(= )

_� / (�.�/� )�^�

�=�/ = /�_(= ) δ W

0.01 31.05

_� / (�.�/� )�^�

[m] [N.m]

�=�/ = /�^ = _ ^�/ _(�^ �)/�� �_

EJERCICIO 2.83 WARK Et A0 L0 F1 F2 W W

2.07E+07 0.3 10 8000 50000 51.53 2012.88

[N/cm^2] [cm^2] [m] [N] [N] [N.m] [N.m]

k δ1 δ2 W1 W2

6.21E+05 1.29E-02 8.05E-02 51.53 2012.88

[N/m] [m] [m] [N.m] [N.m]

EJERCICIO 2.88 WARK F1 F2 Lf1 Lf2 K L0 W

-50 150 0.3 0.7 500 0.4 20

[N] [N] [m] [m] [N/m] [m] [N.m]

EJERCICIO 2.95 WARK K Patm L0

11660 15 2

[lbf/ft] [psi] [ft]

2160

[lbf/ft^2]

�.�=�

�.�=� Ecuación de proceso para el gas, es:

�=−∫1_�^ _^_^ �_^▒���_^ =−∫1_�^�▒

P1 V1 V2 C P2 Wgas Aembolo Lf Wmuelle Watm Wvástago

2160 5 2.5 10800 4320

[lbf/ft^2] [ft^3] [ft^3]

7486.0 2.5 1 5830 -5400 7916

[ft.lbf]] [ft^2] [ft] [ft.lbf]] [ft.lbf]] [ft.lbf]]

〖� /� �� 〗 =−

[lbf/ft^2]

EJERCICIO 2.90 WARK k T teta d

7200 0.68 100 0.1

[N/m] [N.m] [rev] [m]

628.319 [rad]

El sistema se encuentra aislado, es decir Q=0, además si fuerza inicial es cero, resorte se encuentra e A Wrueda ΔS Ws-resort Wr-sistem Wgas ΔU

7.85E-03 427.257 -0.1 36 -36 -115.580 0.312

EJERCICIO 2.92 WARK Datos: Vi 32 k 10 L0 6 Aemb 4 Q 7 ΔS -2

[m^2] [N.m] [m] [N.m] [N.m] [N.m] [kJ]

[cm^3] [N/cm] [cm] [cm^2] [J] [cm]

�_(�−���)=�_���−�_�

�_���=�_���+�_�� �_���=�_���/�+�_ �_���=�_(�−����)+ �_�=�×(�_�−�__�)

Se sabe que en un principio, presión de gas esta equilibrada con la presión atmosférica y un muelle. Fs-resorte Fres Pgas Ws-rest Wr-sist Wgas ΔU

-20 20 150 0.2 -0.2 -1 6

[N] [N] [kPa] [N.m] [N.m] [J] [J]

EJERCICIO 2.98 WARK Aemb k P1 P2 Fres-embo1 Fres-embo1 Fs-r1 Fs-r2 ΔS ΔV Wgas

0.02 10000 0.1 0.3 2000 6000 -2000 -6000 -0.4 0.008 -1.6

[m^2] [N/m] [MPa] [MPa] [N] [N] [N] [N] [m] [m^3] [kJ]

�^� _)

�_�=�_ (−�_�_���������ó� )

�_�=�_�−�__� (������ó�)

_�=�×(�_�−�__�)

_ =((�.�)/�_ _� ) �

= =�//�_(= )

_� / (�.�/�_ )�^�

= =�//�_(= )

_� / (�.�/�_ )�^�

�//�^ = _ ^�/ _(�^ �)/�� �_

�▒

〖� /� �� 〗 =−�×ln(�_/�_ _�/__ �_� __)

Patm

1.01E+05 [N/m^2]

s cero, resorte se encuentra en reposo

�_(�−���)=�_���−�_���×�×∆�

�_���=�_���+�_��� �_���=�_���/�+�_��� �_���=�_(�−����)+�_���×�×∆� �_�=�×(�_�−�__�)

ón atmosférica y un muelle.

PROPIEDADES DE UNA SUSTANCIA PURA, SIMPLE COMPRESIBLE

EJERCICIO 3.52 WARK

Proceso de compresión isotérmico ( temperatura constante), REFRIGERANTE 134a se encuentra en vapor sobrecalentado, pues a T=200 °C presión de saturación es 10 bar Estado

T [°C] 1 2 3 4 5

w (TABLA)

P [bar] 40 40 40 40 40

15.33

5 6 7 8 9

v [m^3/kg] 0.04631 0.037724 0.03156 0.026903 0.023244

[kJ/kg]

Modelandolo como si fuera un gas ideal Ru M R

8.314 102.03 0.08148584

Estado 1 5

T [°K] 313.15 313.15

w q(TABLA) q(gas ideal) error

14.999 -22 -14.999 31

EJERCICIO 3.55 WARK

[kJ/kmol.K] [kg/kmol] [kJ/kg.K] P [bar]

v [m^3/kg] 5 0.05103458 9 0.0283525445

[kJ/kg] [kJ/kg] [kJ/kg] %

u [kJ/kg] 256.905 255.451 253.931 252.332 250.636

Mezcla de liquido - vapor de agua, expansión tipo Pv=const. ESTADO

P [bar] 1 2

w q

v [m^3/kg] 5 0.356 1.5 1.187

-214 283

u [kJ/kg] 2463.46 2532.01

[kJ/kg] [kJ/kg]

EJERCICIO 3.57 WARK El recipiente esta insuficientemente aislado, contiene nitrogeno líquido Capacidad de recipiente % Volumen N2 líquido V. N2 liquido saturado V. N2 vapor saturado

100 91.5 91.5 8.5

[lt] [%] [lt] [lt]

0.1 0.0915 0.0085

Para el estado inicial se calculará su volumenes especifico tanto para vapor como liquido servirá para determinar su calidad. En un principio solo se encuentra nitrogeno líquido e ESTADO 1 2 q Q Q. t

T[K] 77.24

P [bar]

vf [m^3/kg] vg [m^3/kg] 1.24E-03 0.21934

400 28.8994 2140.52 5 118.9

[kJ/kg] [kJ] [J/s] [horas]

EJERCICIO 3.60 WARK Depósito rígido, v=constante. Vdeposito 1 Estado

P [MPa] 1 2

Pfinal q

[m^3]

10 7.1

T [°C] 480 320

70.7 -314.51

[bar] [kJ/kg]

MASA 31.648 [kg] u [kJ/kg] v [m^3/kg] 3004.55 0.031598 2690.04 0.031598

Q

-9953.48

[kJ]

EJERCICIO 3.62 WARK mvaporsat 1.5 [kg] Q 600 [kJ] Revol. 2000 [rev] La presión permanece constante. ESTADO

P [bar] 1 2

τ

calidad

12566.4

T [°C]

3 3

1

17.9

[N.m]

[rad]

400

h [kJ/kg] 2724.35 3274.13

1800

[s]

EJERCICIO 3.63 WARK Proceso a presión constante. mvaporsat. 1 Q 225 Δt 0.5 I 1.5 ESTADO

P [bar] 1 2

V Energ. Elec. Suministro Costo

[kg] [kJ] [h] [A] calidad

5 5

T [°C] 1 400

h [kJ/kg] 2747.72 3270.98

110 [V] 0.08 [kW.h] 0.11 [$/kW.h] 0.91 [centavos]

EJERCICIO 3.68 WARK Depósito rígido, variación de volumen cero . Volumen 0.1 [m^3] Fluido es refrigerante 134A ESTADO

P [bar]

calidad

MASA 1.98

T [°C]

v [m^3/kg]

1 2 q Q

2 5

0.504

144.644 286.15

[kJ/kg] [kJ]

-10 60.87

0.050548 0.050548

v [m^3/kg] 0.4624 0.4624

u [kJ/kg] 2552.63 3015.07

v [m^3/kg] 0.20595 0.10298

u [kJ/kg] 2621.05 2259.04

EJERCICIO 3.70 WARK Depósito rígido y cerrado. mvaporsat. 0.5 Q 70 ESTADO

P [bar]

calidad

1 2 Δu ΔU W

[kg] [kJ]

4 7

1

462.44 231.22 161.2

[kJ/kg] [kJ] [kJ]

EJERCICIO 3.77 WARK Proceso de compresión isotérmico m 1 [kg] wcomp. 170 [kJ/kg] wpalet 49 [N.m/g] ESTADO

P [bar] 10

T [°C] 200 200

-362.01 -362.01 -581.01

[kJ/kg] [kJ] [kJ]

EJERCICIO 3.78 WARK Fluido Refrigerante 134A masa 0.1

[kg]

1 2 Δu ΔU Q

SALIDA

ESTADO

T [°C] 1 2

wexp. Δu ΔU Q

40 40 -19 79.674 7.9674 9.87

calidad 0.5

[N.m/g] [kJ/kg] [kJ] [kJ]

P [bar]

ENTRADA

v [m^3/kg] 0.010342 5 0.04631

LE COMPRESIBLE

), REFRIGERANTE 134a resión de saturación es 10 bar

geno líquido [m^3] [m^3] [m^3]

MASA 74.03 0.04

[kg] [kg]

tanto para vapor como liquido saturado, esto nos encuentra nitrogeno líquido es decir saturado. CALIDAD 0.0005232 0.0005232

u [kJ/kg] 27.7052 56.6046

27.7052 27.798

[kg]

u [kJ/kg]

130.114 274.758

u [kJ/kg] 177.231 256.905

EJERCICIO 3.80 WARK Fluido Refrigerante 134a Vinicial 1.194 Estado

T [°C] 1 2

40 50

[lt]

1.19E-03

P [bar] v [m^3/kg] 10.176 0.01981 5 0.048372

MASA [m^3] 6.03E-02 u [kJ/kg] 248.484 265.419

wgas -21.673 [kJ/kg] (TRABAJO EN LA FRONTERA) W -1.306 [kJ] Δu 16.935 [kJ/kg] ΔU 1.021 [kJ] Como se encuentra aislado el sistema, entonces Q=0 Welect 2.327 [kJ]

EJERCICIO 3.85 WARK Masa 0.025 Wrueda 1800

Estado

P [MPa] 1 2

Tfinal hfinal Q

3 3 233.857 2244.00 -19.2

[kg] Volumen [N.m]

T [°C] v [m^3/kg] 280 7.71E-02 233.857 0.046272 [°C] [kJ/kg] [kJ]

1.93E-03

[m^3]

u [kJ/kg] 2709.03 2105.18

h [kJ/kg] 2940.39 2244

EJERCICIO 3.87 WARK Estado

P [bar] 1 2 3

5 5 2

w Δu q q

-64.3 210 274 -1116

T [°C] v [m^3/kg] 151.812 0.37484 280 0.50338 120.188 0.50338 [kJ/kg] [kJ/kg] [kJ/kg] [kJ/kg]

u [kJ/kg] 2560.3 2770.33 1653.92

h [kJ/kg] 2747.72 3022.02 1754.6

Proc. 1-2 Proc. 2-3

EJERCICIO 3.90 WARK MASA Volumen 1

0.1

Estado

P [bar] 1 2 3

37.9 -32.1

EJERCICIO 3.91 WARK Volumen Estado

W ΔU Q

2

30 15.5519 15.5519 -3074.2 -41889.5 -38815.3

EJERCICIO 3.92 WARK

[kg]

v [m^3/kg] 40 0.086556 79.6223 0.086556 50 0.078091

u [kJ/kg] 259.921 292.738 267.639

[kJ] [kJ]

h [kJ/kg] 284.156 320.436 292.628

Proc. 1-2 Proc. 2-3

MASA

P [bar] 1 2 3

1.155

T [°C] 2.8 3.2 3.2

Qvol. Const. Qpre. Const.

[m^3]

[m^3]

20.129

[kg]

T [°C] v [m^3/kg] 400 0.099357 200 0.099357 200 1.16E-03

u [kJ/kg] 2931.9 2208.93 850.894

[kJ] [kJ] [kJ]

OUTPUT

h [kJ/kg] 3229.97 2363.45 852.692

Estado

P [bar] 1 2 3

w Δu q w Δu q

1 1 3

69.4 -855 -925 0.0 1282 1282

T [°C] v [m^3/kg] 99.5803 1.69378 99.5803 1 379.757 1

[kJ/kg] [kJ/kg] [kJ/kg] [kJ/kg] [kJ/kg] [kJ/kg]

Proc. 1-2

Proc. 2-3

u [kJ/kg] 2505.14 1649.66 2932.12

h [kJ/kg] 2674.52 1749.66 3232.12

[kg]

calidad 1 0.56788

calidad ---

calidad 0.77893

calidad 1 0.59014

EJERCICIO 4.1 WARK

Temp Pre M Ru V masa Temp Pre masa V

��=���

��=��_� �

��=��

Metano (CH4) 20 [°C] 1 [bar] 16.04 [kg/kmol] 0.08314 [bar.m^3/kmol.K] 26.4 [m^3] 17.37 [kg] 0 0.84 17.37 29.3

[°C] [bar] [kg] [m^3]

EJERCICIO 4.2 WARK Monoxido de carbono (CO) V 50 Presion 210 T 127 M 28.01 Ru 8.314 masa 0.088 masa esc. 0.02

[lt] [kPa] [°C] [kg/kmol] [kPa.m^3/kmol.K] [kg] [kg]

masa dispo. T Presión Patm Pmanom

0.068 27 121.883 98.8 23.083

[kg] [°C] [kPa] [kPa] [kPa]

�=(���)/ (�_��) �=(�_���)/ (��)

0.05 400.15

300.15

EJERCICIO 4.3 WARK PROPANO (C3H8) Masa T Presion

1500 42 450

[kg] [°C] [kPa]

315.15

Ru M V masa añad Masa dispo. Pfinal

8.314 44.09 198

[kPa.m^3/kmol.K] [kg/kmol] [m^3]

500 2000 600

[kg] [kg] [kPa]

EJERCICIO 4.10 WARK Nitrogeno (N2) masa V Presión Ru M T

1 0.55 0.17 8.314 28.01 315

[kg] [m^3] [Mpa] [kPa.m^3/kmol.K] [kg/kmol] [K]

ESCAPE Presión

0.2 0.136

[kg] [Mpa]

42

�=���

�=�_�/�

�=��

�=(� (��))/(� (��/����) ) �_�_ _/�_ � =(�_ _�__ �_�)/ �__ (�_ _�__ �_ �_ __ �)

=(���)/ _��)

=(�_���)/ ��)

[m^3] [K]

[K]

[K]

[°C]

EJERCICIO 4.12 WARK Dioxido de Carbono (CO2) P T m Ru M V Pnuev T mdisp ESCAPE

500 40 15 8.314 44.01 1.77

[kPa] [°C] [kg] [kPa.m^3/kmol.K] [kg/kmol] [m^3]

340 20 10.9 4.1

[kPa] [°C] [kg] [kg]

600 40 340 20 1 8.314 4.003 2.53 2.75

[kPa] [°C] [kPa] [°C] [kg] [kPa.m^3/kmol.K] [kg/kmol] [kg] [m^3]

1.5 37 0.03 8.314 28.01 0.30

[bar] [°C] [m^3] [kPa.m^3/kmol.K] [kg/kmol] [kPa.m^3/kg.K]

2.7

[bar]

EJERCICIO 4.13 WARK Se tiene Helio (He2) P1 T1 P2 T2 Extracción Ru M m1 V

EJERCICIO 4.15 WARK DEPOSITO A (Nitrógeno) Presión A Temp. A Vol. A Ru M R DEPOSITO B (Nitrógeno) Presión B

Temp. B

37

[°C]

EQUILIBRIO Presión 3 Temp. 3

2 27

[bar] [°C]

0.049 2.933 2.245 0.027

[kg]

mA C D Volum, B

[m^3]

EJERCICIO 4.22 WARK GAS IDEAL (NITRÓGENO) h[kJ/kg]

M

h-[kJ/kmol] 405.1 11346.85 11055 11347

GAS IDEAL (CO2) cv [kJ/kg.K] 0.79

390 380 390 M

T [K] 450

OXIGNO (O2) u[kJ/kg]

T [K]

M

u-[kJ/kmol] 461.6 14770

AIRE

T [K] 500 M

h[kJ/kg] 451.8

h-[kJ/kmol] 13088.646

u-[kJ/kmol]

GAS IDEAL (NITRÓGENO) T [K] 450 600

cp [kJ/kg.K] 1.049 1.075 1.062

Δh

EJERCICIO 4.28 WARK OXIGENO A T1 [k] T2 [k] B T1 [k] T2 [k] a b c d e Ru

M

32 h-[kJ/kmol] 300 500

8736 14770 h-[kJ/kmol]

400 800

11711 24667

3.626 -1.878E-03 7.056E-06 -6.764E-009 2.156E-012 8.314

[kJ/kmol.K]

Δh- A Δh- B

6035 12811.143

[kJ/kmol] [kJ/kmol]

Δh- A Δh- B

6034 12956

[kJ/kmol] [kJ/kmol]

cp [kJ/kg.K]A cp [kJ/kg.K]B

0.945 0.9975

Δh- A Δh- B

6048 12768

[kJ/kmol] [kJ/kmol]

313.15

[K]

293.15

[K]

ANÁLISIS ENERGÉTICO A TEM EJERCICIO 4.37 WARK AIRE (GAS IDEAL) masa 0.12 P 200 T 123 Ru 8.314 M 28.97 R 0.287 Proceso cuasiestático, isotérmico V1 Q Welec

2.118E-02 -15 1.5

Wgas V2 V2/V1

9.6 1.048E-02 0.5

313.15

[K]

293.15

[K]

2747

[lt]

150 310.15

[kPa] [K]

EJERCICIO 4.38 WARK ARGON (GAS IDEAL ) masa 0.1 P 2 T 51.85 Ru 8.314 M 39.94 R 0.208 q 68.2 Q 6.82 V2/V1 3 Wgas -7.43 Welec 0.61 Voltaje 12 Δt 20 In. Corrient. 2.6

[kPa]

EJERCICIO 4.40 WARK AIRE (GAS IDEAL) Vtotal 0.4

270

310.15

[K]

200 300.15

[kPa] [K]

28.01

[kg/kmol]

Vagua T P Ru M R Vaire maire Vagua aum. Vagua total Vaire total P2aire Wgas

0.3 20 240 8.314 28.97 0.287 0.1 0.285 0.05 0.35 0.05 480 16635.53

ANÁLISIS ENERGÉTICO

44.01

[kg/kmol]

32

[kg/kmol]

28.97

[kg/kmol]

u[kJ/kg] 322.62

EJERCICIO 4.47 WARK HIDRÓGENO (GAS IDEAL) Vinicial 0.1 masa 0.014 P 210 Vfinal 0.085 Ru 8.314 M 2.016 R 4.124 T1 363.72 T2 309.17 Wgas 3.15 u-[kJ/kmol] 7345.5 7268 7684 u-[kJ/kmol] 6216.3 6027 6440 ΔU Q

T [K] 363.72 360 380 T [K] 309.17 300 320 -7.84 -11.0

159.3 Cv-[kJ/kg.K] 10.316

T [K] 363.72

10.302 10.352 Cv-[kJ/kg.K] 10.205 10.183 10.302 Cv-[kJ/kg.K] ΔU

[kg/kmol] cp [kJ/kg.K] 0.918 0.972 0.941 1.054

590 1000 800

INTEGRACION INTEGRACIÓN TABLAS TABLAS

cp medio cp medio

0.214 0.3

17609 31389

Q

350 400 T [K] 309.17 300 350 10.2603 -7.837 -10.99

EJERCICIO 4.48 WARK HELIO (GAS IDEAL) N 0.01 P1 2 T1 20 V2/V1 1.25 Vueltas 1000 Ru 8.314 M 4.003 R 2.077 V1 0.122 V2 0.152 T2 366.44 cv12.5 cv 0.125 ΔU 9.161 Wgas -6.093 Wrueda 15.254 TORQUE 2.428

EJERCICIO 4.50 WARK NITROGENO (GAS IDEAL) Vinicial 0.1 P 200 T1 20 Ru 8.314 M 28.01 R 0.297 masa 0.230

Vfinal T1 Voltaje Intensidad Δt Welec Wgas Wneto u-[kJ/kmol] 6087.5 6021 6190 u-[kJ/kmol] 8531.6 8523 8733 ΔU Q

0.14 137.26 12 6 9 38.88 -8 30.9 T [K] 293.15 290 298 T [K] 410.41 410 420 20.1 -10.82

EJERCICIO 4.52 WARK GAS PERFECTO P1 1.5 V1 0.030 T1 300 P2 1.5 V2 0.060 T2 600 V3 0.120 T3 600 P2 0.75 Ru 8.314 N 0.0018 W1-2 -4.5 w1-2 -2494.2 w2-3 -3457.7 wtotal -5951.9

ENERGÉTICO A TEMPERATURA CONSTANTE (ΔU=0)

[kg] [kPa] [°C] [kPa.m^3/kmol.K] [kg/kmol] [kPa.m^3/kg.K] ático, isotérmico [m^3] [kJ] [W.h]

�_���=−(�+�_(�����.) ) 396.15

[K]

�_���=−(���) � �(�_�/ �_� )

5.4

[kJ]

200 325

[kPa] [K]

[kJ] [m^3]

[kg] [bar] [°C] [kPa.m^3/kmol.K] [kg/kmol] [kPa.m^3/kg.K] [kJ/kg] [kJ] [kJ] [kJ] [V] [s] [A]

[m^3]

�^�� 〖� _ _ �_ −�_�� �/��� 〗 _ =�_ _�

[m^3] [°C] [kPa] [kPa.m^3/kmol.K] [kg/kmol] [kPa.m^3/kg.K] [m^3] [kg] [m^3] [m^3] [m^3] [kPa] [N.m]

293.15

[K]

LISIS ENERGÉTICO A PRESIÓN CONSTANTE

[m^3] [kg] [kPa] [m^3] [kPa.m^3/kmol.K] [kg/kmol] [kPa.m^3/kg.K] [K] [K] [kJ]

90.57 36.02

u[kJ/kg] 3643.579 ESTADO 1 u[kJ/kg] 3083.464 ESTADO 2 [kJ] [kJ]

ESTADO 1

[°C] [°C]

ESTADO 1

ESTADO 2

[kJ] [kJ]

[kmol] [bar] [°C] [revolucion] [kPa.m^3/kmol.K] [kg/kmol] [kPa.m^3/kg.K] [m^3] [m^3] [K] [kJ/(kmol.K) [kJ/K] [kJ] [kJ] [kJ] [N.m]

[m^3] [kPa] [°C] [kPa.m^3/kmol.K] [kg/kmol] [kPa.m^3/kg.K] [kg]

200 293.15

[kPa] [K]

6283.185 [rad]

93.2875

[°C]

293.15

[K]

[m^3] [°C] [V] [A] [min] [kJ] [kJ] [kJ]

410.41

[K]

540

[s]

u[kJ/kg] 217.335 ESTADO 1 u[kJ/kg] 304.592 ESTADO 2 [kJ] [kJ] saliente

[bar] [m^3] [K] [bar] [m^3] [K] [m^3] [K] [bar] [kPa.m^3/kmol.K] [kmol] [kJ] [kJ/kmol] [kJ/kmol] [kJ/kmol]

150

[kPa]

150

[kPa]

75

[kPa]

ANÁLISIS ENERGÉTICO A VOLUMEN CONSTANTE NITROGENO (GAS IDEAL) T1 27 P2/P1 2.0 T1 54

[°C]

300.15

[°C]

327.15

N CONSTANTE

[K] [K]

SUSTANCIA INCOMPRE CALENTADOR RESISTENCIA ELÉCTR masa c ACEITE masa c T1 Voltaje Δt Intensidad Welec T2equil. ΔUresist. ΔUaceite Qoiltoamb Qrtoaceite

SUSTANCIA INCOMPRE magua T1 P Δt Pot. Motor mrueda c Wpaleta ui agua Ui agua Mcv.T1 IZQUIERDO ΔT

SUSTANCIA INCOMPRESIBLE 4.118 WARK ENTADOR RESISTENCIA ELÉCTRICA 0.7 [kg] 0.74 [kJ/kg.K] 2.4 2 20 220 1 2

[kg] [kJ/kg.K] [°C] [V] [min] [A]

26400 21.74 0.90 8.352 -17.15 -25.50

[J] [°C] [kJ] [kJ] [kJ] [kJ]

293.15

[K]

60

[s]

26.4 294.89

[kJ] [K]

SUSTANCIA INCOMPRESIBLE 4.130 WARK 6 [kg] 20 [°C] 293.15 1 [bar] 100 0.8 [h] 2880 240 [W] 0.4 [kg] 0.96 [kJ/kg.K] 691.200 [kJ] 83.1187 498.712 [kJ] 112.570 [kJ] 1302.482 26.9

[°C]

[K] [kPa] [s]

T2 45 45.05 45.1 45.2 45.2 45.25 45.3 45.35 45.4 45.45

ufinal 188.583 188.794 189.006 189.217 189.428 189.639 189.85 190.061 190.272 190.484

Uf agua 1131.498 1132.764 1134.0 1135.3 1136.6 1137.834 1139.1 1140.366 1141.632 1142.904

45.5 45.55 45.6 45.65 45.7 45.75 45.8 45.85 45.9 45.95 46 46.05 46.1 46.15 46.2 46.25 46.3 46.35 46.4 46.45 46.5 46.55 46.6 46.65 46.7 46.75 46.8 46.85 46.9 46.95 47 47.05 47.1 47.15 47.2 47.25 47.3 47.35 47.4 47.45 47.5 47.55 47.6 47.65 47.7

190.695 190.906 191.117 191.328 191.539 191.75 191.961 192.173 192.384 192.595 192.806 193.017 193.228 193.439 193.65 193.862 194.073 194.284 194.495 194.706 194.917 195.128 195.339 195.55 195.761 195.973 196.184 196.395 196.606 196.817 197.028 197.239 197.45 197.661 197.872 198.083 198.294 198.506 198.717 198.928 199.139 199.35 199.561 199.772 199.983

1144.17 1145.436 1146.702 1147.968 1149.234 1150.5 1151.766 1153.038 1154.304 1155.57 1156.836 1158.102 1159.368 1160.634 1161.9 1163.172 1164.438 1165.704 1166.97 1168.236 1169.502 1170.768 1172.034 1173.3 1174.566 1175.838 1177.104 1178.37 1179.636 1180.902 1182.168 1183.434 1184.7 1185.966 1187.232 1188.498 1189.764 1191.036 1192.302 1193.568 1194.834 1196.1 1197.366 1198.632 1199.898

47.75 47.8 47.85 47.9 47.95 48

200.194 200.405 200.616 200.827 201.038 201.249

1201.164 1202.43 1203.696 1204.962 1206.228 1207.494

Mcv.T2 LADO DERECHO ERROR % 122.170 1253.668 3.7478 122.189 1254.953 3.6491 122.2 1256.2 3.5500 122.2 1257.5 3.4513 122.2 1258.8 3.3526 122.266 1260.100 3.2540 122.285 1261.385 3.1553 122.304 1262.670 3.0566 122.323 1263.955 2.9579 122.342 1265.246 2.8588

NO NO NO NO NO NO NO NO NO NO

CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE

122.362 122.381 122.400 122.419 122.438 122.458 122.477 122.496 122.515 122.534 122.554 122.573 122.592 122.611 122.630 122.650 122.669 122.688 122.707 122.726 122.746 122.765 122.784 122.803 122.822 122.842 122.861 122.880 122.899 122.918 122.938 122.957 122.976 122.995 123.014 123.034 123.053 123.072 123.091 123.110 123.130 123.149 123.168 123.187 123.206

1266.532 1267.817 1269.102 1270.387 1271.672 1272.958 1274.243 1275.534 1276.819 1278.104 1279.390 1280.675 1281.960 1283.245 1284.530 1285.822 1287.107 1288.392 1289.677 1290.962 1292.248 1293.533 1294.818 1296.103 1297.388 1298.680 1299.965 1301.250 1302.535 1303.820 1305.106 1306.391 1307.676 1308.961 1310.246 1311.532 1312.817 1314.108 1315.393 1316.678 1317.964 1319.249 1320.534 1321.819 1323.104

2.7601 2.6615 2.5628 2.4641 2.3654 2.2668 2.1681 2.0690 1.9703 1.8716 1.7729 1.6743 1.5756 1.4769 1.3782 1.2791 1.1804 1.0818 0.9831 0.8844 0.7857 0.6871 0.5884 0.4897 0.3911 0.2919 0.1932 0.0946 0.0041 0.1028 0.2014 0.3001 0.3988 0.4975 0.5961 0.6948 0.7935 0.8926 0.9913 1.0900 1.1886 1.2873 1.3860 1.4847 1.5833

NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE NO CUMPLE

123.226 123.245 123.264 123.283 123.302 123.322

1324.390 1325.675 1326.960 1328.245 1329.530 1330.816

1.6820 1.7807 1.8794 1.9780 2.0767 2.1754

NO NO NO NO NO NO

CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE

SUSTANCIA INCOMPRESIBLE 4.128 WARK PLOMO masa T1Pb ALUMINIO T1Al Tf

2 [kg] -100

250 233 273.15

Cp [kJ/kg.K] 0.859 0.902 0.800

-173 -50 -100

Cp [kJ/kg.°C] 0.118 0.126 0.123

T [°C]

(m.cp.ΔT)Pb (cp.ΔT)Al masa Al

[K]

[°C] [°C]

273.15 233.15

[K] [K]

T [K]

T [°C]

PLOMO

T [K]

173.15

ALUMINIO

0 -40

[°C]

15.00 -32.77 0.46

Cp [kJ/kg.K] 200 0.797 250 0.859 233.15 0.838 Cp [kJ/kg.K] -50 0.126 -27 0.129 -40 0.127

[kJ] [kJ/kg] [kg]

R 134a

SUSTANCIA INCOMPRESIBLE 4.122 WARK REFRIGERANTE 134a Volumen 10 [litros] 0.01 [m^3] Presión 12 [bar] 1200 [kPa] Ti 0 [°C] 273.15 [K] Tf 40 [°C] 313.15 [K] GRUPO ELECTRÓNICO Cp 0.14 [kJ/kg.K] Ti 300 [°C] 573.15 [K] Tf 80 [°C] 353.15 [K] masaunitara 0.1 [kg] T [°C] Cp [kJ/kg.°C] T [°C] Cp [kJ/kg.K] -20 1.227 20 1.411 20 1.411 50 1.581 0 1.319 40 1.524 v134a m (m.cp.ΔT)R m/u(cp.ΔT)El

7.73E-04 12.94 735.66 -3.08

[m^3/kg] [kg]

v234a

Cantidad

238

SUSTANCIA INCOMPRESIBLE 4.123 WARK Nitrogeno V 0.03 Cp rec. acero 0.45 macero 6 Ti 27 Presión 6 Ru 8.314 M 28.013 R 0.297 n 120 Toque 3.15 Δt 30 Wrueda 71.251 mNitrogeno 0.202 Mcv.T1acero 810.405 T [K] CV- [kJ/kg.K] 300.15 0.743003 300 0.743 350 0.744 Mcv.T1-N2 45.06 IZQUIERDO

926.719

[m^3] [kJ/kg.K] [kg] [°C] [bar] [kPa.m^3/kmol.K] [kg/kmol] [kPa.m^3/kg.K] [rpm] [N.m] [min] [kJ] [kg] [kJ]

[kJ]

300.15 600

[K] [kPa]

12.57

[rad/s]

1800

[s]

T2 [K] 300 350 316 316.5 317 317.5 318 318.5 319 319.5 320 320.5 321 321.5 322 322.5 323 323.5 324 324.5

325 325.5 326 326.5 327 327.5 328 328.5

SUSTANCIA INCOMPRESIBLE 4.125 WARK 16 [kg] 60 [°C] 333.15 20 [°C] 293.15

masa Cu T Cu T H2O

P H2O 1 [bar] 100 T FINAL 21.24 [°C] 294.39 v H2O 1.00E-03 [m^3/kg] T H2O [K] cp- [kJ/kg.K] T H2O [K] cp- [kJ/kg.K] 293.15 4.184 294.39 4.183 290 4.186 290 4.186 300 4.179 300 4.179 T Cu [°C] cp- [kJ/kg.K] T Cu [°C] cp- [kJ/kg.K] 60 0.389 21.24 0.385 27 0.386 0 0.381 100 0.393 27 0.386 (ΔT)H2O (ΔT)Cu V

1.24 -38.76

[K] [K]

0.0461

[m^3]

SUSTANCIA INCOMPRESIBLE 4.127 WARK Cp A Cp B Cp C mA mB mC Ti A

2 4 7

[kJ/kg.°C] [kJ/kg.°C] [kJ/kg.°C]

5 2 1 20

[kg] [kg] [kg] [°C]

[K] [K] [kPa] [K]

Ti B Ti C

60 100

[°C] [°C]

(mCm)A (mCm)B (mCm)C TOTAL

10 8 7 25

[kJ/°C] [kJ/°C] [kJ/°C] [kJ/°C]

(mCmTi)A (mCmTi)B (mCmTi)C TOTAL

200 480 700 1380

[kJ] [kJ] [kJ] [kJ]

Tequilibrio

55.2

[°C]

FACTOR DE COMPRESIBILIDA Presión Ti Presión C Temperatura C Ru M R v (gas ideal) Tr Pr

Cp [kJ/kg.K] 0.8193

Tr Cp [kJ/kg.°C] 0.1250

1.1

1.15

1.1 1.15 1.1017 v (real) v(tablas)

Cp [kJ/kg.K] 1.4217

8.72E-04

[m^3/kg]

ufinal 0.743 0.744 0.74332 0.74333 0.74334 0.74335 0.74336 0.74337 0.74338 0.74339 0.7434 0.74341 0.74342 0.74343 0.74344 0.74345 0.74346 0.74347 0.74348 0.74349

Uf Nitrogeno 45.04 52.62 47.46 47.54 47.61 47.69 47.77 47.84 47.92 47.99 48.07 48.14 48.22 48.30 48.37 48.45 48.52 48.60 48.67 48.75

Mcv.T2 810.000 945.000 853.200 854.550 855.900 857.250 858.600 859.950 861.300 862.650 864.000 865.350 866.700 868.050 869.400 870.750 872.100 873.450 874.800 876.150

LADO DERECHO 855.04 997.62 900.66 902.09 903.51 904.94 906.37 907.79 909.22 910.64 912.07 913.49 914.92 916.35 917.77 919.20 920.62 922.05 923.47 924.90

0.7435 0.74351 0.74352 0.74353 0.74354 0.74355 0.74356 0.74357

48.83 48.90 48.98 49.05 49.13 49.20 49.28 49.36

877.500 878.850 880.200 881.550 882.900 884.250 885.600 886.950

926.33 927.75 929.18 930.60 932.03 933.45 934.88 936.31

FACTOR DE COMPRESIBILIDAD 4.100 WAK 200 [bar] 20000 440 [°C] 713.15 220.9 [kbar] 374.15 [°C] 647.3 8.314 [kPa.m^3/kmol.K] 18.016 [kg/kmol] 0.461 [kPa.m^3/kg.K] 0.0165 [m^3/kg] 34.6467248 1.1 0.9

[kPa] [K] [K]

Pr 0.8 1 0.9054 0.8 1 0.9054

0.7649 0.688 0.7243786781 0.8032 0.7443 0.7721635129

0.7244 0.7722 0.7260 0.01214 0.0122

0 0.9 0.75 [m^3/kg] 0.63071713 [m^3/kg]

0.6 0.8 0.738

TEMP. FINAL [°C] 26.85 76.85 42.85 43.35 43.85 44.35 44.85 45.35 45.85 46.35 46.85 47.35 47.85 48.35 48.85 49.35 49.85 50.35 50.85 51.35

ERROR % 7.7347 7.6505 2.8117 2.6578 2.5040 2.3501 2.1963 2.0425 1.8886 1.7348 1.5809 1.4271 1.2732 1.1194 0.9655 0.8117 0.6578 0.5040 0.3501 0.1962

NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO

CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE CUMPLE

51.85 52.35 52.85 53.35 53.85 54.35 54.85 55.35

0.0424 CUMPLE 0.1115 NO CUMPLE 0.2653 NO CUMPLE 0.4192 NO CUMPLE 0.5730 NO CUMPLE 0.7269 NO CUMPLE 0.8807 NO CUMPLE 1.0346 NO CUMPLE

EJERCICIO 5.2 WARK Fluido Oxígeno (O2) N tubos 200 Di 2 P_input 180 T_input 47 flujo mas. 5000 P_output 160 Vel_output 12.5 Ru 8.314 M 32 R 0.260 v_input 0.462 Area 0.063 Vel_input 10.2 T_output 348.24

[unidad] [cm] [kPa] [°C] [kg/h] [kPa] [m/s] [kPa.m^3/kmol.K] [kg/kmol] [kPa.m^3/kg.K] [m^3/kg] [m^2] [m/s] [K]

EJERCICIO 5.10 WARK Refrig. 134a flujo mas. 0.5 P_input 5 calidad 1 Vel_input 4 Asalida 0.9 P_output 4 T_output 60 v_input 0.040952 Ainput 8.5317E-005 v_output 0.063991 Vel_output 5.93

[m/s] [cm^2] [bar] [°C] [m^3/kg] [m^2] [m^3/kg] [m/s]

EJERCICIO 5.25 WARK Refrig. 134a flujo mas. 2 P_input 2.4 T_input 0 Vel_input 10 T_output 50 P_output 8

[kg/min] [bar] [°C] [m/s] [°C] [bar]

[kg/min] [bar]

0.02

[m]

320.15 1.389

[K] [kg/s]

75.1

[°C]

0.008

[kg/s]

9.00E-05

[m^2]

333.15

[K]

0.853

[cm^2]

0.033

[kg/s]

273.15

[K]

323.15

[K]

v_input v_output Di Vel_output

0.086 0.028 0.019 3.31

EJERCICIO 5.30 WARK Fluido Argon Monoatómico flujo mas. 2 T_input 500 T_output 400 P_input 5 P_output 1 Ai/Ao 2 Ru 8.314 M 39.94 R 0.208 cp 20.8 cp 0.521 v_input 0.208 v_output 0.833 h_input 260390.586 h_output 208312.469 Ainput 0.010 Aoutput 0.005 Vel_output 325.28 Vel_input 40.66

[m^3/kg] [m^3/kg] [m] [m/s]

[kg/s] [K] [K] [bar] [bar] [kPa.m^3/kmol.K] [kg/kmol] [kPa.m^3/kg.K] [kJ/kmol.K] [kJ/kg.K] [m^3/kg] [m^3/kg] [J/kg] [J/kg] [m^2] [m^2] [m/s] [m/s]

0.752

[inch]

500 100

[kPa] [kPa]

EJERCICIO 5.3 WARK Fluido aire flujo mas. 2.22 T_input 300 P_input 400 Vel_input 50 Ru 8.314 M 28.97 R 0.287 v_input 0.411 Di 0.152 T_output 240 P_output 380 Do 20 v_output 0.388 Area 0.031 Vel_output 27.4

[kg/s] [°C] [kPa] [m/s] [kPa.m^3/kmol.K] [kg/kmol] [kPa.m^3/kg.K] [m^3/kg] [m] [°C] [kPa] [cm] [m^3/kg] [m^2] [m/s]

EJERCICIO 5.15 WARK Fluido aire P_input 6 T_input 27 Ainput 35 Vel_input 60 P_output 5 T_output 50 Aoutput 20 Ru 8.314 M 28.97 R 0.287 v_input 0.144 v_output 0.185 flujo mas. 1.46 Vel_output 136

[bar] [°C] [cm^2] [m/s] [bar] [°C] [cm^2] [kPa.m^3/kmol.K] [kg/kmol] [kPa.m^3/kg.K] [m^3/kg] [m^3/kg] [kg/s] [m/s]

600 300.15 3.50E-03

[°C] [m^3/min] [cm] [cm]

293.15 1.67E-03 0.1 0.07

EJERCICIO 5.27 WARK T_input 20 Flujo Vol. 0.1 Di 10 Do 7 densidad rel. 0.9 v_agua 1.00E-03 den. Agua 9.98E+02

[m^3/kg] [kg/m^3]

573.15

513.15 0.2

500 323.15 2.00E-03

den. Aceite flujo masico Vel_input Vel_output

8.98E+02 1.50 0.212 0.433

[kg/s] [m/s] [m/s]

EJERCICIO 5.32 WARK Nitrógeno gaseoso flujo mas. 0.2 P_input 200 P_output 120 T_output 27 Asalida 10 Ru 8.314 M 28.01 R 0.297 v_output 0.742 Vel_output 148.5

[kg/s] [kPa] [kPa] [°C] [cm^2] [kPa.m^3/kmol.K] [kg/kmol] [kPa.m^3/kg.K] [m^3/kg] [m/s]

h-[kJ/kmol] 8727.4 8723 9014 ec_output h-[kJ/kmol] 9036.1 9014 9306 T_input ΔT

T [K] 300.15 300 310 11.02 T [K] 310.76 310 320 37.61 -10.61

300.15 1.00E-03

h[kJ/kg] 311.580 ESTADO 2 [kJ/kg] h[kJ/kg] 322.604 ESTADO 1

[°C]

[K]

[K]

EJERCICIO 5.8 WARK Refrig. 134a T_input 100 P_input 5 Vel_input 7 Di 0.1 P_output 0.6 Calidad 0.7 Do 0.2 v_input 0.058 v_output 0.218 flujo mas. 0.948 Vel_output 6.57

[m] [m^3/kg] [m^3/kg] [kg/s] [m/s]

EJERCICIO 5.17 WARK Dioxido de Carbono T_input 27 Vel_input 25 Ainput 4800 P_output 0.14 T_output 47 Vel_output 9 Aoutput 7500 Ru 8.314 M 44.01 R 0.189 v_output 0.432 flujo mas. 15.6 P_output 73.83

[°C] [m/s] [cm^2] [MPa] [°C] [m/s] [cm^2] [kPa.m^3/kmol.K] [kg/kmol] [kPa.m^3/kg.K] [m^3/kg] [kg/s] [kPa]

EJERCICIO 5.28 WARK Agua Flujo Vol. 0.2 T_input 20 P_input 1 Di 15 Do1 5 Do2 7 flujo 1 2 v_agua 1.00E-03 den. Agua 9.98E+02 flujo total 3.33

[m^3/min] [°C] [bar] [cm] [cm] [cm] [kg/s] [m^3/kg] [kg/m^3] [kg/s]

[°C] [bar] [m/s] [m] [bar]

[m]

[kPa] [K] [m^2] [kPa] [K] [m^2]

[K] [m^3/s] [m] [m]

flujo 2 Vinput Vout1 Vout2

[K] [m^2]

1.33 0.19 1.021 0.345

[kg/s] [m/s] [m/s] [m/s]

EJERCICIO 5.33 WARK Refrigerante 134a P_input 5 Vel_input 90 P_output 3.2 Calidad_out 1 Vel_output 177 h_output 249.523 v_output 0.063 h_output 261.138 T_input 293.313 Aoutput 6 flujo masico 1.68

[m/s] [kJ/kg] [m^3/kg] [kJ/kg] [K] [cm^2] [kg/s]

EJERCICIO 5.35 WARK P_input 3 T_input 200 Vel_input 50 P_output 2 T_input 150

[bar] [°C] [m/s] [bar] [°C]

h[kJ/kg] 424.5 421.26 431.43

T [K] 423.15 420 430

h[kJ/kg] 475.5 472.24 482.49

T [K] 473.15 470 480

Ru M R v_input v_output Vel_output A2/A1

8.314 28.97 0.287 0.453 0.607 323.3 0.207

[bar] [m/s] [bar]

ESTADO 2

ESTADO 1

[kPa.m^3/kmol.K] [kg/kmol] [kPa.m^3/kg.K] [m^3/kg] [m^3/kg] [m/s]

373.15

[K]

300.15

[K]

4.80E-01 140 320.15

[m^2] [kPa] [K]

7.50E-01

[m^2]

0.0738

[MPa]

3.33E-03 293.15 100 0.15 0.05 0.07

[m^3/s] [K] [kPa] [m] [m] [m]

EJERCICIO 5.9 WARK Vapor de Agua T_input 500 P_input 60 Vel_input 100 Di 0.6 P_output 0.6 Calidad 1 Do 4.5 v_input 0.057 v_output 2.732 flujo mas. 499.088 Vel_output 85.7

EJERCICIO 5.20 WARK Agua Di 2.5 T_input 20 P_output 0.2 Do 0.6 Vel_output 6 v_input 0.001 Aent 4.91E-04 Aout 2.83E-05 flujo masico 0.169 V_input 0.346

500

[kPa]

320

[kPa]

20 6.00E-04

[°C] [m^2]

300 473.15

[kPa] [K]

200 423.15

[kPa] [K]

[°C] [bar] [m/s] [m] [bar] [m] [m^3/kg] [m^3/kg] [kg/s] [m/s]

[cm] [°C] [MPa] [cm] [m/s] [m^3/kg] [m^2] [m^2] [kg/s] [m/s]

773.15

[K]

1.80E+06

[kg/h]

0.025 293.15 200 0.006

[m] [K] [kPa] [m]