A vapor compression cycle removes 420 kW of heat from a refrigerated space. The upper and lower pressures of the cycle are 8 and 1.6 bar respectively. Calculate the minimum work of the compressor in kW. a.96.44 b.75.55 c.84.42 d.101.84

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A vapor compression cycle removes 420 kW of heat from a refrigerated space. The upper and lower pressures of the cycle are 8 and 1.6 bar respectively. Calculate the minimum work of the compressor in kW.

a.96.44
b.75.55
c.84.42
d.101.84
 
 
Press., Sat.
P
kPa
temp.,
Trat "C
Specific volume,
m³/kg
Sat.
liquid,
V₂
Sat.
vapor,
V8
Internal energy.
kJ/kg
Enthalpy,
kJ/kg
Sat.
Sat.
Sat.
liquid, Evap., vapor, liquid, Evap..
Ung U₂
4₁
h₂
M
Sat.
Sat.
vapor, liquid,
M₂ 5₂
Entropy,
kJ/kg-K
Evap..
5%8
Sat.
vapor,
$₂
60 -36.95
0.0007097 0.31108
70 -33.87 0.0007143 0.26921
3.795 205.34 209.13 3.837 223.96 227.80 0.01633 0.94812 0.96445
7.672 203.23 210.90 7.722 222.02 229.74 0.03264 0.92783 0.96047
80 -31.13 0.0007184 0.23749 11.14 201.33 212.48 11.20 220.27 231.47 0.04707 0.91009 0.95716
90 -28.65 0.0007222 0.21261 14.30 199.60 213.90 14.36 218.67 233.04 0.06003 0.89431 0.95434
100 26.37 0.0007258 0.19255 17.19 198.01 215.21 17.27 217.19 234.46 0.07182 0.88008 0.95191
120 -22.32 0.0007323 0.16216 22.38 195.15 217.53 22.47 214.52 236.99 0.09269 0.85520 0.94789
140 -18.77 0.0007381 0.14020 26.96 192.60 219.56 27.06 212.13 239.19 0.11080 0.83387 0.94467
160 -15.60 0.0007435 0.12355 31.06 190.31 221.37 31.18 209.96 241.14 0.12686 0.81517 0.94202
180 -12.73 0.0007485 0.11049
34.81
188.20 223.01 34.94 207.95 242.90 0.14131 0.79848 0.93979
200 -10.09 0.0007532 0.099951 38.26 186.25 224.51 38.41 206.09 244.50 0.15449 0.78339 0.93788
600 21.55 0.0008198 0.034335 81.01 160.84 241.86 81.50 180.95 262.46 0.30799 0.61398 0.92196
650 24.20 0.0008265 0.031680 84.72 158.51 243.23 85.26 178.56 263.82 0.32052 0.60048 0.92100
700 26.69 0.0008331 0.029392 88.24 156.27 244.51 88.82 176.26 265.08 0.33232 0.58780 0.92012
750 29.06 0.0008395 0.027398 91.59 154.11 245.70 92.22 174.03 266.25 0.34348 0.57582 0.91930
800 31.31 0.0008457 0.025645 94.80 152.02 246.82 95.48 171.86 267.34 0.35408 0.56445 0.91853
850 33.45 0.0008519 0.024091 97.88 150.00 247.88 98.61 169.75 268.36 0.36417 0.55362 0.91779
900 35.51 0.0008580 0.022703 100.84 148.03 248.88 101.62 167.69 269.31 0.37383 0.54326 0.91709
950
37.48 0.0008640 0.021456 103.70 146.11 249.82 104.52 165.68 270.20 0.38307 0.53333 0.91641
1000 39.37 0.0008700 0.020329 106.47 144.24 250.71 107.34 163.70 271.04 0.39196 0.52378 0.91574
Transcribed Image Text:Press., Sat. P kPa temp., Trat "C Specific volume, m³/kg Sat. liquid, V₂ Sat. vapor, V8 Internal energy. kJ/kg Enthalpy, kJ/kg Sat. Sat. Sat. liquid, Evap., vapor, liquid, Evap.. Ung U₂ 4₁ h₂ M Sat. Sat. vapor, liquid, M₂ 5₂ Entropy, kJ/kg-K Evap.. 5%8 Sat. vapor, $₂ 60 -36.95 0.0007097 0.31108 70 -33.87 0.0007143 0.26921 3.795 205.34 209.13 3.837 223.96 227.80 0.01633 0.94812 0.96445 7.672 203.23 210.90 7.722 222.02 229.74 0.03264 0.92783 0.96047 80 -31.13 0.0007184 0.23749 11.14 201.33 212.48 11.20 220.27 231.47 0.04707 0.91009 0.95716 90 -28.65 0.0007222 0.21261 14.30 199.60 213.90 14.36 218.67 233.04 0.06003 0.89431 0.95434 100 26.37 0.0007258 0.19255 17.19 198.01 215.21 17.27 217.19 234.46 0.07182 0.88008 0.95191 120 -22.32 0.0007323 0.16216 22.38 195.15 217.53 22.47 214.52 236.99 0.09269 0.85520 0.94789 140 -18.77 0.0007381 0.14020 26.96 192.60 219.56 27.06 212.13 239.19 0.11080 0.83387 0.94467 160 -15.60 0.0007435 0.12355 31.06 190.31 221.37 31.18 209.96 241.14 0.12686 0.81517 0.94202 180 -12.73 0.0007485 0.11049 34.81 188.20 223.01 34.94 207.95 242.90 0.14131 0.79848 0.93979 200 -10.09 0.0007532 0.099951 38.26 186.25 224.51 38.41 206.09 244.50 0.15449 0.78339 0.93788 600 21.55 0.0008198 0.034335 81.01 160.84 241.86 81.50 180.95 262.46 0.30799 0.61398 0.92196 650 24.20 0.0008265 0.031680 84.72 158.51 243.23 85.26 178.56 263.82 0.32052 0.60048 0.92100 700 26.69 0.0008331 0.029392 88.24 156.27 244.51 88.82 176.26 265.08 0.33232 0.58780 0.92012 750 29.06 0.0008395 0.027398 91.59 154.11 245.70 92.22 174.03 266.25 0.34348 0.57582 0.91930 800 31.31 0.0008457 0.025645 94.80 152.02 246.82 95.48 171.86 267.34 0.35408 0.56445 0.91853 850 33.45 0.0008519 0.024091 97.88 150.00 247.88 98.61 169.75 268.36 0.36417 0.55362 0.91779 900 35.51 0.0008580 0.022703 100.84 148.03 248.88 101.62 167.69 269.31 0.37383 0.54326 0.91709 950 37.48 0.0008640 0.021456 103.70 146.11 249.82 104.52 165.68 270.20 0.38307 0.53333 0.91641 1000 39.37 0.0008700 0.020329 106.47 144.24 250.71 107.34 163.70 271.04 0.39196 0.52378 0.91574
T
"C
m³/kg
60
70
u
h
S
kJ/kg kJ/kg kJ/kg-K
P-0.80 MPa (T-31.31°C)
Sat. 0.025645 246.82 267.34 0.9185
40 0.027035 254.84 276.46 0.9481
50 0.028547 263.87 286.71 0.9803
0.029973 272.85 296.82 1.0111
0.031340 281.83 306.90 1.0409
80 0.032659 290.86 316.99 1.0699
90 0.033941 299.97 327.12 1.0982
100 0.035193 309.17 337.32 1.1259
110 0.036420 318.47 347.61 1.1531
120 0.037625 327.89 357.99 1.1798
130 0.038813 337.42 368.47 1.2062
140 0.039985 347.08 379.07 1.2321
150 0.041143 356.86 389.78 1.2577
160 0.042290 366.78 400.61 1.2830
170 0.043427 376.83 411.57 1.3081
180 0.044554 387.01 422.65 1.3328
V
U
h
S
m3/kg kJ/kg kJ/kg kJ/kg-K
P-0.90 MPa (T-35.51°C)
0.022686 248.82 269.25 0.9169
0.023375 253.15 274.19 0.9328
0.024809 262.46 284.79 0.9661
0.026146 271.62 295.15 0.9977
0.027413 280.74 305.41 1.0280
0.028630 289.88 315.65 1.0574
0.029806 299.08 325.90 1.0861
0.030951 308.35 336.21 1.1141
0.032068 317.72 346.58 1.1415
0.033164 327.19 357.04 1.1684
0.034241 336.78 367.59 1.1949
0.035302 346.48 378.25 1.2211
0.036349 356.30 389.01 1.2468
0.037384 366.25 399.89 1.2722
0.038408 376.33 410.89 1.2973
0.039423 386.54 422.02 1.3221
Transcribed Image Text:T "C m³/kg 60 70 u h S kJ/kg kJ/kg kJ/kg-K P-0.80 MPa (T-31.31°C) Sat. 0.025645 246.82 267.34 0.9185 40 0.027035 254.84 276.46 0.9481 50 0.028547 263.87 286.71 0.9803 0.029973 272.85 296.82 1.0111 0.031340 281.83 306.90 1.0409 80 0.032659 290.86 316.99 1.0699 90 0.033941 299.97 327.12 1.0982 100 0.035193 309.17 337.32 1.1259 110 0.036420 318.47 347.61 1.1531 120 0.037625 327.89 357.99 1.1798 130 0.038813 337.42 368.47 1.2062 140 0.039985 347.08 379.07 1.2321 150 0.041143 356.86 389.78 1.2577 160 0.042290 366.78 400.61 1.2830 170 0.043427 376.83 411.57 1.3081 180 0.044554 387.01 422.65 1.3328 V U h S m3/kg kJ/kg kJ/kg kJ/kg-K P-0.90 MPa (T-35.51°C) 0.022686 248.82 269.25 0.9169 0.023375 253.15 274.19 0.9328 0.024809 262.46 284.79 0.9661 0.026146 271.62 295.15 0.9977 0.027413 280.74 305.41 1.0280 0.028630 289.88 315.65 1.0574 0.029806 299.08 325.90 1.0861 0.030951 308.35 336.21 1.1141 0.032068 317.72 346.58 1.1415 0.033164 327.19 357.04 1.1684 0.034241 336.78 367.59 1.1949 0.035302 346.48 378.25 1.2211 0.036349 356.30 389.01 1.2468 0.037384 366.25 399.89 1.2722 0.038408 376.33 410.89 1.2973 0.039423 386.54 422.02 1.3221
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