A commercial refrigerator with refrigerant (R-22) as the working fluid is used to keep the refrigerated space at -25 °C by rejecting waste heat to cooling water that enters the condenser at 16 °C at a rate of 0.3 Kg/s and leaves at 36 °C. The refrigerant enters the condenser at 12 bar and 50 °C and leaves at the same pressure subcooled by 8.25 °C. if the compressor consumes 8 kW of power, determine the following using Michael J.Moran Tables: The mass flow rate of the refrigerant The refrigeration load The CoP The minimum power input to the compressor for the same refrigeration load

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 commercial refrigerator with refrigerant (R-22) as the working fluid is used to keep the refrigerated space at -25 °C by rejecting waste heat to cooling water that enters the condenser at 16 °C at a rate of 0.3 Kg/s and leaves at 36 °C. The refrigerant enters the condenser at 12 bar and 50 °C and leaves at the same pressure subcooled by 8.25 °C. if the compressor consumes 8 kW of power, determine the following using Michael J.Moran Tables:

The mass flow rate of the refrigerant
The refrigeration load
The CoP
The minimum power input to the compressor for the same refrigeration load

Cooling
water
36°C
12 bar
8.25 °C
subcooled
Turbine
Cooling
water
16 °C
Condensor
Evaporator
12 bar
50 °C
Compressor
Transcribed Image Text:Cooling water 36°C 12 bar 8.25 °C subcooled Turbine Cooling water 16 °C Condensor Evaporator 12 bar 50 °C Compressor
TABLE A-7 Properties of Saturated Refrigerant 22 (Liquid-Vapor): Temperature Table
Specific Volume
m³/kg
Internal Energy
kJ/kg
Pressure Conversions:
1 bar = 0.1 MPa
= 10² kPa
Temp.
°℃
-60
-50
-45
-40
-36
-32
-30
-28
-26
-22
-20
-18
-16
-14
-12
-10
-8
-6
-4
-2
0
2
4
6
8
10
12
16
20
24
28
32
36
40
45
50
60
Press.
bar
0.3749
0.6451
0.8290
1.0522
1.2627
1.5049
1.6389
1.7819
1.9345
2.2698
2.4534
2.6482
2.8547
3.0733
3.3044
3.5485
3.8062
4.0777
4.3638
4.6647
4.9811
5.3133
5.6619
6.0275
6.4105
6.8113
7.2307
8.1268
9.1030
10.164
11.313
12.556
13.897
15.341
17.298
19.433
24.281
Sat. Sat.
Liquid Vapor
UfX10³
Vg
0.6833 0.5370
0.6966 0.3239
0.7037 0.2564
0.7109 0.2052
0.7169 0.1730
0.7231 0.1468
0.7262 0.1355
0.7294 0.1252
0.7327 0.1159
0.7393 0.0997
0.7427 0.0926
0.7462 0.0861
0.7497 0.0802
0.7533 0.0748
0.7569 0.0698
0.7606 0.0652
0.7644 0.0610
0.7683 0.0571
0.7722
0.0535
0.7762 0.0501
0.7803 0.0470
0.7844 0.0442
0.7887 0.0415
0.7930 0.0391
0.7974 0.0368
0.8020 0.0346
0.8066 0.0326
0.8162 0.0291
0.8263 0.0259
0.8369 0.0232
0.8480 0.0208
0.8599 0.0186
0.8724 0.0168
0.8858 0.0151
0.9039 0.0132
0.9238 0.0116
0.9705 0.0089
Sat.
Liquid
Sat.
Vapor
U₁
Ug
-21.57 203.67
-10.89 207.70
-5.50 209.70
-0.07 211.68
4.29 213.25
8.68 214.80
10.88 215.58
13.09 216.34
15.31 217.11
19.76 218.62
21.99 219.37
24.23 220.11
26.48 220.85
28.73 221.58
31.00 222.30
33.27 223.02
35.54 223.73
37.83 224.43
40.12 225.13
42.42 225.82
44.73 226.50
47.04 227.17
49.37 227.83
51.71 228.48
54.05 229.13
56.40 229.76
58.77 230.38
63.53 231.59
68.33 232.76
73.19 233.87
78.09 234.92
83.06 235.91
88.08 236.83
93.18 237.66
99.65 238.59
106.26 239.34
120.00 240.24
Enthalpy
kJ/kg
Sat.
Vapor
h₂
Sat.
Liquid Evap.
h₁ hfg
-21.55 245.35 223.81
-10.85 239.44
228.60
-5.44 236.39 230.95
0.00 233.27 233.27
4.38 230.71 235.09
8.79 228.10 236.89
11.00
226.77 237.78
13.22 225.43 238.66
15.45 224.08 239.53
19.92 221.32 241.24
22.17 219.91 242.09
24.43 218.49 242.92
26.69 217.05 243.74
28.97 215.59 244.56
31.25 214.11 245.36
33.54 212.62 246.15
35.83 211.10 246.93
38.14 209.56 247.70
40.46 208.00 248.45
42.78 206.41 249.20
45.12 204.81 249.92
47.46 203.18 250.64
49.82 201.52 251.34
52.18 199.84 252.03
54.56 198.14 252.70
56.95 196.40 253.35
59.35 194.64 253.99
64.19 191.02 255.21
69.09 187.28 256.37
74.04 183.40 257.44
79.05 179.37 258.43
84.14 175.18 259.32
89.29 170.82 260.11
94.53 166.25 260.79
101.21 160.24 261.46
108.06 153.84 261.90
122.35 139.61 261.96
Entropy
kJ/kg. K
Sat. Sat.
Liquid Vapor
Sf
Sg
-0.0964 1.0547
-0.0474 1.0256
-0.0235 1.0126
0.0000 1.0005
0.0186 0.9914
0.0369 0.9828
0.0460 0.9787
0.0551 0.9746
0.0641 0.9707
0.0819 0.9631
0.0908 0.9595
0.0996 0.9559
0.1084 0.9525
0.1171 0.9490
0.1258 0.9457
0.1345 0.9424
0.1431 0.9392
0.1517 0.9361
0.1602 0.9330
0.1688 0.9300
0.1773 0.9271
0.1857 0.9241
0.1941 0.9213
0.2025 0.9184
0.2109 0.9157
0.2193 0.9129
0.2276 0.9102
0.2442 0.9048
0.2607 0.8996
0.2772 0.8944
0.2936 0.8893
0.3101 0.8842
0.3265 0.8790
0.3429 0.8738
0.3635 0.8672
0.3842 0.8603
0.4264 0.8455
Temp.
°℃
-60
-50
-45
-40
-36
-32
-30
-28
-26
-22
-20
-18
-16
-14
-12
-10
-8
-6
-4
-2
0
2
4
6
8
10
26
12
16
20
24
28
32
S
36
40
45
50
60
R-22
TABLE A-8 Properties of Saturated Refrigerant 22 (Liquid-Vapor): Pressure Table
Pressure Conversions: Specific Volume
m³/kg
1 bar = 0.1 MPa
= 10² kPa
Press.
bar
0.40
0.50
0.60
0.70
0.80
0.90
1.00
1.25
1.50
1.75
2.00
2.25
2.50
2.75
3.00
3.25
3.50
3.75
4.00
4.25
4.50
4.75
5.00
5.25
5.50
5.75
6.00
7.00
8.00
9.00
10.00
12.00
14.00
16.00
18.00
20.00
24.00
Temp.
°℃
-58.86
-54.83
-51.40
-48.40
-45.73
-43.30
-41.09
-36.23
-32.08
-28.44
-25.18
-22.22
-19.51
-17.00
-14.66
-12.46
-10.39
-8.43
-6.56
-4.78
-3.08
-1.45
0.12
1.63
3.08
4.49
5.85
10.91
15.45
19.59
23.40
30.25
36.29
41.73
46.69
51.26
59.46
Sat.
Sat.
Liquid Vapor
V₂ x 10³
Vg
0.6847 0.5056
0.6901 0.4107
0.6947 0.3466
0.6989
0.3002
0.7026 0.2650
0.7061 0.2374
0.7093 0.2152
0.7166 0.1746
0.7230 0.1472
0.7287 0.1274
0.7340 0.1123
0.7389 0.1005
0.7436 0.0910
0.7479 0.0831
0.7521 0.0765
0.7561 0.0709
0.7599 0.0661
0.7636
0.0618
0.7672 0.0581
0.7706 0.0548
0.7740 0.0519
0.7773 0.0492
0.7805 0.0469
0.7836 0.0447
0.7867 0.0427
0.7897 0.0409
0.7927 0.0392
0.8041 0.0337
0.8149 0.0295
0.8252 0.0262
0.8352 0.0236
0.8546 0.0195
0.8734 0.0166
0.8919 0.0144
0.9104 0.0127
0.9291 0.0112
0.9677 0.0091
Internal Energy
kJ/kg
Sat. Sat.
Liquid Vapor
U₁
Ug
-20.36 204.13
-16.07 205.76
-12.39 207.14
-9.17 208.34
-6.28 209.41
-3.66 210.37
-1.26 211.25
4.04 213.16
8.60 214.77
12.61
216.18
16.22 217.42
19.51 218.53
22.54 219.55
25.36 220.48
27.99 221.34
30.47 222.13
32.82 222.88
35.06 223.58
37.18 224.24
39.22 224.86
41.17 225.45
43.05 226.00
44.86 226.54
46.61 227.04
48.30 227.53
49.94 227.99
51.53 228.44
57.48
230.04
62.88 231.43
67.84 232.64
72.46 233.71
80.87 235.48
88.45 236.89
95.41 238.00
101.87 238.86
107.95 239.51
119.24 240.22
Enthalpy
kJ/kg
Sat.
Sat.
Liquid Evap. Vapor
h₁ hfg h₂
-20.34 244.69 224.36
-16.03 242.33 226.30
-12.35 240.28 227.93
-9.12 238.47 229.35
-6.23 236.84 230.61
-3.60 235.34 231.74
-1.19 233.95 232.77
4.13 230.86 234.99
8.70 228.15 236.86
12.74
225.73
238.47
16.37 223.52 239.88
19.67 221.47 241.15
22.72 219.57 242.29
25.56 217.77 243.33
28.22 216.07 244.29
30.72 214.46 245.18
33.09 212.91 246.00
35.34 211.42 246.77
37.49 209.99 247.48
39.55 208.61 248.16
41.52 207.27 248.80
43.42 205.98 249.40
45.25 204.71 249.97
47.02 203.48 250.51
48.74 202.28 251.02
50.40 201.11 251.51
52.01 199.97 251.98
58.04 195.60 253.64
63.53 191.52 255.05
68.59 187.67 256.25
73.30 183.99 257.28
81.90 177.04 258.94
89.68 170.49 260.16
96.83 164.21 261.04
103.51 158.13 261.64
109.81 152.17 261.98
121.56 140.43 261.99
Entropy
kJ/kg . K
Sat.
Liquid
Sat.
Vapor
Sf
Sg
-0.0907 1.0512
-0.0709 1.0391
-0.0542 1.0294
-0.0397 1.0213
-0.0270 1.0144
-0.0155 1.0084
-0.0051 1.0031
0.0175 0.9919
0.0366 0.9830
0.0531 0.9755
0.0678 0.9691
0.0809 0.9636
0.0930 0.9586
0.1040 0.9542
0.1143 0.9502
0.1238 0.9465
0.1328 0.9431
0.1413 0.9399
0.1493 0.9370
0.1569 0.9342
0.1642 0.9316
0.1711 0.9292
0.1777 0.9269
0.1841 0.9247
0.1903 0.9226
0.1962 0.9206
0.2019 0.9186
0.2231 0.9117
0.2419 0.9056
0.2591 0.9001
0.2748 0.8952
0.3029 0.8864
0.3277 0.8786
0.3500 0.8715
0.3705 0.8649
0.3895 0.8586
0.4241 0.8463
Press.
bar
0.40
0.50
0.60
0.70
0.80
0.90
1.00
1.25
1.50
1.75
2.00
2.25
2.50
2.75
3.00
3.25
3.50
3.75
4.00
4.25
4.50
4.75
5.00
5.25
5.50
5.75
6.00
7.00
8.00
9.00
10.00
12.00
14.00
16.00
18.00
20.00
24.00
Transcribed Image Text:TABLE A-7 Properties of Saturated Refrigerant 22 (Liquid-Vapor): Temperature Table Specific Volume m³/kg Internal Energy kJ/kg Pressure Conversions: 1 bar = 0.1 MPa = 10² kPa Temp. °℃ -60 -50 -45 -40 -36 -32 -30 -28 -26 -22 -20 -18 -16 -14 -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 16 20 24 28 32 36 40 45 50 60 Press. bar 0.3749 0.6451 0.8290 1.0522 1.2627 1.5049 1.6389 1.7819 1.9345 2.2698 2.4534 2.6482 2.8547 3.0733 3.3044 3.5485 3.8062 4.0777 4.3638 4.6647 4.9811 5.3133 5.6619 6.0275 6.4105 6.8113 7.2307 8.1268 9.1030 10.164 11.313 12.556 13.897 15.341 17.298 19.433 24.281 Sat. Sat. Liquid Vapor UfX10³ Vg 0.6833 0.5370 0.6966 0.3239 0.7037 0.2564 0.7109 0.2052 0.7169 0.1730 0.7231 0.1468 0.7262 0.1355 0.7294 0.1252 0.7327 0.1159 0.7393 0.0997 0.7427 0.0926 0.7462 0.0861 0.7497 0.0802 0.7533 0.0748 0.7569 0.0698 0.7606 0.0652 0.7644 0.0610 0.7683 0.0571 0.7722 0.0535 0.7762 0.0501 0.7803 0.0470 0.7844 0.0442 0.7887 0.0415 0.7930 0.0391 0.7974 0.0368 0.8020 0.0346 0.8066 0.0326 0.8162 0.0291 0.8263 0.0259 0.8369 0.0232 0.8480 0.0208 0.8599 0.0186 0.8724 0.0168 0.8858 0.0151 0.9039 0.0132 0.9238 0.0116 0.9705 0.0089 Sat. Liquid Sat. Vapor U₁ Ug -21.57 203.67 -10.89 207.70 -5.50 209.70 -0.07 211.68 4.29 213.25 8.68 214.80 10.88 215.58 13.09 216.34 15.31 217.11 19.76 218.62 21.99 219.37 24.23 220.11 26.48 220.85 28.73 221.58 31.00 222.30 33.27 223.02 35.54 223.73 37.83 224.43 40.12 225.13 42.42 225.82 44.73 226.50 47.04 227.17 49.37 227.83 51.71 228.48 54.05 229.13 56.40 229.76 58.77 230.38 63.53 231.59 68.33 232.76 73.19 233.87 78.09 234.92 83.06 235.91 88.08 236.83 93.18 237.66 99.65 238.59 106.26 239.34 120.00 240.24 Enthalpy kJ/kg Sat. Vapor h₂ Sat. Liquid Evap. h₁ hfg -21.55 245.35 223.81 -10.85 239.44 228.60 -5.44 236.39 230.95 0.00 233.27 233.27 4.38 230.71 235.09 8.79 228.10 236.89 11.00 226.77 237.78 13.22 225.43 238.66 15.45 224.08 239.53 19.92 221.32 241.24 22.17 219.91 242.09 24.43 218.49 242.92 26.69 217.05 243.74 28.97 215.59 244.56 31.25 214.11 245.36 33.54 212.62 246.15 35.83 211.10 246.93 38.14 209.56 247.70 40.46 208.00 248.45 42.78 206.41 249.20 45.12 204.81 249.92 47.46 203.18 250.64 49.82 201.52 251.34 52.18 199.84 252.03 54.56 198.14 252.70 56.95 196.40 253.35 59.35 194.64 253.99 64.19 191.02 255.21 69.09 187.28 256.37 74.04 183.40 257.44 79.05 179.37 258.43 84.14 175.18 259.32 89.29 170.82 260.11 94.53 166.25 260.79 101.21 160.24 261.46 108.06 153.84 261.90 122.35 139.61 261.96 Entropy kJ/kg. K Sat. Sat. Liquid Vapor Sf Sg -0.0964 1.0547 -0.0474 1.0256 -0.0235 1.0126 0.0000 1.0005 0.0186 0.9914 0.0369 0.9828 0.0460 0.9787 0.0551 0.9746 0.0641 0.9707 0.0819 0.9631 0.0908 0.9595 0.0996 0.9559 0.1084 0.9525 0.1171 0.9490 0.1258 0.9457 0.1345 0.9424 0.1431 0.9392 0.1517 0.9361 0.1602 0.9330 0.1688 0.9300 0.1773 0.9271 0.1857 0.9241 0.1941 0.9213 0.2025 0.9184 0.2109 0.9157 0.2193 0.9129 0.2276 0.9102 0.2442 0.9048 0.2607 0.8996 0.2772 0.8944 0.2936 0.8893 0.3101 0.8842 0.3265 0.8790 0.3429 0.8738 0.3635 0.8672 0.3842 0.8603 0.4264 0.8455 Temp. °℃ -60 -50 -45 -40 -36 -32 -30 -28 -26 -22 -20 -18 -16 -14 -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 26 12 16 20 24 28 32 S 36 40 45 50 60 R-22 TABLE A-8 Properties of Saturated Refrigerant 22 (Liquid-Vapor): Pressure Table Pressure Conversions: Specific Volume m³/kg 1 bar = 0.1 MPa = 10² kPa Press. bar 0.40 0.50 0.60 0.70 0.80 0.90 1.00 1.25 1.50 1.75 2.00 2.25 2.50 2.75 3.00 3.25 3.50 3.75 4.00 4.25 4.50 4.75 5.00 5.25 5.50 5.75 6.00 7.00 8.00 9.00 10.00 12.00 14.00 16.00 18.00 20.00 24.00 Temp. °℃ -58.86 -54.83 -51.40 -48.40 -45.73 -43.30 -41.09 -36.23 -32.08 -28.44 -25.18 -22.22 -19.51 -17.00 -14.66 -12.46 -10.39 -8.43 -6.56 -4.78 -3.08 -1.45 0.12 1.63 3.08 4.49 5.85 10.91 15.45 19.59 23.40 30.25 36.29 41.73 46.69 51.26 59.46 Sat. Sat. Liquid Vapor V₂ x 10³ Vg 0.6847 0.5056 0.6901 0.4107 0.6947 0.3466 0.6989 0.3002 0.7026 0.2650 0.7061 0.2374 0.7093 0.2152 0.7166 0.1746 0.7230 0.1472 0.7287 0.1274 0.7340 0.1123 0.7389 0.1005 0.7436 0.0910 0.7479 0.0831 0.7521 0.0765 0.7561 0.0709 0.7599 0.0661 0.7636 0.0618 0.7672 0.0581 0.7706 0.0548 0.7740 0.0519 0.7773 0.0492 0.7805 0.0469 0.7836 0.0447 0.7867 0.0427 0.7897 0.0409 0.7927 0.0392 0.8041 0.0337 0.8149 0.0295 0.8252 0.0262 0.8352 0.0236 0.8546 0.0195 0.8734 0.0166 0.8919 0.0144 0.9104 0.0127 0.9291 0.0112 0.9677 0.0091 Internal Energy kJ/kg Sat. Sat. Liquid Vapor U₁ Ug -20.36 204.13 -16.07 205.76 -12.39 207.14 -9.17 208.34 -6.28 209.41 -3.66 210.37 -1.26 211.25 4.04 213.16 8.60 214.77 12.61 216.18 16.22 217.42 19.51 218.53 22.54 219.55 25.36 220.48 27.99 221.34 30.47 222.13 32.82 222.88 35.06 223.58 37.18 224.24 39.22 224.86 41.17 225.45 43.05 226.00 44.86 226.54 46.61 227.04 48.30 227.53 49.94 227.99 51.53 228.44 57.48 230.04 62.88 231.43 67.84 232.64 72.46 233.71 80.87 235.48 88.45 236.89 95.41 238.00 101.87 238.86 107.95 239.51 119.24 240.22 Enthalpy kJ/kg Sat. Sat. Liquid Evap. Vapor h₁ hfg h₂ -20.34 244.69 224.36 -16.03 242.33 226.30 -12.35 240.28 227.93 -9.12 238.47 229.35 -6.23 236.84 230.61 -3.60 235.34 231.74 -1.19 233.95 232.77 4.13 230.86 234.99 8.70 228.15 236.86 12.74 225.73 238.47 16.37 223.52 239.88 19.67 221.47 241.15 22.72 219.57 242.29 25.56 217.77 243.33 28.22 216.07 244.29 30.72 214.46 245.18 33.09 212.91 246.00 35.34 211.42 246.77 37.49 209.99 247.48 39.55 208.61 248.16 41.52 207.27 248.80 43.42 205.98 249.40 45.25 204.71 249.97 47.02 203.48 250.51 48.74 202.28 251.02 50.40 201.11 251.51 52.01 199.97 251.98 58.04 195.60 253.64 63.53 191.52 255.05 68.59 187.67 256.25 73.30 183.99 257.28 81.90 177.04 258.94 89.68 170.49 260.16 96.83 164.21 261.04 103.51 158.13 261.64 109.81 152.17 261.98 121.56 140.43 261.99 Entropy kJ/kg . K Sat. Liquid Sat. Vapor Sf Sg -0.0907 1.0512 -0.0709 1.0391 -0.0542 1.0294 -0.0397 1.0213 -0.0270 1.0144 -0.0155 1.0084 -0.0051 1.0031 0.0175 0.9919 0.0366 0.9830 0.0531 0.9755 0.0678 0.9691 0.0809 0.9636 0.0930 0.9586 0.1040 0.9542 0.1143 0.9502 0.1238 0.9465 0.1328 0.9431 0.1413 0.9399 0.1493 0.9370 0.1569 0.9342 0.1642 0.9316 0.1711 0.9292 0.1777 0.9269 0.1841 0.9247 0.1903 0.9226 0.1962 0.9206 0.2019 0.9186 0.2231 0.9117 0.2419 0.9056 0.2591 0.9001 0.2748 0.8952 0.3029 0.8864 0.3277 0.8786 0.3500 0.8715 0.3705 0.8649 0.3895 0.8586 0.4241 0.8463 Press. bar 0.40 0.50 0.60 0.70 0.80 0.90 1.00 1.25 1.50 1.75 2.00 2.25 2.50 2.75 3.00 3.25 3.50 3.75 4.00 4.25 4.50 4.75 5.00 5.25 5.50 5.75 6.00 7.00 8.00 9.00 10.00 12.00 14.00 16.00 18.00 20.00 24.00
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