refrigerator with tetrafluoroethane as refrigerant operates with an evaporation temperature of −25°C and a condensation temperature of 26°C. Saturated liquid refrigerant from the condenser flows through an expansion valve into the evaporator, from which it emerges as saturated vapor. (a) For a cooling rate of 5 kJ·s−1, what is the circulation rate of the refrigerant? (b) By how much would the circulation rate be reduced if the throttle valve were replaced by a turbine in which the refrigerant expands isentropically?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Problem 1.1MA
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A refrigerator with tetrafluoroethane as refrigerant operates with an evaporation temperature of −25°C and a condensation temperature of 26°C. Saturated liquid refrigerant from the condenser flows through an expansion valve into the evaporator, from which it emerges as saturated vapor.

(a) For a cooling rate of 5 kJ·s−1, what is the circulation rate of the refrigerant?

(b) By how much would the circulation rate be reduced if the throttle valve were replaced by a turbine in which the refrigerant expands isentropically?

 

 

9.3. The Choice of Refrigerant
333
Table 9.1: Properties of Saturated 1,1,1,2-Tetrafluoroethane (R134A)*
100
20.
200
550
150
250
300
350
400
450
500
600
20.
Volume
Enthalpy
kJ-kg-1
Entropy
kJ-kg-1.K-1
R-134a
(1.1.1.2 tetrafluoroethane)
- s00. kg/m3
400.
m³.kg-1
250
700.
1000-
600.
900
800
reference state:
h= 200.0 kJ/kg, s 1.00 kJka K)
for saturated liquid at OC
10.
10.
T(°C)
Р bar)
H
SV
8.
300
8.
-40
0.512
0.000705
0.361080
148.14
374.00
377,17
380.32
0.796
1.764
6.
i.. ..!
6.
0.000713
0.000720
-35
0.661
0.844
1.064
1.327
0.284020
154.44
0.822
1.758
1.752
1.746
1.741
A200.
0.225940
0.181620
0.147390
160,79
167.19
173.64
-30
0.849
0.875
0.900
150.
4.
4.
383.45
386.55
-25
0.000728
0.000736
100.
-20
80
80.
1.446
1.573
1.708
1.852
2.006
176.23
178,83
181.44
184.07
186.70
0.000740
0.000743
0.135920
0.125510
0.116050
0.107440
-18
-16
387,79
389.02
0.910
0.921
0.931
0.941
0.951
1.740
1.738
1.736
1.735
1.733
2.
70
60.
2.
60
-14
0.000746
390.24
40.
50
-12
-10
0.000750
391.46
30.
1.
40
1.
0.000754
0.099590
392.66
0.8
30
20.
0.8
0.092422
0.085867
0.079866
-8
2.169
0.000757
189.34
393.87
0.961
1.732
1.731
1.729
0.6
0.6
2.343
2.527
2.722
2.928
-6
-4
0.000761
0.000765
0.000768
191.99
194.65
395.06
396.25
397.43
0.971
0.980
0.990
1.000
15.
0.4
0.4
197.32
200.00
-2
0.074362
1.728
10.
0.000772
0.069309
398.60
1.727
8.0
3.146
0.000776
0,064663
202.69
399.77
1.010
1.726
6.0
0.2
T=-10 C
0.2
4
3.377
0.000780
0.060385
205.40
400.92
1.020
1,725
4.0
6
8
3.620
3.876
4.146
0.000785
0.000789
0.056443
0.052804
208.11
210.84
213.58
402.06
403.20
1.029
1.039
1.049
1.724
1.723
1.722
3.0
10
0.000793
0.049442
404.32
0.1
0.1
23
E-30
0.08
0.08
2.0
4.430
4.729
5.043
5.372
5.717
12
0.000797
0.046332
216.33
405.43
1.058
1.721
0.06
0.06
1.720
1.720
1.719
1.718
1.5
406.53
407.61
408.69
409.75
14
0.000802
0.043451
219.09
1.068
-40
221.87
224.66
227.47
1.077
1.087
1.096
16
0.000807
0.040780
0.04
1.0
0.04
18
20
0.000811
0.000816
0.038301
0.035997
-50
0.80
0.60
22
0.033854
0.031858
6.079
6.458
6.854
7.269
7.702
0.000821
0.000826
230.29
233.12
235.97
238.84
241.72
410.79
411.82
412.84
413.84
414.82
1.106
1.115
1.125
1.134
1.144
1.717
1.717
0.02
0.02
24
0.40
0.000831
0.000837
0.000842
26
0.029998
1.716
0.028263
0.026642
1.715
1.715
28
0.01
100
0.01
600
30
150
200
250
300
350
400
450
500
550
417.19
419.43
421.52
423.44
1.167
1.191
1.214
35
8.870
0.000857
0.023033
249.01
1.713
Enthalpy (kJ/kg)
40
45
10.166
11.599
0.000872
0.000889
0.019966
256.41
263.94
1.711
1.709
Retrieved from: Green, Don W., and Perry, Robert H. Perry's Chemical Engineers' Handbook (8th Edition). Blacklick, OH, USA:
McGraw-Hill Professional Publishing, 2007. Copyright © 2007. McGraw-Hill Professional Publishing. All rights reserved.
0.017344
0.000907
0.000927
50
13.179
14.915
0.015089
271.62
1.238
1.70
55
0.013140
279.47
425.15
1.261
1.705
Figure F.2 PH diagram for tetrafluoroethane (HFC-134a).
16.818
18.898
0.000950
0.011444
426.63
427.82
428.65
429.03
60
287.50
295.76
304.28
313.13
1.285
1.309
1.702
65
0.000975
0.009960
1.699
70
75
21.168
0.001004
0.001037
0.008653
0.007491
1.333
1.358
1.384
1.696
1.691
23.641
80
26.332
0.001077
0.006448
322.39
428.81
1.685
i Ospi
+00pi 0ɛ
000
1100.
1050.
Pressure (MPa)
Transcribed Image Text:9.3. The Choice of Refrigerant 333 Table 9.1: Properties of Saturated 1,1,1,2-Tetrafluoroethane (R134A)* 100 20. 200 550 150 250 300 350 400 450 500 600 20. Volume Enthalpy kJ-kg-1 Entropy kJ-kg-1.K-1 R-134a (1.1.1.2 tetrafluoroethane) - s00. kg/m3 400. m³.kg-1 250 700. 1000- 600. 900 800 reference state: h= 200.0 kJ/kg, s 1.00 kJka K) for saturated liquid at OC 10. 10. T(°C) Р bar) H SV 8. 300 8. -40 0.512 0.000705 0.361080 148.14 374.00 377,17 380.32 0.796 1.764 6. i.. ..! 6. 0.000713 0.000720 -35 0.661 0.844 1.064 1.327 0.284020 154.44 0.822 1.758 1.752 1.746 1.741 A200. 0.225940 0.181620 0.147390 160,79 167.19 173.64 -30 0.849 0.875 0.900 150. 4. 4. 383.45 386.55 -25 0.000728 0.000736 100. -20 80 80. 1.446 1.573 1.708 1.852 2.006 176.23 178,83 181.44 184.07 186.70 0.000740 0.000743 0.135920 0.125510 0.116050 0.107440 -18 -16 387,79 389.02 0.910 0.921 0.931 0.941 0.951 1.740 1.738 1.736 1.735 1.733 2. 70 60. 2. 60 -14 0.000746 390.24 40. 50 -12 -10 0.000750 391.46 30. 1. 40 1. 0.000754 0.099590 392.66 0.8 30 20. 0.8 0.092422 0.085867 0.079866 -8 2.169 0.000757 189.34 393.87 0.961 1.732 1.731 1.729 0.6 0.6 2.343 2.527 2.722 2.928 -6 -4 0.000761 0.000765 0.000768 191.99 194.65 395.06 396.25 397.43 0.971 0.980 0.990 1.000 15. 0.4 0.4 197.32 200.00 -2 0.074362 1.728 10. 0.000772 0.069309 398.60 1.727 8.0 3.146 0.000776 0,064663 202.69 399.77 1.010 1.726 6.0 0.2 T=-10 C 0.2 4 3.377 0.000780 0.060385 205.40 400.92 1.020 1,725 4.0 6 8 3.620 3.876 4.146 0.000785 0.000789 0.056443 0.052804 208.11 210.84 213.58 402.06 403.20 1.029 1.039 1.049 1.724 1.723 1.722 3.0 10 0.000793 0.049442 404.32 0.1 0.1 23 E-30 0.08 0.08 2.0 4.430 4.729 5.043 5.372 5.717 12 0.000797 0.046332 216.33 405.43 1.058 1.721 0.06 0.06 1.720 1.720 1.719 1.718 1.5 406.53 407.61 408.69 409.75 14 0.000802 0.043451 219.09 1.068 -40 221.87 224.66 227.47 1.077 1.087 1.096 16 0.000807 0.040780 0.04 1.0 0.04 18 20 0.000811 0.000816 0.038301 0.035997 -50 0.80 0.60 22 0.033854 0.031858 6.079 6.458 6.854 7.269 7.702 0.000821 0.000826 230.29 233.12 235.97 238.84 241.72 410.79 411.82 412.84 413.84 414.82 1.106 1.115 1.125 1.134 1.144 1.717 1.717 0.02 0.02 24 0.40 0.000831 0.000837 0.000842 26 0.029998 1.716 0.028263 0.026642 1.715 1.715 28 0.01 100 0.01 600 30 150 200 250 300 350 400 450 500 550 417.19 419.43 421.52 423.44 1.167 1.191 1.214 35 8.870 0.000857 0.023033 249.01 1.713 Enthalpy (kJ/kg) 40 45 10.166 11.599 0.000872 0.000889 0.019966 256.41 263.94 1.711 1.709 Retrieved from: Green, Don W., and Perry, Robert H. Perry's Chemical Engineers' Handbook (8th Edition). Blacklick, OH, USA: McGraw-Hill Professional Publishing, 2007. Copyright © 2007. McGraw-Hill Professional Publishing. All rights reserved. 0.017344 0.000907 0.000927 50 13.179 14.915 0.015089 271.62 1.238 1.70 55 0.013140 279.47 425.15 1.261 1.705 Figure F.2 PH diagram for tetrafluoroethane (HFC-134a). 16.818 18.898 0.000950 0.011444 426.63 427.82 428.65 429.03 60 287.50 295.76 304.28 313.13 1.285 1.309 1.702 65 0.000975 0.009960 1.699 70 75 21.168 0.001004 0.001037 0.008653 0.007491 1.333 1.358 1.384 1.696 1.691 23.641 80 26.332 0.001077 0.006448 322.39 428.81 1.685 i Ospi +00pi 0ɛ 000 1100. 1050. Pressure (MPa)
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