Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Explain how you find the P3 and U3 as well for the heat transfer within 2-3

Ammonia in a piston-cylinder assembly undergoes two processes in series. Initially, the ammonia
is saturated vapour at P₁=1000 kPa. Process 1-2 involves cooling until the piston meets the stops
where the position is locked in place at which time quality is x2=75%. The second process from
state 2 to state 3, involves heating (at constant volume) until x3=100%. If the mass is 0.45 kg
determine:
The heat transfer for process 2-3 (in kJ).
Sketch the processes on a p-v diagram, what does the area under the curve represent?
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Transcribed Image Text:Ammonia in a piston-cylinder assembly undergoes two processes in series. Initially, the ammonia is saturated vapour at P₁=1000 kPa. Process 1-2 involves cooling until the piston meets the stops where the position is locked in place at which time quality is x2=75%. The second process from state 2 to state 3, involves heating (at constant volume) until x3=100%. If the mass is 0.45 kg determine: The heat transfer for process 2-3 (in kJ). Sketch the processes on a p-v diagram, what does the area under the curve represent?
Pressure Conversions: Properties of Saturated Ammonia (Liquid-Vapor): Temperature Table
1 bar = 0.1 MPa
Specific Volume
Internal Energy
= 10² kPa
m³/kg
kJ/kg
Temp.
°C
-30 1.1950 1.4757
-28 1.3159 1.4812
-26
-22
-20
-8
-6
-50
0.4086
-43.94
1.4245 2.6265
1.4367 2.0060 -22.03
-45 0.5453
-40 0.7174
1.4493
1.5524
-0.10
-36 0.8850 1.4597 1.2757
17.47
35.09
-32 1.0832
1.4703 1.0561
-4
-2
0
2
4
6
Press.
bar
8
10
1.4465
1.7390
1.9019
20
24
28
Sat.
Liquid
Uf X 10²
-18
2.0769
-16
1.5096 0.5739 97.36 1301.25
2.2644 1.5155 0.5291 106.36 1303.23
-14 2.4652 1.5215 0.4885 115.37 1305.17
-12 2.6798 1.5276 0.4516 124.42 1307.08
-10 2.9089 1.5338 0.4180 133.50 1308.95
4.6270
4.9773
5.3479
0.9634
0.8803
1.4867
0.8056
1.4980 0.6780
1.5038
0.6233
3.1532 1.5400
3.4134 1.5464
3.6901 1.5528
3.9842 1.5594
4.2962
1.5660
Sat.
Vapor
Ug
32 12.380
36 13.896
40 15.549
17.819
45
50 20.331
1.5727
1.5796
1.5866
6.5890 1.6081
12
16 7.5324 1.6231
8.5762 1.6386
9.7274 1.6547
10.993
1.6714
Sat.
Liquid
UF
5.7395 1.5936 0.2195
6.1529
1.6008 0.2054
0.2514
0.2348
0.3874
142.60
1310.78
151.74 1312.57
0.3595
0.3340
0.3106 170.07
160.88 1314.32
1316.04
0.2892 179.29 1317.71
43.93 1288.63
52.78 1290.82
61.65 1292.97
79.46 1297.18
88.40 1299.23
0.2695 188.53
0.1923
0.1691
0.1492
0.1320
0.1172
Sat.
Sat.
Sat.
Vapor
Liquid
Liquid
Ug
h₁
Sf
1264.99 -43.88 1416.20 1372.32 -0.1922
1271.19 -21.95 1402.52 1380.57 -0.0951
1277.20
0.00 1388.56 1388.56 0.0000
1281.87 17.60 1377.17 1394.77
1286.41 35.25 1365.55 1400.81
1319.34
197.80 1320.92
1322.47
207.10
216.42
1323.96
225.77
1325.42
Enthalpy
kJ/kg
143.09
152.26
161.46
170.69
179.96
Evap.
hig
44.10 1359.65 1403.75
52.97 1353.68 1406.66
61.86 1347.65 1409.51
79.72 1335.36 1415.08
88.68 1329.10 1417.79
235.14
1326.82
253.95 1329.48
272.86 1331.94
291.84 1334.19
1336.20 312.75
310.92
Sat.
Vapor
hg
97.68 1322.77 1420.45
106.70 1316.35 1423.05
115.75 1309.86 1425.61
124.83 1303.28 1428.11
133.94 1296.61 1430.55
1289.86 1432.95
1283.02 1435.28
1276.10 1437.56
1269.08 1439.78
1261.97 1441.94
189.26 1254.77 1444.03
198.59 1247.48 1446.07
207.95 1240.09 1448.04
217.34 1232.61 1449.94
226.75 1225.03 1451.78
1217.35 1453.55
236.20
255.18 1201.70
274.26 1185.64 1459.90
293.45 1169.16 1462.61
1152.24 1465.00
Entropy
kJ/kg. K
1.6887
0.1043 330.07
1134.87 1467.03
1337.97 332.17
1.7068 0.0930 349.32 1339.47 351.69 1117.00 1468.70
1.7256 0.0831 368.67 1340.70 371.35 1098.62 1469.97
393.01 1341.81 396.13 1074.84 1470.96
417.56 1342.42 421.17 1050.09 1471.26
1.7503
0.0725
1.7765
0.0634
Sat.
Vapor
5g
6.0523
5.9557
0.0747 5.8819
0.1484
5.8111
0.2572
0.3287
0.3642
6.1543 -50
0.1849 5.7767
0.2212 5.7430
5.7100
5.6457
5.6144
0.5734 5.4380
0.6077 5.4103
0.6418 5.3831
0.6759 5.3562
0.7097 5.3298
0.9099 5.1791
1456.87 0.9755 5.1314
1.0404 5.0849
1.1048 5.0394
1.1686 4.9948
0.7435 5.3038
0.7770 5.2781
0.8105 5.2529
0.8438 5.2279
0.8769 5.2033
0.3994 5.5837
0.4346 5.5536
0.4695 5.5239 -14
0.5043 5.4948 -12
0.5389 5.4662 -10
Temp.
°℃
1.2319 4.9509
1.2946 4.9078
1.3569 4.8652
1.4341 4.8125
1.5109 4.7604
-45
-40
-36
-32
-30
-28
-26
-22
-20
-18
-16
-8
-6
-4
-2
0
2
4
6
8
10
26048
12
16
28
32
36
40
45
50
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Transcribed Image Text:Pressure Conversions: Properties of Saturated Ammonia (Liquid-Vapor): Temperature Table 1 bar = 0.1 MPa Specific Volume Internal Energy = 10² kPa m³/kg kJ/kg Temp. °C -30 1.1950 1.4757 -28 1.3159 1.4812 -26 -22 -20 -8 -6 -50 0.4086 -43.94 1.4245 2.6265 1.4367 2.0060 -22.03 -45 0.5453 -40 0.7174 1.4493 1.5524 -0.10 -36 0.8850 1.4597 1.2757 17.47 35.09 -32 1.0832 1.4703 1.0561 -4 -2 0 2 4 6 Press. bar 8 10 1.4465 1.7390 1.9019 20 24 28 Sat. Liquid Uf X 10² -18 2.0769 -16 1.5096 0.5739 97.36 1301.25 2.2644 1.5155 0.5291 106.36 1303.23 -14 2.4652 1.5215 0.4885 115.37 1305.17 -12 2.6798 1.5276 0.4516 124.42 1307.08 -10 2.9089 1.5338 0.4180 133.50 1308.95 4.6270 4.9773 5.3479 0.9634 0.8803 1.4867 0.8056 1.4980 0.6780 1.5038 0.6233 3.1532 1.5400 3.4134 1.5464 3.6901 1.5528 3.9842 1.5594 4.2962 1.5660 Sat. Vapor Ug 32 12.380 36 13.896 40 15.549 17.819 45 50 20.331 1.5727 1.5796 1.5866 6.5890 1.6081 12 16 7.5324 1.6231 8.5762 1.6386 9.7274 1.6547 10.993 1.6714 Sat. Liquid UF 5.7395 1.5936 0.2195 6.1529 1.6008 0.2054 0.2514 0.2348 0.3874 142.60 1310.78 151.74 1312.57 0.3595 0.3340 0.3106 170.07 160.88 1314.32 1316.04 0.2892 179.29 1317.71 43.93 1288.63 52.78 1290.82 61.65 1292.97 79.46 1297.18 88.40 1299.23 0.2695 188.53 0.1923 0.1691 0.1492 0.1320 0.1172 Sat. Sat. Sat. Vapor Liquid Liquid Ug h₁ Sf 1264.99 -43.88 1416.20 1372.32 -0.1922 1271.19 -21.95 1402.52 1380.57 -0.0951 1277.20 0.00 1388.56 1388.56 0.0000 1281.87 17.60 1377.17 1394.77 1286.41 35.25 1365.55 1400.81 1319.34 197.80 1320.92 1322.47 207.10 216.42 1323.96 225.77 1325.42 Enthalpy kJ/kg 143.09 152.26 161.46 170.69 179.96 Evap. hig 44.10 1359.65 1403.75 52.97 1353.68 1406.66 61.86 1347.65 1409.51 79.72 1335.36 1415.08 88.68 1329.10 1417.79 235.14 1326.82 253.95 1329.48 272.86 1331.94 291.84 1334.19 1336.20 312.75 310.92 Sat. Vapor hg 97.68 1322.77 1420.45 106.70 1316.35 1423.05 115.75 1309.86 1425.61 124.83 1303.28 1428.11 133.94 1296.61 1430.55 1289.86 1432.95 1283.02 1435.28 1276.10 1437.56 1269.08 1439.78 1261.97 1441.94 189.26 1254.77 1444.03 198.59 1247.48 1446.07 207.95 1240.09 1448.04 217.34 1232.61 1449.94 226.75 1225.03 1451.78 1217.35 1453.55 236.20 255.18 1201.70 274.26 1185.64 1459.90 293.45 1169.16 1462.61 1152.24 1465.00 Entropy kJ/kg. K 1.6887 0.1043 330.07 1134.87 1467.03 1337.97 332.17 1.7068 0.0930 349.32 1339.47 351.69 1117.00 1468.70 1.7256 0.0831 368.67 1340.70 371.35 1098.62 1469.97 393.01 1341.81 396.13 1074.84 1470.96 417.56 1342.42 421.17 1050.09 1471.26 1.7503 0.0725 1.7765 0.0634 Sat. Vapor 5g 6.0523 5.9557 0.0747 5.8819 0.1484 5.8111 0.2572 0.3287 0.3642 6.1543 -50 0.1849 5.7767 0.2212 5.7430 5.7100 5.6457 5.6144 0.5734 5.4380 0.6077 5.4103 0.6418 5.3831 0.6759 5.3562 0.7097 5.3298 0.9099 5.1791 1456.87 0.9755 5.1314 1.0404 5.0849 1.1048 5.0394 1.1686 4.9948 0.7435 5.3038 0.7770 5.2781 0.8105 5.2529 0.8438 5.2279 0.8769 5.2033 0.3994 5.5837 0.4346 5.5536 0.4695 5.5239 -14 0.5043 5.4948 -12 0.5389 5.4662 -10 Temp. °℃ 1.2319 4.9509 1.2946 4.9078 1.3569 4.8652 1.4341 4.8125 1.5109 4.7604 -45 -40 -36 -32 -30 -28 -26 -22 -20 -18 -16 -8 -6 -4 -2 0 2 4 6 8 10 26048 12 16 28 32 36 40 45 50
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