A closed cylinder contains 1.0 mole of ideal monatomic gas at 300 o C and 4.0 bar. Insulating the cylinder so that there is no heat exchange with the surroundings, the gas is expanded to 200 o C and 1.0 bar producing 1247 J of work. a) Is this process reversible or irreversible? b) What is the change in enthalpy (∆H) of the gas? c) What is the change in internal energy (∆U) of the gas?

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Chapter7: Statistical Data Treatment And Evaluation
Section: Chapter Questions
Problem 7.16QAP
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Question

A closed cylinder contains 1.0 mole of ideal monatomic gas at 300 o
C and 4.0 bar.
Insulating the cylinder so that there is no heat exchange with the surroundings, the gas is
expanded to 200 o
C and 1.0 bar producing 1247 J of work.
a) Is this process reversible or irreversible?
b) What is the change in enthalpy (∆H) of the gas?
c) What is the change in internal energy (∆U) of the
gas?  

2 TABLE B.2 Saturated Water: Pressure Table
P
û,
kJ/kg
Aŝte
kJ/kg K
T
КРа, МPа
°C
m/kg
m/kg
kJ/kg
kJ/kg
kJ/kg
kJ/kg
kJ/kg
kJ/kg K
kJ/kg K
0.6113 kPa
0.01
0.001000
206.132
2375.3
2375.3
0.00
2501.3
2501.3
9.1562
9.1562
129.208
87.980
29.29
54.70
8.9756
8.8278
8.7236
1.0
6.98
0.001000
29.29
2355.7
2385.0
2484.9
2514.2
0.1059
8.8697
2393.3
2399.5
2470.6
2460.0
1.5
13.03
0.001001
54.70
2338.6
2525.3
0.1956
8.6322
2.0
17.50
0.001001
67.004
73.47
2326.0
73.47
2533.5
0.2607
8.4629
2.5
21.08
0.001002
54.254
88.47
2315.9
2404.4
88.47
2451.6
2540.0
0.3120
8.3311
8.6431
8.2231
8.0520
3.0
24.08
0.001003
45.665
101.03
2307.5
2408.5
101.03
2444.5
2545.5
0.3545
8.5775
4.0
28.96
0.001004
34.800
121.44
2293.7
2415.2
121.44
2432.9
2554.4
0.4226
8.4746
2561.4
28.193
19.238
14.674
2420.5
2430.5
5.0
32.88
0.001005
137.79
2282.7
137.79
2423.7
0.4763
7.9187
8.3950
7.5
40.29
0.001008
168.76
2261.7
168.77
2406.0
2574.8
0.5763
7.6751
8.2514
10.0
45.81
0.001010
191.79
2246.1
2437.9
191.81
2392.8
2584.6
0.6492
7.5010
8.1501
15.0
53.97
0.001014
10.022
225.90
2222.8
2448.7
225.91
2373.1
2599.1
0.7548
7.2536
8.0084
20.0
60.06
0.001017
7.649
251.35
2205.4
2456.7
251.38
2358.3
2609.7
0.8319
7.0766
7.9085
25.0
64.97
0.001020
6.204
271.88
2191.2
2463.1
271.90
2346.3
2618.2
0.8930
6.9383
7.8313
30.0
69.10
0.001022
5.229
289.18
2179.2
2468.4
289.21
2336.1
2625.3
0.9439
6.8247
7.7686
40.0
75.87
0.001026
3.993
317.51
2159.5
2477.0
317.55
2319.2
2636.7
1.0258
6.6441
7.6700
50.0
81.33
0.001030
3.240
340.42
2143.4
2483.8
340.47
2305.4
2645.9
1.0910
6.5029
7.5939
384.29
417.33
75.0
91.77
0.001037
2.217
2112.4
2496.7
384.36
2278.6
2663.0
1.2129
6.2434
7.4563
0.100 MPa
99.62
0.001043
1.694
2088.7
2506.1
417.44
2258.0
2675.5
1.3025
6.0568
7.3593
0.125
105.99
0.001048
1.3749
444.16
2069.3
2513.5
444.30
2241.1
2685.3
1.3739
5.9104
7.2843
0.150
111.37
0.001053
1.1593
466.92
2052.7
2519.6
467.08
2226.5
2693.5
1.4335
5.7897
7.2232
2700.5
2706.6
0.175
116.06
0.001057
1.0036
486.78
2038.1
2524.9
486.97
2213.6
1.4848
5.6868
7.1717
0,200
120.23
0.001061
0.8857
504.47
2025.0
2529.5
504.68
2202.0
1.5300
5.5970
7.1271
520.45
2712.0
2716.9
0.225
124.00
0.001064
0.7933
2013.1
2533.6
520.69
2191.3
1.5705
5.5173
7.0878
0.250
127.43
0.001067
0.7187
535.08
2002.1
2537.2
535.34
2181.5
1.6072
5.4455
7.0526
0.275
130.60
0.001070
0.6573
548.57
1992.0
2540.5
548.87
2172.4
2721.3
1.6407
5.3801
7.0208
0.300
133.55
0.001073
0.6058
561.13
1982.4
2543.6
561.45
2163.9
2725.3
1.6717
5.3201
6.9918
572.88
1973.5
1965
0.325
136.30
0.001076
0.562
2546.3
573.23
2155.8
2729.0
1.7005
5.2646
6.9651
0.350
138.88
0.001079
0.5243
583.93
2548.9
584.31
2148.1
2732.4
1.7274
5.2130
6.9404
0.375
141.32
0.001081
0.4914
594.38
1956.9
2551.3
594.79
2140.8
2735.6
1.7527
5.1647
6.9174
0.40
143.63
0.001084
0.4625
604.29
1949.3
2553.6
604.73
2133.8
2738.5
1.7766
5.1193
6.8958
0.45
147.93
0.001088
0.4140
622.75
1934.9
2557.6
623.24
2120.7
2743.9
1.8206
5.0359
6.8565
0,50
151.86
0.001093
0.3749
639.66
1921.6
2561.2
640.21
2108.5
2748.7
1.8606
4.9606
6.8212
0.55
155.48
0.001097
0.3427
655.30
1909.2
2564.5
655.91
2097.0
2752.9
1.8972
4.8920
6.7892
669.88
683.55
1897.5
1886.5
670.54
684.26
4.8289
4.7704
0.60
158.85
0.001101
0.3157
2567.4
2086.3
2756.8
1.9311
6.7600
0.65
162.01
0.001104
0.2927
2570.1
2076.0
2760.3
1.9627
6.7330
0.70
164.97
0.001108
0.2729
696.43
1876.1
2572.5
697.20
2066.3
2763.5
1.9922
4.7158
6.7080
Username: THOMAS STARRBook: Engineering and Chemical Thermodynamics, 2nd Edition. No part of any book may be
reproduced or transmitted in any fe
pursuant to the qualified fair use privilege) in violation of the law or these Terms of Service is prohibited. Violators will be
prosecuted to the full extent of the law.
y form by anv
ny means without the publisher's prior written permission. Use (other than
Transcribed Image Text:2 TABLE B.2 Saturated Water: Pressure Table P û, kJ/kg Aŝte kJ/kg K T КРа, МPа °C m/kg m/kg kJ/kg kJ/kg kJ/kg kJ/kg kJ/kg kJ/kg K kJ/kg K 0.6113 kPa 0.01 0.001000 206.132 2375.3 2375.3 0.00 2501.3 2501.3 9.1562 9.1562 129.208 87.980 29.29 54.70 8.9756 8.8278 8.7236 1.0 6.98 0.001000 29.29 2355.7 2385.0 2484.9 2514.2 0.1059 8.8697 2393.3 2399.5 2470.6 2460.0 1.5 13.03 0.001001 54.70 2338.6 2525.3 0.1956 8.6322 2.0 17.50 0.001001 67.004 73.47 2326.0 73.47 2533.5 0.2607 8.4629 2.5 21.08 0.001002 54.254 88.47 2315.9 2404.4 88.47 2451.6 2540.0 0.3120 8.3311 8.6431 8.2231 8.0520 3.0 24.08 0.001003 45.665 101.03 2307.5 2408.5 101.03 2444.5 2545.5 0.3545 8.5775 4.0 28.96 0.001004 34.800 121.44 2293.7 2415.2 121.44 2432.9 2554.4 0.4226 8.4746 2561.4 28.193 19.238 14.674 2420.5 2430.5 5.0 32.88 0.001005 137.79 2282.7 137.79 2423.7 0.4763 7.9187 8.3950 7.5 40.29 0.001008 168.76 2261.7 168.77 2406.0 2574.8 0.5763 7.6751 8.2514 10.0 45.81 0.001010 191.79 2246.1 2437.9 191.81 2392.8 2584.6 0.6492 7.5010 8.1501 15.0 53.97 0.001014 10.022 225.90 2222.8 2448.7 225.91 2373.1 2599.1 0.7548 7.2536 8.0084 20.0 60.06 0.001017 7.649 251.35 2205.4 2456.7 251.38 2358.3 2609.7 0.8319 7.0766 7.9085 25.0 64.97 0.001020 6.204 271.88 2191.2 2463.1 271.90 2346.3 2618.2 0.8930 6.9383 7.8313 30.0 69.10 0.001022 5.229 289.18 2179.2 2468.4 289.21 2336.1 2625.3 0.9439 6.8247 7.7686 40.0 75.87 0.001026 3.993 317.51 2159.5 2477.0 317.55 2319.2 2636.7 1.0258 6.6441 7.6700 50.0 81.33 0.001030 3.240 340.42 2143.4 2483.8 340.47 2305.4 2645.9 1.0910 6.5029 7.5939 384.29 417.33 75.0 91.77 0.001037 2.217 2112.4 2496.7 384.36 2278.6 2663.0 1.2129 6.2434 7.4563 0.100 MPa 99.62 0.001043 1.694 2088.7 2506.1 417.44 2258.0 2675.5 1.3025 6.0568 7.3593 0.125 105.99 0.001048 1.3749 444.16 2069.3 2513.5 444.30 2241.1 2685.3 1.3739 5.9104 7.2843 0.150 111.37 0.001053 1.1593 466.92 2052.7 2519.6 467.08 2226.5 2693.5 1.4335 5.7897 7.2232 2700.5 2706.6 0.175 116.06 0.001057 1.0036 486.78 2038.1 2524.9 486.97 2213.6 1.4848 5.6868 7.1717 0,200 120.23 0.001061 0.8857 504.47 2025.0 2529.5 504.68 2202.0 1.5300 5.5970 7.1271 520.45 2712.0 2716.9 0.225 124.00 0.001064 0.7933 2013.1 2533.6 520.69 2191.3 1.5705 5.5173 7.0878 0.250 127.43 0.001067 0.7187 535.08 2002.1 2537.2 535.34 2181.5 1.6072 5.4455 7.0526 0.275 130.60 0.001070 0.6573 548.57 1992.0 2540.5 548.87 2172.4 2721.3 1.6407 5.3801 7.0208 0.300 133.55 0.001073 0.6058 561.13 1982.4 2543.6 561.45 2163.9 2725.3 1.6717 5.3201 6.9918 572.88 1973.5 1965 0.325 136.30 0.001076 0.562 2546.3 573.23 2155.8 2729.0 1.7005 5.2646 6.9651 0.350 138.88 0.001079 0.5243 583.93 2548.9 584.31 2148.1 2732.4 1.7274 5.2130 6.9404 0.375 141.32 0.001081 0.4914 594.38 1956.9 2551.3 594.79 2140.8 2735.6 1.7527 5.1647 6.9174 0.40 143.63 0.001084 0.4625 604.29 1949.3 2553.6 604.73 2133.8 2738.5 1.7766 5.1193 6.8958 0.45 147.93 0.001088 0.4140 622.75 1934.9 2557.6 623.24 2120.7 2743.9 1.8206 5.0359 6.8565 0,50 151.86 0.001093 0.3749 639.66 1921.6 2561.2 640.21 2108.5 2748.7 1.8606 4.9606 6.8212 0.55 155.48 0.001097 0.3427 655.30 1909.2 2564.5 655.91 2097.0 2752.9 1.8972 4.8920 6.7892 669.88 683.55 1897.5 1886.5 670.54 684.26 4.8289 4.7704 0.60 158.85 0.001101 0.3157 2567.4 2086.3 2756.8 1.9311 6.7600 0.65 162.01 0.001104 0.2927 2570.1 2076.0 2760.3 1.9627 6.7330 0.70 164.97 0.001108 0.2729 696.43 1876.1 2572.5 697.20 2066.3 2763.5 1.9922 4.7158 6.7080 Username: THOMAS STARRBook: Engineering and Chemical Thermodynamics, 2nd Edition. No part of any book may be reproduced or transmitted in any fe pursuant to the qualified fair use privilege) in violation of the law or these Terms of Service is prohibited. Violators will be prosecuted to the full extent of the law. y form by anv ny means without the publisher's prior written permission. Use (other than
2766.4
2769.1
0.75
167.77
0.001111
0.2556
708.62
1866.1
2574.7
709.45
2057.0
2.0199
4.6647
6.6846
0.80
170.43
0.001115
0.2404
720.20
1856.6
2576.8
721.10
2048.0
2.0461
4.6166
6.6627
0.001118
0.2270
1847.4
2578.7
2580.5
0.85
172.96
731.25
732.20
2039.4
2771.6
2.0709
4.5711
6.6421
2773.9
2776.1
0.90
175.38
0.001121
0.2150
741.81
1838.7
742.82
2031.1
2.0946
4.5280
6.6225
0.95
177.69
0.001124
0.2042
751.94
1830.2
2582.1
753.00
2023.1
2.1171
4.4869
6.6040
1.00
179.91
0.001127
0.19444
761.67
1822.0
2583.6
762.79
2015.3
2778.1
2.1386
4.4478
6.5864
1.10
184.09
0.001133
0.17753
780.08
1806.3
2586.4
781.32
2000.4
2781.7
2.1791
4.3744
6.5535
1.20
187.99
0.001139
0.16333
797.27
1791.6
2588.8
798.64
1986.2
2784.8
2.2165
4.3067
6.5233
1.30
191.64
0.001144
0.15125
813.42
1777.5
2590.9
814.91
1972.7
2787.6
2.2514
4.2438
6.4953
1.40
195.07
0.001149
0.14084
828.68
1764.1
2592.8
830.29
1959.7
2790.0
2.2842
4.1850
6.4692
1.50
198.32
0.001154
0.13177
843.14
1751.3
2594.5
844.87
1947.3
2792.1
2.3150
4.1298
6.4448
1721.4
1693.8
1.75
205.76
0.001166
0.11349
876.44
2597.8
878.48
1918.0
2796.4
2.3851
4.0044
6.3895
2.00
212.42
0.001177
0.09963
906.42
2600.3
908.77
1890.7
2799.5
2.4473
3.8935
6.3408
2.25
218.45
0.001187
0.08875
933.81
1668.2
2602.0
936.48
1865.2
2801.7
2.5034
3.7938
6.2971
0.07998
2603.1
1841.0
1817.9
2.50
223.99
0.001197
959.09
1644.0
962.09
2803.1
2.5546
3.7028
6.2574
2.75
229.12
0.001207
0.07275
982.65
1621.2
2603.8
985.97
2803.9
2.6018
3.6190
6.2208
3.00
233.90
0.001216
0.06668
1004.76
1599.3
2604.1
1008.41
1795.7
2804.1
2.6456
3.5412
6.1869
3.25
238.38
0.001226
0.06152
1025.62
1578.4
2604.0
1029.60
1774.4
2804.0
2.6866
3.4685
6.1551
3.5
242.60
0.001235
0.05707
1045.41
1558.3
2603.7
1049.73
1753.7
2803.4
2.7252
3.4000
6.1252
3.2737
3.0532
4.0
250.40
0.001252
0.049778
1082.28
1520.0
2602.3
1087.29
1714.1
2801.4
2.7963
6.0700
5.0
263.99
0.001286
0.039441
1147.78
1449.3
2597.1
1154.21
1640.1
2794.3
2.9201
5.9733
6.0
275.64
0.001319
0.032440
1205.41
1384.3
2589.7
1213.32
1571.0
2784.3
3.0266
2.8625
5.8891
7.0
285.88
0.001351
0.027370
1257.51
1323.0
2580.5
1266.97
1505.1
2772.1
3.1210
2.6922
5.8132
8.0
295.06
0.001384
0.023518
1305.54
1264.3
2569.8
1316.61
1441.3
2757.9
3.2067
2.5365
5.7431
9.0
303.40
0.001418
0.020484
1350.47
1207.3
2557.8
1363.23
1378.9
2742.1
3.2857
2.3915
5.6771
10.0
311.06
0.001452
0.018026
1393.00
1151.4
2544.4
1407.53
1317.1
2724.7
3.3595
2.2545
5.6140
11.0
318.15
0.001489
0.015987
1433.68
1096.1
2529.7
1450.05
1255.5
2705.6
3.4294
2.1233
5.5527
12.0
324.75
0.001527
0.014263
1472.92
1040.8
2513.7
1491.24
1193.6
2684.8
3.4961
1.9962
5.4923
330.93
0.012780
2496.1
2662.2
3.5604
5.4323
1.8718
1.7485
13.0
0.001567
1511.09
9850.0
1531.46
1130.8
336.75
1571.08
3.6231
0.011485
0.010338
14.0
0.001611
1548.53
928.2
2476.8
1066.5
2637.5
5.3716
15.0
342.24
0.001658
1585.58
869.8
2455.4
1610.45
1000.0
2610.5
3.6847
1.6250
5.3097
16.0
347.43
0.001711
0.009306
1622.63
809.1
2431.7
1650.00
930.6
2580.6
3.7460
1.4995
5.2454
17.0
352.37
0.001770
0.008365
1660.16
744.8
2405.0
1690.25
856.9
2547.2
3.8078
1.3698
5.1776
18.0
357.06
0.001840
0.007490
1698.86
675.4
2374.3
1731.97
777.1
2509.1
3.8713
1.2330
5.1044
19.0
361.54
0.001924
0.006657
1739.87
598.2
2338.1
1776.43
688.1
2464.5
3.9387
1.0841
5.0227
20.0
365.81
0.002035
0.005834
1785.47
507.6
2293.1
1826.18
583.6
2409.7
4.0137
0.9132
4.9269
Username: THOMAS STARRBook: Engineering and Chemical Thermodynamics, 2nd Edition. No part of any book may be
reproduced or transmitted in any form by any means without the publisher's prior written permission. Use (other than
pursuant to the qualified fair use privilege) in violation of the law or these Terms of Service is prohibited. Violators will be
prosecuted to the full extent of the law.
Transcribed Image Text:2766.4 2769.1 0.75 167.77 0.001111 0.2556 708.62 1866.1 2574.7 709.45 2057.0 2.0199 4.6647 6.6846 0.80 170.43 0.001115 0.2404 720.20 1856.6 2576.8 721.10 2048.0 2.0461 4.6166 6.6627 0.001118 0.2270 1847.4 2578.7 2580.5 0.85 172.96 731.25 732.20 2039.4 2771.6 2.0709 4.5711 6.6421 2773.9 2776.1 0.90 175.38 0.001121 0.2150 741.81 1838.7 742.82 2031.1 2.0946 4.5280 6.6225 0.95 177.69 0.001124 0.2042 751.94 1830.2 2582.1 753.00 2023.1 2.1171 4.4869 6.6040 1.00 179.91 0.001127 0.19444 761.67 1822.0 2583.6 762.79 2015.3 2778.1 2.1386 4.4478 6.5864 1.10 184.09 0.001133 0.17753 780.08 1806.3 2586.4 781.32 2000.4 2781.7 2.1791 4.3744 6.5535 1.20 187.99 0.001139 0.16333 797.27 1791.6 2588.8 798.64 1986.2 2784.8 2.2165 4.3067 6.5233 1.30 191.64 0.001144 0.15125 813.42 1777.5 2590.9 814.91 1972.7 2787.6 2.2514 4.2438 6.4953 1.40 195.07 0.001149 0.14084 828.68 1764.1 2592.8 830.29 1959.7 2790.0 2.2842 4.1850 6.4692 1.50 198.32 0.001154 0.13177 843.14 1751.3 2594.5 844.87 1947.3 2792.1 2.3150 4.1298 6.4448 1721.4 1693.8 1.75 205.76 0.001166 0.11349 876.44 2597.8 878.48 1918.0 2796.4 2.3851 4.0044 6.3895 2.00 212.42 0.001177 0.09963 906.42 2600.3 908.77 1890.7 2799.5 2.4473 3.8935 6.3408 2.25 218.45 0.001187 0.08875 933.81 1668.2 2602.0 936.48 1865.2 2801.7 2.5034 3.7938 6.2971 0.07998 2603.1 1841.0 1817.9 2.50 223.99 0.001197 959.09 1644.0 962.09 2803.1 2.5546 3.7028 6.2574 2.75 229.12 0.001207 0.07275 982.65 1621.2 2603.8 985.97 2803.9 2.6018 3.6190 6.2208 3.00 233.90 0.001216 0.06668 1004.76 1599.3 2604.1 1008.41 1795.7 2804.1 2.6456 3.5412 6.1869 3.25 238.38 0.001226 0.06152 1025.62 1578.4 2604.0 1029.60 1774.4 2804.0 2.6866 3.4685 6.1551 3.5 242.60 0.001235 0.05707 1045.41 1558.3 2603.7 1049.73 1753.7 2803.4 2.7252 3.4000 6.1252 3.2737 3.0532 4.0 250.40 0.001252 0.049778 1082.28 1520.0 2602.3 1087.29 1714.1 2801.4 2.7963 6.0700 5.0 263.99 0.001286 0.039441 1147.78 1449.3 2597.1 1154.21 1640.1 2794.3 2.9201 5.9733 6.0 275.64 0.001319 0.032440 1205.41 1384.3 2589.7 1213.32 1571.0 2784.3 3.0266 2.8625 5.8891 7.0 285.88 0.001351 0.027370 1257.51 1323.0 2580.5 1266.97 1505.1 2772.1 3.1210 2.6922 5.8132 8.0 295.06 0.001384 0.023518 1305.54 1264.3 2569.8 1316.61 1441.3 2757.9 3.2067 2.5365 5.7431 9.0 303.40 0.001418 0.020484 1350.47 1207.3 2557.8 1363.23 1378.9 2742.1 3.2857 2.3915 5.6771 10.0 311.06 0.001452 0.018026 1393.00 1151.4 2544.4 1407.53 1317.1 2724.7 3.3595 2.2545 5.6140 11.0 318.15 0.001489 0.015987 1433.68 1096.1 2529.7 1450.05 1255.5 2705.6 3.4294 2.1233 5.5527 12.0 324.75 0.001527 0.014263 1472.92 1040.8 2513.7 1491.24 1193.6 2684.8 3.4961 1.9962 5.4923 330.93 0.012780 2496.1 2662.2 3.5604 5.4323 1.8718 1.7485 13.0 0.001567 1511.09 9850.0 1531.46 1130.8 336.75 1571.08 3.6231 0.011485 0.010338 14.0 0.001611 1548.53 928.2 2476.8 1066.5 2637.5 5.3716 15.0 342.24 0.001658 1585.58 869.8 2455.4 1610.45 1000.0 2610.5 3.6847 1.6250 5.3097 16.0 347.43 0.001711 0.009306 1622.63 809.1 2431.7 1650.00 930.6 2580.6 3.7460 1.4995 5.2454 17.0 352.37 0.001770 0.008365 1660.16 744.8 2405.0 1690.25 856.9 2547.2 3.8078 1.3698 5.1776 18.0 357.06 0.001840 0.007490 1698.86 675.4 2374.3 1731.97 777.1 2509.1 3.8713 1.2330 5.1044 19.0 361.54 0.001924 0.006657 1739.87 598.2 2338.1 1776.43 688.1 2464.5 3.9387 1.0841 5.0227 20.0 365.81 0.002035 0.005834 1785.47 507.6 2293.1 1826.18 583.6 2409.7 4.0137 0.9132 4.9269 Username: THOMAS STARRBook: Engineering and Chemical Thermodynamics, 2nd Edition. No part of any book may be reproduced or transmitted in any form by any means without the publisher's prior written permission. Use (other than pursuant to the qualified fair use privilege) in violation of the law or these Terms of Service is prohibited. Violators will be prosecuted to the full extent of the law.
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