3. A PVT cell containing pure water (H₂O) shows two equilibrium phases of vapor and liquid at 336.75°C. Answer the questions below by using Appendix A.III of Sandler, "steam table." What is the pressure (MPa) of the PVT cell? The visual window of the PVT cell shows 70 cm³ of vapor and 3 cm³ of liquid at What is the mass of water (a total of liquid water and vapor water) in the PVT cell? Since the water in the PVT cell shows two equilibrium phases at the temperature (and the corresponding pressure you answered in part a), it has no thermodynamic freedom (F = 0). When an additional heat is given to the system while keeping the temperature at 336.75°C and the pressure (that you answered in part a), the volume increases from 73 cm³ to 80 cm³. Note that the system is closed; hence, the total mass of water remains the same as Part b. What is the mass of liquid water, and what is the mass of vapor water? a. b. C. 336.75°C. a. 14 MPa 6₁ v ² = 1.611 cm ³ /g ML 3 cm³ = 1.8629 1.611 cm³/g Mwater = 1.862 g + 6,095g = 7.957g V = 11.485cm ³ /g = 3 my = 70cm³ 11.485 cm³/g = 6.0959

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Question

Can u do part c? I would appreciate if u could check parts a and b. Thanks

3.
A PVT cell containing pure water (H₂O) shows two equilibrium phases of vapor and
liquid at 336.75°C. Answer the questions below by using Appendix A.III of Sandler, "steam table."
What is the pressure (MPa) of the PVT cell?
The visual window of the PVT cell shows 70 cm³ of vapor and 3 cm³ of liquid at
What is the mass of water (a total of liquid water and vapor water) in the PVT cell?
Since the water in the PVT cell shows two equilibrium phases at the temperature
(and the corresponding pressure you answered in part a), it has no thermodynamic freedom
(F = 0). When an additional heat is given to the system while keeping the temperature at
336.75°C and the pressure (that you answered in part a), the volume increases from 73 cm³ to
80 cm³. Note that the system is closed; hence, the total mass of water remains the same as
Part b. What is the mass of liquid water, and what is the mass of vapor water?
a.
b.
C.
336.75°C.
a. 14 MPa
мра
6. v² = 1.611 cm ³ /g
m
L
3 cm³
1.8629
1.611 cm³/g
Mwater = 1.862 g +6.095 g = 7.9579
=
^v
✓ = 11-485 cm ³ /g
V
=
= 70cm³
11-485cm³/g
Mr =
=6.0959
Transcribed Image Text:3. A PVT cell containing pure water (H₂O) shows two equilibrium phases of vapor and liquid at 336.75°C. Answer the questions below by using Appendix A.III of Sandler, "steam table." What is the pressure (MPa) of the PVT cell? The visual window of the PVT cell shows 70 cm³ of vapor and 3 cm³ of liquid at What is the mass of water (a total of liquid water and vapor water) in the PVT cell? Since the water in the PVT cell shows two equilibrium phases at the temperature (and the corresponding pressure you answered in part a), it has no thermodynamic freedom (F = 0). When an additional heat is given to the system while keeping the temperature at 336.75°C and the pressure (that you answered in part a), the volume increases from 73 cm³ to 80 cm³. Note that the system is closed; hence, the total mass of water remains the same as Part b. What is the mass of liquid water, and what is the mass of vapor water? a. b. C. 336.75°C. a. 14 MPa мра 6. v² = 1.611 cm ³ /g m L 3 cm³ 1.8629 1.611 cm³/g Mwater = 1.862 g +6.095 g = 7.9579 = ^v ✓ = 11-485 cm ³ /g V = = 70cm³ 11-485cm³/g Mr = =6.0959
980 Appendix A.III: The Thermodynamic Properties of Water and Steam
Saturated Steam: Pressure Table (Continued)
Specific Volume
Sat.
Liquid
VL
Press. Temp
(MPa) (°C)
P
T
0.001 127
0.001 133
0.001 139
1.00 179.91
1.10 184.09
1.20 187.99
1.30 191.64
1.40 195.07
1.50 198.32
0.001 144
0.001 149
0.001 177
0.001 154
1.75 205.76 0.001 166
212.42
218.45
223.99
233.90
0.001 187
0.001 197
0.001 217
0.001 235
242.60
250.40
0.001 252
263.99
0.001 286
275.64
0.001 319
0.001 351
285.88
295.06 0.001 384
0.001 418
303.40
311.06
0.001 452
318.15
0.001 489
324.75 0.001 527
0.001 567
330.93
336.75 0.001 611
342.24 0.001 658
347.44 0.001 711
352.37
0.001 770
357.06
0.001 840
361.54
0.001 924
365.81
0.002 036
0.002 207
369.89
373.80
0.002 742
0.003 155
22.09 374.14
V [=] m³/kg;
Û, Ĥ [=] J/g = kJ/kg;
2.00
2.25
2.5
3.00
3.5
4
5
6
7
8
9
Sat.
Vapor
VV
10
11
12
13
14
15
16
17
18
19
20
21
22
0.194 44
0.177 53
0.163 33
0.151 25
0.140 84
0.131 77
0.113 49
0.099 63
0.088 75
0.079 98
0.066 68
0.057 07
0.049 78
0.039 44
0.032 44
0.027 37
0.023 52
0.020 48
0.018 026
0.015 987
0.014 263
0.012 780
0.011 485
0.010 337
0.009 306
0.008 364
0.007 489
0.006 657
0.005 834
0.004 952
0.003 568
0.003 155
Internal Energy
Enthalpy
Entropy
Sat.
Sat.
Sat.
Sat.
Liquid Evap. Vapor Liquid
Evap. Vapor
ΔΗ ĤV
ŚL
Ŝv
ĤL
762.81 2015.3 2778.1
2000.4 2781.7
761.68
1822.0
AS
2.1387 4.4478 6.5865
2.1792 4.3744
780.09
6.5536
1806.3
797.29 1791.5
2588.8
1986.2 2784.8
2.2166 4.3067
6.5233
813.44 1777.5
2591.0
2.2515 4.2438
6.4953
828.70 1764.1
2.2842 4.1850
6.4693
843.16 1751.3
6.4448
2583.6
2586.4 781.34
798.65
814.93 1972.7 2787.6
2592.8 830.30 1959.7 2790.6
2594.5 844.89 1947.3 2792.2 2.3150 4.1298
876.46 1721.4 2597.8 878.50 1917.9 2796.4 2.3851 4.0044 6.3896
906.44 1693.8 2600.3 908.79 1890.7 2799.5 2.4474 3.8935 6.3409
933.83 1668.2 2602.0 936.49 1865.2 2801.7 2.5035 3.7937 6.2972
959.11
1644.0 2603.1 962.11 1841.0 2803.1 2.5547 3.7028 6.2575
1004.78 1599.3 2604.1 1008.42 1795.7 2804.2 2.6457 3.5412 6.1869
1045.43 1558.3 2603.7 1049.75 1753.7 2803.4 2.7253 3.4000 6.1253
1082.31 1520.0 2602.3 1087.31 1714.1 2801.4 2.7964 3.2737 6.0701
1147.81 1449.3 2597.1 1154.23 1640.1 2794.3 2.9202 3.0532 5.9734
1205.44 1384.3 2589.7 1213.35 1571.0 2784.3 3.0267 2.8625 5.8892
1257.55 1323.0 2580.5 1267.00 1505.1 2772.1 3.1211 2.6922 5.8133
1305.57 1264.2 2569.8 1316.64 1441.3 2758.0 3.2068 2.5364
1350.51 1207.3 2557.8 1363.26 1378.9 2742.1 3.2858 2.3915
1393.04 1151.4 2544.4 1407.56 1317.1 2724.7 3.3596 2.2544
1433.7 1096.0
2529.8 1450.1 1255.5 2705.6
1473.0 1040.7 2513.7 1491.3 1193.6 2684.9
1511.1 985.0 2496.1 1531.5 1130.7 2662.2 3.5606 1.8718 5.4323
928.2 2476.8 1571.1
869.8 2455.5 1610.5
809.0 2431.7 1650.1
744.8 2405.0 1690.3
675.4 2374.3 1732.0
5.7432
5.6772
5.6141
3.4295 2.1233 5.5527
3.4962 1.9962 5.4924
1066.5 2637.6 3.6232 1.7485 5.3717
1000.0 2610.5 3.6848 1.6249 5.3098
930.6 2580.6 3.7461 1.4994 5.2455
856.9 2547.2 3.8079 1.3698
777.1 2509.1 3.8715 1.2329
5.1777
5.1044
1548.6
1585.6
1622.7
1660.2
1698.9
1739.9
1785.6
1842.1
1961.9
2029.6
598.1 2338.1 1776.5
5.0228
2409.7 4.0139 0.9130
4.9269
688.0 2464.5 3.9388 1.0839
583.4
446.2
143.4
507.5 2293.0 1826.3
388.5 2230.6 1888.4
125.2 2087.1 2022.2
2029.6 2099.3
2334.6 4.1075 0.6938 4.8013
2165.6 4.3110 0.2216
4.5327
0.0
4.4298
Ŝ [=] kJ/kg K
Sat.
Liquid
ÛL
Evap.
AU
Sat.
Vapor
ÛV
0.0 2099.3 4.4298 0.0
Transcribed Image Text:980 Appendix A.III: The Thermodynamic Properties of Water and Steam Saturated Steam: Pressure Table (Continued) Specific Volume Sat. Liquid VL Press. Temp (MPa) (°C) P T 0.001 127 0.001 133 0.001 139 1.00 179.91 1.10 184.09 1.20 187.99 1.30 191.64 1.40 195.07 1.50 198.32 0.001 144 0.001 149 0.001 177 0.001 154 1.75 205.76 0.001 166 212.42 218.45 223.99 233.90 0.001 187 0.001 197 0.001 217 0.001 235 242.60 250.40 0.001 252 263.99 0.001 286 275.64 0.001 319 0.001 351 285.88 295.06 0.001 384 0.001 418 303.40 311.06 0.001 452 318.15 0.001 489 324.75 0.001 527 0.001 567 330.93 336.75 0.001 611 342.24 0.001 658 347.44 0.001 711 352.37 0.001 770 357.06 0.001 840 361.54 0.001 924 365.81 0.002 036 0.002 207 369.89 373.80 0.002 742 0.003 155 22.09 374.14 V [=] m³/kg; Û, Ĥ [=] J/g = kJ/kg; 2.00 2.25 2.5 3.00 3.5 4 5 6 7 8 9 Sat. Vapor VV 10 11 12 13 14 15 16 17 18 19 20 21 22 0.194 44 0.177 53 0.163 33 0.151 25 0.140 84 0.131 77 0.113 49 0.099 63 0.088 75 0.079 98 0.066 68 0.057 07 0.049 78 0.039 44 0.032 44 0.027 37 0.023 52 0.020 48 0.018 026 0.015 987 0.014 263 0.012 780 0.011 485 0.010 337 0.009 306 0.008 364 0.007 489 0.006 657 0.005 834 0.004 952 0.003 568 0.003 155 Internal Energy Enthalpy Entropy Sat. Sat. Sat. Sat. Liquid Evap. Vapor Liquid Evap. Vapor ΔΗ ĤV ŚL Ŝv ĤL 762.81 2015.3 2778.1 2000.4 2781.7 761.68 1822.0 AS 2.1387 4.4478 6.5865 2.1792 4.3744 780.09 6.5536 1806.3 797.29 1791.5 2588.8 1986.2 2784.8 2.2166 4.3067 6.5233 813.44 1777.5 2591.0 2.2515 4.2438 6.4953 828.70 1764.1 2.2842 4.1850 6.4693 843.16 1751.3 6.4448 2583.6 2586.4 781.34 798.65 814.93 1972.7 2787.6 2592.8 830.30 1959.7 2790.6 2594.5 844.89 1947.3 2792.2 2.3150 4.1298 876.46 1721.4 2597.8 878.50 1917.9 2796.4 2.3851 4.0044 6.3896 906.44 1693.8 2600.3 908.79 1890.7 2799.5 2.4474 3.8935 6.3409 933.83 1668.2 2602.0 936.49 1865.2 2801.7 2.5035 3.7937 6.2972 959.11 1644.0 2603.1 962.11 1841.0 2803.1 2.5547 3.7028 6.2575 1004.78 1599.3 2604.1 1008.42 1795.7 2804.2 2.6457 3.5412 6.1869 1045.43 1558.3 2603.7 1049.75 1753.7 2803.4 2.7253 3.4000 6.1253 1082.31 1520.0 2602.3 1087.31 1714.1 2801.4 2.7964 3.2737 6.0701 1147.81 1449.3 2597.1 1154.23 1640.1 2794.3 2.9202 3.0532 5.9734 1205.44 1384.3 2589.7 1213.35 1571.0 2784.3 3.0267 2.8625 5.8892 1257.55 1323.0 2580.5 1267.00 1505.1 2772.1 3.1211 2.6922 5.8133 1305.57 1264.2 2569.8 1316.64 1441.3 2758.0 3.2068 2.5364 1350.51 1207.3 2557.8 1363.26 1378.9 2742.1 3.2858 2.3915 1393.04 1151.4 2544.4 1407.56 1317.1 2724.7 3.3596 2.2544 1433.7 1096.0 2529.8 1450.1 1255.5 2705.6 1473.0 1040.7 2513.7 1491.3 1193.6 2684.9 1511.1 985.0 2496.1 1531.5 1130.7 2662.2 3.5606 1.8718 5.4323 928.2 2476.8 1571.1 869.8 2455.5 1610.5 809.0 2431.7 1650.1 744.8 2405.0 1690.3 675.4 2374.3 1732.0 5.7432 5.6772 5.6141 3.4295 2.1233 5.5527 3.4962 1.9962 5.4924 1066.5 2637.6 3.6232 1.7485 5.3717 1000.0 2610.5 3.6848 1.6249 5.3098 930.6 2580.6 3.7461 1.4994 5.2455 856.9 2547.2 3.8079 1.3698 777.1 2509.1 3.8715 1.2329 5.1777 5.1044 1548.6 1585.6 1622.7 1660.2 1698.9 1739.9 1785.6 1842.1 1961.9 2029.6 598.1 2338.1 1776.5 5.0228 2409.7 4.0139 0.9130 4.9269 688.0 2464.5 3.9388 1.0839 583.4 446.2 143.4 507.5 2293.0 1826.3 388.5 2230.6 1888.4 125.2 2087.1 2022.2 2029.6 2099.3 2334.6 4.1075 0.6938 4.8013 2165.6 4.3110 0.2216 4.5327 0.0 4.4298 Ŝ [=] kJ/kg K Sat. Liquid ÛL Evap. AU Sat. Vapor ÛV 0.0 2099.3 4.4298 0.0
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