Consider the re-heat regenerative cycle as shown in the figure below: Suppose that the boiler operates at a constant pressure of 15MPa. The High Pressure turbine expands steam until 4MPa. The Low-pressure turbine then achieves expansion to 700 kPa and 20 kPa. Determine the specific work of Pump II in kJ/kg.   a.3.66 b.0.69 c.15.23 d.15.84

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter9: Heat Transfer With Phase Change
Section: Chapter Questions
Problem 9.4DP
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Consider the re-heat regenerative cycle as shown in the figure below:

Suppose that the boiler operates at a constant pressure of 15MPa. The High Pressure turbine expands steam until 4MPa. The Low-pressure turbine then achieves expansion to 700 kPa and 20 kPa. Determine the specific work of Pump II in kJ/kg.

 

a.3.66
b.0.69
c.15.23
d.15.84

 

Boiler
Mixing
chamber
Reheater
1-0
Pump III
Closed
FWH
10
Pump II
High-P
turbine
Open
FWH
Low-P
turbine
1 12
Condenser
Pump I
1-y-z
13
Transcribed Image Text:Boiler Mixing chamber Reheater 1-0 Pump III Closed FWH 10 Pump II High-P turbine Open FWH Low-P turbine 1 12 Condenser Pump I 1-y-z 13
Saturated water-Pressure table
Sat.
Press., temp.,
PkPa Tsat °C
Sat.
Sat.
liquid, vapor,
V₂
V₁
1.0 6.97 0.001000 129.19
1.5 13.02 0.001001 87.964
2.0 17.50 0.001001 66.990
2.5 21.08 0.001002 54.242
3.0 24.08 0.001003 45.654
4.0 28.96 0.001004 34.791
5.0 32.87 0.001005 28.185
7.5 40.29 0.001008 19.233
45.81 0.001010 14.670
53.97 0.001014 10.020
OO5
10
15
Specific volume,
m³/kg
20
375
400
700
750
60.06 0.001017
141.30 0.001081
143.61 0.001084
Internal energy.
kJ/kg
450
500
121.39 2293.1
137.75 2282.1
168.74 2261.1
191.79 2245.4
225.93 2222.1
7.6481 251.40 2204.6 2456.0 251.42
0.49133 594.32 1956.6 2550.9 594.73
0.46242 604.22 1948.9 2553.1 604.66
147.90 0.001088 0.41392 622.65 1934.5 2557.1 623.14
151.83 0.001093 0.37483 639.54 1921.2 2560.7 640.09
550 155.46 0.001097 0.34261 655.16 1908.8 2563.9 655.77
600 158.83 0.001101 0.31560 669.72 1897.1 2566.8 670.38
650 161.98 0.001104 0.29260 683.37 1886.1 2569.4 684.08
164.95 0.001108 0.27278 696.23 1875.6 2571.8 697.00
167.75 0.001111 0.25552 708.40 1865.6 2574.0 709.24
179.88 0.001127 0.19436 761.39 1821.4 2582.8 762.51
779.78 1805.7 2585.5 781.03
796.96 1790.9 2587.8 798.33
813.10 1776.8 2589.9 814.59
828.35 1763.4 2591.8 829.96
842.82 1750.6 2593.4 844.55
1750 205.72 0.001166 0.11344 876.12 1720.6 2596.7 878.16
2000 212.38 0.001177 0.099587 906.12 1693.0 2599.1 908.47
2250 218.41 0.001187 0.088717 933.54 1667.3 2600.9 936.21
2500 223.95 0.001197 0.079952 958.87 1643.2 2602.1 961.87
3000 233.85 0.001217 0.066667 1004.6 1598.5 2603.2 1008.3
3500 242.56 0.001235 0.057061 1045.4 1557.6 2603.0 1049.7
4000 250.35 0.001252 0.049779 1082.4 1519.3 2601.7 1087.4
5000 263.94 0.001286 0.039448 1148.1 1448.9 2597.0 1154.5
6000 275.59 0.001319 0.032449 1205.8 1384.1 2589.9 1213.8
7000 285.83 0.001352 0.027378 1258.0 1323.0 2581.0 1267.5
13,000 330.85 0.001566 0.012781 1511.0 985.5 2496.6 1531.4
14,000 336.67 0.001610 0.011487 1548.4 928.7 2477.1 1571.0
15.000 342.16 0.001657 0.010341 1585.5 870.3 2455.7 1610.3
1000
1100 184.06 0.001133 0.17745
1200 187.96 0.001138 0.16326
1300 191.60 0.001144 0.15119
1400 195.04 0.001149 0.14078
1500 198.29 0.001154 0.13171
Sat.
liquid, Evap.,
Up
Sat.
vapor,
U₂
Sat.
Sat.
Sat.
Sat.
liquid, Evap.,
vapor, liquid, Evap., vapor,
512 5x
h₂
S₁
h
hoe
29.303 2484.4 2513.7 0.1059 8.8690 8.9749
54.688 2470.1 2524.7 0.1956 8.6314 8.8270
73.433 2459.5 2532.9 0.2606 8.4621 8.7227
88.424 2451.0 2539.4 0.3118 8.3302 8.6421
100.98 2443.9 2544.8 0.3543 8.2222 8.5765
2414.5 121.39 2432.3 2553.7 0.4224 8.0510 8.4734
2419.8 137.75 2423.0 2560.7 0.4762 7.9176 8.3938
2429.8 168.75 2405.3 2574.0 0.5763 7.6738 8.2501
2437.2 191.81 2392.1 2583.9 0.6492 7.4996 8.1488
2448.0 225.94 2372.3 2598.3 0.7549 7.2522 8.0071
29.302 2355.2 2384.5
54.686 2338.1 2392.8
73.431 2325.5 2398.9
88.422 2315.4 2403.8
100.98 2306.9 2407.9
Enthalpy,
kJ/kg
Entropy,
kJ/kg-K
2357.5 2608.9 0.8320 7.0752 7.9073
2140.4 2735.1 1.7526 5.1645 6.9171
2133.4 2738.1 1.7765 5.1191 6.8955
2120.3 2743.4 1.8205 5.0356 6.8561
2108.0 2748.1 1.8604 4.9603 6.8207
2096.6 2752.4 1.8970 4.8916 6.7886
2085.8 2756.2 1.9308 4.8285 6.7593
2075.5 2759.6 1.9623 4.7699 6.7322
2065.8 2762.8 1.9918 4.7153 6.7071
2056.4 2765.7 2.0195 4.6642 6.6837
2014.6 2777.1 2.1381 4.4470 6.5850
1999.6 2780.7 2.1785 4.3735 6.5520
1985.4 2783.8 2.2159 4.3058 6.5217
1971.9 2786.5 2.2508 4.2428 6.4936
1958.9 2788.9 2.2835 4.1840 6.4675
1946.4 2791.0 2.3143 4.1287 6.4430
1917.1 2795.2 2.3844 4.0033 6.3877
1889.8 2798.3 2.4467 3.8923 6.3390
1864.3 2800.5 2.5029 3.7926 6.2954
1840.1 2801.9 2.5542 3.7016 6.2558
1794.9 2803.2 2.6454 3.5402 6.1856
1753.0 2802.7 2.7253 3.3991 6.1244
1713.5 2800.8 2.7966 3.2731 6.0696
1639.7 2794.2 2.9207 3.0530 5.9737
1570.9 2784.6 3.0275 2.8627 5.8902
1505.2 2772.6 3.1220 2.6927 5.8148
1131.3 2662.7 3.5606 1.8730 5.433
1067.0 2637.9 3.6232 1.7497 5.372
1000.5 2610.8 3.6848 1.6261 5.310
Transcribed Image Text:Saturated water-Pressure table Sat. Press., temp., PkPa Tsat °C Sat. Sat. liquid, vapor, V₂ V₁ 1.0 6.97 0.001000 129.19 1.5 13.02 0.001001 87.964 2.0 17.50 0.001001 66.990 2.5 21.08 0.001002 54.242 3.0 24.08 0.001003 45.654 4.0 28.96 0.001004 34.791 5.0 32.87 0.001005 28.185 7.5 40.29 0.001008 19.233 45.81 0.001010 14.670 53.97 0.001014 10.020 OO5 10 15 Specific volume, m³/kg 20 375 400 700 750 60.06 0.001017 141.30 0.001081 143.61 0.001084 Internal energy. kJ/kg 450 500 121.39 2293.1 137.75 2282.1 168.74 2261.1 191.79 2245.4 225.93 2222.1 7.6481 251.40 2204.6 2456.0 251.42 0.49133 594.32 1956.6 2550.9 594.73 0.46242 604.22 1948.9 2553.1 604.66 147.90 0.001088 0.41392 622.65 1934.5 2557.1 623.14 151.83 0.001093 0.37483 639.54 1921.2 2560.7 640.09 550 155.46 0.001097 0.34261 655.16 1908.8 2563.9 655.77 600 158.83 0.001101 0.31560 669.72 1897.1 2566.8 670.38 650 161.98 0.001104 0.29260 683.37 1886.1 2569.4 684.08 164.95 0.001108 0.27278 696.23 1875.6 2571.8 697.00 167.75 0.001111 0.25552 708.40 1865.6 2574.0 709.24 179.88 0.001127 0.19436 761.39 1821.4 2582.8 762.51 779.78 1805.7 2585.5 781.03 796.96 1790.9 2587.8 798.33 813.10 1776.8 2589.9 814.59 828.35 1763.4 2591.8 829.96 842.82 1750.6 2593.4 844.55 1750 205.72 0.001166 0.11344 876.12 1720.6 2596.7 878.16 2000 212.38 0.001177 0.099587 906.12 1693.0 2599.1 908.47 2250 218.41 0.001187 0.088717 933.54 1667.3 2600.9 936.21 2500 223.95 0.001197 0.079952 958.87 1643.2 2602.1 961.87 3000 233.85 0.001217 0.066667 1004.6 1598.5 2603.2 1008.3 3500 242.56 0.001235 0.057061 1045.4 1557.6 2603.0 1049.7 4000 250.35 0.001252 0.049779 1082.4 1519.3 2601.7 1087.4 5000 263.94 0.001286 0.039448 1148.1 1448.9 2597.0 1154.5 6000 275.59 0.001319 0.032449 1205.8 1384.1 2589.9 1213.8 7000 285.83 0.001352 0.027378 1258.0 1323.0 2581.0 1267.5 13,000 330.85 0.001566 0.012781 1511.0 985.5 2496.6 1531.4 14,000 336.67 0.001610 0.011487 1548.4 928.7 2477.1 1571.0 15.000 342.16 0.001657 0.010341 1585.5 870.3 2455.7 1610.3 1000 1100 184.06 0.001133 0.17745 1200 187.96 0.001138 0.16326 1300 191.60 0.001144 0.15119 1400 195.04 0.001149 0.14078 1500 198.29 0.001154 0.13171 Sat. liquid, Evap., Up Sat. vapor, U₂ Sat. Sat. Sat. Sat. liquid, Evap., vapor, liquid, Evap., vapor, 512 5x h₂ S₁ h hoe 29.303 2484.4 2513.7 0.1059 8.8690 8.9749 54.688 2470.1 2524.7 0.1956 8.6314 8.8270 73.433 2459.5 2532.9 0.2606 8.4621 8.7227 88.424 2451.0 2539.4 0.3118 8.3302 8.6421 100.98 2443.9 2544.8 0.3543 8.2222 8.5765 2414.5 121.39 2432.3 2553.7 0.4224 8.0510 8.4734 2419.8 137.75 2423.0 2560.7 0.4762 7.9176 8.3938 2429.8 168.75 2405.3 2574.0 0.5763 7.6738 8.2501 2437.2 191.81 2392.1 2583.9 0.6492 7.4996 8.1488 2448.0 225.94 2372.3 2598.3 0.7549 7.2522 8.0071 29.302 2355.2 2384.5 54.686 2338.1 2392.8 73.431 2325.5 2398.9 88.422 2315.4 2403.8 100.98 2306.9 2407.9 Enthalpy, kJ/kg Entropy, kJ/kg-K 2357.5 2608.9 0.8320 7.0752 7.9073 2140.4 2735.1 1.7526 5.1645 6.9171 2133.4 2738.1 1.7765 5.1191 6.8955 2120.3 2743.4 1.8205 5.0356 6.8561 2108.0 2748.1 1.8604 4.9603 6.8207 2096.6 2752.4 1.8970 4.8916 6.7886 2085.8 2756.2 1.9308 4.8285 6.7593 2075.5 2759.6 1.9623 4.7699 6.7322 2065.8 2762.8 1.9918 4.7153 6.7071 2056.4 2765.7 2.0195 4.6642 6.6837 2014.6 2777.1 2.1381 4.4470 6.5850 1999.6 2780.7 2.1785 4.3735 6.5520 1985.4 2783.8 2.2159 4.3058 6.5217 1971.9 2786.5 2.2508 4.2428 6.4936 1958.9 2788.9 2.2835 4.1840 6.4675 1946.4 2791.0 2.3143 4.1287 6.4430 1917.1 2795.2 2.3844 4.0033 6.3877 1889.8 2798.3 2.4467 3.8923 6.3390 1864.3 2800.5 2.5029 3.7926 6.2954 1840.1 2801.9 2.5542 3.7016 6.2558 1794.9 2803.2 2.6454 3.5402 6.1856 1753.0 2802.7 2.7253 3.3991 6.1244 1713.5 2800.8 2.7966 3.2731 6.0696 1639.7 2794.2 2.9207 3.0530 5.9737 1570.9 2784.6 3.0275 2.8627 5.8902 1505.2 2772.6 3.1220 2.6927 5.8148 1131.3 2662.7 3.5606 1.8730 5.433 1067.0 2637.9 3.6232 1.7497 5.372 1000.5 2610.8 3.6848 1.6261 5.310
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