A regenerative Rankine Cycle operates on a boiler pressure of 10MPa and condenser pressure of 20kPa. Steam leaves the boiler at 600C. Steam is bled at 5MPa. Bled steam is sent to an open feed water heater. Turbine and pump efficiencies are 90% and 95% respectively. 10kg/s of steam passes through the condenser. SOLVE: a.) Determine the amount of steam passing through the boiler. (kg/s) b.) Determine the Work net of the cycle. (kW) c.) Determine thermal efficiency of the cycle. (% ) PLS USE THE GIVEN VALUES IN THE TABLE ATTACHED ANSWER ROUND OFF TO SIX SIGNIFICANT FIGURES

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 regenerative Rankine Cycle operates on a boiler pressure of 10MPa and condenser pressure of 20kPa. Steam leaves the boiler at 600C. Steam is bled at 5MPa. Bled steam is sent to an open feed water heater. Turbine and pump efficiencies are 90% and 95% respectively. 10kg/s of steam passes through the condenser.

SOLVE:

a.) Determine the amount of steam passing through the boiler. (kg/s)

b.) Determine the Work net of the cycle. (kW)

c.) Determine thermal efficiency of the cycle. (% )

PLS USE THE GIVEN VALUES IN THE TABLE ATTACHED

ANSWER ROUND OFF TO SIX SIGNIFICANT FIGURES

ETABLE 2: SATURATED WATER - PRESSURE TABLE
Specific Volume, m/kg
Internal Energy, KJ/kg
Enthalpy, KJ/kg
Entropy, KJ/(kg-K)
Press.
Sat. Temp.
Sat. Liquid Sat. Vapor Sat. Liquid
Evap.
Sat. Vapor Sat. Liquid
Evap.
Sat. Vapor Sat. Liquid
Evap.
Sat. Vapor
Кра
°c
vf
uf
0.00
ufg
hf
hfg
hg
2501.4
sf
0.0000
vg
ug
sfg
sg
0.6113
0.01
0.001000
206.14
2375.3
2375.3
0.01
2501.3
9.1562
9.1562
1.0
6.98
0.001000
129.21
29.30
2355.7
2385.0
29.30
2484.9
2514.2
0.1059
8.8697
8.9756
1.5
13.03
0.001001
87.98
54.71
2338.6
2393.3
54.71
2470.6
2525.3
0.1957
8.6322
8.8279
2.0
17.50
0.001001
67.00
73.48
2326.0
2399.5
73.48
2460.0
2533.5
0.2607
8.4630
8.7237
2.5
21.08
0.001002
54.25
88.48
2315.9
2404.4
88.49
2451.5
2540.0
0.3120
8.3312
8.6432
8.2231
8.0520
3.0
24.08
0.001003
45.67
101.04
2307.5
2408.5
101.05
2444.5
2545.5
0.3545
8.5776
4.0
28.96
0.001004
34.80
121.45
2293.8
2415.2
121.46
2432.9
2554.4
0.4226
8.4746
5.0
32.88
0.001005
28.19
137.81
2282.7
2420.5
137.82
2423.7
2561.5
0.4764
7.9187
8.3951
7,5
40.29
0.001008
19.24
168.78
2261.7
2430.5
168.79
2406.0
2574.8
0.5764
7.6751
8.2515
10
45.81
0.001010
14.67
191.82
2246.1
2437.9
191.83
2392.9
2584,7
0.6493
7.5009
8.1502
15
53.97
0.001014
10.02
225.92
2222.8
2448.7
225.94
2373.2
2599.1
0.7549
7,2536
8.0085
20
60.06
|0.001017
7.649
251.38
2205.3
2456.7
251.40
2358.3
2609.7
0.8320
7.0765
7.9085
25
64.97 0.001020
6.204
271.90
2191.2
2463.1 271.93
2346.3
2618.2
0.8931
6.9383
7.8314
CamScanner
Transcribed Image Text:ETABLE 2: SATURATED WATER - PRESSURE TABLE Specific Volume, m/kg Internal Energy, KJ/kg Enthalpy, KJ/kg Entropy, KJ/(kg-K) Press. Sat. Temp. Sat. Liquid Sat. Vapor Sat. Liquid Evap. Sat. Vapor Sat. Liquid Evap. Sat. Vapor Sat. Liquid Evap. Sat. Vapor Кра °c vf uf 0.00 ufg hf hfg hg 2501.4 sf 0.0000 vg ug sfg sg 0.6113 0.01 0.001000 206.14 2375.3 2375.3 0.01 2501.3 9.1562 9.1562 1.0 6.98 0.001000 129.21 29.30 2355.7 2385.0 29.30 2484.9 2514.2 0.1059 8.8697 8.9756 1.5 13.03 0.001001 87.98 54.71 2338.6 2393.3 54.71 2470.6 2525.3 0.1957 8.6322 8.8279 2.0 17.50 0.001001 67.00 73.48 2326.0 2399.5 73.48 2460.0 2533.5 0.2607 8.4630 8.7237 2.5 21.08 0.001002 54.25 88.48 2315.9 2404.4 88.49 2451.5 2540.0 0.3120 8.3312 8.6432 8.2231 8.0520 3.0 24.08 0.001003 45.67 101.04 2307.5 2408.5 101.05 2444.5 2545.5 0.3545 8.5776 4.0 28.96 0.001004 34.80 121.45 2293.8 2415.2 121.46 2432.9 2554.4 0.4226 8.4746 5.0 32.88 0.001005 28.19 137.81 2282.7 2420.5 137.82 2423.7 2561.5 0.4764 7.9187 8.3951 7,5 40.29 0.001008 19.24 168.78 2261.7 2430.5 168.79 2406.0 2574.8 0.5764 7.6751 8.2515 10 45.81 0.001010 14.67 191.82 2246.1 2437.9 191.83 2392.9 2584,7 0.6493 7.5009 8.1502 15 53.97 0.001014 10.02 225.92 2222.8 2448.7 225.94 2373.2 2599.1 0.7549 7,2536 8.0085 20 60.06 |0.001017 7.649 251.38 2205.3 2456.7 251.40 2358.3 2609.7 0.8320 7.0765 7.9085 25 64.97 0.001020 6.204 271.90 2191.2 2463.1 271.93 2346.3 2618.2 0.8931 6.9383 7.8314 CamScanner
TABLE 3-3: SUPERHEATED WATER
h
u
h
m'/kg
m'/kg
KJ/kg
KJ/kg
KJ/(kg-K)
m'/kg
к/kg
KJ/kg
KJ/(kg-K)
KJ/kg
P= 10.0 Mpa (311.06 "C)
2724.7
OC
KJ/kg
KJ/(kg-K)
P= 2.0 Mpa (212.42 "C)
P= 5.0 Mpa (263.99 "c)
Sat. Vap 0.018026
300
2544.4
5.6141
0.09963
2600,3
2799.5
6.3409
0.03944
2597.1
2794.3
5.9734
0.12547
2772.6
3023.5
6.7664
350
400
450
500
550
0.13857
2859.8
3137.0
6.9563
0.02641
2832.4
3096.5
6.2120
0.02975
2943.4
3240.9
6.4190
0.06330
2999.7
6.8186
6.9759
3316.2
0.03279
0.03564
3045.8
3373.7
6.5966
0.06857
3091.0
3433.8
3144.6
3500.9
6.7561
600
0.03837
3241.7 3625.3
6.9029
CamScanner
Transcribed Image Text:TABLE 3-3: SUPERHEATED WATER h u h m'/kg m'/kg KJ/kg KJ/kg KJ/(kg-K) m'/kg к/kg KJ/kg KJ/(kg-K) KJ/kg P= 10.0 Mpa (311.06 "C) 2724.7 OC KJ/kg KJ/(kg-K) P= 2.0 Mpa (212.42 "C) P= 5.0 Mpa (263.99 "c) Sat. Vap 0.018026 300 2544.4 5.6141 0.09963 2600,3 2799.5 6.3409 0.03944 2597.1 2794.3 5.9734 0.12547 2772.6 3023.5 6.7664 350 400 450 500 550 0.13857 2859.8 3137.0 6.9563 0.02641 2832.4 3096.5 6.2120 0.02975 2943.4 3240.9 6.4190 0.06330 2999.7 6.8186 6.9759 3316.2 0.03279 0.03564 3045.8 3373.7 6.5966 0.06857 3091.0 3433.8 3144.6 3500.9 6.7561 600 0.03837 3241.7 3625.3 6.9029 CamScanner
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