An Actual Rankine cycle operates on a boiler and condenser pressure of 2MPa and 20kPa respectively. Steam leaves the boiler at 500C. Steam flows at a rate of 10kg/s in the cycle. The Turbine and Pump Efficiency are provided to be 87% and 89% respectively. a.) Determine the Heat Added to the boiler (kJ/s) b.) Determine the Work done by the pump (kJ/kg) c.) Determine the Thermal Efficiency of the Cycle (%)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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An Actual Rankine cycle operates on a boiler and condenser pressure of 2MPa and 20kPa respectively. Steam leaves the boiler at 500C. Steam flows at a rate of 10kg/s in the cycle. The Turbine and Pump Efficiency are provided to be 87% and 89% respectively.

a.) Determine the Heat Added to the boiler (kJ/s)

b.) Determine the Work done by the pump (kJ/kg)

c.)  Determine the Thermal Efficiency of the Cycle (%)

ROUND OFF ANSWER TO SIX SIGNIFICANT FIGURES

PLS USE THE GIVEN VALUES THAT IS HIGHLIGHTED IN THE IMAGE OF THE STEAM TABLE AND SUPERHEATED TABLE PLSS USE THIS VALUES

 

TABLE 1: SATURATED WATER - TEMPERATURE TABLE
Specific Volume, m3/kg
Internal Energy, KJ/kg
Enthalpy, KJ/kg
Entropy, KJ/(kg-K)
Temp.
Sat. Press.
Sat. Liquid Sat. Vapor Sat. Liquid
Evap.
Sat. Vapor Sat. Liquid
Evap.
Sat. Vapor Sat. Liquid
Evap.
Sat. Vapor
Кра
sf
sfg
9.1562
T.
Psat
vf
vg
uf
ufg
ug
hf
hfg
hg
sg
0.01
0.6113
0.001000
206.14
0.00
2375.3
2375.3
0.01
2501.3
2501.4
0.0000
9.1562
0.8721
0.001000
147.12
20.97
2361.3
2382.3
20.98
2489.6
2510.6
0.0761
8.9496
9.0257
10
1.2276
0.001000
106.38
42.00
2347.2
2389.2
42.01
2477.7
2519.8
0.1510
8.7498
8.9008
15
1.7051
0.001001
77.93.
62.99
2333.1
2396.1
62.99
2465.9
2528.9
0.2245
8.5569
8.7814
20
2.339
0.001002
57.79
83.95
2319.0
2402.9
83,96
2454.1
2538.1
0.2966
8.3706
8.6672
25
3.169
0.001003
43.36
104.88
2304.9
2409.8
104.89
2442.3
2547.2
0.3674
8.1906
8.5580
30
4.246
0.001004
32.89
125.78
2290.8
2416.6
125.79
2430.5
2556.3
0.4369
8.0164
8.4533
35
5.628
0.001006
25.22
146.67
2276.7
2423,4
146.68
2418.6
2565.3
0.5053
7.8478
8.3531
40
7,384
0.001008
19.52
167.56
2262.5
2430.1
167.57
2406.7
2574.3
0.5725
7.6845
8.2570
45
9.593
0.001010
15.26
188.44
2248.4
2436.8
188.45
2394.8
2583.2
0.6387
7.5261
8.1648
50
12.349
0.001012
12.03
209.32
2234.2
2443.5
209.33
2382.7
2592.1
0.7038
7.3725
8.0763
55
15.758
0.001015
9.568
230.21
2219.9
2450.1
230.23
2370,7
2600.9
0.7679
7.2234
7.9913
7.671
251.11
2205.5
2456.6
251.13
2358.5
2609.6
0.8312
7.0784
7.9096
60
19.94
0.001017
2191.1
2463.1
272.06
2346.2
2618.3
0.8935
6.9375
6.8004
65
25.03
0.001020
6.197
272.02
7.8310
70
31.19
0.001023
5.042
292.95
2176.7
2469.6
292.98
2333.8
2626.8
0.9549
7.7553
75
38.58
0.001026
4.131
313.90
2162.0
2475.9
313.93
2321.4
2635.3
1.0155
6.6669
7.6824
80
47.39
0,001029
3.407
334.86
2147.3
2482.2
334.91
2308.8
2643.7
1.0753
6.5369
7.6122
85
57.83
0.001033
2.828
355.84
2132.6
2488.4
355.90
2296.0
2651.9
1.1343
6.4102
7.5445
90
70.14
0,001036
2.361
376.85
2117.7
2494.5
376.92
2283.2
2660.1
1.1925
6.2866
7.4791
95
84.55
0.001040
1.982
397.88
2102.7
2500.6
397.96
2270.2
2668.1
'1.2500
6.1659
7,4159
CamScanner
000
Transcribed Image Text:TABLE 1: SATURATED WATER - TEMPERATURE TABLE Specific Volume, m3/kg Internal Energy, KJ/kg Enthalpy, KJ/kg Entropy, KJ/(kg-K) Temp. Sat. Press. Sat. Liquid Sat. Vapor Sat. Liquid Evap. Sat. Vapor Sat. Liquid Evap. Sat. Vapor Sat. Liquid Evap. Sat. Vapor Кра sf sfg 9.1562 T. Psat vf vg uf ufg ug hf hfg hg sg 0.01 0.6113 0.001000 206.14 0.00 2375.3 2375.3 0.01 2501.3 2501.4 0.0000 9.1562 0.8721 0.001000 147.12 20.97 2361.3 2382.3 20.98 2489.6 2510.6 0.0761 8.9496 9.0257 10 1.2276 0.001000 106.38 42.00 2347.2 2389.2 42.01 2477.7 2519.8 0.1510 8.7498 8.9008 15 1.7051 0.001001 77.93. 62.99 2333.1 2396.1 62.99 2465.9 2528.9 0.2245 8.5569 8.7814 20 2.339 0.001002 57.79 83.95 2319.0 2402.9 83,96 2454.1 2538.1 0.2966 8.3706 8.6672 25 3.169 0.001003 43.36 104.88 2304.9 2409.8 104.89 2442.3 2547.2 0.3674 8.1906 8.5580 30 4.246 0.001004 32.89 125.78 2290.8 2416.6 125.79 2430.5 2556.3 0.4369 8.0164 8.4533 35 5.628 0.001006 25.22 146.67 2276.7 2423,4 146.68 2418.6 2565.3 0.5053 7.8478 8.3531 40 7,384 0.001008 19.52 167.56 2262.5 2430.1 167.57 2406.7 2574.3 0.5725 7.6845 8.2570 45 9.593 0.001010 15.26 188.44 2248.4 2436.8 188.45 2394.8 2583.2 0.6387 7.5261 8.1648 50 12.349 0.001012 12.03 209.32 2234.2 2443.5 209.33 2382.7 2592.1 0.7038 7.3725 8.0763 55 15.758 0.001015 9.568 230.21 2219.9 2450.1 230.23 2370,7 2600.9 0.7679 7.2234 7.9913 7.671 251.11 2205.5 2456.6 251.13 2358.5 2609.6 0.8312 7.0784 7.9096 60 19.94 0.001017 2191.1 2463.1 272.06 2346.2 2618.3 0.8935 6.9375 6.8004 65 25.03 0.001020 6.197 272.02 7.8310 70 31.19 0.001023 5.042 292.95 2176.7 2469.6 292.98 2333.8 2626.8 0.9549 7.7553 75 38.58 0.001026 4.131 313.90 2162.0 2475.9 313.93 2321.4 2635.3 1.0155 6.6669 7.6824 80 47.39 0,001029 3.407 334.86 2147.3 2482.2 334.91 2308.8 2643.7 1.0753 6.5369 7.6122 85 57.83 0.001033 2.828 355.84 2132.6 2488.4 355.90 2296.0 2651.9 1.1343 6.4102 7.5445 90 70.14 0,001036 2.361 376.85 2117.7 2494.5 376.92 2283.2 2660.1 1.1925 6.2866 7.4791 95 84.55 0.001040 1.982 397.88 2102.7 2500.6 397.96 2270.2 2668.1 '1.2500 6.1659 7,4159 CamScanner 000
TABLE 3-2: SUPERHEATED WATER,
T
V
h
m3/kg
KJ/kg
KJ/kg
P = 2.0 Mpa (212.42 OC)
oc
KJ/(kg-K)
Sat. Vap 0.09963
2600.3
2799.5
6.3409
225
0.10377
2628.3
2835.8
6.4147
250:
0.11144
2679.6
2902.5
6.5453
300
0.12547
2772.6
3023.5
6.7664
350
0.13857
2859.8
3137.0
6.9563
400:
0.15120
2945.2
3247.6
7.1271
500
0.17568
3116.2
3467.6
7.4317
600:
0.19960
3290.9
3690.1
7.7024
700;
0.2232
3470.9
3917.4
7.9487
800
0.2467
3657.0
4150.3
8.1765
900;
0.2700
3849.3
4389.4
8.3895
1000:
0.2933
4048.0
4634.6
8.5901
1100:
0.3166
4252.7
4885.9
8.7800
5142.9
8.9607
1200;
1300:
0.3398
4463.3
0.3631
4679.0
5405.1
9.1329
CamScanner
Transcribed Image Text:TABLE 3-2: SUPERHEATED WATER, T V h m3/kg KJ/kg KJ/kg P = 2.0 Mpa (212.42 OC) oc KJ/(kg-K) Sat. Vap 0.09963 2600.3 2799.5 6.3409 225 0.10377 2628.3 2835.8 6.4147 250: 0.11144 2679.6 2902.5 6.5453 300 0.12547 2772.6 3023.5 6.7664 350 0.13857 2859.8 3137.0 6.9563 400: 0.15120 2945.2 3247.6 7.1271 500 0.17568 3116.2 3467.6 7.4317 600: 0.19960 3290.9 3690.1 7.7024 700; 0.2232 3470.9 3917.4 7.9487 800 0.2467 3657.0 4150.3 8.1765 900; 0.2700 3849.3 4389.4 8.3895 1000: 0.2933 4048.0 4634.6 8.5901 1100: 0.3166 4252.7 4885.9 8.7800 5142.9 8.9607 1200; 1300: 0.3398 4463.3 0.3631 4679.0 5405.1 9.1329 CamScanner
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