Determine the amount of heat added to the cycle in (kJ/s)

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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A Rankine Cycle operates on a boiler pressure of 9MPa. Steam leaves the boiler at 600C. Water enters the pump at 50C saturated liquid. The cycle receives 15000kg/hr of steam. Steam enters the reheater at 1MPa and enters the 2nd stage turbine at 600C. Considering a turbine and pump efficiency of 85% and 90% respectively,

a.) Determine the amount of heat added to the cycle in (kJ/s)

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

c.) Determine the Thermal Efficiency (%)

ROUND OFF ANSWERS TO SIG SIGNIFICANT FIGURES

PLS USE THE GIVEN IMAGE FOR THE STEAM TABLE USE THE GIVEN VALUES HIGHLIGHTED IN THE TABLE

TABLE 1: SATURATED WATER - TEMPERATURE TABLE
Specific Volume, m3/kg
Internal Energy, KJ/kg
Enthalpy, KJ/kg
Entropy, KJ/(kg-K)
Sat. Press.
Temp.
Oc
Sat. Liquid Sat. Vapor Sat. Liquid
Evap.
Sat. Vapor Sat. Liquid
Evap.
Sat. Vapor Sat. Liquid
Evap.
Sat. Vapor
Кра
T
Psat
vf
vg
uf
ufg
ug
hf
hfg
hg
sf
sfg
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
9.1562
5
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
188.44
209.32
45
9.593
0.001010
15,26
2248.4
2436.8
188.45
2394.8
2583.2
0.6387
7.5261
8.1648
50
12.349
0.001012
12.03
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
60
19.94
0.001017
7.671
251.11
2205.5
2456.6
251.13
2358.5
2609.6
0.8312
7.0784
7.9096
65
0.001020
272.02
0.8935
6.9375
6.8004
25.03
6.197
2191.1
2463.1
272.06
2346.2
2618.3
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
Transcribed Image Text:TABLE 1: SATURATED WATER - TEMPERATURE TABLE Specific Volume, m3/kg Internal Energy, KJ/kg Enthalpy, KJ/kg Entropy, KJ/(kg-K) Sat. Press. Temp. Oc Sat. Liquid Sat. Vapor Sat. Liquid Evap. Sat. Vapor Sat. Liquid Evap. Sat. Vapor Sat. Liquid Evap. Sat. Vapor Кра T Psat vf vg uf ufg ug hf hfg hg sf sfg 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 9.1562 5 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 188.44 209.32 45 9.593 0.001010 15,26 2248.4 2436.8 188.45 2394.8 2583.2 0.6387 7.5261 8.1648 50 12.349 0.001012 12.03 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 60 19.94 0.001017 7.671 251.11 2205.5 2456.6 251.13 2358.5 2609.6 0.8312 7.0784 7.9096 65 0.001020 272.02 0.8935 6.9375 6.8004 25.03 6.197 2191.1 2463.1 272.06 2346.2 2618.3 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
TABLE 3-1: SUPERHEATED WATER
V
OC
m3/kg
KJ/kg
KJ/kg
KJ/(kg-K)
P = 1.0 Mpa (179.91 OC)
Sat. Vap: 0.19444
2583.6
2778.1
6.5865
200
0.2060
2621.9
2827.9
6.6940
250:
0.2327
2709.9
2942.6
6.9247
300
0.2579
2793.2
3051.2
7.1229
350:
0.2825
2875.2
3157.7
7.3011
400;
0.3066
2957.3
3263.9
7.4651
500:
0.3541
3124.4
3478.5
7.7622
600 0.4011
3296.8
3697.9
8.0290
700:
0.4478
3475.3
3923.1
8.2731
800
0.4943
3660.4
4154.7
8.4996
900:
0.5407
3852.2
4392.9
8.7118
1000
0.5871
4050.5
4637.6
8.9119
1100
0.6335
4255.1
4888.6
9.1017
1200
0.6798
4465.6
5145.4
9.2822
1300
0.7261
4681.3
5407.4
9.4543
P = 9.0 Mpa (303.40 OC)
Sat. Vap: 0.02048
2557.8
2742.1
5.6772
325
0.02327
2646.6
2856.0
5.8712
350:
0.02580
2724,4
2956.6
6.0361
400:
0.02993
2848.4
3117.8
6.2854
450:
0.03350
2955.2
3256.6
6.4844
500: 0.03677
3055.2
3386.1
6.6576
550:
0.03987
3152.2
3511.0
6.8142
600
0.04285
3248.1
3633.7
6.9589
650 0.04574
3343.6
3755.3
7.0943
CamScanner
Transcribed Image Text:TABLE 3-1: SUPERHEATED WATER V OC m3/kg KJ/kg KJ/kg KJ/(kg-K) P = 1.0 Mpa (179.91 OC) Sat. Vap: 0.19444 2583.6 2778.1 6.5865 200 0.2060 2621.9 2827.9 6.6940 250: 0.2327 2709.9 2942.6 6.9247 300 0.2579 2793.2 3051.2 7.1229 350: 0.2825 2875.2 3157.7 7.3011 400; 0.3066 2957.3 3263.9 7.4651 500: 0.3541 3124.4 3478.5 7.7622 600 0.4011 3296.8 3697.9 8.0290 700: 0.4478 3475.3 3923.1 8.2731 800 0.4943 3660.4 4154.7 8.4996 900: 0.5407 3852.2 4392.9 8.7118 1000 0.5871 4050.5 4637.6 8.9119 1100 0.6335 4255.1 4888.6 9.1017 1200 0.6798 4465.6 5145.4 9.2822 1300 0.7261 4681.3 5407.4 9.4543 P = 9.0 Mpa (303.40 OC) Sat. Vap: 0.02048 2557.8 2742.1 5.6772 325 0.02327 2646.6 2856.0 5.8712 350: 0.02580 2724,4 2956.6 6.0361 400: 0.02993 2848.4 3117.8 6.2854 450: 0.03350 2955.2 3256.6 6.4844 500: 0.03677 3055.2 3386.1 6.6576 550: 0.03987 3152.2 3511.0 6.8142 600 0.04285 3248.1 3633.7 6.9589 650 0.04574 3343.6 3755.3 7.0943 CamScanner
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