An ideal Rankine cycle operates between the pressure limits of 15,000 kPa in the boiler and 15 kPa in the condenser. If the turbine inlet temperature is 500 deg C and the cycle produces 2500 kW of net work, determine the mass flow rate of the steam in kg/s. Refer to the tables below. a. 1.993 b. 2.122 c. 1.856 d. 2.016
An ideal Rankine cycle operates between the pressure limits of 15,000 kPa in the boiler and 15 kPa in the condenser. If the turbine inlet temperature is 500 deg C and the cycle produces 2500 kW of net work, determine the mass flow rate of the steam in kg/s. Refer to the tables below. a. 1.993 b. 2.122 c. 1.856 d. 2.016
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 ideal Rankine cycle operates between the pressure limits of 15,000 kPa in the boiler and 15 kPa in the condenser. If the turbine inlet temperature is 500 deg C and the cycle produces 2500 kW of net work, determine the mass flow rate of the steam in kg/s. Refer to the tables below.
a. 1.993
b. 2.122
c. 1.856
d. 2.016

Transcribed Image Text:Saturated water-Pressure table
Sat.
Press., temp.,
PkPa
Sat.
Sat.
liquid, vapor,
V₂
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
10
15
20
25
30
40
50
Specific volume,
m³/kg
Tat °C Vr
T
C
Sat.
liquid,
U₁
V
U
h
S
m³/kg kJ/kg kJ/kg kJ/kg-K
Internal energy.
kJ/kg
P-15.0 MPa (342.16°C)
Sat. 0.010341 2455.7 2610.8 5.3108
350 0.011481 2520.9 2693.1 5.4438
400 0.015671 2740.6 2975.7 5.8819
450 0.018477 2880.8 3157.9 6.1434
500 0.020828 2998.4 3310.8 6.3480
550 0.022945 3106.2 3450.4 6.5230
600 0.024921 3209.3 3583.1 6.6796
650 0.026804 3310.1 3712.1 6.8233
700 0.028621 3409.8 3839.1 6.9573
800 0.032121 3609.3 4091.1 7.2037
900 0.035503 3811.2 4343.7 7.4288
1000 0.038808 4017.1 4599.2 7.6378
1100 0.042062 4227.7 4858.6 7.8339
1200 0.045279 4443.1 5122.3 8.0192
1300 0.048469 4663.3 5390.3 8.1952
Sat.
Evap., vapor,
7.5
29.302 2355.2 2384.5 29.303 2484.4 2513.7 0.1059 8.8690 8.9749
54.686 2338.1 2392.8 54.688 2470.1 2524.7 0.1956 8.6314 8.8270
73.431 2325.5 2398.9 73.433 2459.5 2532.9 0.2606 8.4621 8.7227
88.422 2315.4 2403.8 88.424 2451.0 2539.4 0.3118 8.3302 8.6421
100.98 2306.9 2407.9 100.98 2443.9 2544.8 0.3543 8.2222 8.5765
4.0 28.96 0.001004 34.791 121.39 2293.1 2414.5 121.39 2432.3 2553.7 0.4224 8.0510 8.4734
5.0 32.87 0.001005 28.185 137.75 2282.1 2419.8 137.75 2423.0 2560.7 0.4762 7.9176 8.3938
40.29 0.001008 19.233 168.74 2261.1 2429.8 168.75 2405.3 2574.0 0.5763 7.6738 8.2501
45.81 0.001010 14.670 191.79 2245.4 2437.2 191.81 2392.1 2583.9 0.6492 7.4996 8.1488
53.97 0.001014 10.020 225.93 2222.1 2448.0 225.94 2372.3 2598.3 0.7549 7.2522 8.0071
7.6481 251.40 2204.6 2456.0 251.42 2357.5 2608.9 0.8320 7.0752 7.9073
6.2034 271.93 2190.4 2462.4 271.96 2345.5 2617.5 0.8932 6.9370 7.8302
5.2287 289.24 2178.5 2467.7 289.27 2335.3 2624.6 0.9441 6.8234 7.7675
75.86 0.001026 3.9933 317.58 2158.8 2476.3 317.62 2318.4 2636.1 1.0261 6.6430 7.6691
81.32 0.001030 3.2403 340.49 2142.7 2483.2 340.54 2304.7 2645.2 1.0912 6.5019 7.5931
91.76 0.001037 2.2172 384.36 2111.8 2496.1 384.44 2278.0 2662.4 1.2132 6.2426 7.4558
100 99.61 0.001043 1.6941 417.40 2088.2 2505.6 417.51 2257.5 2675.0 1.3028 6.0562 7.3589
101.325 99.97 0.001043 1.6734 418.95 2087.0 2506.0 419.06 2256.5 2675.6 1.3069 6.0476 7.3545
125 105.97 0.001048 1.3750 444.23 2068.8 2513.0 444.36 2240.6 2684.9 1.3741 5.9100 7.2841
150 111.35 0.001053 1.1594 466.97 2052.3 2519.2 467.13 2226.0 2693.1 1.4337 5.7894 7.2231
Superheated water (Concluded)
60.06 0.001017
64.96 0.001020
69.09 0.001022
75
Sat.
liquid,
he
Enthalpy,
kJ/kg
Sat. Sat.
Sat.
Evap., vapor, liquid, Evap., vapor,
Sp Sp
hog
St
Entropy,
kJ/kg-K
V
U
h S
m3/kg kJ/kg kJ/kg kJ/kg-K
P-17.5 MPa (354.67°C)
0.007932 2390.7 2529.5 5.1435
0.012463 2684.3 2902.4 5.7211
0.015204 2845.4 3111.4 6.0212
0.017385 2972.4 3276.7 6.2424
0.019305 3085.8 3423.6 6.4266
0.021073 3192.5 3561.3 6.5890
0.022742 3295.8 3693.8 6.7366
0.024342 3397.5 3823.5 6.8735
0.027405 3599.7 4079.3 7.1237
0.030348 3803.5 4334.6 7.3511
0.033215 4010.7 4592.0 7.5616
0.036029 4222.3 4852.8 7.7588
0.038806 4438.5 5117.6 7.9449
0.041556 4659.2 5386.5 8.1215
V
U
S
h
m³/kg kJ/kg kJ/kg kJ/kg-K
P-20.0 MPa (365.75°C)
0.005862 2294.8 2412.1 4.9310
0.009950 2617.9 2816.9 5.5526
0.012721 2807.3 3061.7 5.9043
0.014793 2945.3 3241.2 6.1446
0.016571 3064.7 3396.2 6.3390
0.018185 3175.3 3539.0 6.5075
0.019695 3281.4 3675.3 6.6593
0.021134 3385.1 3807.8 6.7991
0.023870 3590.1 4067.5 7.0531
0.026484 3795.7 4325.4 7.2829
0.029020 4004.3 4584.7 7.4950
0.031504 4216.9 4847.0 7.6933
0.033952 4433.8 5112.9 7.8802
0.036371 4655.2 5382.7 8.0574
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