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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

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
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
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
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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