Determine for the cycle: (a) the mass flow rate of steam entering the first stage of the turbine, in lb/h. (b) the rate of exergy input, in Btu/h, to the working fluid passing through the steam generator. (c) the magnitude of the exergy output, in Btu/h, of the net power output. (d) th

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Determine for the cycle: (a) the mass flow rate of steam entering the first stage of the turbine, in lb/h. (b) the rate of exergy input, in Btu/h, to the working fluid passing through the steam generator. (c) the magnitude of the exergy output, in Btu/h, of the net power output. (d) the magnitude of the exergy loss in the condenser, in Btu/h. (e) the exergy destroyed in the tubine, in Btu/h. (f) the exergy destroyed in the open feedwater heater, in Btu/h.
State h (Btu/lb) s (Btu/lb-°R)
1
1611
1.685
2
1473
1.703
1473
1.703
4
1575
1.773
1398
1.8
6
1099
1.89
7
94.12
0.1751
94.54
0.1758
312.5
0.4917
10
317.5
0.4979
11
449.6
0.6491
12
449.6
0.6491
13
449.6
0.663
3.
Transcribed Image Text:State h (Btu/lb) s (Btu/lb-°R) 1 1611 1.685 2 1473 1.703 1473 1.703 4 1575 1.773 1398 1.8 6 1099 1.89 7 94.12 0.1751 94.54 0.1758 312.5 0.4917 10 317.5 0.4979 11 449.6 0.6491 12 449.6 0.6491 13 449.6 0.663 3.
Water is the working fluid in a reheat-regenerative Rankine cycle with one closed feedwater heater and one open feedwater heater.
Steam enters the turbine at 1400 lbf/in.? and 1200°F and expands to 500 lbf/in.?, where some of the steam is extracted and diverted
to the closed feedwater heater. Condensate exiting the closed feedwater heater as saturated liquid at 500 Ibf/in.? undergoes a
throttling process to 120 Ibf/in.? as it passes through a trap into the open feedwater heater.
The feedwater leaves the closed feedwater heater at 1400 Ibf/in.2 and a temperature equal to the saturation temperature at 500
Ibf/in.? The remaining steam is reheated to 1100°F before entering the second-stage turbine, where it expands to 120 Ibf/in.? Some of
the steam is extracted and diverted to the open feedwater heater operating at 120 lbf/in.2 Saturated liquid exits the open feedwater
heater at 120 Ibf/in.2
The remaining steam expands through the third-stage turbine to the condenser pressure of 2 Ibf/in.2 The turbine stages and the
pumps each operate adiabatically with isentropic efficiencies of 85%. Flow through the condenser, closed feedwater heater, open
feedwater heater, steam generator, and reheater is at constant pressure. The net power output of the cycle is 2 x 10° Btu/h. Let To =
60°F, Po = 14.7 Ibf/in.? The table below provides steady-state operating data for the cycle.
Transcribed Image Text:Water is the working fluid in a reheat-regenerative Rankine cycle with one closed feedwater heater and one open feedwater heater. Steam enters the turbine at 1400 lbf/in.? and 1200°F and expands to 500 lbf/in.?, where some of the steam is extracted and diverted to the closed feedwater heater. Condensate exiting the closed feedwater heater as saturated liquid at 500 Ibf/in.? undergoes a throttling process to 120 Ibf/in.? as it passes through a trap into the open feedwater heater. The feedwater leaves the closed feedwater heater at 1400 Ibf/in.2 and a temperature equal to the saturation temperature at 500 Ibf/in.? The remaining steam is reheated to 1100°F before entering the second-stage turbine, where it expands to 120 Ibf/in.? Some of the steam is extracted and diverted to the open feedwater heater operating at 120 lbf/in.2 Saturated liquid exits the open feedwater heater at 120 Ibf/in.2 The remaining steam expands through the third-stage turbine to the condenser pressure of 2 Ibf/in.2 The turbine stages and the pumps each operate adiabatically with isentropic efficiencies of 85%. Flow through the condenser, closed feedwater heater, open feedwater heater, steam generator, and reheater is at constant pressure. The net power output of the cycle is 2 x 10° Btu/h. Let To = 60°F, Po = 14.7 Ibf/in.? The table below provides steady-state operating data for the cycle.
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