Water is the working fluid in a Rankine cycle. Steam exits the steam generator at 1500 lbf/in.² and 1100°F. Due to heat transfer and frictional effects in the line connecting the steam generator and turbine, the pressure and temperature at the turbine inlet are reduced to 1400 lbf/in.² and 1000°F, respectively. Both the turbine and pump have isentropic efficiencies of 85%. Pressure at the condenser inlet is 2 lbf/in.², but due to frictional effects the condensate exits the condenser at a pressure of 1.5 lbf/in.² and a temperature of 110°F. The condensate is pumped to 1600 lbf/in.² before entering the steam generator. The net power output of the cycle is 1x 10⁹ Btu/h. Cooling water experiences a temperature increase from 60°F to 76°F, with negligible pressure drop, as it passes through the condenser. Determine for the cycle: (a) the mass flow rate of steam, in lb/h. (b) the rate of heat transfer, in Btu/h, to the working fluid passing through the steam generator. (c) the percent thermal efficiency. (d) the mass flow rate of cooling water, in lb/h.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Water is the working fluid in a Rankine cycle. Steam exits the steam generator at 1500 lbf/in.² and 1100°F. Due to heat transfer and
frictional effects in the line connecting the steam generator and turbine, the pressure and temperature at the turbine inlet are
reduced to 1400 lbf/in.² and 1000°F, respectively. Both the turbine and pump have isentropic efficiencies of 85%. Pressure at the
condenser inlet is 2 lbf/ in.², but due to frictional effects the condensate exits the condenser at a pressure of 1.5 lbf/in.² and a
temperature of 110°F. The condensate is pumped to 1600 lbf/in.² before entering the steam generator. The net power output of the
cycle is 1x 10⁹ Btu/h. Cooling water experiences a temperature increase from 60°F to 76°F, with negligible pressure drop, as it passes
through the condenser.
Determine for the cycle:
(a) the mass flow rate of steam, in lb/h.
(b) the rate of heat transfer, in Btu/h, to the working fluid passing through the steam generator.
(c) the percent thermal efficiency.
(d) the mass flow rate of cooling water, in lb/h.
Part A
Your Answer
Correct Answer (Used)
Determine for the cycle the mass flow rate of steam, in lb/h.
m = 2131000
lb/h
Transcribed Image Text:Water is the working fluid in a Rankine cycle. Steam exits the steam generator at 1500 lbf/in.² and 1100°F. Due to heat transfer and frictional effects in the line connecting the steam generator and turbine, the pressure and temperature at the turbine inlet are reduced to 1400 lbf/in.² and 1000°F, respectively. Both the turbine and pump have isentropic efficiencies of 85%. Pressure at the condenser inlet is 2 lbf/ in.², but due to frictional effects the condensate exits the condenser at a pressure of 1.5 lbf/in.² and a temperature of 110°F. The condensate is pumped to 1600 lbf/in.² before entering the steam generator. The net power output of the cycle is 1x 10⁹ Btu/h. Cooling water experiences a temperature increase from 60°F to 76°F, with negligible pressure drop, as it passes through the condenser. Determine for the cycle: (a) the mass flow rate of steam, in lb/h. (b) the rate of heat transfer, in Btu/h, to the working fluid passing through the steam generator. (c) the percent thermal efficiency. (d) the mass flow rate of cooling water, in lb/h. Part A Your Answer Correct Answer (Used) Determine for the cycle the mass flow rate of steam, in lb/h. m = 2131000 lb/h
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