Solution Found!
Water is the working fluid in a Rankine cycle. Steam exits
Chapter 8, Problem 8.23(choose chapter or problem)
Water is the working fluid in a Rankine cycle. Steam exits the steam generator at 1500 lbf/in.\(^{2}\) and 1100\(^{\circ}\)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\(^{\circ}\)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\(^{\circ}\)F. The condensate is pumped to 1600 lbf/in.\(^{2}\) before entering the steam generator. The net power output of the cycle is 1 X 10\(^{9}\) Btu/h. Cooling water experiences a temperature increase from 60\(^{\circ}\)F to 76\(^{\circ}\)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 thermal efficiency.
(d) the mass flow rate of cooling water, in lb/h.
Questions & Answers
QUESTION:
Water is the working fluid in a Rankine cycle. Steam exits the steam generator at 1500 lbf/in.\(^{2}\) and 1100\(^{\circ}\)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\(^{\circ}\)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\(^{\circ}\)F. The condensate is pumped to 1600 lbf/in.\(^{2}\) before entering the steam generator. The net power output of the cycle is 1 X 10\(^{9}\) Btu/h. Cooling water experiences a temperature increase from 60\(^{\circ}\)F to 76\(^{\circ}\)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 thermal efficiency.
(d) the mass flow rate of cooling water, in lb/h.
ANSWER:Step 1 of 14
The T-s diagram of the Rankine cycle can be represented as,
The properties of super heated water vapor corresponding to the pressure 
The properties of saturated water corresponding to the pressure 
