Water is the working fluid in a Rankine cycle. Steam exits the steam generator at 1500 lbf/in.2 and 11008F. 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 10008F, 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 1108F. The condensate is pumped to 1600 lbf/in.2 before entering the steam generator. The net power output of the cycle is 1 3 109 Btu/h. Cooling water experiences a temperature increase from 608F to 768F, 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.