A steam power plant operates on a reheat-regenerative Rankine cycle with a closed feed water heater. Steam enters the turbine at 12 MPa, 500oC at a rate of 25 kg/s and is condensed in the condenser at a pressure of 20 kPa. Steam is reheated at 5 MPa to 500oC. Steam at a rate of 5 kg/s is extracted from the high pressure turbine at 1.2 MPa, and is completely condensed in the closed feed water heater, and pumped to 12 MPa before it mixes with the feed water at the same pressure. Assuming an isentropic efficiency of 88% for both the turbine and the pump, determine
(a) The temperature at the inlet of the closed feed water heater,
(b) The thermal efficiency (ηth,Rankine) of the cycle and
(c) The net power output.