Consider a reheat-regenerative vapor power cycle with two feed water heaters, a closed feed water heater and an open feed water heater. Steam enters the first turbine at 10 MPa, 500oC and expands to 0.8 MPa. The steam is reheated to 440oC before entering the second turbine, where it expands to the condenser at a pressure of 0.007 MPa. Steam is extracted from the first turbine at 2 MPa and fed to the closed feed water heater. Feed water leaves the closed heater at 205oC, 10 MPa and condensate exits as saturated liquid at 2 MPa. The condensate is trapped into the open feed water heater. Steam extracted from second turbine at 0.3 MPa is also fed into the open feed water heater, which operates at 0.3 MPa. The steam exiting the open feed water heater is saturated liquid at 0.3 MPa. The net power output of the cycle is 100 MW. There is no stray heat transfer from any component to its surroundings. If the working fluid experiences no irreversibilities as it passes through the turbines, pumps, steam generator, reheater and condenser, determine
(a) The thermal efficiency (ηth) of the cycle and
(b) The mass flow rate of steam entering the first turbine.