Water is the working fluid in a regenerative rankine cycle with one closed feedwater heater and one open feedwater heater. steam enters the turbine at 1400 lbf/in^2 and 1000 deg f and expands to 500 lbf/in^2, where some of the steam is extracted and diverted to the closed feedwater heater. condensate exiting the closed feedwater heater as saturated liquid at 500 lbf/in^2 undergoes a throttling process to 120 lbf/in^2 as it passes through a trap into the open feedwater heater. the feedwater leaves the closed feedwater heater at 1400 lbf/in^2 and a temperature equal to the saturation temperature at 500 lbf/in^2 the remaining steam expands through the second-stage turbine to 120 lbf/in^2, where some of the steam is extracted and diverted to the open feedwater heater operating at 120 lbf/in^2 saturated liquid exits the open feedwater heater at 120 lbf/in^2. the remaining steam expands through the third-stage turbine to the condenser pressure of 2 lbf/in^2 the turbine stages and the pumps each operates adiabatically with isentropic efficiencies of 85%. flow through the condenser, closed feedwater heater, open feedwater heater, and steam generator is at constant pressure. the net power output of the cycle is 1 *10^9 btu/h. determine for the cycle: (a) the mass flow rate of steam entering the first stage of the turbine, 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.