A Rankine cycle with regeneration has one open and one closed feedwater heat. Steam leaves the boiler at 1400psi, 1000°F and expands to 500 psi where a portion of the steam is extracted to the closed feedwater heater. Condensate exits the closed feedwater heater saturated at 500 psi and is trapped into the open feedwater heater operating at 120 psi. The feedwater leaves the closed feedwater heater at 1400 psi at a temperature equal to the saturation temperature at 500psi. The remaining steam expands through the second stage turbine to 120 psi where some of the steam is extracted to the open feedwater heater. Saturated liquid exits the open feedwater heater. The remaining steam expands through the third state turbine to the condenser which is operating at a pressure of 2 psi. Consider the pumps and turbines to operate adiabatically and to all have isentropic efficiencies of 85%. The net power output of the cycle is 1 x 109 Btu/hr. Calculate:
a) the mass flow rate of steam through the first turbine
b) the rate of heat transfer in Btu/hr to the into the steam generator
c) the thermal efficienc