A simple gas turbine is the topping cycle for a simple vapor power cycle. Air enters the compressor of the gas turbine at 101 kPa, 15 o C and mass flow rate of 23 kg/s. The compressor pressure ratio is 10 and the turbine inlet temperature is 1100 o C. The compressor and turbine have an isentropic efficiency of 85%. Air leaves the interconnecting heat exchanger at 200 o C and 101 kPa. Steam enters the turbine of the vapor power cycle at 7 MPa, 480 o C and expands to the condenser pressure of 7 kPa. Water enters the pump as saturated liquid at 7 kPa. The turbine and pump have isentropic efficiencies of 90% and 80%, respectively. Determine
(a) The mass flow rate (m⋅) of water and
(b) The net power output.
(c) The thermal efficiency (ηth) of the combined cycle