(Solved): A combined gas turbine-vapor power plant has a net power output of \( 45 \mathrm{MW} \). Air enters ...

A combined gas turbine-vapor power plant has a net power output of \( 45 \mathrm{MW} \). Air enters the compressor of the gas turbine at \( 100 \mathrm{kPa}, 300 \mathrm{~K} \), and is compressed to \( 1200 \mathrm{kPa} \). The isentropic efficiency of the compressor is \( 84 \% \). The condition at the inlet to the turbine is \( 1200 \mathrm{kPa}, 1400 \mathrm{~K} \). Air expands through the turbine, which has an isentropic efficiency of \( 88 \% \), to a pressure of \( 100 \mathrm{kPa} \). The air then passes through the interconnecting heat-recovery steam generator and is finally discharged at \( 400 \mathrm{~K} \). Steam enters the turbine of the vapor power cycle at \( 8 \mathrm{MPa}, 400^{\circ} \mathrm{C} \), and expands to the condenser pressure of \( 8 \mathrm{kPa} \). Water enters the pump as saturated liquid at \( 8 \mathrm{kPa} \). The turbine and pump of the vapor cycle have isentropic efficiencies of 90 and \( 80 \% \), respectively. 1. Determine the mass flow rates of the air and the steam, each in \( \mathrm{kg} / \mathrm{s} \) 2. Determine the net power developed by the gas turbine and vapor power cycle, each in MW 3. Determine the thermal efficiency.