A combined cycle power system uses a simple gas-turbine Braytoncycle in conjunction with a simple Rankine cycle to produce a totalpower of 100 MW. In such configuration, the exhaust stream from thegas turbine is used as the heat source for the steam power cycle ina heat exchanger as shown in the figure. The following data areknown for the gas-turbine cycle. Atmospheric air enters thecompressor at 100 kPa and 20oC, the compressor pressure ratio is 8,the compressor isentropic efficiency is 85%, the maximum gas cycletemperature is 1100oC, and the gas turbine isentropic efficiency is90%. Additionally, it is known that the gas stream leaves the heatexchanger at the saturation temperature of the steam flowingthrough it. The following data are known for the steam-turbinecycle. Steam flows through the heat exchanger with a pressure of6000 kPa, leaving at 320oC, the steam-cycle condenser operates at20 kPa, and the isentropic efficiency of the steam turbine is90%.

(a) Schematically draw the complete system including all theequipment required for the analysis. Additionally, sketch thecorresponding thermodynamic diagrams for the Brayton and Rankinecycles involved. Assign a different number to each stream and usesuch number in the diagrams.

(b) Find the power generation efficiency of the gas-turbine.

(c) Find the power generation efficiency of the Rankinecycle.

(d) Find the steam-turbine power, the gas-turbine power, and thetotal efficiency of the combined cycle.