Question: a schematic of your gas turbine heat engine is presented...

A schematic of your gas turbine heat engine is presented below:

The pressure and temperature of the air entering into the compressor is 100 kPa and 42 °C, respectively.

a) Assuming variable specific heat capacity for the air, what are its temperature and enthalpy as the air leaves the compressor that has an isentropic efficiency of 80 percent? b) What is the mass flow rate through the system if the volumetric flow rate entering the compressor at state 1 is 850 m3 /min, in units of kg/s? (R = 0.287 kJ/kg·K) c) Use the energy balance equation to determine the heat loss in the turbine if the actual work out from the turbine is 13.5 MW? d) Determine the entropy change in the air during the process from state 3 to state 4, in units of kJ/K? (R = 0.287 kJ/kg·K) e) Use the entropy balance equation to determine how much entropy is generated during the process from state 3 to state 4, in units of kJ/K? The temperature of the surroundings, T0 = 25 °C. f) What is the amount of heat into the gas turbine heat engine through Heat Exchanger #1 described in the schematic above, in units of kW? g) What is the net work out from the gas turbine heat engine in the schematic above, in units of kW? h) What is the thermal efficiency of the gas turbine heat engine in the schematic above?