answer fast pls and correctly

15. [20 Marks) Consider a gas turbine power plant as shown below. Air enters an adiabatic compressor at 200 kPa and 300 K (Stream 1) and exits at 800 kPa and 500 K (Stream 2) at a mass flow rate of 100 kg/s. Heat is added to the heat exchanger such that the air temperature increases to 1200 K (Stream 3) before it enters an adiabatic turbine. The net power output of this cycle (i.e. power produced minus power consumed) is determined to be 18 MW. Assumptions: Steady flow throughout; no pressure drop across heat exchangers; negligible changes in kinetic and potential energies. Air can be treated as ideal with the following constant properties: R=0.287 kJ/kg. K, Cp= 1.005 kJ/kg.K. Cu = 0.718 kJ/kg.K; k = 1.4 (a) What is the power input into the compressor (MW)? (b) What is the isentropic efficiency of the turbine? (e) Determine Qin (MW). (d) Determine the thermal efficiency of the cycle. [4] [6] [5] [5] [4] [6] [5] [5] (a) What is the power input into the compressor (MW)? (b) What is the isentropic efficiency of the turbine? (c) Determine Qin (MW). (d) Determine the thermal efficiency of the cycle. lin 1 -N 2 3 Heat exchanger Compressor Turbine Win Wout Heat exchanger 1 4 1 Qout