A gas turbine generating set operates with two compressor stages with inter-cooling between stages. Air enters the low-pressure compressor at 0.8 kg/s and 15C and 100 kPa. Inter-cooling is done by adiabatically mixing the air leaving the first compressor at 174 C and 425 kPa with air from an upstream process coming in at 2 C and 425 kPa, cooling the air to 20 C before it enters the 2nd compressor stage. From the combustion chamber the gas enters the high-pressure turbine at 850 C. The gas steam is removed from the turbine at 890 K and is re-heated back to 1123 K in a second stage combustor before expansion through the low-pressure turbine. The gas leaving the cycle is at a pressure of 115 kPa. Neglect the mass of fuel the changes in kinetic energy for the system Assume constant heat capacity in the system and ideal operation. 10 Heat Exchanger CCP CLP The TU . CCO 12 11 throding device Giren: HP compressor stage Turbines Isentropic efficiency 1 0.86 Pressure ratio 2.8 Not specified a) Calculate the isentropic efficiency of the low-pressure compressor b) Calculate the mass flow rate of the cooling air added to the system. c) Calculate the temperature and give the pressure at points 4 to 10 in the cycle. Assume isentropic efficiency of the high-pressure compressor = 0.9. d) Calculate the efficiency and the back-work ratio for this cycie