Please answer all parts

Problem 2 (30 points) A gas turbine takes in air at 25C,1atm and produces 50MW of net power with a pressure ratio of 18.0. If the isentropic efficiencies of the turbine and compressor are both 0.90, and the turbine inlet temperature is 1200C, answer the following questions using air standard analysis, taking k =1.4 and cp=1.03kJ/kgK : a) Calculate all temperatures, T1T4, in K, and tabulate at the end. b) Calculate the back-work ratio, that is, the fraction of the work produced by the turbine consumed by the compressor c) Calculate the thermal efficiency d) Calculate the mass flow rate, in kg/s e) Suppose the gas turbine exhaust is cooled to 150C through a heat exchanger designed to boil water to use for space heating in a Combined Heat and Power system. Calculate the thermal efficiency of the system, if it is defined as follows: CHP=QcombustorWnet+Qheat You may assume that the heat exchanger is ideal, in other words, that the thermal energy extracted from the exhaust is equal to the space heating energy delivered