A gas refrigeration system composed of a turbine, a compressor, and two heat exchangers is operating at steady state. Air enters the compressor at 100 kPa, 250 K and exits at 700 kPa. The compressor has an isentropic efficiency of 0.84 and a total power input of 150 kW. The hot heat exchanger transfers 90 kW of energy to the surroundings. The isentropic efficiency of the turbine is 0.89. Determine the rate of energy transfer to the cold heat exchanger, the net power input to the cycle, the mass flow rate in the cycle, and the coefficient of performance of the cycle. Draw a T-s diagram of the process through the cycle. Neglect any changes in kinetic and potential energy, pressure drop through the heat exchangers, and heat transfer from the compressor and turbine. Assume that air behaves as an ideal gas with constant specific heats with cp =1.003 kJ/(kgK).