Solve the problem proposed below and upload the report including EES program in the platform. In the CO2 transcritical compression refrigeration cycle (a), the evaporating temperature is -10C, the outlet gas cooler temperature 31C, the compressor inlet temperature 0C and the isentropic efficiency of the compressor calculated through the equation nc= 0.9343-0.04478 R, where R is the compression pressure ratio. The refrigerant leaves the evaporator as superheated vapour at -5C. The refrigeration capacity is 50 kW. (1) Optimize the maximum pressure to achieve maximum COP. At this optimal high pressure, calculate the rate of heat dissipated in the gas cooler by the refrigerant, the compression power required and the COP of the cycle. (2) Repeat the calculations for the modified cycle (b) in which the compressor is replaced by a two-stage compressor with an intercooler between the compression stages. Assume that the temperature of the refrigerant at the inlet of the high- pressure compressor is the ambient temperature, 31C. The intermediate pressure is the geometric mean of low and high pressures of the cycle. (3) Repeat the calculations for the cycle (c) where the expansion valve is replaced by an expander with an isentropic efficiency of 70% Expansion valve Gas Cooler Evaporator (a) Compressor Expansion valve Gas Cooler Compressor Intercooler Evaporator (b) Compressor Expander Gas Cooler Compressor Intercooler Compressor Evaporator (c)