You have designed a compressor to compress air at 25C and 150 kPa to 280 C and 1100 kPa. Your compressor looses 20 kW of heat to the surrounding atmosphere at 20 C during its operation at steady state. For air entering the compressor at 0.5 kg/s, determine the isothermal efficiency (n) of your compressor (the ratio of compressor work required for a reversible and isothermal compression to the actual compressor work). Note that the rate of heat loss from the compressor would not be 20 kW in the reversible-isothermal operation case anymore. You can take Cp-air = 1.018 kJ/kg.K and Rair = 0.287 kJ/kg.K. Please show that mass, energy, and entropy balance solution.