A mixture of biogas contains mole fractions of 0.60 for methane and 0.40 for carbon dioxide. The cP value of this mixture is 0.62 kJ/kgK, and the ratio of specific heats (k = cP/cV) is 1.33. The biogas has a specific ideal gas constant of 0.30 kJ/kgK. 0.02 kg/s of the biogas at 35C and 100 kPa of pressure is compressed to 500 kPa of pressure (note that pressures are absolute). If the compression process is isentropic (ideal) what is the temperature of the compressed biogas? If the compression process has an adiabatic efficiency of 80% what is the temperature of the compressed biogas? What is the rate of work being done on the gas (kW) at the 80% adiabatic efficiency, and what is the kW input to the compressor motor if the motor/drive combination is 90% efficient?