Air at 100 kPa and 280 K is compressed steadily to 600 kPa and 400 K. The mass flow rate of the air is 0.02 kg/s, and a heat loss of 16 kJ/kg occurs during the process. The enthalpies of air at 280 and 400 K are 280.13 and 400.98 kJ/kg, respectively. Assuming the changes in kinetic and potential energies are negligible, determine

a) The necessary power input to the compressor.

b) List the assumptions that you make for question a).