Air enters and air compressor at a steady volume flow rate of 45 m^3/min. The air pressure increases from 100 to 700 KPa while heat is removed from the air at a rate of 20kW. The air temperature at the inlet to the compressor is 25 degrees Celsius, and the exit temperature is 150 degrees Celsius. The air leaves the compressor through a pipe with an area of 0.03 m^2. Determine the power necessary to operate the compressor under these conditions.