A two-stage reciprocating air compressor is required to deliver 0.70 kg/sec of air from 98.6 kPa and 305K to 1276 kPa. The compressor operates at 205 RPM, compression and re-expansion processes are PV^1.25 = C, and both cylinders have 3.5% clearance. There is a 20 KPa pressure drop in the intercooler. The LP cylinder discharges at the optimum pressure into the intercooler. The air enters the HP cylinder at 310K. The intercooler is water-cooled with the water entering at 295K and leaving at 305K. Determine the motor power required if motor efficiency is 85%.
According to the source, the answer should be 260 kW