In a water-cooled air compressor, the inlet pressure and temperature are 100 kPa and 298 K, respectively. Air leaves the compressor at a pressure of 500 kPa. The compression process follows the law Pv1.3 = constant and heat rejected to the cooling water amounts to 35 kW/kg of air. Assuming a mass flow of 2 kg/s and neglecting kinetic and potential energy change, determine the power input to the compressor.