Air flows steadily at the rate of 1 kg/s through an air compressor at 10 m/s, 100 kPa and 1 m³/kg and leaving at 6 m/s, 800 kPa and 0.2 m³/kg. The internal energy of the air leaving is 100 kJ/kg greater than the air entering. Cooling water in the compressor jacket absorbs heat from air at the rate of 100 kW. Find the rate of work done.