Air flows steadily at the rate of 0.5 kg/s through an air compressor, entering at 7 m/s speed, 100 kPa pressure and 0.95 m³ /kg specific volume, and leaving at 5 m/s, 700 kPa, and 0.19 m³ /kg. The internal energy of the air leaving is 90 kJ/kg greater than that of the air entering. Cooling water in the compressor jackets absorbs heat from the air at the rate of 58 kW. Compute the work in kW.

Air flows steadily at the rate of 0.5 kg/s through an air compressor, entering at 7 m/s speed, 100 kPa pressure and 0.95 m³ /kg specific volume, and leaving at 5 m/s, 700 kPa, and 0.19 m³ /kg. The internal energy of the air leaving is 90 kJ/kg greater than that of the air entering. Cooling water in the compressor jackets absorbs heat from the air at the rate of 58 kW. Compute the work in kW.