Air is compressed steadily in a compressor from 100 kPa and 400 K to 1 MPa and 500 K, at a rate of 20 kg/s. The compressor is not well insulated, and a heat loss of 40 kJ/kg occurs during the process. Assuming the changes in kinetic and potential energies are negligible, determine the power input to the compressor, in kW.

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