Nitrogen gas is compressed from 80 kPa and 27C to 480 kPa by a 10-kW compressor. Determine

Question:

Nitrogen gas is compressed from 80 kPa and 27°C to 480 kPa by a 10-kW compressor. Determine the mass flow rate of nitrogen through the compressor, assuming the compression process to be
(a) Isentropic,
(b) Polytropic with n = 1.3,
(c) Isothermal, and
(d) Ideal two-stage polytropic with n = 1.3.