Air enters the compressor of a gas-turbine plant at ambient conditions of 100 kPa and 32 °C with a low velocity and exits at 1 MPa and 367 °C with a velocity of 6 x 10^3 m/min. The compressor is cooled at a rate of 1800 kJ/min, and the power input to the compressor is 250 kW. Determine the mass flow rate of air through the compressor.