Air enters a compressor operating at steady state at a pressure of 1 bar, a temperature of 290 K, and a velocity of 6 m/s through an inlet with an area of 0.1 m^2. At the exit, the pressure is 7 bars, the temperature is 450 K, and the velocity is 2 m/s. Heat transfer from the compressor to the surroundings occurs at a rate of 180 KJ/min, Assuming an ideal gas, find the power input to the compressor in kW.