Air enters a compressor operating at steady state at a pressure of $1$ bar, a Temperature of $290$ K and a velocity of $6\frac{m}{s}$ through an inlet with an area of $0\mathrm{.}1m^2.$ At the exit the pressure is $7$ bar $,$ the temperature is $450$ K $,$ and the velocity is $2\frac{m}{s}.$ Heat transfer from the compressor to its surroundings occurs at a rate of $180k\frac{J}{m}in.$ Assuming idea gas properties, calculate the compressor power requirement in kW$.$ Please cite your source for air property data.