Air compressor

A compressor takes in air at an absolute pressure of $P_1=14\mathrm{.}5$ psia, at a temperature of $300$ K with a mass flow rate of $10k\frac{g}{s}.$ The diameter of the compressor at the inlet $d_1=62cm.$ At the outlet, the pressure and temperature are $P_2=72\mathrm{.}5$ psia and $T_2=500K.$ The diameter at the outlet of the compressor is $d_2=19cm.$ The shaft driving the device supplies $2\mathrm{.}2$ MW of power. Calculate:

Average velocity of air entering the compressor.

Average velocity of air leaving the compressor.

Calculate the net rate of heat transfer from the compressor to the surroundings.