Problem $2-2.$ Air enters a compressor operating at steady$-$state at $22C,100$kPa, and with a

volumetric flow rate of $9\frac{m^3}{m}in$ and exits from the compressor at $157C$ and $500$ kPa $.$ Cooling

water is circulated through a water jacket enclosing the compressor at a rate of $10k\frac{g}{m}in,$

entering at $15C$ and exiting at $23C$ with a negligible change in pressure. Calculate:

a$)$ the power input into the compressor, and

b$)$ the rate of entropy production for this process.