QUESTION $5$

A compressor used to deliver $2\mathrm{.}10k\frac{g}{m}in$ of high pressure air requires $7\mathrm{.}966$ kW to operate. At the compressor inlet, the air is at $100$ kPa and $26\mathrm{.}85C.$ The air exits the compressor at $576$ kPa and $256\mathrm{.}85C.$ Heat transfer to the surroundings occurs where the outer surface $($boundary$)$ temperature is at $329\mathrm{.}3C.$ Determine the rate of entropy production $(k\frac{W}{K})$ within the compressor if the air is modeled as an ideal gas with variable specific heats.

Note: Give your answer to six decimal places.