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Problem $09\mathrm{.}042-$ Piston air compression

A piston$-$cylinder device initially contains $2\mathrm{.}50$ L of air at $100$ kPa and $25C.$ Air is now compressed to a final state of $600$ kPa and $150C.$ The useful work input is $1\mathrm{.}2$ kJ $.$ Assume the surroundings are at $100$ kPa and $25C.$

A$.$ Determine the exergy of the air at the initial and the final states. The gas constant of air is R$=0\mathrm{.}287$ kPa.m$^3/$kg$.$K $.$ Use the table containing the ideal$-$gas specific heats of various common gases. $($Round the final answer to three decimal places.$)$

B$.$ Determine the minimum work that must be supplied to accomplish this compression process $($Round the final answer to three decimal places$)$

C$.$ Determine the second law efficiency of this process.