A piston$$cylinder device initially contains $5\mathrm{.}50$ L of air at $100$ kPa and $25\backslash$deg C$.$ Air is now compressed to a final state of $600$ kPa and $150\backslash$deg C$.$ The useful work input is $1\mathrm{.}2$ kJ$.$ Assume the surroundings are at $100$ kPa and $25\backslash$deg C$.$

An illustration of a piston$-$cylinder device containing air at $100$ kilopascals pressure at $25$ degrees Celsius.

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.$)$