A single$-$stage single acting reciprocating air compressor has a bore of $250$ mm and stroke of $300$ mm$.$ The clearance volume is $4\%$ of the stroke. It receives air at $1$ bar and $270$ C and delivers it at $10$ bar. If the compression follows the law PV $1\mathrm{.}2=$ C and the expansion follows the law PV $1\mathrm{.}3=$ C$,$ determine the following