Question $8.$

A gas in a piston$-$cylinder assembly is compressed $($through a combination of external force on the piston and heat exchange$)$ in such a manner that the pressure and volume are related by $p{V}^n=$ constant. Given an initial state of $102\mathrm{.}1$ kPa and $0\mathrm{.}95m^3$ and a final volume of $0\mathrm{.}55m^3,$ evaluate the work transfer if:

$($i$)n=0$

$[3]$

$($ii$)n=1$

$[3]$

$($iii$)n=1\mathrm{.}195$

$[4]$