In the graph below, each unit on the horizontal axis is $\backslash (5\mathrm{.}0\backslash$mathrm$\{$~m$\}^\{3\}\backslash )$ and each unit on the vertical axis is $2\mathrm{.}5$ atm.

$($a$)$ A gas is compressed along the path AC$.$ What is the work done on the gas in this case? J

$($b$)$ If the gas is instead compressed along the path $\backslash ($ A B C $\backslash ),$ what is the work done on the gas? J

$($c$)$ What is the work done on the gas if the path of compression is along ADC?