In the graph below, each unit on the horizontal axis is $\backslash (4\mathrm{.}0\backslash$mathrm$\{$~m$\}^\{3\}\backslash )$ and each unit on the vertical axis is $5\mathrm{.}0$ atm.

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

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How is the work done related to the area under the curve? What is the difference between work done by the gas and on the gas? J

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

What is the work done along the path where the volume is constant? J

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

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What is the work done along the path where the volume is constant? J