Question
An ideal gas expands in such a way that $PV^2 =$ constant throughout the process.

Answer

From ideal gas equation, $PV =nRT$

$\Rightarrow \mathrm{VT}=\mathrm{constant}$

$\Rightarrow \mathrm{V}$ is inversely proportional to $\mathrm{T}$

$\Rightarrow$ expansion causes increase in $\mathrm{V}$

$\Rightarrow$ it leads to decrease in $T$

$\Rightarrow$ gas is cooled

So correct option is $d$

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