One mole of a monoatomic gas and one mole of a diatomic gas are initially in the same state. Both gases are expanded isothermally and then adiabatically, such that they acquire the same final state. Choose the correct statement.
KVPY 2018, Diffcult
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$(a)$ Expansion curves are as shown below.
As, slope of an adiabatic curve $=-\gamma\left(\frac{p}{V}\right)$
Also, $\gamma_{\text {diatomic }}\left(=\frac{7}{5}\right) < \gamma_{\text {monoatomic }}\left(=\frac{5}{3}\right)$
So, adiabatic expansion will be more stecp for monoatomic gas, whereas isotherms for both gases are nearly same. As, work done $=$ area under $p-V$ graph
$\therefore$ Work done is more for diatomic gas.
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