An ideal gas is subjected to an isothermal expansion such that its volume changes from $V_i$ to $V_f$ and pressure from $P_i$ to $P_f$. The work done on the gas is :
AIIMS 2011, Easy
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The work done in expansion of gas
$\mathrm{W}=\mathrm{nRT}\, \ell n \frac{\mathrm{V}_{\mathrm{f}}}{\mathrm{V}_{\mathrm{i}}}=\mathrm{nRT}\, \ell n \frac{\mathrm{P}_{1}}{\mathrm{P}_{\mathrm{f}}}$
The work done on the gas
$=-n R T \ell n\left(\frac{P_{f}}{P_{1}}\right)$
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