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  4. The entropy change (in cal K -1 m o l -1 ) when one mole of an ideal gas at 27° C is expanded reversibly from one litre to 10 litre is

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Q. The entropy change (in cal $K ^{-1} \,m o l ^{-1}$ ) when one mole of an ideal gas at $27^{\circ} C$ is expanded reversibly from one litre to $10$ litre is

Solution:

$\Delta S=2.303 n R \log \left(\frac{V_{2}}{V_{1}}\right) $
$=2.303 \times 1 \times 2 \times \log (10)$
$=4.606 \,cal \,K ^{-1}\, mol ^{-1}$