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Q. Two moles of an ideal gas is expanded isothermally and reversibly from $5$ to $1 $ bar at $298 \,K$ . The change in entropy (in $JK^{-1})$ of the system is

Thermodynamics

Solution:

The entropy change during isothermal reversible expansion,
$\Delta S=nR$ ln $\frac{p_{1}}{p_{2}}=2\times8.314\times ln \left(\frac{5}{1}\right)$
$=2 \times 8.314 \times 1.61=26.77\,JK^{-1}$