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Q. Five moles of an ideal gas expands reversibly from a volume of $8\, dm^3$ to $80\, dm^3$ at a temperature of $27^{\circ}C$. Calculate the change in entropy.

Thermodynamics

Solution:

Entropy change $\left(\Delta S\right)=2.303 nRT log \frac{V_{2}}{V_{1}}$
$=2.303\times5\times8.314\times log \frac{80}{8}=95.73 JK^{-1} $