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  4. One mole of an ideal gas at 25°C is subjected to expand reversibly ten times of its initial volume. The change in entropy of expansion is

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Q. One mole of an ideal gas at $25°C$ is subjected to expand reversibly ten times of its initial volume. The change in entropy of expansion is

Thermodynamics

Solution:

$\Delta S=\frac{q}{T}=\frac{2.303nRT}{T}log\frac{V_{2}}{V_{1}}$
$=2.303\times1\times8.314 log 10$
$=19.15JK ^{-1} mol^{-1}$