Question

I mole of an ideal gas at $25^{o}C$ is subjected to expand reversibility $10times$ of its initial volume. Calculate the change in entropy of expansion.

Answer 1

As we know that, for a reversible expansion, change in entropy of expansion is given as-

$\Delta S=2.303nR\log \left(\frac{V_f}{V_i}\right)$

Let $V$ be the initial volume of the system.

Given:-

$n=1\text{mole}$

$V_i=V$

$V_f=10V$

$\therefore \Delta S=2.303\times 1\times 8.314\times \log \left(\frac{10V}{V}\right)$

$\Rightarrow \Delta S=19.147J$

Hence the change in entropy of expansion is $19.147J$.