Question

What is the entropy change when $1$ mole oxygen gas expands isothermally and reversibly from an initial volume of $10\, L$ to $100\, L$ at $300\, K$?

• A. $19.14 \,J\,K^{-1}$
• B. $109.12 \,J\,K^{-1}$
• C. $29.12 \,J\,K^{-1}$
• D. $10 \,J\,K^{-1}$

Answer 1

Answer: (A)

$\Delta S = 2.303nR\, log \frac{V_{2}}{V_{1}}$
$= 2.303 \times 1 \times 8.314 \,log \frac{100}{10}$
$= 19.14\,J\,K^{-1}$