Question

The work done in ergs for the reversible expansion of 1 mole of an ideal gas from a volume of 10 litres to 20 litres at $25^{\circ}C$ is

• A. $-2.303 \times 298 \times 0.082\, log \,2$
• B. $-298 \times 107 \times 8.31 \times \,2.3031 \,log 2$
• C. $-2.303 \times 298 \times 0.082\, log\, 0.5$
• D. $-8.31 \times 107 \times 298 \times 2.303\, log\, 0.5$

Answer 1

Answer: (B)

$W = -2.303 n RT\frac{V_2}{V_1}$
$= -2.303 \times 1 \times 8.314 \times 107 \times 298\, log\, \frac{20}{10}$
$= -298 \times 10^{7} \times 8.314 \times 2.303\, log\,2$