Question

$1$ mole of an ideal gas at ${25}^{o}C$ is allowed to expand reversible at constant temperature from a volume of $10litre$ to $20litre$. Calculate the work done by the gas in joule and calorie.

Answer 1

In isothermal reversibel expansion,we have;

$w=-2.303\ast nRTlog\frac{V_2}{V_1}$

$w=2.303\ast 1\ast 8.314\ast 298log\frac{20}{10}$

$w=2.303\ast 1\ast 8.314\ast 298log2$

$w=-1779.6J$

$w=2.303\ast 1\ast 2\ast 298log2=-206.6cal$