Question

Find the work done when one mole of the gas is expanded reversibly and isothermally from 5 atm to 1 atm at ${25}^{0}C$.

Answer 1

In isothermal process

$W=nRT\ln \left(\frac{P_2}{P_1}\right)=nRT\ln \left(\frac{V_1}{V_2}\right)$

$\therefore W=1\times R\times 298\times \ln \left(\frac{5}{1}\right)$

$=298\times R\times \ln 5$

$=9.298\times \frac{25}{3}\times \ln 5J$

$=3996.77J$