Question

Calculate $\Delta G$ (in bar $L$) when a definite mass of a monoatomic ideal gas at $1$ bar and ${27}^{o}C$ is expanded adiabatically against vacuum from $10L$ to $20L$ ($\ln 2=0.7$)

Answer 1

$\Delta G=nRT\ln \left(\frac{V_2}{V_1}\right)$

For Ideal gas, expansion/compression.

No. of moles of gas $=\frac{0.987\times 10}{0.0821\times 300}=0.4$ $moles$

$⟹\Delta G=0.4\times 8.314\times \ln 2\times 300=698.376$ $J$

In Litres bars $=6.98376$ $L-bar$