Question

The change in free energy accompanied by the isothermal reversible expansion of 1 mole of an ideal gas when it doubles its volume is $\Delta G_1$. The change in free energy accompanied by a sudden isothermal irreversible doubling volume of 1 mole of the same gas is $\Delta G_2$. The ratio of $\Delta G_1$ and $\Delta G_2$ is :

• A. $1$
• B. $\frac{1}{2}$
• C. $2$
• D. $\frac{3}{2}$

Answer 1

Answer: (A)

$1$

The Gibb's free energy of the system is a state function.

Moving from state $1$ to $2,\Delta G$ will be the same irrespective of the type of process.

$\therefore \frac{\Delta G_1}{\Delta G_2}=1$