Question

Two moles of an ideal gas are compressed isothermally $\left({100}^{\circ }C\right)$ and reversibly from a pressure of $10atm$ to $25atm$, then the free energy change is

• A. $+15.482kJ$
• B. $+10.462kJ$
• C. $+5.684kJ$
• D. $+3.364kJ$

Answer 1

The correct option is C $+5.684kJ$

For isothermal reversible process,
$W_{rev}=-2.303nRT\log \frac{P_1}{P_2}$
$=-2.303\times 2\times 8.314\times 373\log \frac{10}{25}$
$=+5684.1J=5.682kJ$