NEET UG CHEMISTRY MCQ: THERMODYNAMICS

If one mole of a gas initially at $300 \mathrm{~K}$ is heated to $500 \mathrm{~K}$. The Gibb's free energy change, $\Delta \mathrm{G}$ for this gas is given by $3.38 \times 10^{\mathrm{X}} \mathrm{J}$.

Given : $\mathrm{S}=1.5+3 \times 10^{-3} \mathrm{~T}\left(\mathrm{JK}^{-1} \mathrm{~mol}^{-1}\right)$ and $\mathrm{C}_{\mathrm{v}}=1.5 \mathrm{R}$. Then the value $\mathrm{X}$ is :