Question

The equilibrium constant $\left(K\right)$ of a reaction may be written as:

• A. $K=e^{\Delta G/RT}$
• B. $K=e^{-\Delta G^{}/RT}$
• C. $K=e^{\Delta H/RT}$
• D. $K=e^{-\Delta H^{}/RT}$

Answer 1

Answer: (B)

$K=e^{-\Delta G^{}/RT}$

Gibbs free energy $\left(\Delta G^{}\right)$ is related with equilibrium constant $\left(K\right)$ as
$\Delta G^{}=-RT\ln K$
$-\frac{\Delta G^{}}{RT}=\ln K$
$\therefore K=e^{\frac{-\Delta G^{}}{RT}}$