Question

Which of the following expressions are correct to express reaction quotient/equilibrium constant of a reaction?

• A. $K=e^{-{\Delta }_{r}H/RT}\times e^{{\Delta }_{r}S/RT}$
• B. ${\Delta }_{r}G=-RT\ln K$
• C. $\Delta G=\Delta G^o+RT\ln Q$
• D. Equilibrium constant $K$ is dimension less in terms of relative activity

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A $K=e^{-{\Delta }_{r}H/RT}\times e^{{\Delta }_{r}S/RT}$
B ${\Delta }_{r}G=-RT\ln K$
C $\Delta G=\Delta G^o+RT\ln Q$
D Equilibrium constant $K$ is dimension less in terms of relative activity

$K=e^{-{\Delta }_{r}G/RT}$----------------(1)

Put $G=H-TS$, we get

$K=e^{-{\Delta }_{r}H/RT}\times e^{{\Delta }_{r}S/RT}$

From equation can also be written as,

${\Delta }_{r}G=-RT\ln K$

$\Delta G=\Delta G^o+RT\ln Q$ is a general formula involving reaction quotient.

Equilibrium constant $K$ is dimensionless in terms of relative activity

Hence, all options are true