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Question

Chemistry Question on Equilibrium

The equilibrium constant (K) of a reaction may be written as :

A

K=e−ΔG/RTK =e^{-\Delta G/ RT}

B

K=e−ΔG0/RTK =e^{-\Delta G^0/ RT}

C

K=e−ΔH/RTK=e^{-\Delta H / RT}

D

K=e−ΔH0/RTK= e^{-\Delta H ^0/ RT}

Answer

K=e−ΔG0/RTK =e^{-\Delta G^0/ RT}

Explanation

Solution

Gibbs free energy (ΔG∘)\left(\Delta G^{\circ}\right) is related with equilibrium constant (K)(K) as
ΔG∘=−RTln⁡K\Delta G^{\circ} =-R T \ln K
−ΔG∘RT=ln⁡K-\frac{\Delta G^{\circ}}{R T} =\ln K
∴K=e−ΔG∘RT\therefore K =e^{\frac{-\Delta G^{\circ}}{R T}}