Which of the following statements regarding equilibrium constant of a reaction is correct?

Which of the following statements regarding equilibrium constant of a reaction is correct?

A
It increases linearly with increasing $T$
B
It increases linearly with increasing $1 / T .$
C
It increases exponentially with increase in temperature for an exothermic reaction
D
It increases exponentially with increase in temperature for an endothermic reaction

Solution:

The variation $K_{e q}^{\circ}$ is $\ln K_{eq}^{\circ} = - \frac{Δ_{r} H^{\circ}}{T} + constant$ or $K_{eq}^{\circ} = A e^{- Δ_{r} H^{\circ} / T}$

For endothermic reactions, $Δ_{r} H^{\circ}$ is positive and thus $K_{e q}^{\circ}$ increases exponentially with increase in temperature.

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