For the reaction H_2(g)+I_2(g) 2HI(g), the standard free energy i… - Vidyadip

MCQ

For the reaction $\text{H}_2\text{(g)}+\text{I}_2\text{(g)}\rightleftharpoons2\text{HI(g)},$ the standard free energy is $\Delta\text{G}^\ominus > 0.$ The equilibrium constant $(K)$ would be $ .........$

A
$K = 0.$
B
$K > 1.$
C
$K = 1.$
✓
$K < 1.$

✓

Answer

Correct option: D.

$K < 1.$

$\Delta\text{G}^\circ=-\text{R}\text{T }1\text{nK}$
If $\Delta\text{G}^\ominus > 0,$ then $-\Delta\text{G}^\ominus/\text{RT}$ is negative, and $\text{e}^{\Delta\text{G}^\ominus/\text{RT}} < 1.$ That is $K < 1,$ which implies a non $-$ spontaneous reaction or a reaction which proceeds in the forward direction to such a small degree that only a very minute quantity of product is formed.

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