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Question

The equilibrium constant for the reaction $$ N_2 + 3H_2 \rightleftharpoons 2NH_3 $$ is $$ K $$ , then the equilibrium constant for the equilibrium $$ NH_3 \rightleftharpoons \dfrac{1}{2}N_2 + \dfrac{3}{2}H_2 $$ is

A
$$ 1 / K $$
B
$$ 1 / K^2 $$
C
$$ \sqrt{K} $$
D
$$ \dfrac{1}{\sqrt{K}} $$
Solution
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Correct option is D. $$ \dfrac{1}{\sqrt{K}} $$
$$ \dfrac{1}{\sqrt{K}} $$

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