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(D) For the reaction $H_{2(g)} + I_{2(g)} \rightleftharpoons 2 HI_{(g)}$,the equilibrium constant is $K = \frac{[HI]^2}{[H_2][I_2]}$ ...$(i)$For the r

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$\frac{1}{\sqrt{K}}$

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(D) For the reaction $H_{2(g)} + I_{2(g)} \rightleftharpoons 2 HI_{(g)}$,the equilibrium constant is $K = \frac{[HI]^2}{[H_2][I_2]}$ ...$(i)$For the reaction $HI_{(g)} \rightleftharpoons \frac{1}{2} H_{2(g)} + \frac{1}{2} I_{2(g)}$,the equilibrium constant is $K' = \frac{[H_2]^{1/2} [I_2]^{1/2}}{[HI]}$Comparing this with equation $(i)$,we see that $K' = \sqrt{\frac{1}{K}} = \frac{1}{\sqrt{K}}$.

If the equilibrium constant for the reaction,$H_{2(g)} + I_{2(g)} \rightleftharpoons 2 HI_{(g)}$ is $K$,what is the equilibrium constant of $HI_{(g)} \rightleftharpoons \frac{1}{2} H_{2(g)} + \frac{1}{2} I_{2(g)}$?

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