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Characteristics of Equilibrium Constant

The equilibri...

Question

The equilibrium constant for the reaction $H_{2 (g)} + C l_{2 (g)} \Leftrightarrow 2 H C l_{(g)}$ is $K p$ , at the given temperature. Find out the equilibrium constant for the reaction $H C l_{(g)} \Leftrightarrow \frac{1}{2} H_{2 (g)} + \frac{1}{2} C l_{2}$ .

\frac{1}{K_{p}^{2}}

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K_{p}^{2}

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\frac{1}{\sqrt{K_{p}}}

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\sqrt{K_{p}}

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K_{p}^{3}

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Solution

The correct option is B $\frac{1}{\sqrt{K_{p}}}$
The equilibrium constant for the second reaction is $\frac{1}{\sqrt{K_{p}}}$ .
When a reaction is reversed, its equilibrium constant becomes reciprocal of original reaction.
When a reaction is divided by 2, its equilibrium constant becomes square root of original reaction.

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