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Effective Equilibrium Constant

The equilibri...

Question

The equilibrium constant for the reaction, $2 S O_{2} (g) + O_{2} (g) ⇌ 2 S O_{3} (g)$ is 256 at 1000K. The equilibrium constant for the reaction $S O_{3} (g) ⇌ S O_{2} (g) + \frac{1}{2} O_{2} (g)$ is:

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Solution

The correct option is D
For the reaction: $S O_{3} (g) + S O_{2} (g) + \frac{1}{2} O_{2} (g) \dots \dots K 2 S O_{2} (g) + O_{2} (g) 2 S O_{3} (g), K = 256$
$K^{^{'}} = \sqrt{\frac{1}{256}} = \frac{1}{16}$

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