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Derivation of Kp and Kc

For the react...

Question

For the reaction $C O (g) + (1 / 2) O_{2} (g) ⇌ C O_{2} (g), K_{p} / K_{c}$ is

R T

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(R T)^{- 1}

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(R T)^{- 1 / 2}

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(R T)^{1 / 2}

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Solution

The correct option is C $(R T)^{- 1 / 2}$
$△ n = 1 - (1 + \frac{1}{2}) = 1 - \frac{3}{2} = - \frac{1}{2}$
$∴ \frac{K_{p}}{K_{c}} = (R T)^{△ n} = (R T)^{- 1 / 2}$

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