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Derivation of Kp and Kc

In the reacti...

Question

In the reaction $C (s) + C O_{2} (g) ⇌ 2 C O (g),$ the equilibrium pressure is $12 a t m$ . If $50$ % of $C O_{2}$ reacts till equilibrium then $K_{p}$ will be :

12 a t m

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6 a t m

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20 a t m

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24 a t m

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Solution

The correct option is B $6 a t m$
$C (s) + C O_{2} (g) \Leftrightarrow 2 C O (g)$
$P - \frac{P}{3}$ $\frac{2 P}{3}$
$P_{t o t a l} = \frac{4 P}{3} = 12 (P = 9)$
So $K_{P} = \frac{(2 P / 3)^{2}}{P (P / 3)} = \frac{6^{2}}{6} = 6 a t m .$

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