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Derivation of Kp and Kc

For the react...

Question

For the reaction, $C (s) + C O_{2} (g) ⇌ 2 C O (g)$ , the partial pressures of $C O_{2}$ and $C O$ are 2.0 and 4.0 atm respectively at equilibrium. The $K_{p}$ for the reaction is:

0.5

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Solution

The correct option is C 8
$C (s) + C O_{2} (g) ⇋ 2 C O (g)$

$P_{C O_{2}} = 2 a t m$
$P_{C O} = 4 a t m$

$K_{p} = \frac{{(P_{C O})}^{2}}{P_{C O_{2}}} = \frac{4 \times 4}{2} = 8$

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