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Characteristics of Equilibrium Constant

The equilibri...

Question

The equilibrium constant $K_{c}$ for the reaction, $C O C l_{2 (g)} ⇌ C O_{(g)} + C l_{2 (g)}$ is $0.08$ at a certain temperature. If the equilibrium concentration of $C O C l_{2}$ is $0.10 M$ , what are the equilibrium concentration of $C O$ and $C l_{2}$ ?

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Solution

$C O C l_{2 (g)} ⇌ C O_{(g)} + C l_{2 (g)} c - - ⟹ concentration c - x x x ⟹ at equilibrium$
$K_{c} = \frac{[C O] [C l_{2}]}{[C O C l_{2}]} = \frac{(x) (x)}{(c - x)}$
Given, $K_{c} = 0.08 c - x = 0.1$
$K_{c} = \frac{x^{2}}{c - x} ⟹ 0.08 = \frac{x^{2}}{0.1}$
$x = 0.0894 ≃ 0.09 M$
The equilibrium concentration of $C O$ and $C l_{2}$ are $x = 0.09 m$ .

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