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Characteristics of Equilibrium Constant

The value of ...

Question

The value of $K_{c} = 4.24$ at $800 K$ for the reaction
$C O (g) + H_{2} O (g) ⇌ {C O}_{2} (g) + H_{2} (g)$
Calculate equilibrium concentrations of ${C O}_{2}, H_{2}, C O$ and $H_{2} O$ at $800 K$ , if only $C O$ and $H_{2} O$ are present initially at concentration of $0.10 M$ each.

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Solution

$C O (g) + H_{2} O (g) ⇌ {C O}_{2} (g) + H_{2} (g)$
$0.1$ $0.1$ $-$ $-$
$0.1 - x$ $0.1 - x$ $x$ $x$
$K_{C} = 4.24 = \frac{[x] [x]}{[0.1 - x] [0.1 - x]}$
$x = 0.067$
equilibrium concentrations of
$[{C O}_{2}] = x = 0.67 [H_{2}] = x = 0.067$
$[C O] = 0.1 - x = 0.033 [H_{2} O] = 0.1 - x = 0.033$

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