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Reaction Quotient

At 100 K, the...

Question

At 100 K, then value of $K_{c}$ for the reaction $C (s) + H_{2} O (g) ⇌ C O (g) + H_{2} (g)$ is $3.0 \times 10^{2}$ . Calculate equilibrium concentrations of $H_{2} O, C O_{2}$ and $H_{2}$ in the reaction mixture obtained by heating 6.0 mole of steam and an excess of solid carbon in a 5.0 L container. What is the molar composition of the equilibrium mixture?

[C O] = [H_{2}] = 0.18 M; [H_{2} O] = 1.02 M

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[C O] = [H_{2}] = 1.02 M; [H_{2} O] = 0.18 M

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[C O] = [H_{2}] = 0.36 M; [H_{2} O] = 2.04 M

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None of these

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Solution

The correct option is A $[C O] = [H_{2}] = 0.18 M; [H_{2} O] = 1.02 M$
$C (s) + H_{2} O (g) 1.2 - x ⇌ C O (g) x + (H_{2} (g) x$
$\frac{x^{2}}{1.2 - x} = 3 \times 10^{- 2}$
$x = [C O] = [H_{2}] = 0.18 M; [H_{2} O] = 1.02 M$

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