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Characteristics of Chemical Equilibrium

For the follo...

Question

For the following reactions 1 and 2, equilibrium constants are given:
(1) $C H_{4} (g) + H_{2} O (g) ⇌ C O (g) + 3 H_{2} (g); K_{1}$
(2) $C H_{4} (g) + 2 H_{2} O (g) ⇌ C O (g) + 4 H_{2} (g); K_{2}$
The correct relation between there equilibrium constant is:

K_{1} = \sqrt{K_{2}}

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K_{1} = K_{2}

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K_{1} = K_{2}^{2}

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none of these

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Solution

The correct option is C none of these
The equilibrium constant expressions are given below.

$K_{1} = \frac{[C O] [H_{2}]^{3}}{[C H_{4}] [H_{2} O]}$
$K_{2} = \frac{[C O] [H_{2}]^{4}}{[C H_{4}] [H_{2} O]^{2}}$
From the values of $K_{1}$ and $K_{2}$ , we can see that there is no accurate relation between $K_{1}$ and $K_{2}$ .

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Similar questions

C O (g)

+ H_{2} O (g) ⇋ C O_{2} (g) + H_{2} (g); K_{1}

C H_{4} (g) + H_{2} O (g) ⇋ C O (g) + 3 H_{2} (g); K_{2}

C H_{4} (g) + 2 H_{2} O (g) ⇋ C O_{2} (g) + 4 H_{2} (g); K_{3}

C O

(g) + H_{2} O (g) ⇌ C O_{2} (g) + H_{2} (g)

K_{1}

C H_{4} (g) + H_{2} O (g) ⇌ C O (g) + 3 H_{2} (g); K_{2}

C H_{4} (g) + 2 H_{2} O (g) ⇌ C O_{2} (g) + 4 H_{2} (g); K_{3}

C O (g) + H_{2} O (g) ⇋ C O_{2} (g) + H_{2} (g); K_{1}

C H_{4} (g) + H_{2} O (g) ⇋ C O (g) + 3 H_{2} (g); K_{2}

C H_{4} (g) + 2 H_{2} O (g) ⇋ C O_{2} (g) + 4 H_{2} (g); K_{3}

C O (g) + H_{2} O (g) ⇌ {C O}_{2} (g) + H_{2} (g); K_{1}

{C H}_{4} (g) + H_{2} O (g) ⇌ C O (g) + 3 H_{2} (g); K_{2}

{C H}_{4} (g) + 2 H_{2} O (g) ⇌ {C O}_{2} (g) + {4 H}_{2} (g); K_{3}

Equilibrium constants $K_{1}$ and $K_{2}$ for the following equilibria are

$N O (g) + 0.5 O_{2} (g) \to K_{1} N O_{2} (g)$ and
$2 N O_{2} (g) \to K_{2} 2 N O (g) + O_{2} (g)$

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