The equilibrium constant of the following reactions are:
(I) $C H_{4} (g) + H_{2} O (g) ⇌ C O (g) + 3 H_{2} (g) K_{1}$
(II) $C O (g) + H_{2} O (g) ⇌ C O_{2} (g) + H_{2} (g) K_{2}$
(III) $C O_{2} (g) + 4 H_{2} (g) ⇌ C H_{4} (g) + 2 H_{2} O (g) K_{3}$
Which of the following is true?

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Solution

$K_{1} = \frac{[C O_{]} [H_{2}]^{3}}{[C H_{4}] [H_{2} O]}$

$K_{2} = \frac{[C O_{2}] [H_{2}]}{[C O] [H_{2} O]}$

$K_{3} = \frac{[C H_{4}] [H_{2} O]^{2}}{[C O_{2}] [H_{2}]^{4}}$

$K_{1} \times K_{2} = 1 / K_{3}$

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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}

(i) C O (g) + H_{2} O (g) ⇌ C O_{2} (g) + H_{2} (g); K_{1} (i i) C H_{4} (g) + H_{2} O (g) ⇌ C O (g) + 3 H_{2} (g); K_{2} (i i i) 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}

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