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Introduction

For the follo...

Question

For the following three reactions a, b and c, equilibrium constants are given;

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

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

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

Which of the following relations is correct?

K_{2} K_{3} = K_{1}

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K_{3} = K_{1} K_{2}

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K_{3} . K_{2}^{3} = K_{1}^{2}

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K_{1} \sqrt{K_{2}} = K_{3}

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Solution

The correct option is D $K_{3} = K_{1} K_{2}$
To obtain equation c, the equations a and b are added.
Thus, the equilibrium constant of equation c is obtained by multiplying the equilibrium constants of equations a and b.
$K_{3} = K_{1} K_{2}$

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

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

K_{p}

K_{c}

K_{p} = K_{c} (R T)^{Δ n}

K_{p} = (a t m)^{Δ n}

K_{c} = (m o l L^{- 1})^{Δ n}

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

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

C H_{4} (g) + C O + 3 H_{2} O (g) ⇌ 2 C O_{2} (g) + 5 H_{2} (g); K_{3}

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