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Effective Equilibrium Constant

For the follo...

Question

For the following three reactions a, b, c, equilibrium constants are given:
1. $C O$ $(g) + H_{2} O (g) ⇌ C O_{2} (g) + H_{2} (g)$ ; $K_{1}$
2. $C H_{4} (g) + H_{2} O (g) ⇌ C O (g) + 3 H_{2} (g); K_{2}$
3. $C H_{4} (g) + 2 H_{2} O (g) ⇌ C O_{2} (g) + 4 H_{2} (g); K_{3}$
Which of the following relations is correct?

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

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K_{3} \cdot K_{2}^{3} = K_{1}^{2}

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

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

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Solution

The correct option is A $K_{3} = K_{1} K_{2}$
$C O (g) + H_{2} O (g) ⇌ C O_{2} (g) + H_{2} (g)$ ; $K_{1}$
$C H_{4} (g) + H_{2} O (g) ⇌ C O (g) + 3 H_{2} (g); K_{2}$
Adding both equations, we get

$C H_{4} (g) + 2 H_{2} O (g) ⇌ C O_{2} (g) + 4 H_{2} (g); K_{3} = K_{1} \times K_{2}$

So, $K_{3} = K_{1} K_{2}$

Hence, option A is correct

Suggest Corrections

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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