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Standard XII

Chemistry

Introduction

From the give...

Question

From the given data of the following reactions;

$C a O (s) + H_{2} (g) ⇌ C a (s) + H_{2} O (g)$ ; $K = 670$
$C a O (s) + C O (g) ⇌ C a (s) + C O_{2} (g)$ ; $K = 490$
The value of $K_{c}$ (nearest integer) for the given reaction is _____.

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

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Solution

$C a O (s) + H_{2} (g) ⇌ C a (s) + H_{2} O (g)$ ; $K = 670$ ......(1)
$C a O (s) + C O (g) ⇌ C a (s) + C O_{2} (g)$ ; $K = 490$ ......(2)

$C O_{2} (g) + H_{2} (g) ⇌ C O (g) + H_{2} O (g)$ ......(3)

When the second reaction is subtracted from the first reaction, the third reaction is obtained.

Hence, the equilibrium constant for the third reaction is the ratio of the equilibrium constant for the first reaction and the equilibrium constant for the second reaction.

$K_{3} = \frac{K_{1}}{K_{2}}$ .

Substitute values in the above expression:

$K_{3} = \frac{670}{490} = 1.37$

Hence, the value of the equilibrium constant for the third reaction is 1.37.

The nearest integer is $1$ .

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Similar questions

Q. From the given data of equilibrium constants of the following reactions,

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C a O (s) + C O (g) ⇌ C a (s) + C O_{2} (g); K = 400

Calculate the equilibrium constant of the reaction,

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

Q. From the given data of equilibrium constants of the following reactions,

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Calculate the equilibrium constant of the reaction,

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Q. Calculate

Δ H

k J

for the following reaction:

C (g) + O_{2} (g) \to C O_{2} (g)

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H_{2} O (g) + C (g) \to C O (g) + H_{2} (g)

;

Δ H = + 131 k J

C O (g) + \frac{1}{2} O_{2} (g) \to {C O}_{2} (g)

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Δ H = - 282 k J

H_{2} (g) + \frac{1}{2} O_{2} (g) \to H_{2} O (g)

;

Δ H = - 242 k J

Q. The equilibrium constants for the following reaction at 1000 K are given :

C o O (s) + H_{2 (g)} ⇌ C o (s) + H_{2} O_{(g)} K_{1} = 62.5

C o O (s) + C O_{(g)} ⇌ C o (s) + C O_{2 (g)} K_{2} = 500

Then the equilibrium constant [K] for the below given reaction is :

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

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From the given data of the following reactions; CaO(s)+H2(g)⇌Ca(s)+H2O(g); K=670 CaO(s)+CO(g)⇌Ca(s)+CO2(g); K=490The value of Kc (nearest integer) for the given reaction is _____. CO2(g)+H2(g)⇌CO(g)+H2O(g)

From the given data of the following reactions;

$C a O (s) + H_{2} (g) ⇌ C a (s) + H_{2} O (g)$ ; $K = 670$
$C a O (s) + C O (g) ⇌ C a (s) + C O_{2} (g)$ ; $K = 490$
The value of $K_{c}$ (nearest integer) for the given reaction is _____.

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