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Characteristics of Equilibrium Constant

For the react...

Question

For the reactions, $A ⇌ B, B ⇌ C, C ⇌ D$ , equilibrium constants are $K_{1}, K_{2}, K_{3}$ respectively.

What is the value of the equilibrium constant for $A ⇌ D$ ?

A

K_{1}, K_{2}, K_{3}

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B

K_{1} \times K_{2} {\times K}_{3}

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C

K_{1} K_{2} / 3

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D

None of these

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Solution

The correct option is B $K_{1} \times K_{2} {\times K}_{3}$
For the reactions, $A ⇌ B, B ⇌ C, C ⇌ D$ , equilibrium constants are $K_{1}, K_{2}, K_{3}$ respectively.
The value of equilibrium constant for $A ⇌ D$ is $K_{1} \times K_{2} {\times K}_{3}$ .
If we add the reactions $A ⇌ B, B ⇌ C, C ⇌ D$ , we obtain the reaction $A ⇌ D$ .
In such a case, the equilibrium constant for the net reaction is obtained by multiplying the equilibrium constants for individual reactions.

So, the correct option is $B$

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Q. Three gaseous equilibria have values of equilibrium constants as

K_{1}, K_{2}, K_{3}

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