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Characteristics of Chemical Equilibrium

For the gener...

Question

For the general reaction,
If $K_{f}$ and $K_{b}$ are the equilibrium constant for the forward and backward reactions, then, which of the following relationships hold good?

A

K_{f} = \frac{1}{K_{b}}

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B

K_{f} \times K_{b} = 1

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C

K_{f} - 1 = K_{b}

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D

K_{b} + 1 = K_{f}

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Solution

The correct options are
A $K_{f} = \frac{1}{K_{b}}$
B $K_{f} \times K_{b} = 1$
$K_{f} = \frac{[C] [D]}{[A] [B]}$
$K_{b} = \frac{[A] [B]}{[C] [D]}$
Thus $K_{f} = \frac{1}{K_{b}}$ and
$K_{f} \times K_{b} = 1.$

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