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Common Ion Effect

At 500 K, the...

Question

At 500 K, the equilibrium constant for $c i s - C_{2} H_{2} C l_{2} ⇋ t r a n s - C_{2} H_{2} C l_{2}$ is 0.6. At the same temperature, the equilibrium constant for the given reaction
$t r a n s - C_{2} H_{2} C l_{2} ⇋ c i s - C_{2} H_{2} C l_{2}$ will be:

0.66

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1.67

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0.76

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2.6

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Solution

The correct option is B 1.67
Given, the equlibrium constant for the reaction
$c i s - C_{2} H_{2} C l_{2} ⇋ t r a n s - C_{2} H_{2} C l_{2}$ is $K_{C} = 0.6$
So, the equlibrium constant for the reaction
$t r a n s - C_{2} H_{2} C l_{2} ⇋ c i s - C_{2} H_{2} C l_{2}$
$K_{C}^{'} = \frac{1}{K_{e}} = \frac{1}{0.6} = 1.67$

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