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Characteristics of Equilibrium Constant

2 moles of ...

Question

2 moles of $P C l_{5}$ when heated in a closed vessels of 2 litre capacity at equilibrium 40 % of $P C l_{5}$ dissociated in $P C l_{3}$ and $C l_{2}$ . What is the value of the equilibrium constant?

0.267

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0.786

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0.345

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1.879

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Solution

The correct option is C 0.267
$P C l_{5} ⇌ P C l_{3} + C l_{2}$

Initial 2 0 0
FInal $2 - 2 x$ $2 x$ $2 x$
and $x = 0.4$

$K = \frac{[P C l_{3}] [C l_{2}]}{[P C l_{5}]}$

$K = \frac{\frac{2 x}{2} \times \frac{2 x}{2}}{\frac{2 - 2 x}{2}} = \frac{{0.4}^{2}}{0.6} = 0.267$

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