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4 mole of ${PCl}_{5}$ is heated in 1L vessel to establish the equilibrium $[P C l_{5 (g)} ⇌ P C l_{3 (g)} + C l_{2 (g)}]$ At equilibrium 1 mole of ${Cl}_{2}$ is formed. Then $K_{c}$ value for the above equilibrium is

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$1 {molelit}^{- 1}$

$2 {mole lit}^{- 1}$

$\frac{2}{3} {mole lit}^{- 1}$

$\frac{1}{3} {mole lit}^{- 1}$

answer is D.

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Detailed Solution

$K_{C} = \frac{1 \times 1}{3} = \frac{1}{3}$

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