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Characteristics of Equilibrium Constant

At a certain ...

Question

At a certain temperature 2 moles of carbonmonoxide and 3 moles of chlorinw were allowed to reach equilibrium according to the reaction $C O_{(g)} + C l_{2} ⇋ C O C l_{2}$ in a 5 lit vessel. At equilibrium if one mole of $C O$ is present then equilibrium constant for the reaction is ____

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Solution

$C O (g) + {C l}_{2} ⇌ C a {C l}_{2}$
at $t = 0$ 2moles 3mole -
at eqn 1mol 2mol 1mol
the mixture is contained at 5 litre vessel
$[C O] = \frac{1}{5} m o l L^{- 1}, [{C l}_{2}] = \frac{3}{5} m o l L^{- 1}$
$[{C o C l}_{2}] = \frac{1}{5} m o l L^{- 1}$
$K_{C} = \frac{[C o {C l}_{2}]}{[C O] [{C l}_{2}]} = \frac{\frac{3}{5}}{\frac{1}{5} \times \frac{3}{5}} = 1.66 {m o l}^{- 1} L$

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