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Derivation of Kp and Kc

The equilibri...

Question

The equilibrium of formation of phosgene is represented as:
$C O (g) + {C l}_{2} (g) ⇌ C O {C l}_{2} (g)$
The reaction is carried out in a $500 m L$ flask. At equilibrium $0.3$ mole of phosgene, $0.1$ mole of $C O$ and $0.1$ mole of ${C l}_{2}$ are present. The equilibrium constant of the reaction is_________.

A

30

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B

15

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C

5

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D

3

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Solution

The correct option is B $15$
The equilibrium of formation of phosgene is represented as:
$C O (g) + {C l}_{2} (g) ⇌ C O {C l}_{2} (g)$
The reaction is carried out in a $500 m L$ flask. At equilibrium $0.3$ mole of phosgene, $0.1$ mole of $C O$ and $0.1$ mole of ${C l}_{2}$ are present.
$[C O C l_{2}] = \frac{0.3 m o l}{500 m L} \times 1000 m L / L = 0.6 M$
$[C O] = [C l_{2}] = \frac{0.1 m o l}{500 m L} \times 1000 m L / L = 0.2 M$
The equilibrium constant of the reaction is
$K_{c} = \frac{[C O C l_{2}]}{[C O] [C l_{2}]}$
$K_{c} = \frac{0.6}{0.2 \times 0.2}$
$K_{c} = 15$

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