Equilibrium Question 628

Question: In a $ 500ml $ capacity vessel $ CO $ and $ Cl_2 $ are mixed to form $ COCl_2 $ . At equilibrium, it contains 0.2 moles of $ COCl_2 $ and 0.1 mole of each of $ CO $ and $ CO_2 $ . The equilibrium constant $ K_{c} $ for the reaction $ CO+Cl_2 $ ⇌ $ COCl_2 $ is [CBSE PMT 1998]

Options:

A) 5

B) 10

C) 15

D) 20

Show Answer

Answer:

Correct Answer: B

Solution:

$ CO+Cl_2 $ ⇌ $ COCl_2 $

$ [CO]=\frac{0.1}{0.5} $ , $ [Cl_2]=\frac{0.1}{0.5} $ , $ [COCl_2]=\frac{0.2}{0.5} $

$ =\frac{[COCl_2]}{[CO][Cl_2]}=0\frac{\frac{0.2}{0.5}}{\frac{0.1}{0.5}\times \frac{0.1}{0.5}}=\frac{2}{5}\times 25=10 $



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