Equilibrium Question 611

Question: 2 moles of $ PCl_5 $ were heated in a closed vessel of 2 litre capacity. At equilibrium, 40% of $ PCl_5 $ is dissociated into $ PCl_3 $ and $ Cl_2 $ . The value of equilibrium constant is [MP PMT 1989; RPMT 2000; UPSEAT 2004; Kerala CET 2005]

Options:

A) 0.266

B) 0.53

C) 2.66

D) 5.3

Show Answer

Answer:

Correct Answer: A

Solution:

$ \underset{2}{\mathop{PCl_5}}, $ ⇌ $ \underset{0}{\mathop{PCl_3}},+\underset{0}{\mathop{Cl_2}}, $

$ \frac{2\times 60}{100} $

$ \frac{2\times 40}{100} $

$ \frac{2\times 40}{100} $ Volume of container = 2 litre. $ K_{c}=\frac{\frac{2\times 40}{100\times 2}\times \frac{2\times 40}{100\times 2}}{\frac{2\times 60}{100\times 2}}=0.266 $ .



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