Equilibrium Question 664

Question: For the reaction : $ {H_{2(g)}}+C{O_{2(g)}} $ ⇌ $ C{O_{(g)}}+H_2{O_{(g)}} $ , if the initial concentration of $ [H_2]=[CO_2] $ and $ x $ moles/litre of hydrogen is consumed at equilibrium, the correct expression of $ K_{p} $ is [Orissa JEE 2005]

Options:

A) $ \frac{x^{2}}{{{(1-x)}^{2}}} $

B) $ \frac{{{(1+x)}^{2}}}{{{(1-x)}^{2}}} $

C) $ \frac{x^{2}}{{{(2+x)}^{2}}} $

D) $ \frac{x^{2}}{1-x^{2}} $

Show Answer

Answer:

Correct Answer: A

Solution:

$ {H_{2(g)}}+C{O_{2(g)}} $ ⇌ $ C{O_{(g)}}+H_2{O_{(l)}} $

Initial conc. 1 1 0 0
At equili (1- x) (1 - x) x x

$ K_{p}=\frac{p_{CO}.{p_{H_2O}}}{{p_{H_2}}.{p_{CO_2}}}=\frac{x.x}{(1-x)(1-x)}=\frac{x^{2}}{{{(1-x)}^{2}}} $



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