Equilibrium Question 650

Question: For the reaction equilibrium $ N_2O_4 $ ⇌ $ 2N{O_{2(g)}} $ , the concentrations of $ N_2O_4 $ and $ NO_2 $ at equilibrium are $ 4.8\times {10^{-2}} $ and $ 1.2\times {10^{-2}},mol,litr{e^{-1}} $ respectively. The value of $ K_{c} $ for the reaction is [AIEEE 2003]

Options:

A) $ 3.3\times 10^{2} $ $ mollitr{e^{-1}} $

B) $ 3\times {10^{-1}} $ $ mollitr{e^{-1}} $

C) $ 3\times {10^{-3}} $ $ mollitr{e^{-1}} $

D) $ 3\times 10^{3} $ $ mollitr{e^{-1}} $

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Answer:

Correct Answer: C

Solution:

$ K=\frac{{{[NO_2]}^{2}}}{[N_2O_4]} $

$ =\frac{{{[1.2\times {10^{-2}}]}^{2}}}{[4.8\times {10^{-2}}]} $

$ =0.3\times {10^{-2}} $

$ =3\times {10^{-3}} $



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