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JIPMER 2014
Exam
JIPMER
Year
2014
Subject
Chemistry
Chapter
Chemical Equilibrium

JIPMER 2014 · Chemistry · Chemical Equilibrium

For the reaction, N_2(~g)+O_2(~g) leftharpoons 2 NO(g) , the...

For the reaction, N2( g)+O2( g)⇌2NO(g)\mathrm{N}_2(\mathrm{~g})+\mathrm{O}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NO}(\mathrm{g}), the equilibrium constant is K1K_1. The equilibrium constant is K2K_2 for the reaction, 2NO(g)+O2( g)⇌2NO2( g)2 \mathrm{NO}(\mathrm{g})+\mathrm{O}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NO}_2(\mathrm{~g}). What is KK for the reaction, NO2(g)⇌12 N2(g)+O2(g)\mathrm{NO}_2(g) \rightleftharpoons \frac{1}{2} \mathrm{~N}_2(g)+\mathrm{O}_2(g) ?

Options

  1. A1/(4K1K2)1 /\left(4 K_1 K_2\right)
  2. B[1/K1K2]1/2\left[1 / K_1 K_2\right]^{1 / 2}
  3. C1/(K1K2)1 /\left(K_1 K_2\right)
  4. D1/(2K1K2)1 /\left(2 K_1 K_2\right)

Correct answer

B. [1/K1K2]1/2\left[1 / K_1 K_2\right]^{1 / 2}

Step-by-step solution

N2(g)+O2(g)⇌2NO(g);K1…(i)2NO(g)+O2(g)⇌2NO2(g);K2…(ii)N2(g)+2O2(g)⇌2NO2(g);K=K1×K2\mathrm{N}_2(\mathrm{ g})+\mathrm{O}_2(\mathrm{ g}) \rightleftharpoons 2 \mathrm{NO}(\mathrm{g}) ; \mathrm{K}_1\ldots(i) 2 \mathrm{NO}(\mathrm{g})+\mathrm{O}_2(\mathrm{ g}) \rightleftharpoons 2 \mathrm{NO}_2(\mathrm{ g}) ; \mathrm{K}_2\ldots(ii) \mathrm{N}_2(g)+2 \mathrm{O}_2(g) \rightleftharpoons 2 \mathrm{NO}_2(g) ; K=K_1 \times K_2∴ For  NO2(g)⇌12N2(g)+O2(g);K=[1K1K2]1/2\begin{aligned} \therefore \quad \text{\text{ For } } \mathrm{NO}_2(g) & \rightleftharpoons \frac{1}{2} \mathrm{ N}_2(g)+\mathrm{O}_2(g) ; \\ K & =\left[\frac{1}{K_1 K_2}\right]^{1 / 2}\end{aligned}$$
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