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6.1. Equilibrium - 1 (chemical Equilibrium) — Chemistry STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceChemistry6.1. Equilibrium - 1 (chemical Equilibrium)1 Mark
MCQ
For the reaction ${N_2}\left( g \right) + {O_2}\left( g \right) \rightleftharpoons 2NO\left( g \right)\,;\,{K_C} = 2$ then degree of dissociation of $O_2$ is
  • A
    $\frac{1}{{1 - \sqrt 2 }}$
  • B
    $\frac{1}{{1 + \sqrt 2 }}$
  • ✓
    $\frac{{\sqrt 2 }}{{1 + \sqrt 2 }}$
  • D
    $\frac{{\sqrt 2 }}{{\sqrt 2  - 1}}$
✓

Answer

Correct option: C.
$\frac{{\sqrt 2 }}{{1 + \sqrt 2 }}$
c
           ${N_2}(g) + {O_2}(g) \rightleftharpoons 2NO(g),\,\,\,\,{K_C} = 2$

$t=0$   $1\,M$     $1\,M$                  $0$

       $1-\alpha $   $1-\alpha $                   $2\alpha $

$K_{C}=\frac{(2 \alpha)^{2}}{(1-\alpha)^{2}}$

$\sqrt{2}=\frac{2 \alpha}{1-\alpha}$

$\sqrt{2}=2 \alpha+\sqrt{2} \alpha$

$\sqrt{2}=\alpha(2+\sqrt{2})$

$\alpha=\frac{\sqrt{2}}{2+\sqrt{2}}=\frac{1}{\sqrt{2}+1}$

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