MCQ
If ${K_c}$ is the equilibrium constant for the formation of $N{H_3}$, the dissociation constant of ammonia under the same temperature will be
  • A
    ${K_c}$
  • B
    $\sqrt {{K_c}} $
  • C
    $K_c^2$
  • $1/{K_c}$

Answer

Correct option: D.
$1/{K_c}$
(d) $N{H_3}$ $ \rightleftharpoons $ $\frac{1}{2}{N_2} + \frac{3}{2}{H_2}$

${{K}_{c}}=\frac{{{[{{N}_{2}}]}^{{1}/{2}\;}}{{[{{H}_{2}}]}^{{3}/{2}\;}}}{N{{H}_{3}}}$   and $\frac{1}{2} {{N}_{2}}+\frac{3}{2}{{H}_{2}}$  $ \rightleftharpoons $  $N{{H}_{3}}$

${{K}_{c}} =\frac{[N{{H}_{3}}]}{{{[{{N}_{2}}]}^{{1}/{2}\;}}{{[{{H}_{2}}]}^{{3}/{2}\;}}}$

So for dissociation $=\frac{1}{{{K}_{c}}}$

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