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Q.
If $ K_{c} $ is the equilibrium constant for the formation of $ NH_{3} $ . The dissociation constant of ammonia under the same temperature will be
AMUAMU 2007
Solution:
$NH _{3} \rightleftharpoons \frac{1}{2} N _{2}+\frac{3}{2} H _{2} $
$ K_{c}=\frac{\left[ N _{2}\right]^{1 / 2}\left[ H _{2}\right]^{3 / 2}}{\left[ NH _{3}\right]}$ ...(i)
$\frac{1}{2} N _{2}+\frac{3}{2} H _{2} \rightleftharpoons NH _{3} $
$K_{c}'=\frac{\left[ NH _{3}\right]}{\left[ N _{2}\right]^{1 / 2}\left[ H _{2}\right]^{3 / 2}}$...(ii)
So, for dissociation $K'=\frac{1}{K_{c}}$