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Q. The equilibrium constant for the reversible reaction, $N_{2}+3H_{2} \rightleftharpoons 2NH_{3}$ is K and for the reaction $\frac{1}{2}N_{2}+\frac{3}{2}H_{2}\rightleftharpoons NH_{3}$ the equilibrium constant is $K'.K$ and $K'$ will be related as

Equilibrium

Solution:

$K' =K^n ;$ Hence $n=\frac{1}{2}$
$\therefore K' =K^{1/2}=\sqrt{K}$