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Q. $At \,\,298 K$ equilibrium constant $K_{1}$ and $K_{2}$ of following reaction $SO_{2} (g) + 1/2 O_{2}(g) \rightleftharpoons SO_{3}(g)$ ______ $(1)$
$2SO_{3}(g) \rightleftharpoons 2SO_{2}(g) + O_{2}(g)$ ______ $(2)$ The relation between and $K_{2}$ is

Equilibrium

Solution:

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