The equilibrium constant $\left(K_{c}\right)$ for the reaction
$$
2 \mathrm{HCl}(g) \rightleftarrows \mathrm{H}_{2}(g)+\mathrm{Cl}_{2}(g)
$$
is $4.17 \times 10^{-34}$ at $25^{\circ} \mathrm{C}$. What is the equilibrium constant for the reaction
$$
\mathrm{H}_{2}(g)+\mathrm{Cl}_{2}(g) \rightleftarrows 2 \mathrm{HCl}(g)
$$
at the same temperature?