At \(1\,\mathrm{K}\), \(15\) moles of \(\mathrm{H_2}\) reacts with \(5.2\) moles of \(\mathrm{I_2}\) and forms \(10\) moles of \(\mathrm{HI}\). The equilibrium constant for the reaction
\[
2\mathrm{HI}(g)\rightleftharpoons \mathrm{H_2}(g)+\mathrm{I_2}(g)
\]
is