Chemical Equilibrium

At \(298 \mathrm{~K}\), the equilibrium constant is \(2 \times 10^{15}\) for the reaction :

\(\mathrm{Cu}(\mathrm{s})+2 \mathrm{Ag}^{+}(\mathrm{aq}) \rightleftharpoons \mathrm{Cu}^{2+}(\mathrm{aq})+2 \mathrm{Ag}(\mathrm{s})\)

The equilibrium constant for the reaction

\(\frac{1}{2} \mathrm{Cu}^{2+}(\mathrm{aq})+\mathrm{Ag}(\mathrm{s}) \rightleftharpoons \frac{1}{2} \mathrm{Cu}(\mathrm{s})+\mathrm{Ag}^{+}(\mathrm{aq})\)

is \(x \times 10^{-8}\). The value of \(x\) is _____________. (Nearest Integer)