Chemistry Question from JEE Main 2023 · 13 April, Shift 2

At $298 \, \text{K}$, the standard reduction potential for the $\mathrm{Cu}^{2+}/\mathrm{Cu}$ electrode is $0.34 \, \text{V}$.

Given: $K_{sp}\left(\mathrm{Cu(OH)_2}\right) = 1 \times 10^{-20}$; take $\frac{2.303RT}{F} = 0.059 \, \text{V}$.

The reduction potential at $\mathrm{pH} = 14$ for the above couple is $(-)\,x \times 10^{-2} \, \text{V}$. The value of $x$ is _____.