At \(298 \mathrm{~K}\), the standard reduction potential for \(\mathrm{Cu}^{2+} / \mathrm{Cu}\) electrode is \(0.34 \mat…

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

Given: \(\mathrm{K}_{\mathrm{sp}} \mathrm{Cu}(\mathrm{OH})_{2}=1 \times 10^{-20}\)

Take \(\frac{2.303 \mathrm{RT}}{\mathrm{F}}=0.059 \mathrm{~V}\)

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

[JEE Main 2023, 13 Apr (Shift 2)]