The cell potential for the following cell Pt | H_2( g )| H^+( aq ) ∥ Cu^2+(0.01 M ) ∣ Cu ( s ) is 0.576 V at 298 K. The pH of the solution is \ \ \…

The cell potential for the following cell $\displaystyle \mathrm{Pt}\left|\mathrm{H}_2(\mathrm{~g})\right| \mathrm{H}^{+}(\mathrm{aq}) \| \mathrm{Cu}^{2+}(0.01 \mathrm{M}) \mid \mathrm{Cu}(\mathrm{s})$ is $\displaystyle 0.576$ V at $\displaystyle 298$ K. The pH of the solution is \_\_\_\_. (Nearest integer) $\displaystyle \left(\right.$ Given : $\displaystyle \mathrm{E}_{\mathrm{Cu}^{2+} / \mathrm{Cu}}^{\mathrm{o}}=0.34 \mathrm{~V}$ and $\displaystyle \left.\frac{2.303 \mathrm{RT}}{\mathrm{F}}=0.06 \mathrm{~V}\right)$