Consider the cell
\( \mathrm{Pt(s)} \ | \ \mathrm{H_2(g)} \ (1 \ \mathrm{atm}) \ | \ \mathrm{H^+(aq}, [\mathrm{H^+}] = 1)\ \| \ \mathrm{Fe^{3+}(aq)}, \ \mathrm{Fe^{2+}(aq)} \ | \ \mathrm{Pt(s)} \)
Given \( E^\circ_{\mathrm{Fe^{3+}/Fe^{2+}}} = 0.771 \ \mathrm{V} \) and \( E^\circ_{\mathrm{H^+/ \tfrac{1}{2} H_2}} = 0.0 \ \mathrm{V} \), \( T = 298 \ \mathrm{K} \)
If the potential of the cell is \(0.712 \ \mathrm{V}\), the ratio of concentration of \( \mathrm{Fe^{2+}} \) to \( \mathrm{Fe^{3+}} \) is ______. (Nearest integer)
