Chemistry Question from JEE Main 2023 · 25 January, Shift 1

Consider the cell: $\mathrm{Pt(s)|H_2(g)(1\ atm)|H^{+}(aq,1\ M)||Fe^{3+}(aq),Fe^{2+}(aq)|Pt(s)}$

Given: $E^\circ_{Fe^{3+}/Fe^{2+}} = 0.771 \, \text{V}, \, E^\circ_{H^+/H_2} = 0 \, \text{V}, \, T = 298 \, \text{K}$.

If the potential of the cell is $0.712 \, \text{V}$, the ratio of concentration of $Fe^{2+}$ to $Fe^{3+}$ is _____ (Nearest integer).