28. In acidic medium, the standard potentials are V and V. Calculate the standard theoretical potent — Electrochemistry Chemistry Question
Question
28. In acidic medium, the standard potentials are $E^\circ(ClO_3^- / ClO^-) = 0.54$ V and $E^\circ(ClO^- / \frac{1}{2}Cl_2) = 0.45$ V. Calculate the standard theoretical potential $E^\circ$ for $ClO_3^- \rightarrow \frac{1}{2}Cl_2$.
Answer: C
💡 Solution & Explanation
$ClO_3^-$ (+5) to $ClO^-$ (+1) transfers 4 e- ($\Delta G^\circ_1 = -4F(0.54)$). $ClO^-$ (+1) to $Cl_2$ (0) transfers 1 e- ($\Delta G^\circ_2 = -1F(0.45)$). For the total 5 e- process: $\Delta G^\circ_3 = -2.16F - 0.45F = -2.61F$. Setting $-5FE^\circ_3 = -2.61F \implies E^\circ_3 = 2.61 / 5 = 0.522$ V.
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