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14. What is the theoretical standard EMF () of the half cell reaction , given and in acidic medium?Electrochemistry Chemistry Question

Question

14. What is the theoretical standard EMF ($E^\circ$) of the half cell reaction $ClO_3^- \rightarrow \frac{1}{2} Cl_2$, given $E^\circ(ClO_3^-/ClO^-) = 0.54 V$ and $E^\circ(ClO^-/\frac{1}{2}Cl_2) = 0.45 V$ in acidic medium?

Answer: C

💡 Solution & Explanation

$ClO_3^-$ (+5) to $ClO^-$ (+1) involves 4e-, $dG_1 = -4F(0.54)$. $ClO^-$ (+1) to $1/2 Cl_2$ (0) involves 1e-, $dG_2 = -1F(0.45)$. Total: 5e-, $dG_3 = -5F(E^\circ) = -2.16F - 0.45F = -2.61F$. $E^\circ = 2.61 / 5 = 0.522 V$.

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