Consider the standard reduction potentials (in volts) as shown in Fig. Find $E^{0}$ .

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Solution

${S O}_{4}^{2 -} + {2 e}^{-} \to {S O}_{3}^{2 -} + O^{2 -} E_{1} = - 0.936$
${S O}_{3}^{2 -} + {2 e}^{-} \to 1 / 2 S_{2} O_{3}^{2 -} + 3 / 2 O^{2 -} E_{2} = - 0.576$
${S O}_{4}^{2 -} + {4 E}^{-} \to 1 / 2 S_{2} O_{3}^{2 -} + 5 / 2 O^{2 -} E^{0} = ?$
$- 4 \times E^{0} = - 2 \times - 0.936 + (- 2 \times - 0.576)$
$∴ E^{0} = - 0.756 V o l t$

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