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Gibb's Energy and Nernst Equation

Calculate the...

Question

Calculate the value of $E^{o}$ (in V, upto two decimal points) from the given figure and report your answer as $100 \times E^{o}$ .

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Solution

$C l O_{3}^{-} + 2 H_{2} O + 4 e^{-} \to C l O^{-} + 4 O H^{-}; Δ G_{1}^{0}$

$C l O^{-} + H_{2} O + e^{-} \to \frac{1}{2} C l_{2} + 2 O H^{-}; Δ G_{2}^{0}$
$\frac{1}{2} C l_{2} + e^{-} \to C l^{-}; Δ G_{3}^{0}$
From 1, 2 and 3 reactions we get

$C l O_{3}^{-} + 3 H_{2} O + 6 e^{-} \to C l^{-} + 6 O H^{-}; Δ G^{0}$
$∴ Δ G^{0} = Δ G_{1}^{0} + Δ G_{2}^{0} + Δ G_{3}^{0}$
$- 6 F E^{0} = - 4 F \times 0.54 - F \times 0.45 - F \times 1.07$
$∴ E^{0} = + \frac{3.68}{6} = + 0.61 V$
$100 \times E^{o} = 61 V$ .

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