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Q. The $E^{\circ}$ in the given diagram is :-Chemistry Question Image

Electrochemistry

Solution:

$\underset{+5}{ClO_3^-} \to \underset{+1}{ClO^-}$ $n_1 = 4$ $E_1^{\circ} = 0.50$ $ \Delta G^{\circ}_1$
$\underset{+1}{ClO^-} \to \frac{1}{2} \underset{0}{Cl_2}$ $n_2 = 1$ $E_2^{\circ} = 0.40$ $ \Delta G^{\circ}_2$
$\frac{1}{2}\underset{0}{Cl_2} \to \underset{-1}{Cl^-}$ $n_3 = 1$ $E_3^{\circ} = 1.36$ $ \Delta G^{\circ}_3$
$\underset{+5}{ClO_3^-} \to \underset{-1}{Cl^-}$ $n = 6$ $E^{\circ} =0$ $ \Delta G^{\circ}_4 = $ ?

$\Delta G ^{\circ}=\Delta G _{1}^{0}+\Delta G _{2}^{0}+\Delta G _{3}^{0}$
$nE ^{\circ}= n _{1} E _{1}^{0}+ n _{2} E _{2}^{0}+ n _{3} E _{3}^{0}$
$E ^{o}=\frac{4 \times 0.50+1 \times 0.40+1 \times 1.36}{6}$
$ \Rightarrow 0.63 \,volt$