Chemistry - Electrochemistry Question with Solution | TestHub

​(i)$\text{F}{\text{e}}^{3+}\to \text{F}\text{e }$${\text{E}}_1^{\text{o}}$;

'n' factor = 3

$\text{Δ}{\text{G}}_1=-3\times \text{F}\times {\text{E}}_1^{\text{o}}$

(ii)$\text{F}{\text{e}}^{3+}+{\text{e}}^{-}\to \text{F}{\text{e}}^{2+}$${\text{E}}_2^{\text{o}}$;0.77

'n' factor = 1

$\text{Δ}{\text{G}}_2=-1\times \text{0.77}\times {\text{f}}_{}^{}$

(iii)$\text{F}{\text{e}}^{2+}+2{\text{e}}^{-}\to \text{F}\text{e}$${\text{E}}_3^{\text{o}}$;0.77

'n' factor = 2

$\text{Δ}{\text{G}}_3=\text{\hspace{0.17em}0.47}\times \text{2}\times {\text{f}}_{}^{}$

$\text{Δ}{\text{G}}_1=\text{Δ}{\text{G}}_2+\text{Δ}{\text{G}}_3$

$-3\text{f}{\text{E}}_{{}^1}^{\text{o}}=-1\times 0.77\times \text{f}+2\times 0.47\times \text{f}$

${\text{E}}_{{}^1}^{\text{o}}=\frac{-2\times 0.47+0.77}{3}=-0.057 \text{V}$