What is the standard reduction potential (E^o) for Fe^ 3+ Fe ? ............... V Given that : F e^ 2 + + 2 e^ - Fe; E^o _ F e^ 2 + /Fe = - 0.47 ,V F e^ 3 + + e^ - F e^ 2 + ; E^o _ F e^ 3 + /F e^ 2 + = + 0.77 ,V

What is the standard reduction potential (E^o) for Fe^ 3+ Fe ? ..…

MCQ

What is the standard reduction potential $(E^o)$ for $Fe^{3+} \to Fe$ ? ............... $\mathrm{V}$

Given that :

$F{e^{2 + }} + 2{e^ - } \to Fe;$ ${E^o}_{F{e^{2 + }}/Fe} = - 0.47\,V$

$F{e^{3 + }} + {e^ - } \to F{e^{2 + }};$ ${E^o}_{F{e^{3 + }}/F{e^{2 + }}} = + 0.77\,V$

✓

Correct option: A.

$-0.057$

a
$\Delta {G^o}\, = \, - nF{E^o}$

$(i)\,F{e^{2 + }}\, + \,2{e^ - }\, \to \,Fe;$ ${E^o}\, = \, - 0.47\,\,V;$

$(ii)\,F{e^{3 + }}\, + \,{e^ - }\, \to \,F{e^{2 + }};$ ${E^o}\, = \, + 0.77\,\,V;$

$(iii)\,F{e^{3 + }}\, + \,3{e^ - }\, \to Fe$

$(i)\,\Delta {G^o}\, = \, - nF{E^o}\, = \, - \,2\,( - 0.47)F\, = \,0.94\,F$

$(ii)\,\Delta {G^o}\, = \, - nF{E^o}\, = \, - \,1\,( + 0.77)F\, = \, - 0.77\,F$

$(iii)$ on adding $:\,\Delta {G^o}\, = \, + \,0.17\,F$

$\Delta {G^o}\, = \, - nF{E^o}\,{E^o}$ for

$(F{e^{3 + }} \to Fe)\, = \,\frac{{\Delta {G^o}}}{{ - nF}}\,$ $ = \,\frac{{0.17F}}{{ - 3F}}\, = \, - \,0.057\,V$

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