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Question

In the following redox reaction:
5Fe2++MnO4+8H+Mn2++5Fe3++4H2O
Given: Fe3++eFe2+,E1o
MnO4+8H++5eMn2++4H2O,E2o
Potential at the equivalence point is :

A
E=(E1o+E2o)0.08pH
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B
E=E1o+5E2o60.08pH
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C
E=(E1oE2o)0.08pH
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D
E=E1o5E2o6+0.08pH
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Solution

The correct option is C E=E1o+5E2o60.08pH
At the equivalent point, all species are in unit concentration and
ΔGo(net)=ΔGo1+ΔGo2
6FEo3=FEo15FEo2
Eo3=Eo1+5Eo26
Except H+, all other species =1M
So, according to Nernst equation,
E=Eo30.05916log(1H+)8
=Eo1+5Eo260.05916×8log(1H+)
=Eo1+5Eo260.08pH

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