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Prove that for two half reactions having...

Prove that for two half reactions having potentials `E_(1)` and `E_(2)` which are combined to yield a third half reaction, having a potential `E_(3)`,
`E_(3)=(n_(1)E_(1)+n_(2)E_(2))/n_(3)`

Text Solution

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`DeltaG_(3)=DeltaG_(1)+DeltaG_(2)`
`-n_(3)FE_(3)=-n_(1)FE_(1)-n_(2)FE_(2)`
or `n_(3)E_(3)=n_(1)E_(1)+n_(2)E_(2)`
or `E_(3)=(n_(1)E_(1)+n_(2)E_(2))/n_(3)`
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