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What will be the standard electrode pote...

What will be the standard electrode potential for the change,
`Fe^(3+)(aq)+e rarr Fe^(2+)(aq).`
Given : `E_(Fe^(3+)|Fe)^(@)=-0.036V, E_(Fe^(2+)|Fe)^(@)=-0.439V`

Text Solution

Verified by Experts

Given, `Fe^(3+)+3erarrFe, E^(@)=-0.036V`
`therefore" "DeltaG_(1)^(@)=-mFE^(@)=-3xxFxx(-0.036)=+0.108F`
And, `Fe^(2+)+2erarrFe, E^(@)=-0.439V`
`therefore" "DeltaG_(2)^(@)=-mFE^(@)=-2xxFxx(-0.439)=+0.878F`
`"To find "E^(@)" for the reaction, "Fe^(3+)(aq)+erarrFe^(2+)(aq)`
`DeltaG^(@)=-mFE^(@)=-1xxFxxE^(@)" ...[1]`
But, `DeltaG^(@)=DeltaG_(1)^(@)-DeltaG_(2)^(@)or, DeltaG^(@)=(0.108-0.878)F=-.77F`
Substituting for `DeltaG^(@)` in equation (1).
`-0.77F=-FE^(@)" or, "E^(@)=0.77V`.
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