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What is the standard reduction potential...

What is the standard reduction potential `(E^(@))` for `Fe^(3+) to Fe`?
Given that :
`Fe^(2+) + 2e^(-) to Fe, E_(Fe^(2+)//Fe)^(@)`=-0.47V
`Fe^(3+) + e^(-) to Fe^(2+), E_(Fe^(3+)//Fe^(2+))^(@) = +0.77V`

A

`(+0.057V)`

B

`(+0.30V)`

C

`(-0.30V)`

D

`(-0.057V)`

Text Solution

Verified by Experts

For the given reaction : `fe^(3+)+e^(-)to Fe^(2+), E_(Fe^(3+)//Fe^(2))^(@)`
`DeltaG^(@)=-nFE^(@)`
`Delta_(1)^(@)=-0.77 F`…….(i)
For the reaction
`Fe^(2+)2e^(-)to Fe, E_(Fe^(2+)//Fe)^(@)=-0.47V'Delta _(2)^(@)=-2(-0.47xx2F`….(ii)
overall reaction : `Fe^(3+)+3e^(-)toFe,`
`DeltaG_(3)^(@)=-3FE_(3)^(@)`.....(iii)
`DeltaG_(3)^(@)=DeltaG_(1)^(@)+Delta_(2)^(@)`
`-3FE_(3)^(@)=-0.77 F+0.47xx2F`
`E_(3)^(@)=(0.17)/3implies E_(3)^(@)=-0.057V`
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