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{:(Given Fe^(+2)+2e^(-)toFe(s),,,,E^(@)=...

`{:(Given Fe^(+2)+2e^(-)toFe(s),,,,E^(@)=-0.447V),(Fe^(+2)toFe^(+3)+e^(-),,,,E^(@)=-0.771V):}`
Find `E^(@)` for the reaction `Fe^(+3)+3e^(-)toFe(s)`

A

0.34V

B

`-0.041V`

C

`+0.39V`

D

`-0.47V`

Text Solution

Verified by Experts

The correct Answer is:
B
`Fe^(+2)+2e^(-)toFe(s)DeltaG_(1)^(0)=-2FE_(1)^(0)`
`Fe^(+2)toFe^(+3)+e^(-)DeltaG_(2)^(0)=-1E_(2)^(@)`
`Fe^(+3)+3e^(-)toFe(s)DG_(3)^(0)=-3FE_(3)^(@)`
`DeltaG_(3)^(@)=DeltaG_(1)^(@)-DeltaG_(2)^(@)`
`-3E_(3)^(@)=2xx0.447-1xx0.771`
`E_(3)^(@)=-0.041 V`
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