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If E^(c-).(Fe^(3+)|Fe) and E^(c-).(Fe^(2...

If `E^(c-)._(Fe^(3+)|Fe)` and `E^(c-)._(Fe^(2+)|Fe)` are `=-0.36 V` and `-0.439V`, respectively, then the value of `E^(c-)._(Fe^(3+)|Fe^(2+))`

A

`3x_(2)-2x_(1)`

B

`x_(2)-x_(1)`

C

`x_(2)+x_(1)`

D

`2x_(2)+3x_(2)`

Text Solution

Verified by Experts

The correct Answer is:
a
`E^(c-)._(Fe^(3+)|Fe)=?=x`
`i. Fe^(2+)+2e^(-)rarr Fe` `E^(c-)._(1(Fe^(2+)|Fe))=x_(1)`
`DeltaG^(c-)._(1)=-nFE^(c-)._(1)=-2xxFxxx_(1)`
`ii. Fe^(3+)+3e^(-)rarr Fe` `E^(c-)._(2(Fe^(3+)|Fe))=x_(2)`
`DeltaG^(c-)._(2)=-nFE^(c-)._(2)=-3Fx_(2)`
`iii. Fe^(3+)+e^(-) rarr Fe^(2+)` `DeltaG^(c-)._(3)=-nFE^(c-)._(3)=-Fx`
`DeltaG^(c-)._(3)=DeltaG^(c-)._(2)-DeltaG^(c-)._(1)`
`-Fx=-3Fx_(2)-(-2Fx_(1))`
`:. x=3x_(2)-2x_(1)`
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