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If E(1 )^(0)is standard electrode potent...

If `E_(1 )^(0)`is standard electrode potential for `Fe//Fe^(+2) , E_(2)^(0)` is for `Fe^(+2)//Fe^Fe^(+3) and E_(3)^(0) ` is for `Fe// Fe^(+3) ` then the relation between `E_(1)^(0), E_(2)^(0) and E_(3)^(0) ` will be :

A

`E_(3)^(0)=E_(1)^(0)+E_(2)^(0)`

B

`E_(3)^(0)=(E_(1)^(0)+E_(2)^(0))//2`

C

`E_(3)^(0)=E_(2)^(0)+2E_(1)^(0)`

D

`E_(3)^(0)=(E_(2)^(0)+2E_(1)^(0))//3)`

Text Solution

Verified by Experts

The correct Answer is:
D
`FetoFe^(+2)+2e -/_\G_(1)^(0)=2xxE_(1)^(0)xxF`…….(i)
`Fe^(+2)toFe^(+3)+e -/_\G_(2)^(0)=1xxE_(2)^(0)xxF`……(ii)
`FetoFe^(3+)+3e -/_\G_(3)^(0)=3xxE_(3)^(0)xxF`…..(iii)
Substracting equation (i) from equation (ii), we get
`Fe^(+2)toFe^(+3)+e`
`/_\G_(3)^(0)+/_\G_(3)^(0)+/_\G_(1)^(0)`
`E_(2)^(0)F=3E_(3)^(0)F-2E_(1)^(0)F`
`E_(3)^(0)=(E_(2)^(0)+2E_(1)^(0))//3`
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