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If E(Fe^(3+)//Fe)^(@) and E(Fe^(2+)//Fe)...

If `E_(Fe^(3+)//Fe)^(@)` and `E_(Fe^(2+)//Fe)^(@)` are `-0.36 V` and `0.439 V` respectively, then value of `E_(Fe^(3+)//Fe^(2+))^(@)` is

A

`(-0.036- 0. 439) V`

B

`[ 3 ( -0. 36) + 2 ( - 0. 439) ]V`

C

`(-0. 36 - 0. 439) V`

D

`[3 (0. 36) - 2 ( - 0. 439) ]V`

Text Solution

Verified by Experts

The correct Answer is:
D

Given that , `E _( Fe ^(2+) //Fe) ^(@) = - 0. 36V ,`
`E _(Fe ^(2+) // Fe ) ^(@) =- 0. 439 V`
`Fe ^(3+) + 3e ^(-) to Fe , Delta G _(1) =0 3 F ( E _(Fe ^( 3+ ) // Fe ))`
`Fe ^( 2+) + 2e ^(-) to Fe , Delta G _(2) =- 2 F ( E _(Fe ^(2+)//Fe)^(@))`
`Fe ^(3+) + e ^(-) to Fe ^(2+) , Delta G _(3) =- F ( E _(Fe ^(2+) //Fe) ^(@))`
`E _(Fe ^(3+) // Fe ^(2+)) ^(@) = 3 F _(Fe ^(3+) // Fe ) ^(@) - 2 E _(Fe ^(2+) //Fe) ^(@)`
`= [ 3 ( - 0. 36) - 2 ( -0.439) ]V`
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