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Given that the standard reduction potent...

Given that the standard reduction potentials `E ^(0) of Fe^(+2)|Feis 0.26V and Fe ^(+3) |Fe is 0.76V` respectively. The `E ^(@)of Fe ^(+2)|Fe^(+3)` is:

A

`+1.76 V`

B

`-1.76 V`

C

`+0.182 V`

D

`-0.182 V`

Text Solution

Verified by Experts

The correct Answer is:
B

`Fe^(+2) + 2e^(-) rarr Fe " "Delta G_(1)^(@) = -2F xx 0.26` ....(i)
`Fe^(+3) + 3e^(-) rarr Fe " "Delta G_(2)^(@) = -3F xx 0.76` ...(ii)
`Fe^(+2) rarr Fe^(+3) + e^(-) " "Delta G_(3)^(@) = -1F xx E_(3)^(@)`
+ equation (i) - equation (2) = equation (3)
`Delta G_(1)^(@)-Delta G_(2)^(@) = Delta G_(3)^(@), " "-0.52F + 2.23 F = -F xx E_(3)^(@)`
`1.76 = -E_(3)^(@), " "E_(3)^(@) = -1.76 V`
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