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The standard redox potentials for the re...

The standard redox potentials for the reactions,
`MN^(2+) + 2e^(-)to Mn and Mn^(3+) + e^(-) are `-1.18V and 1.51V respectively. What is the redox potential for the reaction `Mn^(3+)+ 3e^(-) to Mn`?

Text Solution

Verified by Experts

The correct Answer is:
`-0.28`

`{:(Mn^(2+) + 2e^(-) to Mn, DeltaG_(1)=-nF E_(1)=-2 xx F xx (-1.18)),(Mn^(3+) + e^(-) to Mn^(2+), DeltaG_(2)=-nFE_(2)=-1 xx F xx (1.51)):}`
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Adding `Mn^(3+) + 3e^(-) to Mn, DeltaG_(3) =-3FE_(3)`
`DeltaG_(3) = DeltaG_(1) + DeltaG_(2)`
`-3FE_(3) =-2 xx F xx (-1.18) -(1) xx F xx (1.51)`
`E_(3) = -0.28 V`
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