The standard reduction potentials of Cu^...

The standard reduction potentials of `Cu^(2+)|Cu` and `Cu^(2+)|Cu^(o+)` are `0.337V` and `0.153V`, respectively. The standard electrode potential fo `Cu^(o+)|Cu` half cell is

`0.184 V`

`0.827V`

`0.521V`

`0.490V`

Text Solution

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The correct Answer is:

`{:(Cu^(3+)+2e^(-)rarr Cu,,E^(@)=0.337V,,DeltaG^(@)=-2Fxx0.337),(Cu^(@+)+e^(-)rarrCu^(+),,E^(@)=0.153V,,DeltaG^(@)=-1Fxx0.153),(Cu^(@+)+2e^(-)rarr Cu,,E_(1)^(@)=0.337V,,DeltaG_(1)^(@)=-2Fxx0.337),(Cu^(+)rarrC^(@+)+e^(-),,E_(2)^(@)=0.153V,,DeltaG_(1)^(@)=1xxFxx0.153),(bar(Cu^(+)+e^(-) rarr Cu),,E_(3)^(@)=?,,DeltaG_(3)^(@)=-1xxFxxE_(3)^(@)):}`
`DeltaG_(3)^(@)=DeltaG_(1)^(@)+DeltaG_(2)^(@)`
`-1xxE_(3)^(@)=-2Fxx0.337+Fxx0.153`
`E_(3)^(@)=2xx0.337-0.153=0.521V`.

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