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Estimate the E^(c-) reduction for Cu|CuS...

Estimate the `E^(c-)` reduction for `Cu|CuS` electrode.
Given `: K_(sp) ` of `CuS=8.0 xx 10^(-36),E^(c-)._((Cu|Cu^(2+)))=-0.34V`

Text Solution

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`E^(c-)._(CuS|Cu)=x`
`E^(c-)._(Cu|Cu^(2+))=-0.34V`
`E^(c-)._(cell)=x-0.34V`

Cell is in equilibrium
`:. E_(cell)=0`
`:. E_(cell)=E^(c-)._(cell)-(0.059)/(2)log[Cu^(2+)][S^(2-)]`
`E^(c-)._(cell)=(0.059)/(2)log K_(sp)`
`=(0.059)/(2)log(8.5xx10^(-36))=01.04V`
Since `E^(c-)._(cell)=x-0.34`
`:. x=-.34=-1.04Vimplies x=-0.70V`
`:. E^(c-)._(CuS|Cu)=-0.70V`
or standard reduction potential for `Cu|CuS=-0.70V.`
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