1.

Calculate the standard reduction potential of the following half cell S^(2-)|CuS|Cu Given: K_(sp)(CuS)=10^(-35)andE_(Cu^(2+)//Cu)^(@)=0.34V

Answer»

Solution :A cell can be assumed as follows:
Anode: `Cu(s)toCu^(2+)+2e^(-),E^(@)=E_(1)`
Cathode: `underline(CuS+2e^(-)toCu(s)+S^(2-),E^(@)=E_(2))`
NET reaction: `CuStoCu^(2+)+S^(2-)`
Applying Nernst equation to each of the above TWO electrode reaction
`E_(1)=E_(Cu^(2+)//Cu)^(@)+(0.0591)/(2)LOG[Cu^(2+)]`
`E_(2)=E_(S^(-)//CuS//Cu)^(@)-(0.0591)/(2)log[S^(2-)]`
`E_(cell)=E_(2)-E_(1)`
Wehn the cell reaction is in equilibrium, `E_(cell)=0`
`thereforeE_(2)=E_(2)`
i.e., `E_(S^(2-)//CuS//Cu)^(@)-(0.0591)/(2)log[S^(2-)]=E_(Cu^(2+)//Cu)^(@)+(0.0591)/(2)log[Cu^(2+)]`
or `E_(S^(2-)//CuS//Cu)^(@)=E_(Cu^(2+)//Cu)^(@)+(0.0591)/(2)log[Cu^(2+)][S^(2-)]`
`=E_(Cu^(2+)//Cu)^(@)+0.02955logK_(SP)(CuS)`
`=0.34+0.02955log10^(-35)`
`=0.34+0.02955(-35)=-0.694V`


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