The standard reduction potential for `Cu^(2+)//Cu` is `+0.34V`. Calculate the reduction potential at pH=14 for the above couple. `K_(SP)` of `Cu(OH)_(2)` is `1.0xx10^(-19)`

Explanation

For `Cu(OH)_(2) K_(sp)=[Cu^(2+)] [OH^(-)]^(2)`
`[Cu^(2+)]=(K_(sp))/([OH^(-)]^(2)) =(1.0 xx 10^(-19))/(1)=1.0 xx 10^(-19)`
For `E_(RP)` of the couple `Cu^(2+)//Cu`
`E_(RP) =E_(RP)^(0) -(0.050)/(2) log (1)/([Cu^(2+)])`
`=0.34 +(0.0591)/(2) log (1 xx 10^(-19))=0.2205V`