Consider the electrode `Ag|AgCl(s),Cl^(c-)(0.1M),i.e.,` silver electrode in contact with` 0.1M KCl` solution saturated with `AgCl` . If it is combined with the electrode `Ag|Ag^(o+)(0.1M)` to form a complete cell, the `EMF` would be `(K_(sp)of AgCl=10^(10)` at `25^(@)C)`

Options

A. `0.799`
B. `-.6363`
C. `0.59`
D. `0.472`

Answer

d

Explanation

`Ag|AgCl(s),Cl^(c-)(0.1)M||Ag^(o+)(0.1M)|Ag`
`K_(sp)of AgCl=[Ag^(o+)][Cl^(c-)]`
`10^(10)=[Ag^(o+)]xx0.1`
`[Ag^(o+)]_(a)=10^(-9)`
For concentration cell, `E^(c-)=0`
`E=-(0.059)/(1) log .([Ag^(o+)]_(a))/([Ag^(o+)]_(c))`
`-=-0.059log .(10^(-9))/(10^(-1))`
`-=-0.059xx(-8)=0.472`