A saturated solution of `Ag_(2)SO_(4) is 2.5 xx 10^(-2)M`. The value of its solubility product is

Explanation

Concentration of `Ag^(+)` in AgBr solution `=sqrt(Ksp(AgBr))`
`=sqrt(5 xx 10^(-13))`
`=7.07 xx 10^(-7)M`
Concentration of `Ag^(+)" in "Ag_(2)CrO_(4)` solution `=2 xx root3((K_(sp)(Ag_(2)CrO_(4))/(4)))`
`=2 (2.4) xx (10^(-12)/(4))^(1//3)`
`=2 (8.43 xx 10^(-5))=16.86 xx 10^(-5)M`
E cell `=E^(@)" cell "-(0.059)/(n) log ([Ag^(+)]_(Ag Br))/([Ag^(+)] Ag_(2)CrO_(4))`
`=-0.059 log (7.07 xx 10^(-7))/(16.85 x 10^(-5))`
`=-0.059 log 4.19 xx 10^(-3)`
`=-0.059 xx -2.38`
=0.1404 V