Question

In 1 L saturated solution of AgCl `[K_(sp)(AgCl)=1.6xx10^(-10)], 0.1 " mol of " CuCl [ K_(sp)(CuCl)=1.0xx10^(-6)]` is added. The resultant concentration of `Ag^(+)` in the solution is `1.6xx10^(-x)`. The value of` "x"` is

Answer 1

Correct Answer - 7
As `K_(sp)` of CuCl is much greater than that of AgCl, `Cl^(-)` ions present in the mixture solution are mainly from CuCl and equal to `sqrt(10^(-6))`, i.e., `10^(-3) M`.
If `[Ag^(+)]= y "mol" L^(-1)` , then
`K_(sp) (AgCl) = [Ag^(+)][Cl^(-)]`
i.e., `1.6xx10^(-10) = y xx 10^(-3) or y = 1.6 xx 10^(-7)` . Hence , x = 7 .