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

Answer

7

Explanation

Let the solubility of AgCI si x `"mollitre"^(-1)`
`{:(AgCIhArr,Ag^(+)+,CI^(-)),(,x,x):}`
and that of CuCI is `"mollitre"^(-1)`
`{:(CuCIhArr,Cu^(+)+,CI^(-)),(,y,y):}`
`:. K_(SP)of AgCI=[Ag^(+)][CI^(-1)]`
`1.6xx10^(-10)=x(x+y)` …(i)
Similarly `K_(SP)of CuCI = [Cu^(+)][CI^(-)]`
`1.6xx10^(-6)=y(x+y) .....(ii)`
On solving (i) and (ii)
`[Ag^(+)]=1.6xx10^(-7)`
`:. x=7`