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In 1 L saturated solution of AgCl[K(sp)(...

In 1 L saturated solution of `AgCl[K_(sp)(AgCl)=1.6xx10^(-19)], 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

Text Solution

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The correct Answer is:
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 .
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