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

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

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The correct Answer is:
7
If is a case of simultaneous solubility of salts with a common ion. Here, solubility product of CuCl is much greater than of AgCl, it can be assumed that `Cl^(-)` in solution comes mainly from CuCl.
`[Cl^(-)] = sqrt(K_(sp)(CuCl)) = 10^(-3)M`
Now, for `AgCl, K_(sp) = 1.6 xx 10^(-10) = [Ag^(+)][Cl^(-)] = [Ag^(+)] xx 10^(-3)`
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