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

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.

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The correct Answer is:
7
`{:(AgCl(s)hArr,"Ag"^(+),+"Cl"^(-),K_(sp)(AgCl) = 1.6 xx 10^(-10)),(,Z,Z+Y,),(CuCl(s) hArr,Cu^(+),+Cl^(-),K_(sp)(CuCl) = 10^(-6)),(,Y,Z+Y,):}`
`Z(Z+Y) = 1.6 xx 10^(-10)`
`Y(Z+Y) = 10^(-6)`
`rArr (Z + Y)^(2) = 1.6 xx 10^(-10) + 10^(-6) rArr (Z + Y)^(2) ~~ 10^(-6)`
`rArr Z + Y = 10^(-3) rArr Z(Z + Y) = 1.6 xx 10^(-10)`
`rArr Z xx 10^(-3) = 1.6 xx 10^(-10) rArr Z = 1.6 xx 10^(-7)`
`rArr 1.6 xx 10^(-x) = 1.6 xx 10^(-7) rArr x = 7`.
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