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Calculate the solubility of A(2)X(3) is ...

Calculate the solubility of `A_(2)X_(3)` is pure water, assuming that neither kind of ion racts with water. The solubility product of `A_(2)X_(3),K_(sp)=1.1xx10^(-23)`

Text Solution

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`A_(2)X_(3)hArr2A^(3+)+3X^(2-)`
`K_(sp)=[A^(3+)]^(2)[X^(2-)]^(3)=1.1xx10^(-23)`
If `S=` solubility of `A_(2)X_(3)` then
`[A^(3+)]=2S,[X^(2)]=3S`
therefore `K_(sp)=(2S)^(2)(3S)^(3)=108S^(5)=1.1x10^(-23)`
thus, `S^(5)=1xx10^(-25)`
`S=1.0xx10^(-5)` mol/L.
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