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Write the relationship between K(sp) and...

Write the relationship between `K_(sp)` and S of an `AB_(2)` type of salt.

Text Solution

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Consider an electrolyte `AB_(2)`, whose solubility is S mol `dm^(-3)`. In a saturated solution,
`AB_(2(s))hArrA^(2+)+2B^(-)`
`therefore[A^(2+)]=S" mol "dm^(-3)and(B^(-))=2S" mol "dm^(-3)`
`K_(sp)=[A^(2+)][B^(-)]^(2)=S:(2S)^(2)=4S^(3)`
`thereforeK_(sp)=4S^(3)`.
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