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

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

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Consider an electrolyte `A_(2)B`, whose solubility is S mol `dm^(-3)`. In a saturated solution,
`A_(2)B_((s))hArr2A^(+)+B^(2-)`
`therefore[A^(+)]=2S" mol "dm^(-3)and(B^(2-))=S" mol "dm^(-3)`
`K_(sp)=[A^(+)]^(2)[B^(2-)]=(2S)^(2).S=4S^(3)`
`thereforeK_(sp)=4S^(3)`
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