1.

In a saturated solution of the sparingly soluble strong electrolyte AglO_(3) (s) hArr Ag^(+)(aq)+IO_(3)^(-)(aq). If the solubility product constant K_(sp) " of " AgIO_(3) at a given temperature is 1.0xx10^(-8), what is the mass of AgIO_(3) contained in 100 ml of its saturated solution ?

Answer»

`1.0xx10^(-4)G`
`28.3xx10^(-2)g`
`2.83xx10^(-3)g`
`1.0xx10^(-7)g`

Solution :Let s =SOLUBILITY
`AgIO_(3) hArr underset(s)(Ag^(**)) ** underset(s)(IO_(3))`
`K_(sp)=[Ag^(+)][IO_(3)^(-)]=sxxs=s^(2)`
Given `K_(sp)=1xx10^(-8)`
`therefore s= sqrt(K_(sp))=sqrt(1xx10^(-8))`
`=1.0xx10^(-4) "mol"//"LIT"=1.0xx10^(-4)xx283`g/lit
`(because` Molecular mass of `Ag IO_(3)=283)`
`=(1.0xx10^(-4)xx283xx100)/(1000)gm//100ml`
`=2.83xx10^(-3)gm//100ml`


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