1.

In a saturated solution of the sparingly soluble strong electrolyte. AgIO_(3) (molecular mass = 283), the equilibrium which sets in is :AgIO_(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 100ml of its saturated solution ?

Answer»

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

Solution :`AgIO_(3)(s)hArr Ag^(+)(aq)+IO_(3)^(-)(aq)`
Let the solubility of `AgIO_(3)` in a saturated solution = s
`K_(sp)=[Ag^(+)][IO_(3)^(-)]=s xx s =s^(2)`
or `s=sqrt(K_(sp))=sqrt(1.0xx10^(-8))=10^(-4)mol L^(-1)`
Concentration `=10^(-4)xx 283 g L^(-1)`
or`=(10^(-4)xx283xx100)/(1000)`
`=2.83xx10^(-3)` g per 100 ml .


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