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In a saturated solution of the sparingly...

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 `1.0 xx 10^(-8)`, what is the mass of `AgIO_(3)` contained in 100 ml of its saturated solution

A

`28.3xx10^(-2)g`

B

`1.83xx10^(-3)` g

C

`1.0xx10^(-7)` g

D

`1.0xx10^(-4)` g

Text Solution

Verified by Experts

The correct Answer is:
B
`AgIO_(3_((s)))hArrAg^(+)(aq)+IO_(3)^(-)(aq)`
Let the solubility of `AgIO_(3)` be s
`K_(sp)=[Ag^(+)][lO_(3)^(-)]`
`1.0xx10^(-8)=s^(2)`
`S=10^(-4)` mol/L
= `(10^(-4)xx283)/(1000)xx100=283xx10^(-5)`
= `2.83xx10^(-3)g//100` mL .
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