Ionic EquilibriumHard

Question

In a sautrated solution of the sparingly soluble strong electrolyte AgIO3(Molecular mass = 283) the equilibrium which sets in is
AglO3(6) ⇋ Ag+(aq) + IO-3(aq)
If the solubility product constant Ksp of AgIO3 at a given temperature is 1.0 × 10-8, what is the mass of AgIO3 contained in 100 ml of its saturated solution?

Options

A.28.3 × 10-2 g
B.2.83 × 10-3 g
C.1.0 × 10-7 g
D.1.0 × 10-4 g

Solution

AgIO3(s) ⇋ Ag+(aq) + IO-3(aq)
Let the solubility of AgIO3 be s
Ksp = [Ag+][IO-3]
1.0 × 10-8 = s2
s = 10-4 mol/litre
× 100
= 283 × 10-5
= 2.83 × 10-3 g/ 100 ml
Hence, (2) is correct.

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