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In a saturated solution of the sparingly soluble strong electrolyte AgIO3 (molecular mass = 283) the equilibrium which sets is

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In a saturated solution of the sparingly soluble strong electrolyte AgIO3 (molecular mass = 283) the equilibrium which sets is

AgIO3(s) ⇌ Ag+(aq) + IO3-(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?

(a) 1.0 × 10-4 g

(b) 28.3 × 10-2 g

(c) 2.83 × 10-3 g

(d) 1.0 × 10-7 g

1 Answer
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Correct answer: (c) 2.83 × 10-3 g

Explanation:

Let s = solubility

AgIO3 ⇌ Ag+(aq) + IO3-(aq)

Ksp = [Ag+][IO3-] = s x s = s2

Given Ksp = 1 x 10-8

∴ s = \(\sqrt{K_{sp}}\) = \(\sqrt{1 \times 10^{-8}}\)

= 1.0 x 10-4 mol/lit = 1.0 x 10-4 x 283 g/lit

(∵ Molecular mass of AgIO3 = 283)

= \(\frac{1 \times 10^{-4} \times 283 \times 100}{1000}\) g/100 mL

= 2.83 x 10-3 g/100mL

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