Given the solubility, calculate the solubility product constant (ksp) of each salt at 25°c: (a) ag2so3, s = 4.6 * 10-3 g/l; (b) hg2i2, s = 1.5 * 10-7 g/l; (c) zn3 (po4) 2, s = 5.9 * 10-5 g/l.

Part (a):

Reaction of the compound is given by:

Ag₂SO₃ ⇄ 2 Ag⁺ + SO₃²⁻

Solubility is given as:

s = 4.6 x 10⁻³ g/L

molar solubility = (4.6 x 10⁻³) / 295.79 = 1.55 x 10⁻⁵ mol / L

solubility product is written as:

Ksp = [Ag⁺]² [SO₃²⁻]

= [2 x 1.55 x 10⁻⁵]² * [1.55 x 10⁻⁵] = 1.489 x 10⁻¹⁴

Part (b):

Reaction of the compound is given by:

Hg₂I₂ ↔ Hg₂²⁺ + 2 I⁻

Solubility is given as:

S = 1.5 x 10⁻⁷ g / L

Molar solubility = 1.4 x 10⁻⁷ / 654.98 = 2.29 x 10⁻¹⁰ mol/L

solubility constant is written as:

Ksp = [Hg₂²⁺][I⁻]²

= (2.29 x 10⁻¹⁰) (2 x 2.29 x 10⁻¹⁰) ² = 4.8 x 10⁻²⁹

Part (c):

Reaction of the compound is given as:

Zn₃ (PO₄) ₂ ↔ 3 Zn²⁺ + 2 PO₄³⁻

solubility is given as:

s = 5.9 x 10⁻⁵ g / L

Molar solubility = 5.9 x 10⁻⁵ / 386.11 = 1.52 x 10⁻⁷ mol / L

Solubility constant is written as:

Ksp = [Zn²⁺]³ [PO₄³⁻]²

= (3 x 1.52 x 10⁻⁷) ³ * (2 x 1.52 x 10⁻⁷) ² = 8.76 x 10⁻³³