The concentration of sulfate ion would be required for Ca⁺ to begin to precipitate out as calcium sulfate is 7.10 * 10⁻⁴ M.
b) The concentration of the Ba²⁺ ion would be 9.929 * 10⁻² M
The precipitation of calcium sulfate occurs when the ionic product, Kip is greater than or equal to the solubility product, Ksp of calcium sulfate.
a) The equation of the dissociation of CaSO₄ is given below:
CaSO₄ ⇄ Ca²⁺ + SO₄²⁻
Ksp = [Ca²⁺] * [SO₄²⁻] = 7.10 * 10⁻⁵
Kip = [Ca²⁺] * [SO₄²⁻]
[SO₄²⁻] = Kip/[Ca²⁺]
[Ca²⁺] = 0.100 M
For precipitation to occur;
Kip = Ksp = 7.10 * 10⁻⁵
[SO₄²⁻] = 7.10 * 10⁻⁵/0.100
[SO₄²⁻] = 7.10 * 10⁻⁴ M
Therefore, the concentration of sulfate ion would be required for Ca⁺ to begin to precipitate out as calcium sulfate is 7.10 * 10⁻⁴ M.
b) The concentration of the Ba²⁺ ion would be;
0.100 M - 7.10 * 10⁻⁴ M = 9.929 * 10⁻² M
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