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Multiple Choice
Given the molar solubility of BaCrO₄ in pure water is 1.08×10⁻⁵ M, what is the solubility product constant (Ksp) for BaCrO₄?
A
1.08×10⁻¹⁰
B
1.08×10⁻⁵
C
1.17×10⁻¹⁰
D
2.16×10⁻⁵
Verified step by step guidance
1
Understand the concept of solubility product constant (Ksp). It is the equilibrium constant for the dissolution of a sparingly soluble ionic compound. For BaCrO₄, the dissolution can be represented as: BaCrO₄(s) ⇌ Ba²⁺(aq) + CrO₄²⁻(aq).
Write the expression for the solubility product constant (Ksp) based on the dissolution equation. The Ksp expression is: .
Recognize that the molar solubility of BaCrO₄ in water is given as 1.08×10⁻⁵ M. This means that at equilibrium, the concentration of Ba²⁺ ions and CrO₄²⁻ ions in the solution will both be 1.08×10⁻⁵ M.
Substitute the molar solubility values into the Ksp expression. Since both ions have the same concentration, the expression becomes: .
Calculate the product of the concentrations to find the Ksp value. This involves multiplying the molar solubility of Ba²⁺ and CrO₄²⁻ ions to get the solubility product constant.