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Multiple Choice
Which of the following is the correct Kₛₚ expression for the dissolution of Sr₃(PO₄)₂ in water?
A
Kₛₚ = [Sr²⁺]²[PO₄³⁻]³
B
Kₛₚ = [Sr²⁺]²[PO₄³⁻]²
C
Kₛₚ = [Sr²⁺][PO₄³⁻]
D
Kₛₚ = [Sr²⁺]³[PO₄³⁻]²
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Verified step by step guidance
1
First, understand that the solubility product constant (Kₛₚ) is used to describe the equilibrium between a solid and its ions in a saturated solution. It is specific to sparingly soluble salts.
Next, write the balanced chemical equation for the dissolution of Sr₃(PO₄)₂ in water: Sr₃(PO₄)₂(s) ⇌ 3Sr²⁺(aq) + 2PO₄³⁻(aq). This shows the stoichiometry of the ions produced.
From the balanced equation, identify the stoichiometric coefficients of the ions: 3 for Sr²⁺ and 2 for PO₄³⁻. These coefficients will be used as exponents in the Kₛₚ expression.
Construct the Kₛₚ expression using the concentrations of the ions raised to the power of their stoichiometric coefficients: Kₛₚ = [Sr²⁺]³[PO₄³⁻]².
Verify that the Kₛₚ expression matches the stoichiometry of the dissolution reaction, ensuring that the exponents correspond to the number of ions produced in the balanced equation.