The solubility of Ag2SO4 is measured and found to be 4.95 g/L. Use this information to calculate a Ksp value for silver sulfate. Ksp =

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The solubility of Ag₂SO₄ is measured and found to be 4.95 g/L. Use this information to calculate a Ksp value for silver sulfate.

Ksp = [ ]

---

To solve the problem, consider the dissociation equation of silver sulfate (Ag₂SO₄) in water:

Ag₂SO₄ ⇌ 2Ag⁺ + SO₄²⁻

1. **Calculate Molar Solubility:**
   - Molar mass of Ag₂SO₄ = (2×107.87) + 32.07 + (4×16.00) = 311.87 g/mol.
   - Molar solubility = 4.95 g/L ÷ 311.87 g/mol ≈ 0.0159 mol/L.

2. **Set Up Equilibrium Concentration:**
   - [Ag⁺] = 2 × 0.0159 mol/L = 0.0318 mol/L
   - [SO₄²⁻] = 0.0159 mol/L

3. **Calculate Ksp:**
   - Ksp = [Ag⁺]² × [SO₄²⁻] = (0.0318)² × 0.0159
   - Ksp ≈ 1.61 × 10⁻⁵

Hence, the Ksp value for silver sulfate is approximately 1.61 × 10⁻⁵.
Transcribed Image Text:The solubility of Ag₂SO₄ is measured and found to be 4.95 g/L. Use this information to calculate a Ksp value for silver sulfate. Ksp = [ ] --- To solve the problem, consider the dissociation equation of silver sulfate (Ag₂SO₄) in water: Ag₂SO₄ ⇌ 2Ag⁺ + SO₄²⁻ 1. **Calculate Molar Solubility:** - Molar mass of Ag₂SO₄ = (2×107.87) + 32.07 + (4×16.00) = 311.87 g/mol. - Molar solubility = 4.95 g/L ÷ 311.87 g/mol ≈ 0.0159 mol/L. 2. **Set Up Equilibrium Concentration:** - [Ag⁺] = 2 × 0.0159 mol/L = 0.0318 mol/L - [SO₄²⁻] = 0.0159 mol/L 3. **Calculate Ksp:** - Ksp = [Ag⁺]² × [SO₄²⁻] = (0.0318)² × 0.0159 - Ksp ≈ 1.61 × 10⁻⁵ Hence, the Ksp value for silver sulfate is approximately 1.61 × 10⁻⁵.
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