At 25 °C, only 0.0330 mol of the generic salt AB3 is soluble in 1.00 L of water. What is the Ksp of the salt at 25 °C? AB,(s) = A+(aq) + 3 B¯(aq) Ksp %3D

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**Solubility and Ksp Calculation**

At 25 °C, only 0.0330 mol of the generic salt AB₃ is soluble in 1.00 L of water.

**Question:**

What is the \( K_{sp} \) of the salt at 25 °C?

**Dissolution Reaction:**

\[ \text{AB}_3(s) \rightleftharpoons \text{A}^{3+}(aq) + 3 \text{B}^-(aq) \]

**Calculation:**

\[ K_{sp} = \]

**Explanation:**

The solubility product constant (\( K_{sp} \)) is an equilibrium constant that measures the solubility of a compound. It is determined by how much of the salt dissolves into its ions in water. 

1. **Stoichiometry**:
   - For every 1 mole of AB₃ that dissolves, 1 mole of A³⁺ is produced and 3 moles of B⁻ are produced.

2. **Ionic Concentrations**:
   - [A³⁺] = 0.0330 M
   - [B⁻] = 3 × 0.0330 M = 0.0990 M

3. **Expression for \( K_{sp} \)**:
   - \( K_{sp} = [A^{3+}][B^-]^3 \)

Substitute the concentrations into the expression to calculate \( K_{sp} \).
Transcribed Image Text:**Solubility and Ksp Calculation** At 25 °C, only 0.0330 mol of the generic salt AB₃ is soluble in 1.00 L of water. **Question:** What is the \( K_{sp} \) of the salt at 25 °C? **Dissolution Reaction:** \[ \text{AB}_3(s) \rightleftharpoons \text{A}^{3+}(aq) + 3 \text{B}^-(aq) \] **Calculation:** \[ K_{sp} = \] **Explanation:** The solubility product constant (\( K_{sp} \)) is an equilibrium constant that measures the solubility of a compound. It is determined by how much of the salt dissolves into its ions in water. 1. **Stoichiometry**: - For every 1 mole of AB₃ that dissolves, 1 mole of A³⁺ is produced and 3 moles of B⁻ are produced. 2. **Ionic Concentrations**: - [A³⁺] = 0.0330 M - [B⁻] = 3 × 0.0330 M = 0.0990 M 3. **Expression for \( K_{sp} \)**: - \( K_{sp} = [A^{3+}][B^-]^3 \) Substitute the concentrations into the expression to calculate \( K_{sp} \).
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