The molar solubility of PbBr2 is 2.17 x 10-3 M at a certain temperature. Calculate Ksp for PbBr2.

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The molar solubility of PbBr2 is 2.17 x 10-3 M at a certain temperature. Calculate
Ksp for PbBr2.
Transcribed Image Text:The molar solubility of PbBr2 is 2.17 x 10-3 M at a certain temperature. Calculate Ksp for PbBr2.
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### Calculating the Solubility Product Constant (Ksp) of PbBr₂

The molar solubility of PbBr₂ is given as 2.17 x 10⁻³ M at a certain temperature. Given this information, you are required to calculate the Ksp for PbBr₂. Below are multiple-choice options you can choose from:

1. 6.4 x 10⁻⁶
2. 3.4 x 10⁻⁶
3. 3.4 x 10⁻⁷
4. 6.4 x 10⁻⁷

To solve this, you can follow these steps:

1. **Write the Dissociation Equation**:
   \[ \text{PbBr}_2 (s) \leftrightarrow \text{Pb}^{2+} (aq) + 2\text{Br}^- (aq) \]
   
2. **Express the Solubility Product Constant (Ksp)**:
   \[ K_{sp} = [\text{Pb}^{2+}][\text{Br}^-]^2 \]

3. **Determine the Ionic Concentrations**:
   - Given: \[ \text{Solubility of PbBr}_2 = 2.17 \times 10^{-3} \text{ M} \]
   - Therefore:
     \[ [\text{Pb}^{2+}] = 2.17 \times 10^{-3} \text{ M} \]
     \[ [\text{Br}^-] = 2 \times 2.17 \times 10^{-3} \text{ M} = 4.34 \times 10^{-3} \text{ M} \]
   
4. **Plug the Values into the Ksp Expression**:
   \[ K_{sp} = [2.17 \times 10^{-3}][4.34 \times 10^{-3}]^2 \]
   \[ K_{sp} = (2.17 \times 10^{-3})(4.34 \times 10^{-3})^2 \]
   \[ K_{sp} = (2.17 \times 10^{-3})(1.88 \times 10^{-5}) \]
   \[ K_{sp} \approx 4.08 \times 10^{-8
Transcribed Image Text:### Calculating the Solubility Product Constant (Ksp) of PbBr₂ The molar solubility of PbBr₂ is given as 2.17 x 10⁻³ M at a certain temperature. Given this information, you are required to calculate the Ksp for PbBr₂. Below are multiple-choice options you can choose from: 1. 6.4 x 10⁻⁶ 2. 3.4 x 10⁻⁶ 3. 3.4 x 10⁻⁷ 4. 6.4 x 10⁻⁷ To solve this, you can follow these steps: 1. **Write the Dissociation Equation**: \[ \text{PbBr}_2 (s) \leftrightarrow \text{Pb}^{2+} (aq) + 2\text{Br}^- (aq) \] 2. **Express the Solubility Product Constant (Ksp)**: \[ K_{sp} = [\text{Pb}^{2+}][\text{Br}^-]^2 \] 3. **Determine the Ionic Concentrations**: - Given: \[ \text{Solubility of PbBr}_2 = 2.17 \times 10^{-3} \text{ M} \] - Therefore: \[ [\text{Pb}^{2+}] = 2.17 \times 10^{-3} \text{ M} \] \[ [\text{Br}^-] = 2 \times 2.17 \times 10^{-3} \text{ M} = 4.34 \times 10^{-3} \text{ M} \] 4. **Plug the Values into the Ksp Expression**: \[ K_{sp} = [2.17 \times 10^{-3}][4.34 \times 10^{-3}]^2 \] \[ K_{sp} = (2.17 \times 10^{-3})(4.34 \times 10^{-3})^2 \] \[ K_{sp} = (2.17 \times 10^{-3})(1.88 \times 10^{-5}) \] \[ K_{sp} \approx 4.08 \times 10^{-8
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