Which substance is expected to have the lowest freezing point and which one the highest boiling point: 2.9m aqueous sucrose solution, 2.9m aqueous calcium sulfate solution, 2.9m aqueous ammonium sulfate solution? Explain.

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**Question:**

Which substance is expected to have the lowest freezing point and which one the highest boiling point: 2.9m aqueous sucrose solution, 2.9m aqueous calcium sulfate solution, 2.9m aqueous ammonium sulfate solution? Explain.

**Explanation:**

To determine the freezing and boiling points of these solutions, the concept of colligative properties can be applied. Colligative properties depend on the number of solute particles in a solution. The more particles present, the greater the effect on the freezing point depression and boiling point elevation.

1. **Sucrose (C₁₂H₂₂O₁₁):** Does not dissociate in water, so it remains as one particle. Thus, a 2.9m sucrose solution has 2.9 particles per kg of water.

2. **Calcium Sulfate (CaSO₄):** Dissociates into two ions: Ca²⁺ and SO₄²⁻. For a 2.9m solution, there are approximately 5.8 particles per kg of water.

3. **Ammonium Sulfate ((NH₄)₂SO₄):** Dissociates into three ions: 2 NH₄⁺ and 1 SO₄²⁻. A 2.9m solution yields about 8.7 particles per kg of water.

**Conclusion:**

- **Lowest Freezing Point:** Ammonium sulfate solution has the most particles, causing the greatest depression of freezing point.
- **Highest Boiling Point:** Ammonium sulfate solution will also have the highest boiling point elevation due to the highest particle count.
Transcribed Image Text:**Question:** Which substance is expected to have the lowest freezing point and which one the highest boiling point: 2.9m aqueous sucrose solution, 2.9m aqueous calcium sulfate solution, 2.9m aqueous ammonium sulfate solution? Explain. **Explanation:** To determine the freezing and boiling points of these solutions, the concept of colligative properties can be applied. Colligative properties depend on the number of solute particles in a solution. The more particles present, the greater the effect on the freezing point depression and boiling point elevation. 1. **Sucrose (C₁₂H₂₂O₁₁):** Does not dissociate in water, so it remains as one particle. Thus, a 2.9m sucrose solution has 2.9 particles per kg of water. 2. **Calcium Sulfate (CaSO₄):** Dissociates into two ions: Ca²⁺ and SO₄²⁻. For a 2.9m solution, there are approximately 5.8 particles per kg of water. 3. **Ammonium Sulfate ((NH₄)₂SO₄):** Dissociates into three ions: 2 NH₄⁺ and 1 SO₄²⁻. A 2.9m solution yields about 8.7 particles per kg of water. **Conclusion:** - **Lowest Freezing Point:** Ammonium sulfate solution has the most particles, causing the greatest depression of freezing point. - **Highest Boiling Point:** Ammonium sulfate solution will also have the highest boiling point elevation due to the highest particle count.
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