Assuming 100%% dissociation, calculate the freezing point (T) and boiling point (T,) of 2.23 m Na, SO, (aq). Colligative constants can be found in the chempendix. Ti =

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**Colligative Properties: Freezing Point Depression and Boiling Point Elevation**

**Problem Statement:**

Assuming 100% dissociation, calculate the freezing point \( (T_f) \) and boiling point \( (T_b) \) of a 2.23 m \( \text{Na}_2\text{SO}_4 \) (aq) solution.

Colligative constants can be found in the chempendix.

**Solution Structure:**

To calculate the freezing point and boiling point:

### Freezing Point \( (T_f) \):

\[ T_f = \]

### Boiling Point \( (T_b) \):

\[ T_b = \]

---

**Explanation:**

This problem involves calculating the freezing point depression and boiling point elevation of an aqueous sodium sulfate \( (\text{Na}_2\text{SO}_4) \) solution. The colligative properties in this context depend on the molality of the solute and assume that the solute fully dissociates in solution, meaning every \( \text{Na}_2\text{SO}_4 \) molecule dissociates into two \( \text{Na}^+ \) ions and one \( \text{SO}_4^{2-} \) ion, resulting in three particles per formula unit.

Colligative constants (for freezing point depression and boiling point elevation) will be required and can be looked up in a reference table like the chempendix.

Formulae required:
1. **Freezing Point Depression**: \( \Delta T_f = i \cdot K_f \cdot m \)
2. **Boiling Point Elevation**: \( \Delta T_b = i \cdot K_b \cdot m \)

Here,
- \( i \) = van 't Hoff factor (number of particles the solute dissociates into)
- \( K_f \) = freezing point depression constant of the solvent
- \( K_b \) = boiling point elevation constant of the solvent
- \( m \) = molality of the solution
Transcribed Image Text:**Colligative Properties: Freezing Point Depression and Boiling Point Elevation** **Problem Statement:** Assuming 100% dissociation, calculate the freezing point \( (T_f) \) and boiling point \( (T_b) \) of a 2.23 m \( \text{Na}_2\text{SO}_4 \) (aq) solution. Colligative constants can be found in the chempendix. **Solution Structure:** To calculate the freezing point and boiling point: ### Freezing Point \( (T_f) \): \[ T_f = \] ### Boiling Point \( (T_b) \): \[ T_b = \] --- **Explanation:** This problem involves calculating the freezing point depression and boiling point elevation of an aqueous sodium sulfate \( (\text{Na}_2\text{SO}_4) \) solution. The colligative properties in this context depend on the molality of the solute and assume that the solute fully dissociates in solution, meaning every \( \text{Na}_2\text{SO}_4 \) molecule dissociates into two \( \text{Na}^+ \) ions and one \( \text{SO}_4^{2-} \) ion, resulting in three particles per formula unit. Colligative constants (for freezing point depression and boiling point elevation) will be required and can be looked up in a reference table like the chempendix. Formulae required: 1. **Freezing Point Depression**: \( \Delta T_f = i \cdot K_f \cdot m \) 2. **Boiling Point Elevation**: \( \Delta T_b = i \cdot K_b \cdot m \) Here, - \( i \) = van 't Hoff factor (number of particles the solute dissociates into) - \( K_f \) = freezing point depression constant of the solvent - \( K_b \) = boiling point elevation constant of the solvent - \( m \) = molality of the solution
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