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 =
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 =
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2609b9a-bccc-4ea0-ab3c-7cfd8cf7907c%2Fb482e08e-33c5-459e-9f35-e462ba439b9a%2Fn419dw_processed.jpeg&w=3840&q=75)
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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