2. The following data was collected as a solution was prepared. Mass unknown solute (g) Mass solvent (g) Tf(solvent) (°C) Tf(solution) (°C) kf(°C-kg/mol) 0.117 6.30 2.62 6.50 5.28 a. Calculate the AT, for the solution using equation (1) above. b. The solute is a nonelectrolyte. Using equation (2) above, find the molality of the solution. c. Calculate the moles of the unknown solute. d. Calculate the molar mass of the unknown solute.
2. The following data was collected as a solution was prepared. Mass unknown solute (g) Mass solvent (g) Tf(solvent) (°C) Tf(solution) (°C) kf(°C-kg/mol) 0.117 6.30 2.62 6.50 5.28 a. Calculate the AT, for the solution using equation (1) above. b. The solute is a nonelectrolyte. Using equation (2) above, find the molality of the solution. c. Calculate the moles of the unknown solute. d. Calculate the molar mass of the unknown solute.
Chemistry
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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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![### Freezing Point Depression Data
The following data was collected during the preparation of a solution:
| Mass unknown solute (g) | Mass solvent (g) | \( T_f \) (solvent) (°C) | \( T_f \) (solution) (°C) | \( k_f \) (°C·kg/mol) |
|-------------------------|------------------|------------------------|------------------------|--------------------------|
| 0.117 | 5.28 | 6.30 | 2.62 | 6.50 |
#### Tasks:
a. **Calculate the \(\Delta T_f\) for the solution using the equation given above.**
b. **The solute is a nonelectrolyte. Using the equation (2) above, find the molality of the solution.**
c. **Calculate the moles of the unknown solute.**
d. **Calculate the molar mass of the unknown solute.**
#### Explanation:
- **\(\Delta T_f\)** represents the change in freezing point of the solution.
- **Molality** is a measure of the number of moles of solute per kilogram of solvent.
- **Nonelectrolyte** implies that the solute does not dissociate into ions in the solution.
- **Moles of solute** can be calculated via the molality and mass data.
- **Molar mass** is the mass of one mole of a substance.
### Example Calculations:
1. **Calculate \(\Delta T_f\)**:
\(\Delta T_f = T_f(\text{solvent}) - T_f(\text{solution}) = 6.30^\circ \text{C} - 2.62^\circ \text{C} = 3.68^\circ \text{C}\)
2. **Find the molality of the solution**:
Using the formula:
\[
\Delta T_f = k_f \cdot m
\]
where \( \Delta T_f \) is the freezing point depression, \( k_f \) is the freezing point depression constant, and \( m \) is the molality.
\[
3.68^\circ \text{C} = 6.50^\circ \text{C·kg/mol} \cdot m
\]
Solving](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5c5b462-e5a2-4c1c-9c45-1707b5796920%2F96633467-677d-4bc0-9555-0d15b53943d8%2F5po0uv1_processed.png&w=3840&q=75)
Transcribed Image Text:### Freezing Point Depression Data
The following data was collected during the preparation of a solution:
| Mass unknown solute (g) | Mass solvent (g) | \( T_f \) (solvent) (°C) | \( T_f \) (solution) (°C) | \( k_f \) (°C·kg/mol) |
|-------------------------|------------------|------------------------|------------------------|--------------------------|
| 0.117 | 5.28 | 6.30 | 2.62 | 6.50 |
#### Tasks:
a. **Calculate the \(\Delta T_f\) for the solution using the equation given above.**
b. **The solute is a nonelectrolyte. Using the equation (2) above, find the molality of the solution.**
c. **Calculate the moles of the unknown solute.**
d. **Calculate the molar mass of the unknown solute.**
#### Explanation:
- **\(\Delta T_f\)** represents the change in freezing point of the solution.
- **Molality** is a measure of the number of moles of solute per kilogram of solvent.
- **Nonelectrolyte** implies that the solute does not dissociate into ions in the solution.
- **Moles of solute** can be calculated via the molality and mass data.
- **Molar mass** is the mass of one mole of a substance.
### Example Calculations:
1. **Calculate \(\Delta T_f\)**:
\(\Delta T_f = T_f(\text{solvent}) - T_f(\text{solution}) = 6.30^\circ \text{C} - 2.62^\circ \text{C} = 3.68^\circ \text{C}\)
2. **Find the molality of the solution**:
Using the formula:
\[
\Delta T_f = k_f \cdot m
\]
where \( \Delta T_f \) is the freezing point depression, \( k_f \) is the freezing point depression constant, and \( m \) is the molality.
\[
3.68^\circ \text{C} = 6.50^\circ \text{C·kg/mol} \cdot m
\]
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