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
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...
icon
Related questions
Question

Hello please answer this question attached below:

### 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
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. \[ 3.68^\circ \text{C} = 6.50^\circ \text{C·kg/mol} \cdot m \] Solving
Expert Solution
steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Knowledge Booster
Solutions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY