A certain liquid X has a normal boiling point of 117.50 °C and a boiling point elevation constant K= 1.51 °C kg'mol Calculate the boiling point of a solution made of 52.3g of urea (CH N,O) dissolved in 650. g of X. Round your answer to 5 significant digits.
A certain liquid X has a normal boiling point of 117.50 °C and a boiling point elevation constant K= 1.51 °C kg'mol Calculate the boiling point of a solution made of 52.3g of urea (CH N,O) dissolved in 650. g of X. Round your answer to 5 significant digits.
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...
Related questions
Question
![### Boiling Point Elevation Calculation
**Problem:**
A certain liquid X has a normal boiling point of 117.50 °C and a boiling point elevation constant \( K_b = 1.51 \, °C \cdot kg \cdot mol^{-1} \). Calculate the boiling point of a solution made of 52.3 g of urea (CH\(_4\)N\(_2\)O) dissolved in 650. g of X.
**Solution:**
Given:
- Normal boiling point of liquid X, \( T_b = 117.50 \, °C \)
- Boiling point elevation constant, \( K_b = 1.51 \, °C \cdot kg \cdot mol^{-1} \)
- Mass of urea, \( m_{\text{urea}} = 52.3 \, \text{g} \)
- Mass of solvent (liquid X), \( m_{\text{solvent}} = 650. \, \text{g} \)
The boiling point elevation (\( \Delta T_b \)) is calculated using the formula:
\[ \Delta T_b = K_b \cdot m \]
where \( m \) is the molality of the solution. Molality (m) is calculated as:
\[ m = \frac{\text{moles of solute}}{\text{kilograms of solvent}} \]
**Step 1: Calculate the moles of urea.**
- Molar mass of urea (CH\(_4\)N\(_2\)O):
\[
M_{\text{urea}} = 12.01 (\text{C}) + 4 \times 1.01 (\text{H}) + 2 \times 14.01 (\text{N}) + 16.00 (\text{O}) = 60.06 \, \text{g/mol}
\]
- Moles of urea:
\[
\text{moles of urea} = \frac{52.3 \, \text{g}}{60.06 \, \text{g/mol}} = 0.8704 \, \text{mol}
\]
**Step 2: Calculate the molality (m).**
- Mass of solvent (in kg):
\[
\text{mass of solvent](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe361a5c2-e3a6-4cd8-bee8-5dcb720cb10b%2F5e6ce5a7-b170-45d4-bf4e-6bf15e2abba6%2Frdosqm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Boiling Point Elevation Calculation
**Problem:**
A certain liquid X has a normal boiling point of 117.50 °C and a boiling point elevation constant \( K_b = 1.51 \, °C \cdot kg \cdot mol^{-1} \). Calculate the boiling point of a solution made of 52.3 g of urea (CH\(_4\)N\(_2\)O) dissolved in 650. g of X.
**Solution:**
Given:
- Normal boiling point of liquid X, \( T_b = 117.50 \, °C \)
- Boiling point elevation constant, \( K_b = 1.51 \, °C \cdot kg \cdot mol^{-1} \)
- Mass of urea, \( m_{\text{urea}} = 52.3 \, \text{g} \)
- Mass of solvent (liquid X), \( m_{\text{solvent}} = 650. \, \text{g} \)
The boiling point elevation (\( \Delta T_b \)) is calculated using the formula:
\[ \Delta T_b = K_b \cdot m \]
where \( m \) is the molality of the solution. Molality (m) is calculated as:
\[ m = \frac{\text{moles of solute}}{\text{kilograms of solvent}} \]
**Step 1: Calculate the moles of urea.**
- Molar mass of urea (CH\(_4\)N\(_2\)O):
\[
M_{\text{urea}} = 12.01 (\text{C}) + 4 \times 1.01 (\text{H}) + 2 \times 14.01 (\text{N}) + 16.00 (\text{O}) = 60.06 \, \text{g/mol}
\]
- Moles of urea:
\[
\text{moles of urea} = \frac{52.3 \, \text{g}}{60.06 \, \text{g/mol}} = 0.8704 \, \text{mol}
\]
**Step 2: Calculate the molality (m).**
- Mass of solvent (in kg):
\[
\text{mass of solvent
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images

Knowledge Booster
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
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning

Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education

Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning

Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning

Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education

Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning

Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education

Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning

Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY