2. Toluene has a vapor pressure of 40.4 mm Hg at 4.4°C and 3166.0 mm Hg at 55.2°C. Solve for the AHvap of toluene. At what temperature will toluene have a vapor pressure of 700.0 mm Hg? goitonib
2. Toluene has a vapor pressure of 40.4 mm Hg at 4.4°C and 3166.0 mm Hg at 55.2°C. Solve for the AHvap of toluene. At what temperature will toluene have a vapor pressure of 700.0 mm Hg? goitonib
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
![### Problem Statement on Vapor Pressure of Toluene
**Problem 2:**
Toluene has a vapor pressure of 40.4 mm Hg at 4.4°C and 316.0 mm Hg at 52.2°C. Solve for the ΔHvap (enthalpy of vaporization) of toluene. At what temperature will toluene have a vapor pressure of 700.0 mm Hg?
---
**Explanation:**
This problem involves determining the enthalpy of vaporization (ΔHvap) for toluene using the Clausius-Clapeyron equation and subsequently solving for the temperature at which toluene will achieve a specified vapor pressure.
Ensure to follow the steps of using the Clausius-Clapeyron equation:
1. **Identify the given data:**
- Vapor pressure (P1) = 40.4 mm Hg at T1 = 4.4°C
- Vapor pressure (P2) = 316.0 mm Hg at T2 = 52.2°C
- Desired vapor pressure (P3) = 700.0 mm Hg
2. **Convert temperatures from Celsius to Kelvin:**
- T1 = 4.4 + 273.15 = 277.55 K
- T2 = 52.2 + 273.15 = 325.35 K
3. **Use the Clausius-Clapeyron equation:**
\[
\ln \left( \frac{P2}{P1} \right) = \frac{\Delta H_{vap}}{R} \left( \frac{1}{T1} - \frac{1}{T2} \right)
\]
- Where R is the universal gas constant (8.314 J/mol·K).
4. **Rearrange the equation to solve for ΔHvap:**
\[
\Delta H_{vap} = \frac{ \ln \left( \frac{P2}{P1} \right) \times R }{ \left( \frac{1}{T1} - \frac{1}{T2} \right) }
\]
5. **Once ΔHvap is determined, use it to find the new temperature (T3) for P3 using the Clausius-Clapeyron equation again:**
\[
\](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2609b9a-bccc-4ea0-ab3c-7cfd8cf7907c%2F41d27530-bb26-43aa-99db-abe9c30ef3ea%2F760z84_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement on Vapor Pressure of Toluene
**Problem 2:**
Toluene has a vapor pressure of 40.4 mm Hg at 4.4°C and 316.0 mm Hg at 52.2°C. Solve for the ΔHvap (enthalpy of vaporization) of toluene. At what temperature will toluene have a vapor pressure of 700.0 mm Hg?
---
**Explanation:**
This problem involves determining the enthalpy of vaporization (ΔHvap) for toluene using the Clausius-Clapeyron equation and subsequently solving for the temperature at which toluene will achieve a specified vapor pressure.
Ensure to follow the steps of using the Clausius-Clapeyron equation:
1. **Identify the given data:**
- Vapor pressure (P1) = 40.4 mm Hg at T1 = 4.4°C
- Vapor pressure (P2) = 316.0 mm Hg at T2 = 52.2°C
- Desired vapor pressure (P3) = 700.0 mm Hg
2. **Convert temperatures from Celsius to Kelvin:**
- T1 = 4.4 + 273.15 = 277.55 K
- T2 = 52.2 + 273.15 = 325.35 K
3. **Use the Clausius-Clapeyron equation:**
\[
\ln \left( \frac{P2}{P1} \right) = \frac{\Delta H_{vap}}{R} \left( \frac{1}{T1} - \frac{1}{T2} \right)
\]
- Where R is the universal gas constant (8.314 J/mol·K).
4. **Rearrange the equation to solve for ΔHvap:**
\[
\Delta H_{vap} = \frac{ \ln \left( \frac{P2}{P1} \right) \times R }{ \left( \frac{1}{T1} - \frac{1}{T2} \right) }
\]
5. **Once ΔHvap is determined, use it to find the new temperature (T3) for P3 using the Clausius-Clapeyron equation again:**
\[
\
Expert Solution

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