For the gas phase isomerization of methyl cis-cinnamate, cis-C,H;CH=CHCOOCH;→trans-CH;CH=CHCOOCH3 the rate constant has been determined at several temperatures. When In k in s is plotted against the reciprocal of the Kelvin temperature, the resulting linear plot has a slope of -2.09x10ʻ K and a y-intercept of 24.3. The activation energy for the gas phase isomerization of methyl cis-cinnamate is kJ/mol.

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
I don’t know how to do this question about activation energy.
For the gas phase isomerization of methyl cis-cinnamate:

\[ \text{cis-C}_6\text{H}_5\text{CH=CHCOOCH}_3 \longrightarrow \text{trans-C}_6\text{H}_5\text{CH=CHCOOCH}_3 \]

The rate constant has been determined at several temperatures. When ln \( k \) in s\(^{-1}\) is plotted against the reciprocal of the Kelvin temperature, the resulting linear plot has a slope of -2.09 x 10\(^4\) K and a y-intercept of 24.3.

The activation energy for the gas phase isomerization of methyl cis-cinnamate is _______ kJ/mol.

**Diagram Explanation:**

There is no diagram or graph included in this text. The text refers to a linear graph plot description, where the natural logarithm of the rate constant \( k \) is plotted against the reciprocal of temperature in Kelvin. The graph's slope and y-intercept are provided, which are used to calculate the activation energy using the Arrhenius equation.

**Interactive Elements:**

- **Submit Answer Button:** Used to submit the calculated activation energy.
- **Retry Entire Group Button:** Allows a retry of the question, indicating multiple attempts are allowed.
- **Attempts Information:** Indicates "9 more group attempts remaining."
Transcribed Image Text:For the gas phase isomerization of methyl cis-cinnamate: \[ \text{cis-C}_6\text{H}_5\text{CH=CHCOOCH}_3 \longrightarrow \text{trans-C}_6\text{H}_5\text{CH=CHCOOCH}_3 \] The rate constant has been determined at several temperatures. When ln \( k \) in s\(^{-1}\) is plotted against the reciprocal of the Kelvin temperature, the resulting linear plot has a slope of -2.09 x 10\(^4\) K and a y-intercept of 24.3. The activation energy for the gas phase isomerization of methyl cis-cinnamate is _______ kJ/mol. **Diagram Explanation:** There is no diagram or graph included in this text. The text refers to a linear graph plot description, where the natural logarithm of the rate constant \( k \) is plotted against the reciprocal of temperature in Kelvin. The graph's slope and y-intercept are provided, which are used to calculate the activation energy using the Arrhenius equation. **Interactive Elements:** - **Submit Answer Button:** Used to submit the calculated activation energy. - **Retry Entire Group Button:** Allows a retry of the question, indicating multiple attempts are allowed. - **Attempts Information:** Indicates "9 more group attempts remaining."
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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