**Title: Understanding Activation Energy from Arrhenius Plots****7. Consider the following graphs of ln k versus 1/T for reactions A, B, C, and D:**- **Graph 1:** - **Axes:** The x-axis represents \( \frac{1}{T} \) (in \( K^{-1} \)). The y-axis represents \( \ln k \). - **Lines:** - Line A: Steepest slope. - Line B: Less steep compared to A.- **Graph 2:** - **Axes:** The x-axis represents \( \frac{1}{T} \) (in \( K^{-1} \)). The y-axis represents \( \ln k \). - **Lines:** - Line C: Steep slope. - Line D: Less steep compared to C.**Question:** Which reaction of the four (A, B, C, or D) would have the largest activation energy? Explain how you know your answer.**Explanation:**The activation energy (Ea) of a reaction can be determined from the slope of the line in an Arrhenius plot (ln k versus \( \frac{1}{T} \)). The slope of the line in these graphs is given by \( -\frac{Ea}{R} \), where \( R \) is the gas constant. A steeper slope indicates a larger magnitude of \( -\frac{Ea}{R} \), and therefore a larger activation energy.Based on the provided graphs:- Reaction A has the steepest slope, indicating the largest negative slope.- Therefore, Reaction A has the largest activation energy, as its slope \( -\frac{Ea}{R} \) has the greatest absolute value.The relative steepness of the lines indicates the order of activation energies:- **Largest activation energy:** Reaction A- **Next largest activation energy:** Reaction B, followed by C, and finally D.

According to Arrhenius equation activation energy is determined by the negative slope of the graph.

7. Consider the following graphs of In k versus 1/T for reactions A, B, C, and D. D In k In k 1 1 I (K-I) T (K-I) Which reaction of the four (A, B, C, or D) would have the largest activation energy? Explain how you know your answer.

7. Consider the following graphs of In k versus 1/T for reactions A, B, C, and D. D In k In k 1 1 I (K-I) T (K-I) Which reaction of the four (A, B, C, or D) would have the largest activation energy? Explain how you know your answer.

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter18: Chemical Kinetics

Section: Chapter Questions

Problem 69AP

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