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...
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![**Determine the Rate Law for the Overall Reaction Using the Mechanisms Listed**
The overall chemical reaction is:
\[ \text{F}_2 + \text{CHF}_3 \rightarrow \text{HF} + \text{CF}_4 \]
Below are the detailed reaction steps with their speeds:
**Step #1:**
\[ \text{F}_2 \rightleftharpoons 2 \text{F} \]
(Fast)
**Step #2:**
\[ \text{F} + \text{CHF}_3 \rightarrow \text{HF} + \text{CF}_3 \]
(Slow)
**Step #3:**
\[ \text{F} + \text{CF}_3 \rightarrow \text{CF}_4 \]
(Fast)
**Multiple Choice Options for the Rate Law:**
- \( \text{rate} = k [\text{F}_2]^{1/2}[\text{CHF}_3] \)
- \( \text{rate} = k [\text{F}]^2 \)
- \( \text{rate} = k [\text{F}][\text{CHF}_3] \)
- \( \text{rate} = k [\text{F}_2]^{1/2} \)
- \( \text{rate} = k [\text{F}_2][\text{CHF}_3] \)
**Considerations:**
- Identify the slow step as it often determines the rate law.
- Use knowledge of chemical kinetics to derive the rate expression.
This exercise helps in understanding reaction mechanisms and determining the appropriate rate law.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0a27453-ff0d-46df-adbf-24c2f3649a18%2F4c396125-5e09-4184-a2c2-705744016378%2Ffnhttb8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Determine the Rate Law for the Overall Reaction Using the Mechanisms Listed**
The overall chemical reaction is:
\[ \text{F}_2 + \text{CHF}_3 \rightarrow \text{HF} + \text{CF}_4 \]
Below are the detailed reaction steps with their speeds:
**Step #1:**
\[ \text{F}_2 \rightleftharpoons 2 \text{F} \]
(Fast)
**Step #2:**
\[ \text{F} + \text{CHF}_3 \rightarrow \text{HF} + \text{CF}_3 \]
(Slow)
**Step #3:**
\[ \text{F} + \text{CF}_3 \rightarrow \text{CF}_4 \]
(Fast)
**Multiple Choice Options for the Rate Law:**
- \( \text{rate} = k [\text{F}_2]^{1/2}[\text{CHF}_3] \)
- \( \text{rate} = k [\text{F}]^2 \)
- \( \text{rate} = k [\text{F}][\text{CHF}_3] \)
- \( \text{rate} = k [\text{F}_2]^{1/2} \)
- \( \text{rate} = k [\text{F}_2][\text{CHF}_3] \)
**Considerations:**
- Identify the slow step as it often determines the rate law.
- Use knowledge of chemical kinetics to derive the rate expression.
This exercise helps in understanding reaction mechanisms and determining the appropriate rate law.
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