A reactant decomposes with a half-life of 103 s when its initial concentration is 0.270 M. When the initial concentration is 0.605 M, this same reactant decomposes with the same half-life of 103 s. What is the order of the reaction? O 2 01 What is the value and unit of the rate constant for this reaction?
A reactant decomposes with a half-life of 103 s when its initial concentration is 0.270 M. When the initial concentration is 0.605 M, this same reactant decomposes with the same half-life of 103 s. What is the order of the reaction? O 2 01 What is the value and unit of the rate constant for this reaction?
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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![### Reaction Kinetics Problem
A reactant decomposes with a half-life of 103 s when its initial concentration is 0.270 M. When the initial concentration is 0.605 M, this same reactant decomposes with the same half-life of 103 s.
**Questions:**
1. **What is the order of the reaction?**
- [ ] 0
- [ ] 2
- [ ] 1
2. **What is the value and unit of the rate constant for this reaction?**
\( k = \) [________] Units: [________]
### Explanation
To solve the problem:
- **Determine the order of the reaction:** A reaction whose half-life is independent of initial concentration is a first-order reaction.
- **Calculate the rate constant \( k \):** For a first-order reaction, the rate constant \( k \) can be calculated using the relation:
\[
t_{1/2} = \frac{0.693}{k}
\]
Given that the half-life \( t_{1/2} \) is 103 s, solve for \( k \):
\[
k = \frac{0.693}{103 \text{ s}}
\]
Fill in the value and unit for \( k \) in the provided space.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04d91ec5-5dc8-475a-a219-706d13e893d1%2F8f50ad4f-abba-48bd-85a0-7785b5981f13%2Fb40a14d.jpeg&w=3840&q=75)
Transcribed Image Text:### Reaction Kinetics Problem
A reactant decomposes with a half-life of 103 s when its initial concentration is 0.270 M. When the initial concentration is 0.605 M, this same reactant decomposes with the same half-life of 103 s.
**Questions:**
1. **What is the order of the reaction?**
- [ ] 0
- [ ] 2
- [ ] 1
2. **What is the value and unit of the rate constant for this reaction?**
\( k = \) [________] Units: [________]
### Explanation
To solve the problem:
- **Determine the order of the reaction:** A reaction whose half-life is independent of initial concentration is a first-order reaction.
- **Calculate the rate constant \( k \):** For a first-order reaction, the rate constant \( k \) can be calculated using the relation:
\[
t_{1/2} = \frac{0.693}{k}
\]
Given that the half-life \( t_{1/2} \) is 103 s, solve for \( k \):
\[
k = \frac{0.693}{103 \text{ s}}
\]
Fill in the value and unit for \( k \) in the provided space.
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