Using the data in the table, calculate the rate constant of chis reaction. [A] (M) [B] (М) Trial Rate (M/s) 1 0.290 0.390 0.0101 А +В — С +D 2 0.290 0.858 0.0489 3 0.493 0.390 0.0172 k = Units
Using the data in the table, calculate the rate constant of chis reaction. [A] (M) [B] (М) Trial Rate (M/s) 1 0.290 0.390 0.0101 А +В — С +D 2 0.290 0.858 0.0489 3 0.493 0.390 0.0172 k = Units
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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![### Calculating the Rate Constant of a Reaction
Using the data in the table below, calculate the rate constant \( k \) of the following reaction:
\[ A + B \rightarrow C + D \]
#### Data Table
| Trial | [A] (M) | [B] (M) | Rate (M/s) |
|-------|---------|---------|------------|
| 1 | 0.290 | 0.390 | 0.0101 |
| 2 | 0.290 | 0.858 | 0.0489 |
| 3 | 0.493 | 0.390 | 0.0172 |
#### Calculation
\[ k = \]
#### Units
#### Explanation of Calculation Method:
1. **Rate Law Expression**: The rate law for this reaction can be generally expressed as:
\[ \text{Rate} = k [A]^m [B]^n \]
2. **Determine Reaction Orders**: By comparing the rates from different trials, determine the reaction orders \( m \) and \( n \) with respect to \( A \) and \( B \).
3. **Calculate \( k \)**: Once the reaction orders are known, substitute the concentrations and rates into the rate law expression and solve for \( k \).
4. **Units for \( k \)**: Depending on the reaction orders, the units for \( k \) will vary and can be determined from the rearranged rate law expression.
Fill in the calculated value for \( k \) and its units in the provided spaces.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff00f8b75-2bac-4335-a200-62a4fa07a89d%2F8561f72f-96f4-41ca-8600-167177326a29%2Fwon8xnh_processed.png&w=3840&q=75)
Transcribed Image Text:### Calculating the Rate Constant of a Reaction
Using the data in the table below, calculate the rate constant \( k \) of the following reaction:
\[ A + B \rightarrow C + D \]
#### Data Table
| Trial | [A] (M) | [B] (M) | Rate (M/s) |
|-------|---------|---------|------------|
| 1 | 0.290 | 0.390 | 0.0101 |
| 2 | 0.290 | 0.858 | 0.0489 |
| 3 | 0.493 | 0.390 | 0.0172 |
#### Calculation
\[ k = \]
#### Units
#### Explanation of Calculation Method:
1. **Rate Law Expression**: The rate law for this reaction can be generally expressed as:
\[ \text{Rate} = k [A]^m [B]^n \]
2. **Determine Reaction Orders**: By comparing the rates from different trials, determine the reaction orders \( m \) and \( n \) with respect to \( A \) and \( B \).
3. **Calculate \( k \)**: Once the reaction orders are known, substitute the concentrations and rates into the rate law expression and solve for \( k \).
4. **Units for \( k \)**: Depending on the reaction orders, the units for \( k \) will vary and can be determined from the rearranged rate law expression.
Fill in the calculated value for \( k \) and its units in the provided spaces.
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