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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![**Question 2: Determining Activation Energy**
At 32.0°C, the rate constant of a reaction is 0.0550 s⁻¹. Given that the frequency factor is 1.20 x 10¹³ s⁻¹, calculate the activation energy.
---
To solve this problem, you can use the Arrhenius equation:
\[ k = A e^{-E_a/(RT)} \]
Where:
- \( k \) is the rate constant,
- \( A \) is the frequency factor,
- \( E_a \) is the activation energy,
- \( R \) is the universal gas constant (8.314 J/mol·K),
- \( T \) is the temperature in Kelvin.
**Steps to solve:**
1. Convert the given temperature from Celsius to Kelvin by adding 273.15.
2. Rearrange the Arrhenius equation to solve for the activation energy \( E_a \).
3. Substitute the given values and constants into the equation.
4. Solve for \( E_a \).
Note: Pay careful attention to units throughout the calculation to ensure accuracy.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b8356a3-8ffd-4b0d-99e3-2fe5523dae0d%2F1551e450-9c53-4d9f-8fa4-ad0dac9e6d6c%2Fp044v8ae_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 2: Determining Activation Energy**
At 32.0°C, the rate constant of a reaction is 0.0550 s⁻¹. Given that the frequency factor is 1.20 x 10¹³ s⁻¹, calculate the activation energy.
---
To solve this problem, you can use the Arrhenius equation:
\[ k = A e^{-E_a/(RT)} \]
Where:
- \( k \) is the rate constant,
- \( A \) is the frequency factor,
- \( E_a \) is the activation energy,
- \( R \) is the universal gas constant (8.314 J/mol·K),
- \( T \) is the temperature in Kelvin.
**Steps to solve:**
1. Convert the given temperature from Celsius to Kelvin by adding 273.15.
2. Rearrange the Arrhenius equation to solve for the activation energy \( E_a \).
3. Substitute the given values and constants into the equation.
4. Solve for \( E_a \).
Note: Pay careful attention to units throughout the calculation to ensure accuracy.
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