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A reaction has a rate constant of 1.27×10−4 s−1s−1 at 29  ∘C ∘C and 0.233 s−1s−1 at 76  ∘C ∘C . Part A Determine the activation barrier for the reaction.         Express your answer in units of kilojoules per mole.   Part B   What is the value of the rate constant at 15  ∘C ∘C ?         Express your answer in units of inverse seconds.

A reaction has a rate constant of 1.27×10−4 s−1s−1 at 29  ∘C ∘C and 0.233 s−1s−1 at 76  ∘C ∘C . Part A Determine the activation barrier for the reaction.         Express your answer in units of kilojoules per mole.   Part B   What is the value of the rate constant at 15  ∘C ∘C ?         Express your answer in units of inverse seconds.

Chemistry
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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A reaction has a rate constant of 1.27×10−4 s−1s−1 at 29  ∘C ∘C and 0.233 s−1s−1 at 76  ∘C ∘C .

Part A

Determine the activation barrier for the reaction.        
Express your answer in units of kilojoules per mole.
 
Part B
 
What is the value of the rate constant at 15  ∘C ∘C ?        
Express your answer in units of inverse seconds.
Expert Solution
Step 1: Arrhenius equation

Answer:

This question is based on Arrhenius equation which is mentioned below:

ln straight k subscript 2 over straight k subscript 1 equals straight E subscript straight a over straight R open parentheses 1 over straight T subscript 1 minus 1 over straight T subscript 2 close parentheses

Here:

straight E subscript straight a equals activation space energy straight R equals universal space gas space constant

straight k subscript 2 and  straight k subscript 1 are the rate constants at temperatures T2 and T1 respectively

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