If the slope of an Arrhenius plot is - 43,750 K, determine the activation energy.

Chemistry: Principles and Practice
3rd Edition
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Chapter13: Chemical Kinetics
Section: Chapter Questions
Problem 13.17QE
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If the slope of an Arrhenius plot is - 43,750 K, determine the activation energy.   
 
Expert Solution
Step 1

As per the Arrhenius equation :

k = A*e^(-Ea/RT)

=> ln (k) =  ln (A)  - Ea/RT

where k is rate constant

A = Arrhenius constant

R = gas constant  = 8.314 J/(K*mole)

T = absolute temperature  in K

Ea= Energy of activation in J

so if we draw a graph of ln (k) vs 1/T, it would be straight line and slope  = - Ea/R

 

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