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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Many physical processes can be modeled by an exponential equation. For example, chemical reaction rates depend on a reaction-rate constant that is a function of temperature and activation energy:
                                                           Â
In this equation,
R = universal gas constant, 8.314 kJ/kmol K ,
Q = activation energy, in kJ/kmol,
T = temperature, in K, and
k0 = constant whose units depend on characteristics of the reaction. One possibility is s-1.
One approach to fi nding the values of k0 and Q from experimental data is to plot the natural logarithm of k on the y-axis and 1/ T on the x-axis. This should result in a straight line with slope -Q /R and intercept ln(k0)—that is,
                                         Â
since the equation now has the form
                                       y = ax + b
with . Now consider the following data: T,
                                          Â
(a) Plot the data with 1/ T on the x-axis and ln( k) on the y-axis.
(b) Use the polyfit function to find the slope of your graph, -Q /R,and the intercept, ln(k0).
(c) Calculate the value of Q. (d) Calculate the value of k0.
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