Eyring polanyi vs arrhenius equation

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SUMMARY

The Eyring-Polanyi equation offers significant advantages over the Arrhenius equation due to its derivation from the microscopic mechanism of chemical reactions, incorporating more parameters such as entropy and enthalpy. In contrast, the Arrhenius equation is purely empirical and relies solely on activation energy. The logarithmic transformation of both equations reveals a linear relationship for the Arrhenius plot, while the Eyring-Polanyi equation exhibits a slightly nonlinear relationship. Researchers can derive an Arrhenius-like approximation to the Eyring-Polanyi equation by analyzing the slope and offset of the tangent line at a specific point on the logarithmized curve.

PREREQUISITES
  • Understanding of kinetic theory of gases
  • Familiarity with the Arrhenius equation and its parameters
  • Knowledge of the Eyring-Polanyi equation and transition state theory
  • Basic skills in logarithmic transformations and graph analysis
NEXT STEPS
  • Study the derivation of the Eyring-Polanyi equation in detail
  • Explore the significance of entropy and enthalpy in chemical kinetics
  • Learn how to perform logarithmic transformations on equations
  • Investigate methods for determining the Arrhenius prefactor and energy from Eyring-Polanyi data
USEFUL FOR

Chemists, chemical engineers, and researchers in physical chemistry seeking to deepen their understanding of reaction kinetics and the comparative analysis of kinetic models.

aaku516
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They both are derived from same kinetic theory of gases, but I've heard that eyring polanyi equation is more advantageous over the arrhenius equation. Why do you think that is the case?
 
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Arrhenius equation is purely empirical, while the Eyring Polanyi equation is derived from the microscopic mechanism.
 
According to a brief examination of the varaibles and constants involved in the arrenhenius equation and eyring polanyi equation, what I've noticed is that there are more parameters of the transition state (such as entropy and enthalpy) involved in the eyring polanyi equation as opposed to only just the activation energy that can be determined from the arrenhrnius one, and also the preexponential factor in the arrenhenius equation doesn't really tell us much..
Am I on the right track?
 
When you logarithmize both equations, you will get a linear equation in case of the Arrhenius plot. In the case of the EP equation, the relation will be slightly nonlinear.
You can find the best Arrhenius like approximation to the EP equation from the slope and offset of the line tangent to the logarithmized EP equation at a given point.
Try to determine the values of the Arrhenius prefactor and energy this way!
 

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