Compare the Difference Between Similar Terms

Difference Between

Home / Science & Nature / Science / Chemistry / Organic Chemistry / Difference Between Arrhenius and Eyring Equation

Difference Between Arrhenius and Eyring Equation

December 3, 2020 Posted by Madhu

The key difference between Arrhenius and Eyring equation is that Arrhenius equation is an empirical equation whereas Eyring equation is based on the statistical mechanical justification.

Arrhenius equation and Eyring equation are two important equations in physical chemistry. When we are assuming a constant enthalpy of activation and constant entropy of activation, the Eyring equation is similar to the empirical Arrhenius equation.

CONTENTS

1. Overview and Key Difference
2. What is Arrhenius Equation
3. What is Eyring Equation
4. Side by Side Comparison – Arrhenius vs Eyring Equation in Tabular Form
5. Summary

What is Arrhenius Equation?

Arrhenius equation is a chemical formula that involves the temperature dependence of reaction rates. This equation was proposed and developed by the scientist Svante Arrhenius in 1889. The Arrhenius equation has many applications in determining the rate of chemical reactions and in the calculation of the energy of activation. In this context, the Arrhenius equation provides a physical justification and interpretation for the formula. Therefore, we can identify it as an empirical relationship. The Arrhenius equation is expressed as follows:

K = Ae(Ea/RT)

Where k is the rate constant for the reaction mixture, T is the absolute temperature of the system in Kelvins, A is the pre-exponential factor for the chemical reaction, Ea is the activation energy for the reaction and R is the universal gas constant. In this equation, when considering the units of the pre-exponential factor, A, it is identical to the units of the rate constant that will depend on the order of the reaction. E.g. if the reaction is first order, then the units of A is per second (s-1). In other words, in this reaction, A is the number of collisions per second that occurs in the proper orientation. Moreover, this relationship describes that either increasing the temperature or decreasing the activation energy will result in the increasing of the rate of reaction.

Difference Between Arrhenius and Eyring Equation

Figure 01: Different Derivatives of Arrhenius Equation

What Eyring Equation?

Eyring equation is an equation that describes the changes in the rate of a chemical reaction against the temperature of the reaction mixture. This equation was developed by Henry Eyring in 1935 along with two other scientists. Eyring equation is similar to Arrhenius equation when a constant enthalpy of activation and a constant entropy of activation are considered. The general formula for the Eyring equation is as follows:

Difference Between Arrhenius and Eyring Equation

Here ΔG‡ is the Gibbs energy of activation, κ is the transmission coefficient, kB is Boltzmann’s constant, and h is Planck’s constant.

What is the Difference Between Arrhenius and Eyring Equation?

Arrhenius and Eyring equation are important equations in physical chemistry. The key difference between Arrhenius and Eyring equation is that Arrhenius equation is an empirical equation whereas Eyring equation is based on the statistical mechanical justification. Moreover, Arrhenius equation is used to model the temperature variation of diffusion coefficients, the population of crystal vacancies, creep rates, and many other thermally-induced processes, while Eyring equation is useful in the transition state theory and there, it is known as activated-complex theory.

Below infographic tabulates the differences between Arrhenius and Eyring equation for side-by-side comparison.

Difference Between Arrhenius and Eyring Equation in Tabular Form

Summary – Arrhenius vs Eyring Equation

Arrhenius and Eyring equation are important equations in physical chemistry. The key difference between Arrhenius and Eyring equation is that Arrhenius equation is an empirical equation whereas Eyring equation is based on the statistical mechanical justification. Arrhenius equation is used to model the temperature variation of diffusion coefficients, the population of crystal vacancies, creep rates, and many other thermally-induced processes. Eyring equation, on the other hand, is useful in the transition state theory, and there, it is known as activated-complex theory.

Reference:

1. “6.2.3.1: Arrhenius Equation.” Chemistry LibreTexts, Libretexts, 11 Sept. 2020, Available here.
2. “Eyring Equation.” Wikipedia, Wikimedia Foundation, 16 Oct. 2020, Available here.

Image Courtesy:

1. “ArrheniusMundim new” By Kleber Carlos Mundim – Own work (CC BY-SA 4.0) via Commons Wikimedia

Related posts:

Difference Between Aldehyde and FormaldehydeDifference Between Aldehyde and Formaldehyde Difference Between Ether and Petroleum EtherDifference Between Ether and Petroleum Ether Difference Between Ester and EtherDifference Between Ester and Ether Difference Between Markovnikov and Anti-Markovnikov RuleDifference Between Markovnikov and Anti-Markovnikov Rule Difference Between Alkoxide and PhenoxideDifference Between Alkoxide and Phenoxide

Filed Under: Organic Chemistry

About the Author: Madhu

Madhu is a graduate in Biological Sciences with BSc (Honours) Degree and currently persuing a Masters Degree in Industrial and Environmental Chemistry. With a mind rooted firmly to basic principals of chemistry and passion for ever evolving field of industrial chemistry, she is keenly interested to be a true companion for those who seek knowledge in the subject of chemistry.

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Request Article

Featured Posts

Difference Between Coronavirus and Cold Symptoms

Difference Between Coronavirus and Cold Symptoms

Difference Between Coronavirus and SARS

Difference Between Coronavirus and SARS

Difference Between Coronavirus and Influenza

Difference Between Coronavirus and Influenza

Difference Between Coronavirus and Covid 19

Difference Between Coronavirus and Covid 19

You May Like

What is the Difference Between Portfolio and Resume

What is the Difference Between Portfolio and Resume

Difference Between Newton’s First Law and Inertia

Difference Between Newton’s First Law and Inertia

Difference Between Lacquer Thinner and Mineral Spirits

Difference Between De Jure and De Facto

Difference Between Male and Female Sacrum

Difference Between Male and Female Sacrum

Latest Posts

  • What is the Difference Between Chlorine Fluorine and Astatine
  • What is the Difference Between B Cell and T Cell Leukemia
  • What is the Difference Between Animal Pole and Vegetal Pole
  • What is the Difference Between Terminal and Bridging Carbonyls
  • What is the Difference Between Mycobacterium Tuberculosis and Mycobacterium Leprae
  • What is the Difference Between Cyanuric Acid and Muriatic Acid
  • Home
  • Vacancies
  • About
  • Request Article
  • Contact Us

Copyright © 2010-2018 Difference Between. All rights reserved. Terms of Use and Privacy Policy: Legal.