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Encyclopedia > Eyring equation

The Eyring equation in chemical kinetics relates the reaction rate to temperature. It was developed by Henry Eyring. This equation follows from his transition state theory and contrary to the empirical Arrhenius equation this model is theoretical. In physical chemistry, chemical kinetics or reaction kinetics study reaction rates in a chemical reaction. ... The reaction rate for a reactant or product in a particular reaction is defined as the amount (in moles or mass units) per unit time per unit volume that is formed or removed. ... Temperature is the physical property of a system which underlies the common notions of hot and cold; the material with the higher temperature is said to be hotter. ... Henry Eyring (February 20, 1901 - December 26, 1981) was a theoretical chemist whose primary contribution was in the study of chemical reaction rates and intermediates. ... Empirical is an adjective often used in conjunction with science, both the natural and social sciences, which means an observation or experiment based upon experience that is capable of being verified or disproved. ... The Arrhenius equation is a simple, but remarkably accurate, formula for the temperature dependence of a chemical reaction rate. ...


The linear form of the Eyring equation is:


 Ln(k/T) = -Delta H^# / R*1/T + Ln(k_b/h) + Delta S^# / R


with:

A certain chemical reaction is performed at different temperatures and the reaction rate is determined. The plot of  Ln(k/T) versus  1/T gives a strait line with slope  -Delta H^# / R from which the enthalpy of activation can be derived and with intercept  Ln(k_b/h) + Delta S^# / R from which the entropy of activation is derived. The reaction rate for a reactant or product in a particular reaction is defined as the amount (in moles or mass units) per unit time per unit volume that is formed or removed. ... Absolute zero is the lowest temperature that can be obtained in any macroscopic system. ... The gas constant (also known as the universal or ideal gas constant, usually denoted by symbol R) is a physical constant used in equations of state to relate various groups of state functions to one another. ... The Boltzmann constant (k or kB) is the physical constant relating temperature to energy. ... A commemoration plaque for Max Planck on his discovery of Plancks constant, in front of Humboldt University, Berlin. ... Enthalpy (symbolized H, also called heat content) is the sum of the internal energy of matter and the product of its volume multiplied by the pressure. ... The thermodynamic entropy S, often simply called the entropy in the context of thermodynamics, is a measure of the amount of energy in a physical system that cannot be used to do work. ...


External links

  • Eyring equation at the University of Regensburg


 

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