Arrhenius Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Arrhenius equation, abbreviated as Ar, a dimensionless number, is where the temperature dependance of the reaction rate constant which is the rate of chemical reaction.  Chemical reactions are typically expected to preceed faster at higher temeratures and slower at lower temperatures.  As the temperature rises, molecules move faster and collide, greatly increasing their likelyhood to bond.  This results in a higher kinetic energy, which has an affect on the activation energy of the reaction.

Arrhenius equation

 $$\large{ Ar = \frac{E_a}{R \; T} }$$

Where:

 Units English Metric $$\large{ Ar }$$ = Arrhenius number $$\large{dimensionless}$$ $$\large{ E_a }$$ = activation energy $$\large{ft-lbf}$$ $$\large{J}$$ $$\large{ T }$$ = temperature $$\large{F}$$ $$\large{K}$$ $$\large{ R }$$ = universal gas constant $$\large{ \frac{lbf-ft}{lbmol-R} }$$ $$\large{ \frac{J}{kmol-K} }$$

Tags: Mass Equations