Arrhenius Equations for Reaction Rate and Viscosity

This Demonstration considers the effect of temperature on the rate of processes obeying the Arrhenius equation, specifically chemical reaction rates and fluid viscosity. We plot the reaction rate or viscosity as a function of the energy of activation. It is shown that increasing the temperature can accelerate chemical reaction rates and lower the viscosity of fluids.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


Snapshot 1: rate of reaction with a high energy of activation
Snapshot 2: rate of reaction with a low energy of activation
Snapshot 3: effect of temperature on viscosity of a Newtonian fluid
This Demonstration shows the temperature dependence of reaction rates or viscosity according to the Arrhenius equation, , where is the temperature, is a reference temperature (both in K), and are appropriate parameter values at the respective temperatures, is the "energy of activation" (in J, kJ, cal, or kcal per mole), and is the universal gas constant. If is positive, as in most chemical and biochemical reactions, rises with temperature; if negative, decreases with temperature, which is usually the case for viscosity.
The Demonstration plots the versus relationship on a linear scale (top), with the corresponding versus plot (bottom). The value of at the chosen temperature is shown as a blue dot on both plots and its numerical value is shown above the top plot.
The values of the parameters can be entered directly or by moving the slider. The maximum value of the , , and axes can also be adjusted. The order of magnitude of may be selected from a popup menu. Not all allowed settings produce plots that correspond to physical systems.
D. Purich and R. D. Allison, Handbook of Biochemical Kinetics, San Diego, CA: Academic Press, 2000.
G. Drobny, P. Reid, and T. Engel, Physical Chemistry for the Life Sciences, Upper Saddle River, NJ: Prentice Hall, 2008.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2018 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+