Arrhenius Equation (Graphical) Calculator
Temperature dependence of the rate constant — graphical/logarithmic form.
Formula first
Overview
The Arrhenius equation describes the mathematical relationship between the rate constant of a chemical reaction and its absolute temperature. It illustrates how the frequency factor and activation energy determine the temperature dependence of reaction kinetics.
Symbols
Variables
A = Pre-exponential Factor, = Activation Energy, R = Gas Constant, T = Temperature, k = Rate Constant
Apply it well
When To Use
When to use: Apply this model when investigating how changes in temperature influence the speed of a chemical reaction. It is the standard tool for calculating activation energy from experimental data where the rate constant is measured at several temperatures.
Why it matters: This equation is essential for predicting the stability of chemicals and food products over time. It allows chemical engineers to optimize temperature conditions in industrial reactors to balance yield and energy costs.
Avoid these traps
Common Mistakes
- Using Celsius instead of Kelvin.
- Mixing kJ and J for Ea.
One free problem
Practice Problem
A reaction has an activation energy (Ea) of 80,000 J/mol and a pre-exponential factor A = 2.5×10^13 s^-1. Calculate the rate constant k at 350 K. (R = 8.314 J/mol·K)
Solve for:
Hint: Use k = A × exp(-Ea / (RT)). Calculate the exponent first.
The full worked solution stays in the interactive walkthrough.
References
Sources
- Atkins' Physical Chemistry
- Wikipedia: Arrhenius equation
- IUPAC Gold Book: Arrhenius equation
- NIST CODATA
- Atkins' Physical Chemistry, 11th Edition
- IUPAC Gold Book
- Atkins' Physical Chemistry, 11th Edition, Peter W. Atkins, Julio de Paula, James Keeler
- IUPAC Gold Book (Compendium of Chemical Terminology)