Home Back

Two Point Arrhenius Equation Calculator

Arrhenius Equation:

\[ Ea = \frac{-R \ln\left(\frac{k_2}{k_1}\right)}{\left(\frac{1}{T_2} - \frac{1}{T_1}\right)} \]

1/s
K
1/s
K

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the Arrhenius Equation?

The Arrhenius equation describes the temperature dependence of reaction rates. The two-point form calculates activation energy (Ea) from rate constants at two different temperatures.

2. How Does the Calculator Work?

The calculator uses the two-point Arrhenius equation:

\[ Ea = \frac{-R \ln\left(\frac{k_2}{k_1}\right)}{\left(\frac{1}{T_2} - \frac{1}{T_1}\right)} \]

Where:

Explanation: The equation relates the natural logarithm of the rate constant ratio to the inverse temperature difference.

3. Importance of Activation Energy

Details: Activation energy represents the minimum energy needed for a chemical reaction to occur. It helps predict reaction rates at different temperatures and understand reaction mechanisms.

4. Using the Calculator

Tips: Enter rate constants in 1/s and temperatures in Kelvin. All values must be positive, and temperatures must be different.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: Rate constants in 1/s, temperatures in Kelvin. The result is in J/mol (divide by 1000 for kJ/mol).

Q2: Why must temperatures be different?
A: The denominator would be zero with identical temperatures, making the equation undefined.

Q3: What's a typical range for Ea?
A: Most reactions have Ea between 50-250 kJ/mol (50,000-250,000 J/mol).

Q4: Can I use Celsius temperatures?
A: No, you must convert to Kelvin first (K = °C + 273.15).

Q5: How accurate is this method?
A: For precise results, measure rate constants at multiple temperatures and perform linear regression on an Arrhenius plot.

Two Point Arrhenius Equation Calculator© - All Rights Reserved 2025