Activation Energy Calculator

Formula

To calculate the Activation Energy (E):

\[ E = -R \times T \times \ln\left(\frac{k}{A}\right) \]

Where:

\( E \) is the activation energy
\( R \) is the gas constant
\( T \) is the temperature
\( k \) is the rate coefficient
\( A \) is the constant

What is Activation Energy?

Activation Energy is the total energy needed for a chemical reaction to occur. It’s most often used in chemistry and thermodynamics. These reactions can include things like combustion.

Example Calculation

Let's assume the following values:

Gas Constant \( R \) = 8.314 J/(mol·K)
Temperature \( T \) = 298 K
Rate Coefficient \( k \) = 0.001
Constant \( A \) = 0.01

Step 1: Use the activation energy calculation formula:

\[ E = -8.314 \times 298 \times \ln\left(\frac{0.001}{0.01}\right) \approx 5704.56 \text{ J/mol} \]

The Activation Energy is approximately 5704.56 J/mol.