Activation Energy Calculator
Calculate the activation energy (Ea) of a chemical reaction using two rate constants and temperatures.
Calculation Parameters
Adjust the values below.
Calculated Result
Expert Tip
Ensure units are correctly formatted (e.g. Kelvin for gas temperatures and liters for volumes) to get chemically accurate outputs.
How this Calculator Works
This calculator allows you to solve Activation Energy problems dynamically. Adjust the input parameters using the sliders or selection menu below:
- Rate Constant 1 (k1, s⁻¹) (Range: 0.001 to 10.000, Default: 0.100)
- Temperature 1 (T1, °C) (Range: 0 to 500, Default: 25)
- Rate Constant 2 (k2, s⁻¹) (Range: 0.01 to 100.00, Default: 1.00)
- Temperature 2 (T2, °C) (Range: 0 to 500, Default: 100)
The results are computed instantly and updated in the results panel on the right.
Formula & Methodology
where R = 8.314 J/(mol*K), and T is in Kelvin
Where:
- Rate Constant 1: Parameter value.
- Temperature 1: Parameter value.
- Rate Constant 2: Parameter value.
- Temperature 2: Parameter value.
Step-by-Step Calculation Example
To calculate Activation Energy manually, follow these steps:
- Identify the input parameters. For example:
- Rate Constant 1 (k1, s⁻¹) = 0.100
- Temperature 1 (T1, °C) = 25
- Rate Constant 2 (k2, s⁻¹) = 1.00
- Temperature 2 (T2, °C) = 100
- Apply the formula:
Ea = R * (T1 * T2) / (T2 - T1) * ln(k2 / k1)
where R = 8.314 J/(mol*K), and T is in Kelvin - Verify the calculated value which is updated instantly in the results panel on the right.
Frequently Asked Questions
What is activation energy (Ea)? ▼
Activation energy is the minimum kinetic energy colliding reactant molecules must possess to initiate a chemical reaction.
What is the two-temperature Arrhenius equation for Ea? ▼
Ea = (R × T1 × T2 / (T2 - T1)) × ln(k2 / k1), where R = 8.314 J/(mol·K).
How do catalysts lower activation energy? ▼
Catalysts provide an alternative reaction mechanism with a lower activation energy barrier without being consumed.