Arrhenius Equation Calculator
Calculate the chemical reaction rate constant (k) using frequency factor, temperature, and activation energy.
Calculation Parameters
Adjust the values below.
Calculated Result
Rate Constant (k)
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 Arrhenius Equation problems dynamically. Adjust the input parameters using the sliders or selection menu below:
- Pre-exponential Factor - Coefficient (A) (Range: 1.0 to 9.9, Default: 1.0)
- Pre-exponential Factor - Exponent (10^x) (Range: 5 to 15, Default: 11)
- Activation Energy (Ea, kJ/mol) (Range: 1 to 200, Default: 50)
- Temperature (T, °C) (Range: -50 to 500, Default: 25)
The results are computed instantly and updated in the results panel on the right.
Formula & Methodology
where R = 8.314 J/(mol*K), Ea is in J/mol, and T is in Kelvin
Where:
- Pre-exponential Factor - Coefficient: Parameter value.
- Pre-exponential Factor - Exponent: Parameter value.
- Activation Energy: Parameter value.
- Temperature: Parameter value.
Step-by-Step Calculation Example
To calculate Arrhenius Equation manually, follow these steps:
- Identify the input parameters. For example:
- Pre-exponential Factor - Coefficient (A) = 1.0
- Pre-exponential Factor - Exponent (10^x) = 11
- Activation Energy (Ea, kJ/mol) = 50
- Temperature (T, °C) = 25
- Apply the formula:
k = A * e^(-Ea / (R * T))
where R = 8.314 J/(mol*K), Ea is in J/mol, 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 the Arrhenius equation? ▼
k = A × e^(-Ea / (R × T)), describing the temperature dependence of reaction rate constants.
What is the pre-exponential factor (A)? ▼
The pre-exponential factor (frequency factor) represents total collision frequency with correct steric orientation.
How does temperature affect chemical reaction rates? ▼
Increasing temperature exponentially increases reaction rate by providing a larger fraction of molecules with energy ≥ Ea.