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Activation Energy from Two Rates — result sheet
Estimate an apparent activation energy from two rate constants measured at different absolute temperatures.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Ea = R ln(k2/k1) / (1/T1 - 1/T2), with R = 8.314462618 J/(mol K).
The two-point Arrhenius relation estimates how strongly a rate changes with absolute temperature. The result is an apparent activation energy and is sensitive to measurement noise, temperature control, and whether one mechanism dominates both measurements.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Rate constant at T1 — same rate unit; minimum 1.0E-6; maximum 1000000000000
- Temperature T1 — K; minimum 1.0E-6; maximum 100000
- Rate constant at T2 — same rate unit; minimum 1.0E-6; maximum 1000000000000
- Temperature T2 — K; minimum 1.0E-6; maximum 100000
Worked example
| Input | Value |
|---|---|
| Rate constant at T1 | 0.1 |
| Temperature T1 | 300 |
| Rate constant at T2 | 1 |
| Temperature T2 | 350 |
Apparent activation energy is about 40.21 kJ/mol.
Assumptions and limits
- Both rate constants use the same units and represent the same reaction or process.
- Temperatures are absolute kelvin and are different from one another.
- The two measurements are treated as a two-point Arrhenius estimate rather than a full kinetic fit.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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