Analyze Arrhenius behavior and integrated rate laws easily. Review units, graphs, and calculated reaction metrics. Build clearer process insights with dependable engineering-friendly kinetic outputs.
| Method | Example Inputs | Rate Constant Output | Engineering Use |
|---|---|---|---|
| Arrhenius Equation | T = 350 K, Ea = 75 kJ/mol, A = 1,250,000 1/s | k ≈ 7.963428E-06 1/s | Estimate temperature sensitivity of reaction speed. |
| Zero-Order Kinetics | C₀ = 1.20 mol/L, Cₜ = 0.45 mol/L, t = 10 s | k = 0.075000 mol/L/s | Track linear reactant depletion in surface-limited systems. |
| First-Order Kinetics | C₀ = 1.20 mol/L, Cₜ = 0.45 mol/L, t = 10 s | k ≈ 0.098083 1/s | Model decay, sterilization, or simple decomposition processes. |
| Second-Order Kinetics | C₀ = 1.20 mol/L, Cₜ = 0.45 mol/L, t = 10 s | k ≈ 0.138889 1/(mol/L·s) | Evaluate bimolecular and concentration-sensitive reactions. |
k = A × exp(-Ea / (R × T))
Use this when temperature, activation energy, and frequency factor are known. Here, R = 8.314462618 J/mol·K.
Ct = C0 - k × t
k = (C0 - Ct) / t
Zero-order systems lose concentration at a constant rate.
ln(Ct) = ln(C0) - k × t
k = ln(C0 / Ct) / t
First-order reactions scale directly with concentration.
(1 / Ct) = (1 / C0) + k × t
k = [(1 / Ct) - (1 / C0)] / t
Second-order systems respond strongly to concentration changes.
Zero: t1/2 = C0 / (2k)
First: t1/2 = ln(2) / k
Second: t1/2 = 1 / (k × C0)
Half-life is shown when the inputs produce a positive k.
Zero: r = k
First: r = k × Ct
Second: r = k × Ct²
The calculator also reports instantaneous rate at final concentration.
It measures how quickly a reaction progresses under defined conditions. Larger values generally indicate faster change, but the physical meaning depends on reaction order and chosen units.
Units depend on the reaction order. Zero-order uses concentration per time, first-order uses inverse time, and second-order uses inverse concentration multiplied by inverse time.
Use it when temperature effects are important and you know activation energy and the pre-exponential factor. It is useful for thermal process design, scale-up, and sensitivity studies.
A negative value usually means the input trend does not match the assumed reaction model. Check concentration measurements, elapsed time, and whether the selected order is appropriate.
The graph matches the selected model. Arrhenius mode shows temperature versus k, while concentration-based modes show predicted concentration profiles over time.
Yes. Concentration units are entered as text, and the Arrhenius mode also allows a custom rate constant unit label. The calculator displays those labels in the results.
Half-life helps compare response speed across processes. It tells you how long it takes the concentration to drop to half its starting value for the chosen kinetic model.
They are useful for estimation, screening, and education. Final engineering design should still use validated reaction data, uncertainty checks, and process-specific constraints.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.