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Integrated Rate Constant Calculator — result sheet
Calculate a zero-, first-, or second-order rate constant from initial concentration, final concentration, and elapsed time.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Zero order k=([A]₀−[A]t)/t; first order k=ln([A]₀/[A]t)/t; second order k=(1/[A]t−1/[A]₀)/t.
The selected integrated law determines the rate-constant units and the corresponding half-life estimate.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Reaction order — 3 choices
- Initial concentration [A]₀ — mol/L; minimum 1.0E-6; maximum 1000000
- Final concentration [A]t — mol/L; minimum 1.0E-6; maximum 1000000
- Elapsed time — s; minimum 1.0E-6; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Reaction order | first |
| Initial concentration [A]₀ | 1 |
| Final concentration [A]t | 0.5 |
| Elapsed time | 10 |
First-order rate constant = 0.06931 s⁻¹ and half-life = 10 s.
Assumptions and limits
- The reaction order is known and the entered concentration decreases over the time interval.
- The integrated single-reactant law applies with consistent concentration and time units.
- Temperature dependence, multiple reactants, reversibility, fitting uncertainty, and mechanism are not modeled.
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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