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Reaction Rate Calculator

· Last updated:2026-07-27

Fit zero-order, first-order, and second-order rate equations to concentration-time data. Get reaction order, rate constant k, half-life t½, and R² goodness-of-fit.

Details

What this tool helps you do

Enter your experimental concentration-vs-time data points and the tool fits all three integrated rate laws in parallel: zero-order ([A] vs t), first-order (ln[A] vs t), and second-order (1/[A] vs t). It reports each model's rate constant k, the linearization R², and the half-life, then identifies which order best fits your data (highest R²). Ideal for general-chemistry kinetics labs where you need to determine the reaction order from experimental data.

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Written by the Elysia Tools team

Tool usage guide

Learn when to use this tool, what it supports, and how real users apply it.

Key facts

Category
Math & Numbers
Input types
textarea
Output type
html
Sample coverage
4
API ready
Yes

Overview

The Reaction Rate Calculator fits zero-order, first-order, and second-order rate equations to concentration-time data, then reports the reaction order, rate constant k, half-life, and R² goodness-of-fit for each model.

When to use

  • Determine the likely reaction order from experimental concentration-time measurements.
  • Calculate the rate constant and half-life for a zero-, first-, or second-order reaction.
  • Compare linearized kinetic models using their R² values in a chemistry lab.

How it works

  1. 1Enter one time and concentration pair per line in the format time, concentration.
  2. 2The tool fits [A] versus time for zero-order kinetics, ln[A] versus time for first-order kinetics, and 1/[A] versus time for second-order kinetics.
  3. 3It calculates the rate constant k, half-life, and linearization R² for each model.
  4. 4The model with the highest R² is identified as the best fit for the supplied data.

Use cases

  • Analyze concentration decay data from a general-chemistry kinetics experiment.
  • Verify first-order behavior when a reactant concentration halves at regular time intervals.
  • Identify second-order behavior when the reciprocal concentration changes linearly with time.

Examples

1. First-order decay with a 100-second half-life

Chemistry student

Background

A student measures a concentration that halves every 100 seconds.

Problem

They need to determine the reaction order and calculate k and the half-life.

How to use

Enter the time and concentration pairs one per line: 0, 1.000; 100, 0.500; 200, 0.250; 300, 0.125; 400, 0.0625.

Outcome

The calculator identifies first-order kinetics with R² close to 1.0, k approximately 0.00693 s⁻¹, and a half-life of 100 s.

2. Second-order concentration data

Laboratory researcher

Background

A concentration dataset shows a reciprocal concentration that increases approximately linearly over time.

Problem

The researcher wants to distinguish second-order kinetics from zero- and first-order behavior.

How to use

Enter 0, 1.0; 100, 0.5; 200, 0.333; 300, 0.25; 400, 0.2, with one pair on each line.

Outcome

The calculator compares all three rate-law fits and identifies second-order kinetics based on the highest R², while reporting its k and half-life.

FAQ

What data should I enter?

Enter concentration-time pairs, with one pair per line, such as 0, 1.000.

Which reaction orders does the calculator test?

It tests zero-order, first-order, and second-order rate laws.

How is the best reaction order selected?

The calculator selects the model with the highest linearization R².

What results does the tool report?

It reports reaction order, rate constant k, half-life, and R² for the fitted models.

Can I use experimental chemistry data?

Yes. Enter your measured concentration-time points in the required one-pair-per-line format.

Hub

Determine the Rate Law from Kinetic Data

Set the material budget with stoichiometry, earn the reaction orders from initial-rate data, confirm them against the integrated concentration-time fit with its rate constant and half-life, then carry the constant to any temperature by the Arrhenius ratio.

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