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THE FEUTEX TOOLKIT

First-Order Reaction Progress

Calculate concentration, converted fraction and half-life for an ideal first-order process.

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FormulaRemaining concentration = initial*exp(-k*time); Converted fraction = 100*(1-exp(-k*time)); Half-life = LN2/k
Sources and model references

Worked example

Inputs

Initial concentration
100 arbitrary concentration
Rate constant
0.1 s⁻¹
Elapsed time
10 s

Expected results

Remaining concentration
36.78794412 same concentration
Converted fraction
63.21205588 %
Half-life
6.931471806 s

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Calculate concentration, converted fraction and half-life for an ideal first-order process.
  2. Set initial concentration, rate constant, elapsed time in the indicated units.
  3. Calculate and compare remaining concentration, converted fraction, half-life.

Try this example

{
  "initial": 100,
  "k": 0.1,
  "time": 10
}

Accuracy and scope

Idealized educational model. Enter measured values in the displayed units; real systems may require additional corrections.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.