Half-Life Calculator

Estimate remaining quantity after exponential decay.

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What is this calculator?

Estimate remaining quantity after exponential decay.

What can you use it for?

Use it when solving an exercise, checking a result, or working with the particular quantities shown in this form. Estimate remaining quantity after exponential decay.

How to use it

  1. Enter initial quantity.
  2. Enter half-life.
  3. Enter elapsed time.
  4. Select Calculate (or Generate for random tools).
  5. Read the answer and any additional results below the form. Check the units and the limits of the method.

Formula and method

Result = initial quantity × 0.5^(elapsed time/half-life)

The formula uses the units and definitions shown above. Each input is substituted before the arithmetic is evaluated; the calculated output is rounded for display.

Worked example

Initial quantity: 100, Half-life: 10, Elapsed time: 30. The result is 12.5 (result).

Assumptions and limits

Half-life and elapsed time must use the same unit.

Frequently asked questions

What inputs does the Half-Life Calculator need?

Use initial quantity, half-life, elapsed time. Read the answer and any additional results below the form. Check the units and the limits of the method.

What assumptions apply to the Half-Life Calculator?

Half-life and elapsed time must use the same unit.

A little help with the numbers

Smart input · AI explanations when connected