Toolzy

Half-Life Calculator

Calculate remaining quantity, elapsed time, or half-life for radioactive decay problems.

Remaining quantity

25 units

N(t) = N0 × (1/2)^(t / half-life)

Enter the initial quantity, half-life, and elapsed time to find the remaining amount of a decaying substance — or solve for the elapsed time or the half-life itself. Uses the exponential decay formula and runs entirely in your browser.

How to use

  1. Select what you want to solve for: remaining quantity, time, or half-life.
  2. Fill in the known values.
  3. Read the calculated result and decay formula below.

Frequently asked questions

What is the decay formula used?
N(t) = N0 × (1/2)^(t / T), where N0 is the initial quantity, t is elapsed time, and T is the half-life.
Can I use any time unit?
Yes, as long as elapsed time and half-life use the same unit (e.g. both in years or both in days).
What if remaining quantity exceeds the initial quantity?
That's not physically possible for decay, so the tool won't return a result — check your inputs.

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