How to Use These Calculators

The first calculator finds the Half-Life based on decay over time.
The second calculator finds the remaining quantity based on known Half-Life.

Purpose

These tools help analyze radioactive decay data, useful in nuclear chemistry, radiophysics, environmental science, and biology.

Formulas

Half-Life Finder:
t½ = t × log(2) / log(N₀ / N)

Decay Calculator:
N = N₀ × (1/2)^(t / t½)

Example

Finder: N₀ = 100, N = 25, time = 6 hours → Half-Life ≈ 3 hours

Calculator: N₀ = 100, t½ = 3 hours, time = 6 hours → N ≈ 25

References

• LibreTexts Chemistry