Radioactive Decay CalculatorFormule

## Radioactive Decay

Radioactive materials decay at a rate characterized by the half-life.

### Formula

**N = N_0 * (1/2)^(t / t_half)**

where N_0 is the initial amount, t is elapsed time, and t_half is the half-life. After each half-life, exactly half the material remains.

Exemple Résolu

100 g of Carbon-14 (half-life 5730 years) after 11,460 years (2 half-lives).

  1. N = N0 * (1/2)^(t/t_half)
  2. N = 100 * (1/2)^(11460/5730)
  3. N = 100 * (1/2)^2
  4. N = 100 * 0.25 = 25 g
  5. Decayed: 100 - 25 = 75 g