Half-Life Calculator
A half-life calculator computes radioactive decay, drug elimination, or any exponential decay process. The half-life is the time for a quantity to reduce to half its starting value.
- 1N(t) = N₀ × (½)^(t/t½)
- 2After n half-lives: N = N₀ / 2ⁿ
- 3Decay constant λ = ln(2) / t½ ≈ 0.693 / t½
- 4Mean lifetime τ = 1/λ = t½ / ln(2)
Drug t½=6h, initial 100mg, after 24h=24/6 = 4 half-lives; N = 100/2⁴ = 6.25 mg remaining
| Substance | Half-life | Application |
|---|---|---|
| Carbon-14 | 5,730 years | Archaeological dating |
| Caffeine | 5–6 hours | Drug metabolism |
| Ibuprofen | ~2 hours | Drug elimination |
| Tc-99m | 6 hours | Medical imaging |
| Uranium-235 | 703 million years | Geological dating |
References
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