Half-Life Calculator — Exponential Decay, Carbon Dating & Drug
Calculate radioactive decay, carbon dating, and drug elimination using the exponential decay formula. Free, instant, and accurate.
Half-Life Calculator — Exponential
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Enter Values
Initial Quantity (N₀)
100
Remaining Quantity (Nₜ)
25
Half-Life (t₁₂⁄₂)
5
Time Elapsed (t)
10
Half-Lives Elapsed
2
Percentage Remaining
25%
Scenario Comparison
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Radioactive Decay Formula
N(t) = N₀ · (½)t / t1/2
Formula Application
N(t) = N₀ × (½)^(t / t₁₂⁄₂)
N(t) = 100 × (½)^(10 / 5)
N(t) = 100 × (½)^(2)
N(t) = 100 × 0.25
N(t) = 25
N₀
100
N(t)
25
t₁₂⁄₂
5
t
10
Half-Lives Elapsed
2
Percentage Remaining
25%
| Half-Life # | Time | Remaining Amount |
|---|---|---|
| 0 | 0 | 100 |
| 1 | 5 | 50 |
| 2 | 10(t elapsed) | 25 |
| 3 | 15 | 12.5 |
| 4 | 20 | 6.25 |
| 5 | 25 | 3.125 |
| 6 | 30 | 1.5625 |
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