Radioactive Decay Calculator
Calculate remaining radioactive material using N = N0 * (1/2)^(t/t_half).
Remaining Amount
25.0000 g
Remaining Amount vs Time Elapsed
Formule
## 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).
- 01N = N0 * (1/2)^(t/t_half)
- 02N = 100 * (1/2)^(11460/5730)
- 03N = 100 * (1/2)^2
- 04N = 100 * 0.25 = 25 g
- 05Decayed: 100 - 25 = 75 g
Questions Fréquentes
What is a half-life?
The time required for exactly half of a radioactive sample to decay. After one half-life, 50% remains; after two, 25%; after three, 12.5%, and so on.
How is carbon dating done?
Living organisms absorb Carbon-14. After death, the C-14 decays (t_half = 5730 years). Measuring the remaining fraction reveals the age.
Can half-life be changed?
No. Radioactive decay is a nuclear process unaffected by temperature, pressure, chemical state, or any external conditions.
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