How to Calculate Radioactive Decay (N = N0 · e^(-λt))
Calculate nuclear decay kinetics step-by-step:
STEP 01
Enter Initial N0
Input starting quantity N0 in grams, moles, or Becquerels (Bq).
STEP 02
Enter Half-Life t½
Input radioisotope half-life period t½ in years or days.
STEP 03
Enter Elapsed Time t
Input decay elapsed time period t.
STEP 04
Compute Remaining N
Calculate remaining isotope quantity N = N0 × (0.5)^(t / t½).
Key Features & Nuclear Kinetics
First-Order Exponential Engine
Uses exact 1st-order nuclear decay exponential law.
Decay Constant (λ) Output
Calculates disintegration probability constant λ = ln(2) / t½.
Radiocarbon Dating Support
Ideal for Carbon-14 archaeological dating and medical radioisotope decay.
Nuclear Chemistry Guide: Radioactive Decay
Radioactive Decay follows strict first-order kinetics where unstable atomic nuclei spontaneously disintegrate into lighter products:N(t) = N₀ · e^(-λ·t) = N₀ · (1/2)^(t / t½)
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Frequently Asked Questions
?How many half-lives until an isotope is 99% decayed?
After 7 half-lives, remaining activity drops to (1/2)⁷ = 0.78% (99.22% decayed).