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Radioactive Decay Calculator

Calculate the remaining amount of a radioactive substance after a given time using the half-life decay formula.

Remaining Amount

Radioactive decay follows the exponential decay formula using the half-life:

N(t) = N₀ × (1/2)^(t / t½)

Where:

  • N(t) = remaining amount after time t
  • N₀ = initial amount
  • = half-life (time for half the substance to decay)
  • t = elapsed time

Common half-lives:

  • Carbon-14: 5,730 years
  • Uranium-238: 4.5 billion years
  • Iodine-131: 8.02 days
  • Cobalt-60: 5.27 years
  • Radon-222: 3.82 days

After 1 half-life, 50% remains. After 2 half-lives, 25% remains. After 10 half-lives, less than 0.1% remains.


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