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If the half-life of a radioactive substance is 500 million years and you have
192 atoms of it, how many half-lives will have passed by the time that only 3
atoms of the substance remain?
A. 4
B. 5
C. 6
D. 2.

Respuesta :

Eduard22sly

The number of half-lives that has elapsed when 3 atoms of the radioactive substance remains is 6 (Option C)

Data obtained from the question

  • Half-life (t½) = 500 million years
  • Original amount (N₀) = 192 atoms
  • Amount remaining (N) = 3 atoms
  • Number of half-lives (n) =?

How to determine the number of half-lives

2ⁿ = N₀ / N

2ⁿ = 192 / 3

2ⁿ = 64

2ⁿ = 2⁶

n = 6

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