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If the half-life of hydrogen-1 is 12 years, how much is left over of an original sample of 40g after 36 years?

Respuesta :

Eduard22sly

The amount remaining after 36 years is 5 g

How to determine the number of half-lives

  • Half-life (t½) = 12 years
  • Time (t) = 36 years
  • Number of half-lives (n) =?

n = t / t½

n = 36 / 12

n = 3

How to determine the amount remaining

  • Original amount (N₀) = 40 g
  • Number of half-lives (n) = 3
  • Amount remaining (N) = ?

N = N₀ / 2ⁿ

N = 40 / 2³

N = 40 / 8

N = 5 g

Therefore, the amount remaining after 36 years is 5 g

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