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The half-life of plutonium-238 is 87.7 years.

What percentage of the atoms in a sample of plutonium-238 will remain radioactive after 263.1 years?

%

What percentage of the atoms in the same sample of plutonium-238 will have changed to a stable isotope after 263.1 years?

%

Answer :

samiatariq600

Answer:

12.5% percentage of the atoms in a sample of plutonium-238 will remain radioactive after 263.1 yr

87.5%

Eduard22sly

1. The percentage of atoms that will remain radioactive is 12.5%

2. The percentage of atoms that would have changed to a stable isotope is 87.5%

How to determine the number of half-lives

  • Half-life (t½) = 87.7 years
  • Time (t) = 263.1 years
  • Number of half-lives (n) =?

n= t / t½

n = 263.1 / 87.7

n = 3

1. How to determine the amount remaining

  • Original amount (N₀) = 100%
  • Number of half-lives (n) = 3
  • Amount remaining (N) =?

N = N₀ / 2ⁿ

N = 100 / 2³

N = 100 / 8

N = 12.5%

2. How to determine the amount stabled

  • Original amount = 100%
  • Amount remaining = 12.5%
  • Amount stabled =?

Amount stabled = 100 – 12.5

Amount stabled = 87.5%

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