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Cs-131 nuclide has a half-life of 30 years. After 120 years, 3.0 g remain. What is the original mass of the Cs-131 sample in grams

Respuesta :

The original mass of the Cs–131 sample in grams, given the data from the question is 48 g

How to determine the number of half-lives that has elapsed

  • Half-life (t½) = 30 years
  • Time (t) = 120 years
  • Number of half-lives (n) = ?

n = t / t½

n = 120 / 30

n = 4

How to determine the original mass

  • Amount remaining (N) = 3 g
  • Number of half-lives (n) = 4
  • Original amount (N₀) = ?

N₀ = N × 2ⁿ

N₀ = 3 × 2⁴

N₀ = 3 × 16

N₀ = 48 g

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