Question

14C has a half-life of 5,370 years. Assume that a sample of organic material contains 4.0 grams of 14C. Three half-lives would be?

Answer 1

The amount of the organic material that would remain after three half-lives has elapsed is 0.5 g

Data obtained from the question

• Half-life (t½) = 5370 years
• Original amount (N₀) = 4 g
• Number of half-lives (n) = 3
• Amount remaining (N) = ?

How to determine the amount remaining

The amount remaining after 3 half-lives has elapsed can be obtained as follow:

N = N₀ / 2ⁿ

N = 4 / 2³

N = 4 / 8

N = 0.5 g

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