Question

The half-life of a radioactive kind of strontium is 10 hours. How much will be left after 40 hours, if you start with 80 grams of it?

Answer 1

The amount of strontium that will remain after 40 hours is 5 g

How to determine the number of half-lives

• Half-life (t½) = 10 hours
• Time (t) = 40 hours
• Number of half-lives (n) =?

n = t / t½

n = 40 / 10

n = 4

How to determine the amount remaining

• Original amount (N₀) = 80 g
• Number of half-lives (n) = 4

• Amount remaining (N) =?

N = N₀ / 2ⁿ

N = 80 / 2⁴

N = 80 / 16

N = 5 g

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