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Hizgal13
Answered



There is a 50 g sample of Ra-229. It has a half-life of 4 minutes.

How much will be left after 12 minutes?

Verified Answer :

Via half-life equation we have:


\(A_{final}=A_{initial}(\frac{1}{2})^{\frac{t}{h} }\)


Where the initial amount is 50 grams, half-life is 4 minutes, and time elapsed is 12 minutes.  By plugging those values in we get:

\(A_{final}=50(\frac{1}{2})^\frac{12}{4}=50(\frac{1}{2})^{3}=50(\frac{1}{8})=6.25g\)


There is 6.25 grams left of Ra-229 after 12 minutes.