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The radioactive isotope Tritium () has a half-life of 12.3 years. If the initial amount of tritium iChemical Kinetics Chemistry Question

Question

The radioactive isotope Tritium (${}^3H$) has a half-life of 12.3 years. If the initial amount of tritium in a sample is $32 \text{ mg}$, how many milligrams will remain unreacted after $49.2 \text{ years}$?

Answer: B

💡 Solution & Explanation

Number of half-lives $n = \text{Total time} / t_{1/2} = 49.2 / 12.3 = 4$. The amount of radioactive substance left after $n$ half-lives is $N_0 / 2^n$. Remaining amount = $32 / 2^4 = 32 / 16 = 2 \text{ mg}$.

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