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Question: The radioisotope, tritium \((_{1}^{3} ⥂ H)\) has a half-life of 12.3 *years*. If the initial amount ...

The radioisotope, tritium (13H)(_{1}^{3} ⥂ H) has a half-life of 12.3 years. If the initial amount of tritium is 32 mg. How many milligrams of it would remain after 49.2 years

A

8 mg

B

1 mg

C

2 mg

D

4 mg

Answer

2 mg

Explanation

Solution

Nt=No(12)n=32×(12)49.2/12.3=32×(12)4=2N_{t} = N_{o}\left( \frac{1}{2} \right)^{n} = 32 \times \left( \frac{1}{2} \right)^{49.2/12.3} = 32 \times \left( \frac{1}{2} \right)^{4} = 2.