Tritium has a half-life of 12.26 years. A 5.0 ml sample of triturated water has an activity of . How — Nuclear Chemistry and Radioactivity Chemistry Question
Question
Tritium has a half-life of 12.26 years. A 5.0 ml sample of triturated water has an activity of $2.4 \times 10^9 \text{ cpm}$. How many years will it take for the activity to fall to $3.0 \times 10^8 \text{ cpm}$?
Answer: C
💡 Solution & Explanation
The activity ratio is $\frac{3.0 \times 10^8}{2.4 \times 10^9} = \frac{1}{8}$. Since $1/8 = (1/2)^3$, the decay spans 3 half-lives. Time taken = $3 \times 12.26 \text{ years} = 36.78 \text{ years}$. Therefore, correct answer is C.
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