Tritium () undergoes radioactive decay with a standard half-life period of . What is its disintegrat — Chemical Kinetics Chemistry Question
Question
Tritium (${}^{3}H$) undergoes radioactive decay with a standard half-life period of $12.3 \text{ years}$. What is its disintegration constant $k$ in $\text{year}^{-1}$? Express your final answer as $X \times 10^{-2}$ and provide the value of $X$. (Use $\ln 2 \approx 0.693$)
Answer: 5.63
💡 Solution & Explanation
Radioactive decay obeys first-order kinetics. The disintegration constant $k = 0.693 / t_{1/2} = 0.693 / 12.3 = 0.05634 \text{ year}^{-1}$. Expressed in $10^{-2}$ format, this is $5.63 \times 10^{-2} \text{ year}^{-1}$. Thus, $X = 5.63$.
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