has a half-life of 22 years with respect to radioactive decay. The decay follows two parallel paths, — Nuclear Chemistry and Radioactivity Chemistry Question
Question
$\text{Ac}^{227}$ has a half-life of 22 years with respect to radioactive decay. The decay follows two parallel paths, one leading the $\text{Th}^{227}$ and the other leading to $\text{Fr}^{223}$. The percentage yields of these two daughter nuclides are 2 % and 98 %, respectively. The only incorrect information related with the decay is
Answer: D
💡 Solution & Explanation
The overall decay constant $\lambda_{total} = 0.693/22 \approx 0.0315 \text{ yr}^{-1}$. The fractional decay constants match options B and C. The *mole* ratio of products is 2:98 (1:49), but the *mass* ratio will be $(1 \times 227) : (49 \times 223)$, which is not 1:49. Therefore, correct answer is D.
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