Four vessels 1, 2, 3 and 4 contain respectively, 10 g-atom (), 1 g-atom (), 5 g-atom () and 2 g-atom — Nuclear Chemistry and Radioactivity Chemistry Question
Question
Four vessels 1, 2, 3 and 4 contain respectively, 10 g-atom ($t_{1/2} = 10 \text{ h}$), 1 g-atom ($t_{1/2} = 5 \text{ h}$), 5 g-atom ($t_{1/2} = 2 \text{ h}$) and 2 g-atom ($t_{1/2} = 1 \text{ h}$) of different radioactive nuclides. In the beginning, the maximum radioactivity would be exhibited by the vessel
Answer: B
💡 Solution & Explanation
Activity $A \propto \frac{\text{moles}}{t_{1/2}}$. For vessel 1: $10/10 = 1$. For vessel 2: $1/5 = 0.2$. For vessel 3: $5/2 = 2.5$. For vessel 4: $2/1 = 2$. Vessel 3 has the highest ratio and thus the maximum radioactivity. Therefore, correct answer is B.
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