Nuclear Chemistry and RadioactivityhardMCQ SINGLE

The half-life of Cobalt-60 is (decay constant ). The decay activity of a sample of Cobalt-60 is apprNuclear Chemistry and Radioactivity Chemistry Question

Question

The half-life of Cobalt-60 is $5.27\text{ years}$ (decay constant $\lambda = 2.5 \times 10^{-7}\text{ min}^{-1}$). The decay activity of a $2\text{ g}$ sample of Cobalt-60 is approximately:

Answer: A

💡 Solution & Explanation

Activity $A = \lambda N$, where $N$ is the total number of atoms. Number of moles = $\frac{2}{60} = \frac{1}{30}$. Total atoms $N = \frac{1}{30} \times 6.023 \times 10^{23} \approx 2 \times 10^{22}$ atoms. Activity $A = (2.5 \times 10^{-7}\text{ min}^{-1}) \times (2 \times 10^{22}\text{ atoms}) = 5 \times 10^{15}\text{ disintegrations per minute (dpm)}$.

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