If the radius of an atom is of the order of and the radius of its nucleus is of the order of , what β Atomic Structure Chemistry Question
Question
If the radius of an atom is of the order of $10^{-8} \text{ cm}$ and the radius of its nucleus is of the order of $10^{-13} \text{ cm}$, what is the approximate fraction of the total atomic volume occupied by the nucleus?
Answer: C
π‘ Solution & Explanation
Assuming spherical geometry, volume $V = \frac{4}{3}\pi R^3$. The ratio $V_{nucleus} / V_{atom} = (R_{nucleus} / R_{atom})^3 = (10^{-13} / 10^{-8})^3 = (10^{-5})^3 = 10^{-15}$. [45-47]
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