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The single proton that forms the nucleus of the hydrogen atom has a radius of approximately 1.0×10−13cm. The hydrogen atom itself has a radius of approximately 52.9 pm
What fraction of the space within the atom is occupied by the nucleus?

Respuesta :

The space occupied by atom and nucleus would be depend on the ratio of volume of each nucleus and atom.

We known that,

[tex]Volume of sphere = \frac{4}{3}*\pi r^{3}[/tex]

Given,

[tex]Radius of nucleus(r_{n}) = 10^{-13} cm[/tex]

[tex]Radius of atom(r_{a}) = 52.9 pm = 52.9*10^{-10} cm[/tex]

Thus,

[tex]Fraction of the space = \frac{(10^{-13})^3 }{(52.9*10^{-10})^3 } = 6.8*10^{-15}[/tex]


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