Answer:
[tex]1.1606\times 10^{-12} \%[/tex] is the percentage of the volume of the atom is occupied by the nucleus.
Explanation:
Radius of the nucleus of the hydrogen atom,[tex]r_n=1.2\times 10^{-15} m[/tex]
Radius of the hydrogen atom = [tex]r=5.3\times 10^{-11} m[/tex]
Volume of hydrogen atom ,V= [tex]\frac{4}{3}\pi r^3[/tex]
[tex]V=\frac{4}{3}\pi r^3[/tex]
Volume of nucleus of hydrogen atom , [tex]V_n=\frac{4}{3}\pi r_{n}^3[/tex]
[tex]V_n=\frac{4}{3}\pi r_{n}^3[/tex]
Percentage of the volume of the atom is occupied by the nucleus:
[tex]\frac{V_n}{V}\times 100[/tex]
[tex]\frac{\frac{4}{3}\pi r_{n}^3}{\frac{4}{3}\pi r^3}\times 100[/tex]
[tex]=1.1606\times 10^{-12} \%[/tex]
[tex]1.1606\times 10^{-12} \%[/tex] is the percentage of the volume of the atom is occupied by the nucleus.
