Respuesta :
Answer:
(a). The volume of the atom is [tex]6.23\times10^{-31}\ m^3[/tex]
(b). The volume of the nucleus is [tex]4.18\times10^{-45}\ m^3[/tex]
(c). The percentage of the volume of the atom that is occupied by the nucleus is [tex]6.70\times10^{-13}[/tex]
Explanation:
Given that,
Radius of nucleus [tex]r_{n}=1\times10^{-15}\ m[/tex]
Radius of atom [tex]r=5.3\times10^{-11}\ m[/tex]
(a). We need to calculate the volume of the atom
Using formula of volume of the atom
[tex]V=\dfrac{4\pi\times r^3}{3}[/tex]
Where, r = radius of atom
Put the value into the formula
[tex]V=\dfrac{4\pi\times(5.3\times10^{-11})^3}{3}[/tex]
[tex]V=6.23\times10^{-31}\ m^3[/tex]
(b). We need to calculate the volume of the nucleus
Using formula of volume of the nucleus
[tex]V'=\dfrac{4\pi\times r^3}{3}[/tex]
Where, r = radius of atom
Put the value into the formula
[tex]V'=\dfrac{4\pi\times(1\times10^{-15})^3}{3}[/tex]
[tex]V'=4.18\times10^{-45}\ m^3[/tex]
(c). We need to calculate the percentage of the volume of the atom that is occupied by the nucleus
[tex]percentage=\dfrac{V'}{V}\times100[/tex]
Put the value into the formula
[tex]percentage=\dfrac{4.18\times10^{-45}}{6.23\times10^{-31}}\times100[/tex]
[tex]percentage=6.70\times10^{-13}[/tex]
Hence, (a). The volume of the atom is [tex]6.23\times10^{-31}\ m^3[/tex]
(b). The volume of the nucleus is [tex]4.18\times10^{-45}\ m^3[/tex]
(c). The percentage of the volume of the atom that is occupied by the nucleus is [tex]6.70\times10^{-13}[/tex]
