The nucleus of the hydrogen atom has a radius of about 1 x 10−15 m. the electron is normally at a distance of about
5.3 x 10^−11 m from the nucleus.
assuming the hydrogen atom is a sphere with a radius of 5.3 x 10^−11 m.
find: (a) the volume of the atom, (b) the volume of the nucleus , and (c) the percentage of the volume of the atom that is occupied by the nucleus.

(a). The volume of the atom is

(b). The volume of the nucleus is

(c). The percentage of the volume of the atom that is occupied by the nucleus is

Explanation:

Given that,

Radius of nucleus

Radius of atom

(a). We need to calculate the volume of the atom

Using formula of volume of the atom

Where, r = radius of atom

Put the value into the formula

(b). We need to calculate the volume of the nucleus

Using formula of volume of the nucleus

Where, r = radius of atom

Put the value into the formula

(c). We need to calculate the percentage of the volume of the atom that is occupied by the nucleus

Put the value into the formula

Hence, (a). The volume of the atom is

(b). The volume of the nucleus is

(c). The percentage of the volume of the atom that is occupied by the nucleus is