An atom has a diameter of 2.50 Å and the nucleus of that atom has a diameter of 9.00×10−5 Å . Determine the fraction of the volume of the atom that is taken up by the nucleus. Assume the atom and the nucleus are a sphere.

fraction of atomic volume: ?

Calculate the density of a proton, given that the mass of a proton is 1.0073 amu and the diameter of a proton is 1.72×10−15 m.

density: ? g/cm^3

The fraction of the volume of the atom that is taken up by the nucleus is .

The density of a proton is .

Explanation:

Diameter of the atom ,d = 2.50 Å

Radius of the atom ,r = 0.5 d=0.5 × 2.50 Å = 1.25Å

Volume of the sphere=

Volume of atom = V

..[1]

Diameter of the nucleus ,d' =

Radius of the nucleus ,r' = 0.5 d'=

Volume of nucleus = V'

..[2]

Dividing [2] by [1]

The fraction of the volume of the atom that is taken up by the nucleus is .

Diameter of the proton ,d =

1 m = 100 cm

Radius of the proton,r = 0.5 d=

Volume of the sphere=

Volume of atom = V

Mass of proton, m = 1.0073 amu =

Density of the proton : d

The density of a proton is .