What fraction of the space is occupied by the atoms themselves? ?

Question

A sample of gaseous neon atoms at atmospheric pressure and 0 degree Celsius contains 2.69*times10^22 atoms per liter. The atomic radius of neon is 69 pm. = ?%

Answer 1

69 pm = 6.9 x 10^-10 dm

volume atom = 4 x 3.14 ( 6.9 x 10^-10^3) / 3 = 1.38 x 10^-27 dm^3

Volume of atoms = 2.69 x 10^22 x 1.38 x 10^-27 =3.70 x 10^-5 dm^3

1 L = 1 dm^3

3.70 x 10^-5/ 1 = 3.70 x 10^-5