Question

The unit of length convenient on the atomic scale is known as an angstrom and is denoted by Å : 1 Å = 10^-10 m. The size of a hydrogen atom is about 0.5 Å. what is the total atomic volume in m³ of a mole of hydrogen atoms?

Answer 1

Volume of one hydrogen atom = 4/3πr³

= 4/3 x 3.14 x (0.5 x 10^-10)m³

= 5.23 x 10^-31 m³.

According to Avogadro's hypothesis, one mole of hydrogen contains 6.023 x 10²³ atoms.

Atomic volume of 1 mole of hydrogen atom

= 6.023 x 10²³ x 5.23 x 10^-31

= 3.15 x 10^-7 m³.