Question

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

Answer 1

Radius of hydrogen atom, r = 0.5 = 0.5 × 10^–10 m

Volume of hydrogen atom = (4/3)πr³ 

1 mole of hydrogen contains 6.023 × 10²³ hydrogen atoms.

Volume of 1 mole of hydrogen atoms = 6.023 × 10²³ × 0.5²⁴ × 10^–30 

= 3.16 x 10^-7 m³