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?

Question

Philoid · Accepted Answer

Given

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

Volume of hydrogen atom, V = (4/3)πr³

⇒

⇒ V = 5.24 × 10^-31 m³

One mole of hydrogen atom contains N_A = 6.023 × 10²³ atoms.

Where, N_A is Avogadro’s number.

So, Volume of one mole of hydrogen atom,

V_t = 6.023 × 10²³ × 5.24 × 10^-31 m³

⇒ V_t = 3.16 × 10^-7 m³

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?

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?