The unit of length convenint on the atomic scales 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 totall atomic volume in `m^3` of a mole of hydrogen atoms?

Explanation

Volume of 1 atom of hydrogen `=4"/"3pi r^(3)= 4"/"3xx3.14xx(0.5xx10^(-10))^(3)`
As one mole of hydrogen has `6.02xx10^(23)` atoms
Total atomic volume `=6.02xx10^(23)xx4"/"3xx3.14xx0.125xx10^(-30)`
Atomic volume `=3.151xx10^(-7)m^(3) cong 3xx10^(-7)m^(3)`.