The unit of length convenient 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 total atomic volume in `m^3` of a mole of hydrogen atoms?

Explanation

Volume of one hydrogen atom `=4//3 pi r^(3)` (volume of sphere)
`=4//3xx3.14xx(0.5xx10^(-10))m^(3)=5.23xx10^(-31) m^(3)`
According to Avagardo's hypothesis, one mole of hydrogen contains `6.023xx10^(23)` atoms.
Atomis volume of 1 mole of hydrogen atoms
`=6.023xx1023xx5.23xx10^(-31)=3.15xx10^(-7) m^(3)`.