The unit of length convenient on the atomic scale is known as an angstrom and is denoted by `A^(@):1A^(@)=10^(-10)m`. The size of a hydrogen atom is about `0.5A^(@)`. What is the total atomic volume in `m^(3)` of a mole of hydrogen atoms ?

Explanation

Here `r=0.5A^(@)=0.5 times 10^(-10)m`
Volume of each atom of hydrogen `=4/3pir^(3)`
`=4/3 times 3.14(0.5 times 10^(-10))^(3)=5.236 times 10^(-31)m^(3)`
Number of hydrogen atoms in one gram mole of hydrogen = Avagadro.s number
`" "=6.023 times 10^(23)`
`therefore` Atomic volume of one gram mole of hydrogen atom
`" "=5.236 times 10^(-31) times 6.023 times 10^(23)`
`" "=3.154 times 10^(-7)m^(3)`