The ratio of molar volume to atomic volume for 1 mole of hydrogen is (Take size of hydrogen molecule to be `1`Ã…)

Options

A. `7.1xx10^(4)`
B. `7.1xx10^(6)`
C. `7.1xx10^(10)`
D. `7.1xx10^(8)`

Answer

A

Explanation

volume occupied by 1 mole of an ideal gas at STP is known as molar volume.
`therefore` Molar volume `=22.4`litre `=22.4xx10^(-3)m^(3)`
Radius of hydrogen atom is `r=0.5`Ã… `=0.5xx10^(-10)m`
`therefore`Atomic volume `=(4)/(3)pir^(3)N_(A)`
`=(4)/(3)xx(22)/(7)xx(0.5xx10^(-10))^(3)xx6.023xx10^(23)`
`=3.15xx10^(-7)m^(3)`
their corresponding ratio is
`("Molar volume")/("Atomic volume")=(22.4xx10^(-3)m^(3))/(3.15xx10^(-7)m^(3))=7.1xx10^(4)`