The deviations from ideal gas behaviour `PV =RT` were successfully explained by van der Waals he pointed out that it is not advisable to neglect the volume of molecules and attractions between themselves at all the conditions He proposed volume correction and pressure correction as `(V -b) and ( P+(a)/(V^(2)))` for 1 mole of gas in ideal gas equation .
The volume occupied by molecules in motion for one mole of gas at `NTP` if molecules are spherical having radius `10^(-8) cm` is .

Options

A. `2.52cm^(3)`
B. `10.09 cm^(3)`
C. `2.52cm^(3)`
D. `10.09 cm^(3)`

Explanation

Volume of one molecule in motion
`4 xx v_(rest) =4 xx (4)/(3) pi r^(3)`
`= 4 xx (4)/(3 xx 3.14 xx (10^(-8)) = 16.74 xx 10^(-24)`
Volume of one mole
`= 16.74 xx 10^(-24) xx 6.023 xx 10^(23) = 10.09 cm^(3)` .