At a constant temperature and at 1 atm pressure, the density of `O_(2)` gas is 0.0081 `g*moL^(-1)`. At the same temperature, calculate average velocity, root mean square velocity and most probable velocity of `O_(2)` molecules.

Explanation

`c_(rms)=sqrt((3P)/(d))=sqrt((3xx76xx13.6xx981)/(0.0081))=1.937xx10^(4)cm//s`
`c_(a)=sqrt((8)/(3pi))" "c_(rms)=sqrt((8)/(3pi))xx1.937xx10^(4)cm//s`
`=1.785xx10^(4)cm//s`
`c_(m)=sqrt((2RT)/(M))=sqrt((2)/(3))xxsqrt((3RT)/(M))=sqrt((2)/(3))xxc_(rms)`
`=sqrt((2)/(3))xx1.937xx10^(4)cm//s=1.581xx10^(4)cm//s`