Relationship between different types of speeds.

Explanation

Most probable speed `(u_(mp))=sqrt((2RT)/(M))`
Average speed, `(u_(av))=sqrt((8RT)/(pi M))`
Root mean square speed, `(u_(rms))=sqrt((3RT)/(M))`
Relation between three speeds are as under.
`u_(rms)gt u_(av)gt u_(mp)`

ratio between three speeds are as under,
`{:(,u_(mp),:,u_(av),:,u_(rms)),(,1,,1.128,,1.224),("OR",0.82,,0.92,,1.00):} " "` ......(Eq. -i)
`u_(rms)=sqrt((3RT)/(M))=sqrt((3pV)/(M)) = sqrt((3p)/(d)) " "` .....(Eq. -ii)
`u_(av)=0.92133xx u_(rms)`
`u_(mp)=0.816xx u_(rms)`