The ratio of root mean square velocity of average velocity of a gas molecule at a particular temperture is

Options

A. `1.086 : 2`
B. `1 : 1.086`
C. `2 : 1.086`
D. `1.086 : 1`

Answer

D

Explanation

According to the kinetic molecular theory of gases , we have
`u_(rms) : u_(aV) = sqrt((3RT)/(M)) : sqrt((8RT)/(pi M))`
`= sqrt(3) : sqrt((8)/(pi))`
` = sqrt(3) : sqrt(2.54)`
`= 1.732 : 1.595`
` = (1.732)/(1.595) : (1.595)/(1.595)`
` = 1.086 : 1`