For gas at a temperature `T` the root-mean-square speed `v_(rms)`, the most probable speed `v_(mp)`, and the average speed `v_(av)` obey the relationship

Options

A. `V_(av) gt V_(rms) gt V_(mp)`
B. `V_(rms) gt V_(av) gt V_(mp)`
C. `V_(mp) gt V_(av) gt V_(rms)`
D. `V_(mp) gt V_(rms) gt V_(av)`

Answer

B

Explanation

`v_(rms) = sqrt((3RT)/(M_(w))`
`v_(mp) = sqrt((2RT)/(M_(w)))`
`v_(avg) = sqrt((8RT)/(piM_(w)))`
So `v_(rms) gt v_(avg) gt v_(mp)`