The average velocity of gas molecules is `400 m s^(-1)`. Calculate their `rms` velocity at the same temperature.

Options

A. 434.1 `ms^(–1)`
B. 368.5 `ms^(–1)`
C. 489.9 `ms^(–1)`
D. None of these

Answer

A

Explanation

`{:(C_(avg) = sqrt((8RT)/(pi M_(O)))),(C_(rm s) = sqrt((3RT)/(M_(O)))):}} rArr (400)/(C_(rm s)) = sqrt((8)/(3pi)) rArr C_(rm s) = 400 xx sqrt((3 pi )/(8)) = 434.16 ms^(-1)`