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

Answer

( 434 ms )

Explanation

`(u_(avg))/(u_(rm s)) = sqrt((8RT)/(pi M)) : sqrt((3RT)/(M)) = sqrt((8)/(3pi)) rArr u_(rm s) = sqrt((3pi)/(8)) u_(avg) = sqrt((3 xx 3.14)/(8)) xx 400 = 434 ms^(-1)`