Theaverage velocity ofgas molecules is 400 m//sec. Calculate its rms velocity at the same temperature .

Theaverage velocity ofgas molecules is 400 m//sec. Calculate its rms v

1.	Theaverage velocity ofgas molecules is 400 m//sec. Calculate its rms velocity at the same temperature .
Answer» Solution :Average SPEED , `v=sqrt((8 RT)/(pi M))` Root mean square speed, `u=sqrt((3 RT)/(M))` `:. (u)/(v)=sqrt((3 RT)/(M)XX(PIM)/(8 RT))=sqrt((3pi)/(8))=sqrt((3xx3.143)/(8))=1.085` `:. u=1.085xxv=1.085xx400 m s^(-1)=434 m s^(-1)`ordirectly, v=0.921 u, i.e., `u=1.085xxv`