Question

The average velocity of gas molecules is 400 m/sec.calculate its rms velocity at the same temperature?

Answer 1

# Average (Mean) velocity: as denoted by the name it is the average of the velocity of all the molecules present within the gas. It is denoted by the letter v.

u1+ u2+ u3---------un
v=-----------------------------------
n
where u1, u2, u3are the velocities of the gas molecules.

n is the number of molecules in the gas.

A relationship exists between the RMS velocity and the average velocity. It is given as

Average velocity (v) = 0.9213 x RMS velocity.

From the question Rms velocity = Average velocity/0.9213
= 400/0.9213
= 434.2 m/s