What do you mean by most probable velocity root mean square velocity and average velocity How are they related to each other?

Answer:

Root mean square velocity (RMS value)is the square root of the mean of squares of the velocity of individual gas molecules.

\(\begin{array}{l}v_{rms}= \sqrt{\frac{3RT}{M}}\end{array} \)

Where

vrms= Root-mean-square velocity

M = Molar mass of the gas (Kg/mole)

R= Molar gas constant

T = Temperature in Kelvin.

Average velocity is the arithmetic mean of the velocities of different molecules of a gas at a given temperature.

\(\begin{array}{l}v_{av}= \sqrt{\frac{8RT}{\pi M}}\end{array} \)

Where

R = Gas constant

T = Temperature (in K)

M = Molar mass of the gas

Refer more