Question

What is the Root mean square velocity and average velocity?

Answer 1

Solution:-

• Root mean square velocity $\to$ The square root of the mean of squares of the velocity of individual gas molecules.

${\mu }_{\text{R.M.S.}}=\sqrt{\frac{3RT}{M}}$

Whereas,

$R$ is the gas constant.

$T$ is the temperature (in K).

$M$ is the molar mass of the gas.

• Average velocity $\to$ The arithmetic mean of the velocities of different molecules of a gas at a given temperature.

${\mu }_{\text{av.}}=\sqrt{\frac{8RT}{\pi M}}$

Whereas,

$R$ is the gas constant.

$T$ is the temperature (in K).

$M$ is the molar mass of the gas.