Mean Free Path

On any planet, the presence of atmosphere implies ($C_{rms}=$ root mean square velocity of molecules and $V_e=$ escape velocity)

At a given temperature if ${\mathrm{V}}_{\mathrm{rms}}$ is the root mean square velocity of the molecules of a gas and vsvs is the velocity of sound in it. Then these are related as $(\mathrm{\gamma }={\mathrm{C}}_{\mathrm{p}}/{\mathrm{C}}_{\mathrm{v}})$

 The rms speed of gas molecules is given by

 A car is moving with an initial velocity of 30 m/s and it touches its destiny at 80 m/s. Calculate its average velocity. 

What is the formula for average velocity?

How do you find average velocity from two points?

Find the modulus of the mean velocity vector averaged over the first$\mathrm{t} \sec$  of motion.

The root mean square velocity,${\mathrm{v}}_{\mathrm{rms}}$, the average velocity ${\mathrm{v}}_{\mathrm{av}}$ and the most probable velocity, ${\mathrm{v}}_{\mathrm{mp}}$ of the molecules of the gas are in the order.

For a molecule of an ideal gas, the number density is $2\sqrt{2}\times {10}^8 {\mathrm{cm}}^{-3}$ and the mean free path is $\frac{{10}^{-2}}{\pi } \mathrm{cm}$. The diameter of the gas molecule is

Find $\mathrm{r}.\mathrm{m}.\mathrm{s}.$ velocity of three molecules having velocities $10\mathrm{km}/\mathrm{s}, 20\mathrm{km}/\mathrm{s}, 30\mathrm{km}/\mathrm{s}.$, $$

Define the following 

Root mean square velocity for the gas molecules.

Define the following 

Mean square velocity

Define the following 

Mean velocity 

Define the following 

Mean free path

Define the following

Free path

In the following a statement of Assertion is followed by a statement of Reason.

Assertion: Mean free path of a gas molecule is inversely proportional to the density of gas.

Reason: Path of a gas molecule between two adjacent collision is straight line.

Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average time of collision between molecules increases as $V^q$ , where $V$ is the volume of the gas. The value of $q$ is $\left(\mathrm{\gamma }=\frac{{\mathrm{C}}_{\mathrm{P}}}{{\mathrm{C}}_{\mathrm{v}}}\right)$

Which of the following is/are correct regarding mean free path ?

Which of the following is/are correct regarding mean free path ?

Air becomes conducting when the pressure ranges between