Table of Contents

- 1 What is the order of mean free path in gases?
- 2 On what factors do the mean free path of a gas molecule depends?
- 3 Why mean free path is important?
- 4 Why mean free path increases with increase in temperature?
- 5 Which action will decrease the mean free path of a particle?
- 6 What is the mean free path of a gas molecule?
- 7 What is the relationship between pressure and temperature of a gas?

## What is the order of mean free path in gases?

The mean free path λ of a gas molecule is its average path length between collisions. Mathematically the mean free path can be represented as follows: λ=1√2πd2NV.

**How does the mean free path of a gas depend on its temperature?**

(a) The mean free path is independent of temperature at constant volume. As the temperature is increased the molecules are moving faster, but the average distance between them is not affected. The mean time between collisions decreases, but the mean distance traveled between collisions remains the same.

### On what factors do the mean free path of a gas molecule depends?

The mean free path equation depends upon the temperature and pressure as well as the molecular diameter.

**What is the mean free path of a gas molecule and how does it affect the rate of gas diffusion through a given space?**

The average distance traveled by a molecule between collisions is the mean free path. The denser the gas, the shorter the mean free path; conversely, as density decreases, the mean free path becomes longer because collisions occur less frequently.

## Why mean free path is important?

1.2. The mean free path is the average distance that a particle can travel between two successive collisions with other particles. From Formula 1-11 it can be seen that the mean free path displays linear proportionality to the temperature and inverse proportionality to the pressure and molecular diameter.

**What is mean free path in kinetic theory of gases?**

In the kinetic theory of gases, the mean free path of a particle, such as a molecule, is the average distance the particle travels between collisions with other moving particles.

### Why mean free path increases with increase in temperature?

Application of temperature will increase the space between molecules by decreasing the density hence the free main path will increase while application of pressure will decrease the space between molecules thereby increasing the density and again affecting the path.

**How does mean free path varies when pressure is reduced?**

As gas pressure increases mean free path of the gas decreases. Mean free path is the distance traveled by a gas molecule between two successive collisions. So, as pressure increases number of collisions increase. Hence, mean free path decreases.

## Which action will decrease the mean free path of a particle?

Density: As gas density increases, the molecules become closer to each other. Therefore, they are more likely to run into each other, so the mean free path decreases. Increasing the number of molecules or decreasing the volume causes density to increase. This decreases the mean free path.

**How is mean free path calculated?**

The mean free path is the distance that a molecule travels between collisions. The mean free path is determined by the criterion that there is one molecule within the “collision tube” that is swept out by a molecular trajectory. The criterion is: λ (N/V) π r2 ≈ 1, where r is the radius of a molecule.

### What is the mean free path of a gas molecule?

The mean free path λ of a gas molecule is its average path length between collisions. Mathematically the mean free path can be represented as follows: \\(λ = \\frac {1}{\\sqrt{2} \\pi d^2 \\frac NV} \\)

**What is the average translational kinetic energy of a gas?**

The calculation shows that for a given temperature, all gas molecules – no matter what their mass – have the same average translational kinetic energy, namely (3/2)kT. When we measure the temperature of a gas, we are measuring the average translational kinetic energy of its molecules. 18.5. Mean Free Path

## What is the relationship between pressure and temperature of a gas?

It is however clear that the pressure exerted by a gas is related to the linear momentum of the atoms and molecules, and that the temperature of the gas is related to the kinetic energy of the atoms and molecules.

**How do you calculate the internal energy of a monatomic gas?**

Assume for the moment that we are dealing with a monatomic gas. In this case, the average translational kinetic energy of each gas molecule is simply equal to 3kT/2. If the sample contains n moles of such a gas, it contains nNA molecules. The total internal energy of the gas is equal to.