The mean free path \(l\) for a gas molecule depends upon the diameter, \(d\) of the molecule as:
| 1. | \(l\propto \dfrac{1}{d^2}\) | 2. | \(l\propto d\) |
| 3. | \(l\propto d^2 \) | 4. | \(l\propto \dfrac{1}{d}\) |
The mean free path for a gas, with molecular diameter \(d\) and number density \(n,\) can be expressed as:
| 1. | \( \dfrac{1}{\sqrt{2} n \pi {d}^2} \) | 2. | \( \dfrac{1}{\sqrt{2} n^2 \pi {d}^2} \) |
| 3. | \(\dfrac{1}{\sqrt{2} n^2 \pi^2 d^2} \) | 4. | \( \dfrac{1}{\sqrt{2} n \pi {d}}\) |
If the mean free path of atoms is doubled, then the pressure of the gas will become:
1. \(\frac{P}{4}\)
2. \(\frac{P}{2}\)
3. \(\frac{P}{8}\)
4. \(P\)
If the pressure in a closed vessel is reduced by drawing out some gas, the mean free path of the molecules:
| 1. | decreases |
| 2. | increases |
| 3. | remains unchanged |
| 4. | increases or decreases according to the nature of the gas |
When the gas in an open container is heated, the mean free path:
1. Increases
2. Decreases
3. Remains the same
4. Any of the above depending on the molar mass