The mean free path $$l$$ for a gas molecule depends upon the diameter, $$d$$ of the molecule as:
1. $$l\propto \frac{1}{d^2}$$
2. $$l\propto d$$
3. $$l\propto d^2$$
4. $$l\propto \frac{1}{d}$$

Subtopic: Â Mean Free Path |
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The mean free path for a gas, with molecular diameter $$d$$ and number density $$n,$$ can be expressed as:
1. $$\frac{1}{\sqrt{2} n \pi \mathrm{d}^2}$$
2. $$\frac{1}{\sqrt{2} n^2 \pi \mathrm{d}^2}$$
3. $$\frac{1}{\sqrt{2} n^2 \pi^2 d^2}$$
4. $$\frac{1}{\sqrt{2} n \pi \mathrm{d}}$$

Subtopic: Â Mean Free Path |
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If the mean free path of atoms is doubled , then the pressure of the gas will become:

1. P/4

2. P/2

3. P/8

4. P

Subtopic: Â Mean Free Path |
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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

Subtopic: Â Mean Free Path |
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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

Subtopic: Â Mean Free Path |
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According to the kinetic theory of gases,
 A. the motion of the gas molecules freezes at $$0^\circ \mathrm{C}.$$ B. the mean free path of gas molecules decreases if the density of molecules is increased. C. the mean free path of gas molecules increases if the temperature is increased keeping the pressure constant. D. average kinetic energy per molecule per degree of freedom is $${3 \over 2}\mathrm k_\mathrm{B} \mathrm T$$ (for monoatomic gases).
Choose the most appropriate answer from the options given below:
 1 (A) and (C) only 2 (B) and (C) only 3 (A) and (B) only 4 (C) and (D) only
Subtopic: Â Mean Free Path |
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