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Question 9

Given below are two statements : Statement (I) : The mean free path of gas molecules is inversely proportional to square of molecular diameter. Statement (II) : Average kinetic energy of gas molecules is directly proportional to absolute temperature of gas. In the light of the above statements, choose the correct answer from the options given below :

Statement I:

Mean free path is

$$λ=\frac{1}{\sqrt{\ 2}n\pi\ d^2}$$

So

$$\lambda\propto\frac{1}{d^2}$$

It is inversely proportional to square of molecular diameter.

So Statement I is true.

Statement II:

Average kinetic energy per molecule is

$$\frac{3}{2}kT$$

So

$$\text{Average KE}\propto T$$

directly proportional to absolute temperature.

So Statement II is also true.

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