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JEE Main 2023 (13 Apr, Shift 2) · Mean Free Path & Real Gases

Mean Free Path & Real Gases question from JEE Main 2023 (13 Apr, Shift 2)

Q11JEE Main 2023 · 13 APR · SHIFT 2Medium

Mean Free Path & Real Gases

The mean free path of molecules of a certain gas at STP is $1500\text{ d}$ , where $d$ is the diameter of the gas molecules. While maintaining the standard pressure, the mean free path of the molecules at $373\text{ K}$ is approximately:

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Answer: (c)

At constant pressure $\lambda = \dfrac{kT}{\sqrt{2}\,\pi d^2 P} \propto T$ .
$\lambda_2 = 1500\,d \times \dfrac{373}{273} \approx 2049\,d$
So the answer is (c) $2049\,d$ .

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