Given below are two statements: Statement (I): The mean free path of… | JEE Main 2024 (8 Apr, Shift 2)

Q5JEE Main 2024 · 8 APR · SHIFT 2Easy

Mean Free Path & Real Gases

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:

Show answer and solution

Answer: (b)

Statement I: $\lambda = \dfrac{1}{\sqrt{2}\,n\pi d^2} \propto \dfrac{1}{d^2}$ , true.
Statement II: average KE $= \dfrac{3}{2}kT \propto T$ , true.
So the answer is (b) both statements are true.

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