Kinetic Theory

JEE Main level, single correct, medium

127 of 168

Question 127 of 168

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 :

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Answer: (C) Both Statement I and Statement II are true

λ=RT2πd2 NAPKE=f2nRT\begin{aligned} & \lambda=\frac{\mathrm{RT}}{\sqrt{2} \pi \mathrm{d}^2 \mathrm{~N}_{\mathrm{A}} \mathrm{P}} \\ & \mathrm{KE}=\frac{\mathrm{f}}{2} \mathrm{nRT}\end{aligned}

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