Given below are two statements : Statement (I) : The mean free path...

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 :

Options

AStatement I is true but Statement II is false
BBoth Statement I and Statement II are false
CBoth Statement I and Statement II are true
DStatement I is false but Statement II is true

Correct answer

C. Both Statement I and Statement II are true

Step-by-step solution

\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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