Given below are two statements:Statement (I): | vedclass

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(D) The mean free path $\lambda$ of gas molecules is given by the formula $\lambda = \frac{k_B T}{\sqrt{2} \pi d^2 P}$,where $d$ is the molecular diam

Vedclass · Accepted Answer

Both Statement $I$ and Statement $II$ are true.

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(D) The mean free path $\lambda$ of gas molecules is given by the formula $\lambda = \frac{k_B T}{\sqrt{2} \pi d^2 P}$,where $d$ is the molecular diameter. Since $\lambda \propto \frac{1}{d^2}$,Statement $(I)$ is true.The average kinetic energy of gas molecules is given by $KE_{avg} = \frac{3}{2} k_B T$ (for monatomic gases). Since $KE_{avg} \propto T$,the average kinetic energy is directly proportional to the absolute temperature. Thus,Statement $(II)$ is true.Therefore,both statements are true.

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