The mean free path ell for a gas molecule dep | vedclass

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(B) The mean free path $\ell$ of a gas molecule is defined as the average distance traveled by a molecule between two successive collisions.The formul

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$\ell \propto \frac{1}{d^{2}}$

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(B) The mean free path $\ell$ of a gas molecule is defined as the average distance traveled by a molecule between two successive collisions.The formula for the mean free path is given by:$\ell = \frac{1}{\sqrt{2} n \pi d^{2}}$where $n$ is the number density of molecules and $d$ is the diameter of the molecule.From the formula,it is clear that $\ell$ is inversely proportional to the square of the diameter $d$.Therefore,$\ell \propto \frac{1}{d^{2}}$.

The mean free path $\ell$ for a gas molecule depends upon the diameter $d$ of the molecule as:

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