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Calculate the ratio of the mean free paths of the molecules of two gases having molecular diameters 1 $\overset{o}{A}$ and 2 $\overset{o}{A}$ . The gases may be considered under identical conditions of temperature, pressure and volume.

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4:1

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detailed solution

Correct option is D

Mean free path of a molecule is given by l=12d2nwhere n = number of molecules/volume d = diameter of the moleculeNow, we can write l∝1d2 Given, d1=1Å,d2=2A As l1∝1d12 and l2∝1d22⇒ So, l1l2=d2d12=212=41 Hence, l1:l2=4:1

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Calculate the ratio of the mean free paths of the molecules of two gases having molecular diameters 1 Ao and 2 Ao. The gases may be considered under identical conditions of temperature, pressure and volume.

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Calculate the ratio of the mean free paths of the molecules of two gases having molecular diameters 1 $\overset{o}{A}$ and 2 $\overset{o}{A}$ . The gases may be considered under identical conditions of temperature, pressure and volume.