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Kinetic Theory of Gases — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsKinetic Theory of Gases2 Marks
Question
Estimate the number of collisions per second suffered by a molecule in a sample of hydrogen at STP. The mean free path (average distance covered by a molecule between successive collisions) = $1.38 \times 10^{-5}cm$.
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Answer

$\text{V}_\text{mean}=\sqrt{\frac{8\text{RT}}{\pi\text{M}}}=\sqrt{\frac{8\times8.3\times273}{3.14\times2\times10^{-3}}}=1698.96$Total Dist = 1698.96m
No. of Collisions $=\frac{1698.96}{1.38\times10^{-7}}=1.23\times10^{10}$

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