In a dilute gas at pressure P and temperature T, the mean time between successive collisions of a molecule varies with T as :
Solution
Time (t) = ${V \over {4\pi \sqrt 2 {r^2}vN}}$ ....(1)
<br><br>Here, v = most probable speed
<br>= $\sqrt {{{2RT} \over {\pi M}}}$
<br><br>$\Rightarrow$ v $\propto$ $\sqrt T$
<br><br>$\therefore$ From (1),
<br><br>t $\propto$ ${1 \over {\sqrt T }}$
About this question
Subject: Physics · Chapter: Thermodynamics · Topic: Kinetic Theory of Gases
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