In a dilute gas at pressure


In a dilute gas at pressure $P$ and temperature $T$, the mean time between successive collisions of a molecule varies with $T$ as :

  1. $\sqrt{\mathrm{T}}$

  2. $\frac{1}{T}$

  3. $\frac{1}{\sqrt{T}}$

  4. $\mathrm{T}$

Correct Option: , 3


$\mathrm{v}_{\mathrm{avg}} \propto \sqrt{\mathrm{T}}$

$\mathrm{t}_{0}:$ mean time

$\lambda:$ mean free path

$\mathrm{t}_{0}=\frac{\lambda}{\mathrm{V}_{\mathrm{avg}}} \propto \frac{1}{\sqrt{\mathrm{T}}}$

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