First slide

Mean free path

Question

The plot that depicts the behavior of the mean free time $τ$ ( time between two successive collisions) for the molecules of an ideal gas, as a function of temperature (T), qualitatively, is: (Graphs are schematic and not drawn to scale)

Moderate

A
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D

Solution

$τ = \frac{λ}{< v >} = \frac{1}{\sqrt{2} π d^{2} n \sqrt{\frac{8 R T}{π M}}}$
if v is kept constant then $τ \propto \frac{1}{\sqrt{T}}$

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