QJEEM20Phcef8: JEE Main 2020 Physics - Class 11 JEEM20Phcef8 Solution: In a dilute gas at pressure P and temperature T, the mean time…

Question

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

Accepted Answer

Time (t) =

\frac{V}{4 π \sqrt{2} r^{2} v N}

....(1)

Here, v = most probable speed
=

\sqrt{\frac{2 R T}{π M}}

\Rightarrow

v

\propto

\sqrt{T}

∴

From (1),

t

\propto

\frac{1}{\sqrt{T}}

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