Kinetic Theory

JEE Main level, single correct, medium

54 of 168

Question 54 of 168

In a dilute gas at pressure PP and temperature 'tt', the time between successive collision of a molecule varies with TT as :

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Answer: (B) 1T\dfrac{1}{\sqrt{T}}

Tmeanα1T{T}_{mean}\alpha \dfrac{1}{\sqrt{T}}
∴∴ time =V4π2r2VN=\dfrac{V}{4\pi \sqrt{2}}{r}^{2}VN
V=2RTπMV=\sqrt{\dfrac{2RT}{\pi M}}

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