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Questions  

An ideal gas in a closed container is slowly heated. As its temperature increases, which of the following statements are true?
(A) the mean free path of the molecules decreases
(B) the mean collision time between the molecules decreases.
(C) the mean free path remains unchanged.
(D) the mean collision time remains unchanged.
 

a
(C) and (D)
b
(A) and (B)
c
(A) and (D)
d
(B) and (C)

detailed solution

Correct option is D

Mean free path  λ=12πd2NVFor closed container V = constant So  λ=constantMean collision time  =λV as  V∝TSo when  T   increases⇒V increases⇒time decreases

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Calculate the ratio of the mean free paths of the molecules of two gases having molecular diameters 1 Ao and 2 Ao. The gases may be considered under identical conditions of temperature, pressure and volume.


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