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Q.

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.

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a

(C) and (D)

b

(A) and (B)

c

(A) and (D)

d

(B) and (C)

answer is D.

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Detailed Solution

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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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.