Kinetic Theory

JEE Main level, single correct, medium

56 of 168

Question 56 of 168

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 relations unchanged.

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Answer: (A) (B)(B) and (C)\left(C\right)

As we know mean free path
λ=12(NV)πd2\lambda =\dfrac{1}{\sqrt{2}\left(\dfrac{N}{V}\right)\pi {d}^{2}}
N = no. of molecule

V = volume of container

d = diameter of molecule

Velocity constant and no. of molecules are same. So mean free path remains same. As temperature increases no. of collision increases so relaxation time decrease.

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