States of Matter - Result Question 44

44. According to the kinetic theory of gases

(2011)

(a) collisions are not always elastic

(b) heavier molecules transfer more momentum to the wall of the container

(c) only a small number of molecules have very high velocity

(d) between collisions, the molecules move in straight lines with constant velocities

Show Answer

Answer:

Correct Answer: 44. (a)

Solution:

(a) According to a postulate of kinetic theory of gases, collision between the molecules as well as with the wall of container is perfectly elastic in nature.

(b) If a gas molecule of mass $m$ moving with speed $u$ collides with the wall of container, the change in momentum is $\Delta p=-2 m u$. Therefore, heavier molecule will transfer more momentum to the wall as there will be greater change in momentum of the colliding gas molecule. However, this is not postulated in kinetic theory.

(c) According to Maxwell-Boltzmann distribution of molecular speed, very few molecules have either very high or very low speeds. Most of the molecules move in a specific, intermediate speed range.

(d) According to kinetic theory of gases, a gas molecule moves in straight line unless it collides with another molecule or with the wall of container, and change in momentum is observed only after collision.



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