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Karnataka Board PUCPUC Science Class 11

It is Said that the Assumptions of Kinetic Theory Are Good for Gases Having Low Densities. Suppose a Container is So Evacuated that Only One Molecule is Left in It.

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Question

It is said that the assumptions of kinetic theory are good for gases having low densities. Suppose a container is so evacuated that only one molecule is left in it. Which of the assumptions of kinetic theory will not be valid for such a situation? Can we assign a temperature to this gas?

Short/Brief Note
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Solution

Two postulates of kinetic theory will not be valid in this case. These are given below:

1. All gases are made up of molecules moving randomly in all directions
2. When a gas is left for a sufficient time, it comes to a steady state. The density and the distribution of molecules with different velocities are independent of position, direction and time. 

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Chapter 24: Kinetic Theory of Gases - Short Answers [Page 32]

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HC Verma Concepts of Physics Volume 1 and 2 [English]
Chapter 24 Kinetic Theory of Gases
Short Answers | Q 9 | Page 32

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