Assertion and Reason on Kinetic Energy of Gas – Rankers Physics

Kinetic Theory of Gases: Practice Problem & Solution

Given below are two statements: Assertion (A): The average translational kinetic energy per molecule of gas for various gases at the same temperature is the same. Reason (R): At a given temperature, all molecules of a gas move with nearly the same speed.  
Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
Both Assertion and Reason are true but Reason is not correct explanation of Assertion.
Assertion is true but Reason is false.
Assertion and Reason are false.

Solution Explained:

To solve this problem, we apply the core principles of Kinetic Theory of Gases. Understanding the underlying formula is key to arriving at the correct answer below:

Average translational kinetic energy per molecule is \(\frac{3}{2}kT\), which depends only on temperature and is same for all gases. However, at a given temperature, gas molecules have a distribution of speeds, not the same speed. Assertion is true but Reason is false.

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