Assertion and Reason on Internal Energy – Rankers Physics

Kinetic Theory of Gases: Practice Problem & Solution

Consider the following statements out of which one is labelled as assertion and other as reason. Assertion: The internal energy of an ideal monoatomic gas enclosed in a container does not change when there is no change in temperature. Reason: Internal energy of a gaseous system is path function.  
Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).
Assertion (A) is true and Reason (R) is false.
Assertion (A) is false and Reason (R) is true.

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:

Internal energy of an ideal gas depends only on its temperature, so the Assertion is true. However, internal energy is a state function, not a path function, so the Reason is false.

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