Internal Energy and Temperature Change – Rankers Physics

Kinetic Theory of Gases: Practice Problem & Solution

Assertion (A): Internal energy of an ideal gas \( U = nC_V T \) is due to random motion of gas molecules. Reason (R): A container is moving with speed \( v \). It is suddenly stopped by a force, temperature of gas increases.
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Short Solution (Best for NEET):

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:

Assertion (A) is true as internal energy comes from random molecular motion. Reason (R) is also true, as kinetic energy converts to internal energy upon sudden stopping. However, (R) does not explain (A).

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