Maxwell’s Speed Distribution Curve Area – Rankers Physics

Kinetic Theory of Gases: Practice Problem & Solution

Assertion (A): In Maxwell's speed distribution graph, for a given amount of gas, the area under the graph increases as the temperature of the gas increases. Reason (R): Decrease in temperature broadening the curve.  
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

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:

Assertion (A) is false. The area under the Maxwell distribution curve represents the total number of gas molecules, which remains constant regardless of temperature changes. Reason (R) is false. A decrease in temperature causes the speed distribution curve to become narrower and taller, not broader. Since both A and R are false, option (4) is correct.

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