The Thermodynamics of Mixing Ideal Gases | Santa Fe College - Edubirdie

University:
Santa Fe College
Course:
PHY 2048 | General Physics 1 with Calculus
Academic year:

2024
Views:

495

Pages:

2
Author:

Jabin F.

Mixing of Two Different Samples of the Same Gas Given: Two samples of the same gas with: Sample 1: The gas particles in both samples have the same mass, This entropy change ΔS) is positive, reflecting the increase in entropy due to mixing. ΔS>0, which indicates that the entropy increases after mixing. Paradox: For reversible mixing of identical gases, the change in entropy ΔS) should ideally be zero because the final state is indistinguishable from the initial state. However, calculating ΔS yields a positive value, leading to a paradoxical situation. Explanation: Distinguishable vs. Indistinguishable: Before mixing: The gases are distinguishable as they are in separate containers. After mixing: The gases are indistinguishable, resulting in a scenario where ΔS>0 appears contradictory because there should be no change in entropy when mixing identical gases. This situation is known as the Gibbs paradox, highlighting the inconsistency that arises when considering the entropy change during the mixing of identical particles.

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