Total entropy change does not depend on the mass of water?

Thread starter yellowputty
Start date Oct 25, 2009
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Change Entropy Mass Water

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When a system at temperature T1 is introduced to a heat bath at a higher temperature T2, the total entropy change during the process of reaching equilibrium is determined by the temperature difference rather than the mass of the water. The entropy change is calculated based on the heat transfer between the system and the heat bath, which is proportional to the temperature difference. While the mass of water affects the total heat transfer, it does not influence the entropy change per unit mass, leading to the conclusion that the total entropy change is independent of mass. This is a fundamental concept in thermodynamics, emphasizing the relationship between temperature, heat transfer, and entropy. Understanding this principle is crucial for analyzing thermal processes in various systems.

Oct 25, 2009

yellowputty

Hello,

Can someone please briefly explain to me why, if I have a system (water) T1, and introduce it to a heat bath of temperature T2 (where T2>T1), and the are left to reach equilibrium, that the total entropy change does not depend on the mass of water?

Thank you.

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Oct 25, 2009

Mapes

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I don't agree that the total entropy change is independent of the mass of water.

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