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how would you expect the entropy of a system (for example, the entropy of a kilogram of liquid water) to change if the temperature of the system is increased (no phase change occurs, just the liquid's temperature increases)?

User Pravitha V
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The entropy of a system (such as a kilogram of liquid water) is a measure of the amount of thermal energy that is unavailable to do work. As the temperature of a system increases, the entropy of the system will also generally increase.

This is because as the temperature increases, the molecules in the liquid water will have more kinetic energy, which means they will move around more and have more possible microstates. This increase in possible microstates leads to an increase in entropy.

Additionally, increasing the temperature also increases the disorder of a system, as the molecules have more kinetic energy, they have more ways to distribute the energy, and the distribution becomes more random. The increase in disorder also contributes to the increase in entropy.

It's important to notice that the increase in entropy is a natural tendency of closed systems, which the second law of thermodynamics states that the entropy of an isolated system can only increase over time, it will never decrease.

User Houen
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