Why define entropy with heat instead of work?

In summary, entropy is a measure of disorder or randomness in a system and is related to the amount of heat energy that is unavailable to do work. It is used to explain why things tend to become more disordered over time and why energy is constantly being lost or wasted in various processes. Entropy applies to all physical systems and is always increasing according to the second law of thermodynamics. However, in some cases, entropy can decrease in local regions as long as the total entropy of the system continues to increase.
  • #1
Andrew U
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From what I understand, in the Carnot cycle summing qi/Ti for each step results in zero, thus indicating a new state function, entropy = qrev/T. But since dE = 0 = q+w, then q = -w, and looking at the equations derived from the cycle summing wi/Ti for each step should also result in zero. So why can't one also define entropy as wrev/T?
 
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  • #2
Suppose you heat a body without doing any work. Does its entropy change?
 

FAQ: Why define entropy with heat instead of work?

1. What is the definition of entropy?

Entropy is a measure of the disorder or randomness in a system. It is a concept in thermodynamics that describes the tendency of a system to move towards a state of equilibrium and maximum randomness.

2. How is entropy related to heat?

Entropy is defined as the amount of heat energy in a system that is unavailable to do work. In other words, it is a measure of the amount of energy that is converted from a useful form (such as heat) to an unusable form (such as disorder).

3. Why is heat used to define entropy instead of work?

Heat is used to define entropy because it is a more fundamental and measurable property in thermodynamics. Work, on the other hand, is a derived quantity and can vary depending on the path taken to achieve it. Heat is also a more intuitive concept and easier to measure in practical experiments.

4. How does the concept of entropy apply to real-world systems?

Entropy is a universal concept that applies to all physical systems, including biological, chemical, and even economic systems. It explains why things tend to become more disordered over time, and why energy is constantly being lost or wasted in various processes.

5. Is entropy always increasing?

According to the second law of thermodynamics, the total entropy of a closed system will always increase over time. This is known as the arrow of time and is a fundamental principle in understanding the behavior of physical systems. However, in certain cases, entropy can decrease in local regions, as long as the total entropy of the system continues to increase.

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