Understanding Entropy: What is it?

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Entropy is defined as a measure of the number of ways a system can be arranged, often associated with disorder and the progression toward thermodynamic equilibrium. In isolated systems, entropy never decreases, as they naturally evolve toward a state of maximum entropy. Clarification on specific aspects of entropy is needed for better understanding, as general explanations may not address individual confusion. The concept is fundamental in thermodynamics and plays a crucial role in understanding energy distribution. A more targeted question could facilitate a clearer explanation.
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I know this is elementary, but I'm having trouble understanding the definition of entropy. If someone could better clarify the term for me it would be much appreciated.
 
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from wikipedia:

Entropy is a measure of the number of specific ways in which a system may be arranged, often taken to be a measure of disorder, or a measure of progressing towards thermodynamic equilibrium. The entropy of an isolated system never decreases, because isolated systems spontaneously evolve towards thermodynamic equilibrium, which is the state of maximum entropy.
 
ls1datson said:
If someone could better clarify the term for me it would be much appreciated.

It would help if you could tell us what you don't understand about it. Otherwise we're just "shooting in the dark."
 
Hello! I have recently been reflecting on the formal structure of the second edition of Callen's Thermodynamics and an Introduction to Thermostatistics. Callen essentially postulates the existence of a function U, called the "internal energy", as a coordinate of thermodynamic systems. He doesn't explicitly say this, but it follows from the rest of the postulates that it must be defined for all equilibrium states, be continuously differentiable, additive over constituent subsystems...

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