As an expert in thermodynamics and statistical mechanics, I can provide a detailed explanation of entropy and its relation to the states of matter.
Entropy, represented by the symbol \( S \), is a fundamental concept in the second law of thermodynamics, which states that the total entropy of an isolated system can never decrease over time, and is constant if and only if all processes are reversible.

### Understanding Entropy
Entropy is a measure of the number of specific ways in which a system may be arranged, commonly understood as a measure of disorder. It's important to note that the term "disorder" in this context does not imply chaos or messiness but rather the lack of a preferred direction or pattern in the system.

### Entropy and States of Matter
When considering the three primary states of matter—solid, liquid, and gas—the entropy of a system is indeed related to the freedom of movement of its particles. Here's a breakdown:


1. Solid: In a solid, particles are closely packed together and have limited freedom of movement. They vibrate in place but do not move freely. This results in a relatively low entropy because the arrangement of particles is highly ordered.


2. Liquid: In the liquid state, particles have more freedom to move around than in a solid. They can slide past each other, which allows for a greater number of possible arrangements and thus a higher entropy than in a solid.


3. Gas: Gases have the highest entropy among the three states of matter because the particles are in constant, random motion and can occupy the entire volume available to them. There are vastly more ways to arrange gas particles than solid or liquid particles, leading to the highest degree of randomness.

### The Lowest Entropy State
Given this understanding, the state with the lowest entropy would be the one with the most ordered arrangement of particles, which is the solid state. In a solid, the entropy is at its minimum because the particles are in a fixed, regular pattern with little to no freedom to move.

### Factors Affecting Entropy
It's also important to consider that the entropy of a system is not solely determined by its state of matter. Other factors such as temperature, pressure, and the presence of external forces can influence entropy. For instance, at absolute zero (0 K), the entropy of a perfect crystal is exactly zero, as all the particles are in their lowest energy state with no motion.

### Entropy in Real Systems
In real-world applications, the concept of entropy is used to predict the direction of spontaneous processes. It helps in determining whether a reaction is spontaneous, at equilibrium, or non-spontaneous. It's also crucial in the design of engines, refrigeration systems, and other thermodynamic processes.

### Conclusion
In summary, while the entropy of a system is influenced by various factors, when comparing the three states of matter, the solid state has the lowest entropy due to the highly ordered arrangement of its particles. This understanding is fundamental to the study of thermodynamics and the behavior of systems in the physical world.

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Entropy by definition is the degree of randomness in a system. If we look at the three states of matter: Solid, Liquid and Gas, we can see that the gas particles move freely and therefore, the degree of randomness is the highest.Nov 21, 2015read more >>