Temperature as a property of matter

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Temperature can be considered a property of matter, defined by its relationship to internal energy and entropy, even without being linked to specific states of matter like boiling or melting points. It serves as a measure of average kinetic energy per particle and can be viewed as a thermodynamic state function at equilibrium. While some argue that temperature itself is not a property, but rather a condition, it still plays a crucial role in understanding the behavior of substances in thermal contact. The concept of temperature also connects to wave properties of matter and is influenced by principles like the equipartition theorem and the Virial theorem. Overall, temperature is a fundamental aspect of thermodynamics that applies broadly, even in less defined states of matter.
Sultanphys
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Can we consider temperature in general as "property" without even been associated to well defined states of matter.
Like the boiling and melting points.
 
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Temperature is defined by the relationship between the internal energy and the entropy of a sample of matter. If I'm understanding your question properly, that makes the answer "yes" - but you would be better off spending some time understanding what temperature is and how it is related to entropy.
 
Taking the definition of temperature as the measure of average kinetic energy per particle,it is considered as property of material when associated with a well defined state of that material like it's boiling point ,say.but the question is heat transfer cannot be stopped,right?,so if we can say the universe is going towards a one temperature after sufficient time makes it property of well divided regions of universe that are at given one temperature,but also a property of the whole universe when reach the one common temperature,so we can consider it as property as long as universe is not well defined.
This is my question .
 
Sultanphys said:
Taking the definition of temperature as the measure of average kinetic energy per particle

It is better to define temperature as a thermodynamic state function characterising a thermodynamic equilibrium.
 
So the answer to my question that temperature can be considered as property in general is right?
 
Sultanphys said:
So the answer to my question that temperature can be considered as property in general is right?
I would say that a condition under which a substance is being kept (for instance its temperature) is not a 'Property'. Examples of properties would, imo, be its boiling point, its resistivity or its bulk modulus. Two different substances, with many differing properties can be side by side, in the same water bath and at the same Temperature.
 
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Temperature does indeed have a relationship with matter... it even has a relationship with wave matter!

Temperature ordinarily for physicists is thought about in terms of the equipartition. The energy of a single particle in terms of temperature is

E = \frac{3}{2}k_BT

The Virial theorem, also says something about relating the temperature of a system to the average kinetic motion of its constituents and can loosely be though of as

k_B T = \frac{1}{2} \mathbf{p} \cdot \mathbf{v}

Thirdly, temperature can be associated to the wave property of matter known as the thermal deBroglie relation.
 
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