Thermodynamic Axioms: Establishing Temperature, Internal Energy & Entropy

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The 0th, 1st, and 2nd Laws of Thermodynamics serve to validate the thermodynamic properties of temperature, internal energy, and entropy, establishing them as essential state properties. These laws provide foundational axioms that support the principles of thermodynamics, including transitivity, energy conservation, and constraints on energy transfer. Their implications extend beyond theoretical understanding, suggesting potential applications in the design and operation of mechanical and chemical processing equipment. By quantifying these properties, engineers can optimize processes and improve efficiency. Ultimately, these laws are crucial for both theoretical and practical advancements in thermodynamics.
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Is the purpose of the 0th, 1st & 2nd Laws of Thermodynamics simply to legitimate the thermodynamic properties of Temperature, Internal Energy & Entropy, respectively?

It seems that all these laws really do is establish that these properties are valid thermodynamic state properties and the underlying transitivity (0th), formula (1st) & constraint (2nd) that are fundamental axioms from which the science of thermodynamics can be constructed.
 
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Do you think they might be of any use in quantifying design and operation of mechanical and chemical processing equipment?
 

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