Practice question · Multiple choice
The zeroth law is an empirical observation of transitivity rather than a purely logical truth. What follows from this distinction when we attempt to assign a single temperature to a system?
Hints
- What mathematical structure does a relation require to group systems under a shared label?
- Why cannot the first law alone ensure that two bodies in equilibrium with a third agree with each other?
Show the answer
B. Temperature exists as an objective label for an equivalence class
Why
Without empirical transitivity, thermal equilibrium would not partition states into equivalence classes, making a single scalar temperature mathematically invalid. Transitivity is independent of energy conservation and does not require equal volumes.
Practise The Zeroth Law and Thermodynamic Coefficients
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More questions on The Zeroth Law and Thermodynamic Coefficients
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