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Properties of adiabatic process

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Hello

Can we consider the sentence “Adiabatic process cannot decrease entropy” (found for example here) to be true in any circumstances ? Here I do not want to focus on any particular situation. Hence the system is not necessarily a (perfect) gas; the transformation is not necessarily quasi-static; neither the system nor the environment are necessarily in equilibrium during and at the end of the transformation.

If true and considering this statement is not presented as a thermodynamic principle, how can we deduce it from the two principles? In particular I think we cannot say that the “exchanged entropy” is something like ∫δQ/T as T is not necessarily a defined entity because temperature might be heterogeneous.

Thanks

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