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Change in entropy is not associated with an actual process;
Huh? I would have said just the opposite. Entropy doesn't just
change. There has to be some actual process that changes it.
it is associated with *any* hypothetical reversible process
capable of taking an identical system from the same initial to the
same final state as the system in question.
Huh? I wouldn't have said that at all.
Entropy changes occur in
irreversible as well as reversible processes. And entropy changes occur
under lots of conditions that are not closed cycles. And not hypothetical,
either.