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Vehemently NO for your 7) and 8).
dQ is different for different paths between the same two states.
dQ =TdS ONLY for a reversible path between the two given states.
dS =dQ/T (reversible process) is path independent;
dQ (even for reversible processes {where dQ=Tds} ) is path dependent.
Bob
> . . .
> 7) The only way to calculate DQ for the irreversible process is to
choose a
> reversible process with the same end states as the irreversible one,
> determine the end point entropy of that process and then calculate
DQ=TdS.
>
> 8) In some cases dS might be determined from a carefully chosen DQ of
the
> reversible process, but that would be the same DQ for the irreversible