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You make the right point, Leigh. Let me expand (perhaps corrupt:) abit.
In the first law of thermodynamics, dE = dQ + dW, dW is simply atemplate
to be filled in "ad hoc" to account for an exchange of non-heat energyof
between the system and its environment. The form of the template is
typically further (but still vaguely) specified as dW=Y*dX.
This is adapted ad hoc to include mechanical, electrical, etc ( psychic?
:) interactions with the environment which were not included in dQ. How
these energy forms are partitioned (even dQ vs dW) is open to a variety
approaches, so long as the equation balances. I.E., as far as dE isterms;
concerned, there is no hard and fast, universal definition of these
each situation is open to an ad hoc model for dQ and the various dW's -definition(s)
whatever it takes to balance the equation.
Mechanical work is a different animal, admitting of specific
for specific purely mechanical W-E theorem(s).
Bob