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Hmmm. The way I use the symbols Q and W, the question is phrased in a way
that is highly likely to produce confusion, and the suggested answer just
increases the probability of confusion.
a cylinder full of ideal gas.
We can even imagine that the brick is oscillating up and down in response
to its weight, its inertia, and the gas-pressure on the piston. The
oscillation repeatedly transfers energy between the gas and the brick.