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Consider a gas expanding into a vacuum. The volume
is changing and the question is, how is the internal energy
changing with the change in volume. This is measured by the
Internal Pressure, which is defined
as follows:

As a gas expands, the molecules become further
apart, and so the potential energy between them changes. Internal
pressure is thus a measure of the attractive forces between
the molecules.
We know that ΔU = q
+ w, and for free expansion, w = 0, so ΔU
= q.
| A man called Joule tried
to measure the internal pressure by expanding a gas
into a known volume vacuum with the whole apparatus in
a water bath, and studying the temperature change of the
water, which would be proportional to the heat supplied
to the system from the water bath (q).
However, he failed to notice any change in temperature.
This is because a perfect gas has no internal pressure
(no molecular interactions). His equipment wasn't sensitive
enough to detect the minor changes resulting from the
fact that the gas being used was not ideal. |
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