LECTURE PHYSICAL CHEMISTRY 3rd EDITION ROBERT G. MORTIMER

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The Joule experiment was carried out several times
with various volumes for the second chamber. The
ratio ∆T/∆V would be determined for each experiment
and extrapolated to zero value of ∆V, where ∆V is the
final volume of the gas minus its initial volume. This
extrapolation is equivalent to taking the mathematical
limit, so the result is a partial derivative, called the
Joule coefficient and denoted by µ J :
The Joule coefficient is related to (∂U/∂V) T ,n by use of
the cycle rule
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