LECTURE PHYSICAL CHEMISTRY 3rd EDITION ROBERT G. MORTIMER

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A mnemonic device for writing the Maxwell relations
is to write a blank relation
and then to put P and V in opposite corners and T
and S in the other opposite corners.
There are four ways to do this, giving the four
Maxwell relations. In each relation the independent
variable in one derivative is held constant in the other
derivative and n is fixed in both of the derivatives. If T
and V occur in the same derivative, attach a
negative sign to one side. Otherwise, the signs are
positive.
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