Metric geometry of equilibrium thermodynamics. IV. Vector-algebraic evaluation of thermodynamic derivatives

A new set of procedures is given for the systematic evaluation of thermodynamic derivatives by vector-algebraic means. The new procedures are at once simpler and more general than previously available methods, and require no special tables. General thermodynamic derivatives are evaluated for the familiar one-component homogeneous fluid (where the techniques are extensively illustrated) and for multicomponent systems of arbitrary complexity.