A Vector Representation for Thermodynamic Relationships

A new method is presented for manipulating thermodynamic relationships that allows the derivation of thermodynamic relationships involving energy-dimensioned potentials, entropy-dimensioned functions, and their natural variables. This approach uses a set of "ad hoc" rules that systematize the underlying thermodynamic manipulations. The method is based on uncomplicated matrix algebra and is a representation of the quasi-geometrical method that is based on published thermodynamic diagrams.