Vector Notation for Partial Molar Properties in Single-Phase Simple Systems

Abstract

Conventional coordinate systems used in thermodynamic analysis of mixtures use either mole numbers or mole fractions as independent variables. The definition of quantities and the derivation of relationships in these systems entail formidable algebra. The introduction of a position vector for the amount and composition of a multi-component mixture allows the expression of useful derivative quantities in vector and tensor notation, independently of the coordinate system used.