Does thermodynamics improve processing when chemical reaction is integrated with physical separation in binary ideal mixtures?

It is said that integration of reaction and separation brings about thermodynamic improvement of the process by shifting the reaction equilibrium. This paper aims to elucidate on this claim by proving that the lack of thermodynamic improvement associated with integrated reaction and separation result from exact cancellation of the reaction contribution by the corresponding separation contribution. The model system of a binary ideal reactant/product mixture is selected for this analysis. In order to further facilitate the analysis, pressure and temperature are assumed to remain steady and uniform, hence the rationale is drawn solely upon composition changes.