We present a pedagogical tool that facilitates the derivation of wide-ranging thermodynamic implications of the second law and, particularly, the consequences of irreversible processes, including a number of important results that are not described in current physical chemistry textbooks. This method begins by converting the Clausius inequality into an equality by introducing a deficit function that represents a quantitative measure of the excess entropy or heat produced as well as the inefficiency in work performed in any irreversible processes. We also investigate the consequences of applying or removing constraints that initiate spontaneous processes. Our analysis leads to remarkably concise alternative methods for relating the conventional thermodynamic potential functions to the associated minimum principles that drive spontaneous transformations. We further use this method to derive relations between each thermodynamic potential and the maximum work obtainable from processes carried out under various externally imposed constraints.
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Citation
Honig, J. M.; Ben-Amotz, Dor. J. Chem. Educ.2006 83 132.
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