The Balance 2？f (O) – F (H) As A Cornerstone in Formulation of Electrolytic Systems - The Balance 2？f (O) – F (H) As A Cornerstone in Formulation of Electrolytic Systems - Open Access Pub

The Generalized Electron Balance (GEB) concept, related to electrolytic redox systems, is considered according to principles of Generalized Approach to Electrolytic Systems (GATES). Two equivalent Approaches (I and II) to GEB are presented. The Approach I, when perceived in convention of the card game, is based on the common pool of electrons as money, introduced by electron-active elements, named as players; electron-non-active elements are called there as fans. The GEB obtained according to Approach II results from the linear combination f12 = 2？f(O) – f(H) of elemental balances: f1 = f(H) for H, and f2 = f(O) for O. Very important properties of f12 are presented here in details, and illustrated by a redox system where comproportion- ation reactions occur DOI10.14302/issn.2377-2549.jndc-18-2177 The linear combination f12 = 2？f(O) – f(H) of elemental balances: f1 = f(H) for H, and f2 = f(O) for O, can be formulated for electrolytic redox and non-redox systems, of any degree of complexity, where charge (f0 = ChB) and elemental/core balances fk = f(Yk)for Yk ≠ H, O (k≥3, …, K) are also formulated, according to Generalized approach to redox systems (GATES) principles. The set of K independent balances f0, f12, f3, …, fK is necessary for thermodynamic resolution of a redox system; all the balances are presented here in the form fk = 0 (k = 0, …, K). A non-redox system is resolvable with use of K–1 independent balances f0, f3, …, fK. In a non-redox system, f12 is the dependent balance, indicated by the linear combination , where dk are the oxidation numbers (ONs) for Y1 = H, Y2 = O, and Yk (k≥3, …, K). For a non-redox system, the LC is expressed by identity, 0 = 0, i.e., f12 is linearly dependent on f0, f3, …, fK, and then . For a redox system, LC is expressed by equation different from the identity, i.e., f12 is the new balance in the redox system. Therefore, the linear dependency/independency of f12 from f0, f3, …, fK is the general criterion distinguishing between non-redox and redox systems, of any degree of complexity. The Approach II to GEB (formulated 2005) was preceded by the Approach I to GEB (formulated 1992); both approaches are equivalent, i.e., Approach I to GEB ？ Approach II to GEB (1) Formulation of GEB according to Approach I can be perceived in the convention of the card game, based on the common pool of electrons as money, introduced by electron-active elements, named as players; electron-non-active elements are called there as fans. In a redox system, the arranged set (f1, f2, …, fk, fk+1,, …, fK) of K balances f1, …, fK involves K*