|Spanish chemical equilibrium theory historian Juan Quilez’s snapshot summary of Berthellot’s affinity theory, in the context of the historical development of topic of chemical equilibrium, affinity tables up through the chemical thermodynamics work of Jacobus van’t Hoff. |
In 1798, Claude Berthollet accompanied Napoleon’s military expedition to Egypt, during which time his observations of the Natron Lakes, led to new insights about affinity theory. (Ѻ) (Ѻ)
In his 1799 paper “Research on the Laws of Affinity”, Berthollet summarized his issues with the theory of elective affinity as follows: 
“The very term elective affinity must lead into error, as it supposes the union of the whole of one substance with another, in preference to a third; whereas there is only a partition of action, which is itself subordinate to other chemical circumstances … care must be taken not to consider this affinity as a uniform force which produces compositions and decompositions … Such a conclusion would lead us to neglect all the modifications which it undergoes form the commencement of action to the term of equilibrium.”
|An American-edition English translation of Berthollet's 1801 Researches into the Laws of Chemical Affinity, wherein he shows, via experimental findings, how Torbern Bergman's elective affinity theory is in conceptual error, to some extent. |
AC + B → AB + C
would actuate such that force of affinity of the leaving species A could possibly split into two parts: 
AC + B → A1B + A2C
Berthollet elaborated on this further in 1801 as well as in his 1803 Essai de Statique Chemique (Essay on Static Chemistry).
In 1801, Berthollet, in his Researches into the Laws of Chemical Affinity, wherein, following historical overview of the work of Torbern Bergman, givens an chapter two, entitled “Experiments Which Show that the Doctrine of Elective Affinities is Ill Founded”; the following a representative excerpt: 
In human chemistry, in German polymath Johann Goethe’s affinity chemistry based 1809 novella Elective Affinities, according to elective affinities scholar Jeremy Adler, Goethe refers to Berthollet’s affinity theory via the Captain’s comment “whether it still fits the newer doctrines, I am unable to say", about his present knowledge of affinity chemistry. Likewise in an 1826 letter Goethe famously commented: 
“For decades [I have been struggling] with Berthollet in the matter of the affinities.”
which is indeed quite a fascinating statement; the statement itself meaning that for some thirty years Goethe had been digging around in the experimentally-based revised affinity chemistry theories of Claude Berthollet so to better understand in the ins and outs of human existence.
1. Holmes, Frederick L. (1962). “From Elective Affinities to Chemical Equilibria: Berthollet’s Law of Mass Action” (Berthollet’s affinity theory, pg. 115) (abs), Chymia 8: 105-46.
2. (a) Goethe, Johann. (1826). “Letter”, Sep. 26.
(b) Adler, Jeremy. (1990). "Goethe's use of chemical theory in his Elective Affinities" (ch. 18, pgs. 263-79) in Romanticism and the Sciences - edited by Andrew Cunningham and Nicholas Jardine, New York: Cambridge University Press.
3. Quilez, Juan. (2007). “A Historical/Philosophical Foundation for Teaching Chemical Equilibrium”, Ninth International History Philosophy & Science Teaching Conference, Calgary/Canada, Jun. 24-28.
4. (a) Berthollet, Claude. (1799). “Research on the Laws of Affinity” (“Recherches sur les Lois de l’Affinite”), 146, 154. Publisher.
(b) Berthollet, Claude-Louis. (1804). Researches into the Laws of Chemical Affinity. Da Capo Press, 1966.
5. Thims, Libb. (2007). Human Chemistry (Volume Two) (Claude Berthollet, pgs. 375, 405, 425) (preview), (Google books). Morrisville, NC: LuLu.
6. (a) Berthollet, Claude. (1801). Title. Mémoires de l'Institut National des Sciences et Arts. Paris.
(b) Berthollet, Claude. (1801). Researches into the Laws of Chemical Affinity (translator: Mallory Farrell). London: John Murray.
(c) Berthollet, Claude. (1801). Researches into the Laws of Chemical Affinity (translator: Mallory Farrell) (abs). Boston; Philadelphia: Philip H. Nicklin and Co, 1809.
● Guilez, Juan. (2004). “A Historical Approach to the Development of Chemical Equilibrium through the Evolution of the Affinity Concept: Some Educational Suggestions”, Chemistry and Education: Research and Practice, 5(1): 69-87.
● Quilez, Juan. (2006). “The Role of Theories in Early Studies of Chemical Equilibria”, Bull. Hist. Chem. 31(2):45-57.
● Guilez, Juan. (2009). “From Chemical Forces to Chemical Rates: A Historical/Philosophical Foundation for the Teaching of Chemical Equilibrium” (abs), Science & Education, 18(9): 1203-51.
● Harvey, David. (c.2010). Analytical Chemistry 2.0 (§6A: Reversible Reactions and Chemical Equilibria, pgs. 210-13). McGraw-Hill, 1999.