Applied Mineralogical Thermodynamics: Selected Topics by N. D. Chatterjee

By N. D. Chatterjee

Thermodynamic remedy of mineral equilibria, a subject matter significant to mineralogical thermodynamics, may be traced again to the tum of the century, while J. H. Van't Hoff and his affiliates pioneered in making use of thermodynamics to the mineral assemblages saw within the Stassfurt salt deposit. even supposing different well known researchers joined forces to strengthen the topic - H. E. Boeke even attempted to popularize it by way of giving an summary of the early advancements in his "Grundlagen der physikalisch-chemischen Petrographie", Berlin, 1915 - it remained, usually, an esoteric topic for almost all of the modern geological neighborhood. obvious that means, mineralogical thermodynamics got here of age over the last 4 many years, and developed very quickly right into a mainstream self-discipline of geochemistry. It has contributed greatly to our figuring out of the part equilibria of mineral platforms, and has helped placed mineralogy and petrology on a company quantitative foundation. within the wake of those advancements, educational curricula now require the scholars of geology to take a direction in simple thermodynamics, generally provided via the departments of chemistry. development on that origin, a supplementary path is usually provided to familiarize the scholars with various mineralogical purposes of thermo­ dynamics. This booklet attracts from the author's adventure in giving this type of direction, and has been adapted to cater to those that have had a prior publicity to the fundamental ideas of chemical thermodynamics.

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The scale illustrating G~ has been doubled for the sake of clarity From the general expression obtained earlier for molar Gibbs energy of a solution [cf. 73)), it is evident that besides data on ~\ at T and P, knowledge of the activity coefficient, Yi' at that T and P as a function of Xi is of fundamental importance. Knowledge of those two quantities sets the stage for calculation of any heterogeneous phase relation. 215). We can fortunately measure it at some fixed T and P, and express it empirically by the so called solution models.

86a] remains unequivocal as long as we are dealing with one binary at a time. In other cases, it may become ambiguous. That happens, for instance, when we deal with two limiting binaries, 1-2 and 1-3, of a ternary solution of components 1, 2, and 3. That is because WG,I may now refer to the infmite dilution of component 1 in 1-2 or in 1-3. e. 2 or 3) be specified. 847). In this book, the notation introduced by Wohl (1946) will be adopted, according to which WG,I and W O,2 (of 1-2) are written as W O,12 and WG,21> respectively.

1id/dlnXi = RT). 1i' RTlnXi, and RTlnYi, as a function of Xi at constant T and P. 1? 1? 63) where ri indicates the activity coefficient of the i-th component at infinite dilution. 1~+ RTlnXi + RTlny/H). 64) As such, it is possible to translate one activity coefficient into the other. 64) we have "Ii (R) _ "Ii (H) - exp [I1PRT - I1t] . 65) 7) What has been stated here applies in an analogous manner also to a system at 1 bar pressure. l0j. l OJ =RTlnXj + RTlnYi =RTlnaj. 2 Gibbs Energy as a State Function f-ll~ -------RTln Xi 19 [T.

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