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

By N. D. Chatterjee

Thermodynamic therapy of mineral equilibria, an issue critical to mineralogical thermodynamics, should be traced again to the tum of the century, whilst J. H. Van't Hoff and his affiliates pioneered in utilizing thermodynamics to the mineral assemblages saw within the Stassfurt salt deposit. even if different well known researchers joined forces to strengthen the topic - H. E. Boeke even attempted to popularize it via giving an outline of the early advancements in his "Grundlagen der physikalisch-chemischen Petrographie", Berlin, 1915 - it remained, frequently, an esoteric topic for almost all of the modern geological group. obvious that manner, mineralogical thermodynamics got here of age over the past 4 a long time, and advanced very swiftly right into a mainstream self-discipline of geochemistry. It has contributed vastly to our knowing of the section equilibria of mineral platforms, and has helped placed mineralogy and petrology on an organization quantitative foundation. within the wake of those advancements, educational curricula now require the scholars of geology to take a direction in easy thermodynamics, regularly provided by means of the departments of chemistry. construction on that origin, a supplementary direction is usually provided to familiarize the scholars with different mineralogical purposes of thermo­ dynamics. This booklet attracts from the author's event in giving this kind of direction, and has been adapted to cater to those that have had a prior publicity to the elemental thoughts of chemical thermodynamics.

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4), adiabatic calorimetry is used for measuring COp(T) in the "low-temperature" range, which is below 350 K. To accomplish this, an adiabatically shielded (that is, guaranteeing a negligible heat exchange with the surroundings) calorimeter is precooled to some desired initial temperature by an appropriate liquefied gas. The heat capacity of the sample is then measured by monitoring at short intervals the temperature increment of the sample in the calorimeter in response to a known amount of heat input.

80) V}g =0. Consequently, any solution with nonzero Hm or V m must be a nonideal solution. 6 Excess Molar Properties of Mixing An excess molar property of mixing is the difference between the actual property and that of the ideal solution. Alternatively, it may be defined as Y m - yidm. 71a) Y denoting any molar property of a real solution. Thus, yexm is a measure of the deviation of a real solution from its hypothetical ideal behavior. Applying this general relation to Gibbs energy, Gex + X2gex m = G - Gid = G m - Gid m = (l-X2)gexl ~ ~2 = RT[(1-X2)lnYl + X2lnY2].

Note that HOT-Ho298 shows an inflection at 844 K, the T tr, typical of a higher-order phase transition. Given such a phase transition, Robie et al. (1979) obtained two COp(T) functions, one each for low- and high-quartz. These Co peT) data are shown by the dashed lines in the upper diagram; note the sharp discontinuity (dotted line) between the two at T tr. The area between the true COp(T) curve (shown as a solid line) and the base lines (the dashed lines) yields ~HIr' which is 3) Ghiorso et al.

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