Thermometric titrations applications

Various important applications of thermometric titrations are enumerated below ... 

Interest in the use of calorimetry as a routine diagnostic or analysis tool has gained significant momentum only in the last 50 years. This interest has lead to the development of popular procedures such as differential thermal analysis (DTA) and differential scanning calorimetry (DSC). A wide variety of solution calorimetric techniques exist today. These techniques include thermometric titration, injection and flow emhalpimetry. The major growth of commercial instrumentation for calorimetry has occurred to address applications in routine analysis and the rapid characLerizaiion of materials. 

Khalaf, K.Y., MacCarthy, P., and Gilbert, T.W, Application of thermometric titrations to the study of soil organic matter-II. Humic acids. Geoderma 14, 331-340 (1975). 

DIE may be used for the same applications as discussed for thermometric titrations, for example, for the volumetric analysis of materials, such as boric acid, which are virtually impossible to titrate using endpoint indicators or pH indicators. DIE can also be used in biological studies where the reaction rates may be slow. Eor example, proteins have been titrated with acid or base, antibodies have been titrated with antigen, and enzyme-coenzyme systems have been studied. DIE is used to determine kinetic parameters for slow reactions. The use of a large excess of one reactant (the titrant) favors the forward reaction (according to Le Chatelier s principle) even if the equilibrium constant is small, so equilibria may be studied using DIE that cannot be studied using other titrimetric methods. 

Several papers have appeared within the last several years describing the application of thermometric titrations for silicate analysis (11). The instrumentation is less expensive than spectrometers but has not yet received widespread use in the U.S. silicate industry. However, somewhat analogous procedures are commonplace for analysis of caustic and alumina in the Bayer process streams of the aluminum industry (12). 

Nearly all chemical sensors useful for liquid samples can be utiUzed to indicate titrations. Besides the preferred potentiometric, other electrochemical probes are also used, mainly amperometric and conductometric sensors. The so-called biamperometric titration works with simple wire pairs. Photometric and thermometric indication techniques are less common than electrochemical methods. Miniaturization does not play an important role for titration probes. Classical arrangements predominate to this day. Commercial titration instruments are only slowly starting to make use of the achievements of modern sensor technology. As an example, optodes have achieved a certain popularity in recent years for titration applications. 

When the time constants r and r" and T(t) are known, it is possible to determine the T (t) and T"(t) values consecutively, and thus P(t). The numerical differential correction method has also been applied to reproduce the thermokinetics in these calorimetric systems, in which time constant vary in time [258-264], such as the TAM 2977 titration microcalorimeter produced by Thermometric. These works extended the applications of the inverse filter method to linear systems with variable coefficients. In many cases [258-262], as in the multidomains method, as a basis of consideration the mathematical models used were particular forms of the general heat balance equation. 

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