Thermodynamic property estimations

THERM Thermodynamic Property Estimation for Radicals and Molecules, Edward R. Ritter and Joseph Bozzelli, Int. J. Chem. Kinet. 23, 767-778, (1991). A computer program for IBM PC and compatibles for estimating, editing, and entering thermodynamic property data for gas-phase radicals and molecules using Benson s group additivity method. 

According to the assessment of the phase diagram information by Romermann et al. [2000ROM/FEU], Tl2Se3(cr) probably does not exist and the thermodynamic properties estimated by Mills [74MIL] and reported by Terpilowski, Zaleska, and Gawel [68TER/ZAL] are therefore irrelevant. 

LEE) equilibrium, enthalpy calculations, and other thermodynamic property estimations are available. 

The Monte Carlo approach, although much slower than the Hybrid method, makes it possible to address very large systems quite efficiently. It should be noted that the Monte Carlo approach gives a correct estimation of thermodynamic properties even though the number of production steps is a tiny fraction of the total number of possible ionization states. 

Investigations to find such additive constituent properties of molecules go back to the 1920s and 1930s with work by Fajans [6] and others. In the 1940s and 1950s lhe focus had shifted to the estimation of thermodynamic properties of molecules such as heat of formation, AHf, entropy S°, and heat capacity, C°. 

Adiabatic flame temperatures agree with values measured by optical techniques, when the combustion is essentially complete and when losses are known to be relatively small. Calculated temperatures and gas compositions are thus extremely useful and essential for assessing the combustion process and predicting the effects of variations in process parameters (4). Advances in computational techniques have made flame temperature and equifibrium gas composition calculations, and the prediction of thermodynamic properties, routine for any fuel-oxidizer system for which the enthalpies and heats of formation are available or can be estimated. 

AH the foregoing faciUties form part of the spectmm of options that, in addition to the permanent system data bank, enable the engineer to get the most out of a flow-sheeting system. The following Hst shows the physical properties that are often required for process simulation. The methods of estimating these properties, when direct measurements are not available, are indicated in the references following the properties (also see Thermodynamic properties). 

Table l.Estimated Thermodynamic Properties of Various Substances at Standard Conditions... 

The thermodynamic properties of mixtures of fluids are usually not known. A crude estimate of a mixture s internal energy can be made by summing the internal energy of each component. 

The thermodynamic properties of thiophene,2-methylthiophene, ° and 3-methylthiophene have been computed from careful measurements of the heat capacity of the solid, liquid, and vapor states, the heat of fusion, the heat of vaporization, and the heat of combustion. From the heat of combustion of thiophene and from thermochemical bond energies, the resonance energy of thiophene has been re-estimated to be only 20 kcal/mole. 

The influence of barriers on thermodynamic properties must have importance in determining the rates of various chemical reactions. It seems certain that the activated complex for many reactions will involve the possibility of restricted rotation and that the thermodynamic properties of the complex will therefore be in part determined by the magnitude of the barriers. Whereas at the moment there is no direct way of determining such barriers, any general principles obtained for stable molecules should ultimately be applicable to the activated state. One might then hope to be able to estimate the barriers and the reaction rates a priori. 

In addition to deciding on the method of normalization of activity coefficients, it is necessary to undertake two additional tasks first, a method is required for estimating partial molar volumes in the liquid phase, and second, a model must be chosen for the liquid mixture in order to relate y to x. Partial molar volumes were discussed in Section IV. This section gives brief attention to two models which give the effect of composition on liquid-phase thermodynamic properties. 

Estimation of parameters. Model parameters in the selected model are then estimated. If available, some model parameters (e.g. thermodynamic properties, heat- and mass-transfer coefficient, etc.) are taken from literature. This is usually not possible for kinetic parameters. These should be estimated based on data obtained from laboratory expieriments, if possible carried out isothermal ly and not falsified by heat- and mass-transport phenomena. The methods for parameter estimation, also the kinetic parameters in complex organic systems, and for discrimination between models are discussed in more detail in Section 5.4.4. More information on parameter estimation the reader will find in review papers by Kittrell (1970), or Froment and Hosten (1981) or in the book by Froment and Bischoff (1990). 

Many kinetic data can be collected from ARC experiments the exothermic onset temperature, the rate of temperature rise, the rate of pressure rise, and the apparent activation energy. The basic data obtained are, however, thermodynamic properties the adiabatic temperature rise, the maximum pressure potential, the quantity of gaseous products generated, and the heat of reaction can be obtained in one run. The heat of reaction is estimated from ... 

Langmuir, D., Techniques of estimating thermodynamic properties for some aqueous complexes of geochemical interest, in Chemical Modeling in Aqueous Systems Speciation, Sorption, Solubility and Kinetics, Jenne, E.A., Ed., ACS Symposium, American Chemical Society, Washington, DC, 1979, pp. 353-387. 

G. J. Janz, Estimation of Thermodynamic Properties of Organic Compounds, Academic Press, New York, 1958. 

A method for the estimation of thermodynamic properties of the transition state and other unstable species involves analyzing parts of the molecule and assigning separate properties to functional groups (Benson, 1976). Another approach stemming from statistical mechanics is outlined in the next section. 

Quantitative estimates of E are obtained the same way as for the collision theory, from measurements, or from quantum mechanical calculations, or by comparison with known systems. Quantitative estimates of the A factor require the use of statistical mechanics, the subject that provides the link between thermodynamic properties, such as heat capacities and entropy, and molecular properties (bond lengths, vibrational frequencies, etc.). The transition state theory was originally formulated using statistical mechanics. The following treatment of this advanced subject indicates how such estimates of rate constants are made. For more detailed discussion, see Steinfeld et al. (1989). 

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