A 16.8 Concluding Remarks

This chapter has briefly described a series of models for gas-solid reactions. The literature contains several more and many more could be developed. It would be hard, if not impossible, to assess these models as to their respective merits since careful and detailed experimentation is seriously lagging behind. In the few cases in which it was possible to check the theoretical results with experimental data the lack of fit has mainly been ascribed to inaccuracies in the models. Insufficient attention has been devoted to the kinetic equations proper there is no reason for limiting the kinetics of the reaction between a fluid and the component of a solid to zero- or first-order expressions. 

2 Consider the general model with the reaction first-order in fluid phase concentration  

For a zero order solid concentration dependency (/(Cj) = Cjo). show that the following results are obtained  

43 (a) Derive the results of Eqs. 43-13 to 15 by directly solving the appropriate difleiential mass balances. 

4 Equation 4.3-6 related the surface rate coefficient of the shrinking core model with the volumetric rate coefficient of the general model for the special case of first order in fluid concentration and zero order in solid concentration (two-stage model). 

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Technological subdivision of the Periodic Table. As a concluding remark, we identify in the Table some classes of the most commercially important metals for which widespread common names are used. As an example, the following groups of important technological metals can be evidenced on the basis of their properties and applications (see Fig. 4.12). Notice also their clustering in the Table. 

Stability maps and correlation diagrams. As a concluding remark to some topics considered in this chapter and a recapitulation of procedures often employed in the description and classification of intermetallic systems, a little additional information about correlation diagrams is included here. 

As a concluding remark of this section, the theoretical models of nucleosynthesis within stars show that the isotopic compositions of the elements are highly variable depending on star size, metallicity, companion s presence. From the isotopic data obtained in diverse solar system materials it turns out that most of this material was highly homogenized in the interstellar medium or by the formation of the solar system. The presence of isotopic anomalies preserved in some primitive materials are the last witnesses of the initial diversity of the materials constituting our planetary system. 

Move 3, the last and most important move of the abstract (and often the longest), highlights the principal Endings of the work. Three examples are considered (P12-P14). Only the most essential or representative data are reported, including numerical values, when appropriate. (Note that numerical data should include units and standard errors or deviations. Do not omit units or error terms to conserve space.) Move 3 may also inform readers about the contents of the full article. For example, P12 informs readers that acute toxicity information for three pesticides is presented in the text. Move 3 sometimes ends with a concluding remark. In P12 and P13, the data themselves end the abstract and no summative remarks are made in P14, the authors add a concluding remark. 

As a concluding remark, it is possible to modify the nature of the fluorinated film which is formed on the surface of the carbon black by acting either on the nature of the host material or on the characteristics of the plasma. Concerning the physical properties, it can be expected that the formation of a fluorinated insulating layer on the surface of the carbon blacks increases the repulsion effect between the particles. The electrical contacts between the aggregates become therefore limited and the electrical permittivity, which primarily depends on the number of particles, should be increased. 

As a concluding remark it is pertinent to observe that proving a theory requires several physical quantities that cannot unambiguously be determined simple and accurate prediction of salting coefficients should spur further theoretical development because their predictions are only fairly accurate. It is, however, clear that the logarithm of the activity coefficients of solutes in electrolyte solutions contains a term linear in the electrolyte concentration for a single electrolyte, a mixture of two electrolytes, and a non electrolyte. Equations 2.8,2.9, and 2.10, respectively, sanction the quantitative relationships. 

As a concluding remark, we must comment on the name conmonly given to this separation strategy on the basis of the most plausible retention mechanism. Since it was confirmed that the simple fixmation of ion-pairs in an eluent does not increase but decreases analyte retmtiMi (because the analyte is withdrawn from the stationary phase into the mobile phase) [1,20], the ion-pair chrcxnatography phrase does not scan to be the best. 

As a concluding remark on this subject, we point out that the present approach rests upon the simplifying assumption that the chain rotational rearrangements may be reduced to a single, average mechanism displaying the characteristic time Tq. Reality is likely to be more complex, and the existence of a spectrum of such characteristic times should be accounted for in a more sophistieated theoretical approach. 

As a concluding remark, it has to be emphasized that every acceptable retention theory must be consistent with fundamental physics, as well as describe experimental findings. The complex multiplicity of phenomena involved in an IIC system requires a complex description of the thermodynamics solutes have undergone this description is epistemologically acceptable if the model is... 

Comparison of the SFCCCC results with other theoretical and experimental data are made. This is followed by a concluding remarks in the final section. 

As a concluding remark, it can be noted here that the presence of HA as the redox mediator could be of taxonomic value, helping to disentangle the complex classification of the genus Pycnoporus and of some others strictly related to it. 

As all the oxygen atoms are already boimd and no water molecule belongs to the ion coordination sphere, there is no structural rearrangement upon heating and the crystal structure remains unchanged upon 500 °C. At last, the optical emissions of doped isostructural compounds (Yi c Rx (btc) with / = Eu, Tb or Dy and x 2%) have been studied. Very efficient red, green and blue emission respectively have been observed. As a concluding remark, one should notice that this anhydrous phase is different from the one obtained by de-hydration of the tube-like compound previously described. 

A concluding remark for this section concerns the quaUty of the samples. In several cases sample characterization data are missing (e.g., values of lattice parameters, methods of synthesis, magnetic data), giving the unfortunate impression that when so sophisticated investigations are involved the quality of the samples does not matter ... 

As a concluding remark, we would like to note that curved mirrors used in imaging systems suffer from many of the same defects as lenses, including spherical aberration, coma, astigmatism, etc. 

As a concluding remark it may be pointed out that properties of the kind discussed above may also be investigated with other classes of fluids. Fluid salts and fluid metals can be mentioned as examples. Fig. 18 shows the specific conductance of mercury... 

As a concluding remark, let us consider the often complex aqueous solutions. In such cases there are many more methods that can be used, like those proposed by Szyszkowski (dilute aqueous solutions) and Tamura-Kurata-Odani (concentrated binary aqueous solutions). These have been presented by Reid, Prausnitz and Poling (1987). 

As a concluding remark of this section, we may assert that ... 

As a concluding remark, the deterministic nature of the success-path-based approach is emphasized, both at the individual component level (CDFM used for HCLPF estimation) and at the system modeling level (no systematic generation of minimum cutsets see the following section). 

As a concluding remark, it can be stated that our method gives pharmacists a valuable recipe on how to treat unknown polymer-plasticizer/drug systems with respect to their mixing and plasticizing properties. The benefit of the presented method is a direct reduction of time expenditure and costs, in relation to the present trial-and-error principle in dosage form development. 

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