The knowledge of phase equilibrium is essential for the planning and realisation of separation processes in chemical engineering. In this work an equipment for measurement of precise isothermal vapour–liquid equilibria (VLE) using the dynamic method was developed. The pool of experimental data for cyclohexylamine was extended significantly. Isothermal VLE were measured in 3 binary and 4 ternary systems, liquid-liquid equilibria (LLE) were measured in 4 ternary systems and in one quarternary system, in each case for two temperatures, whereas in 2 ternary systems and in the quarternary system even liquid-liquid-liquid equilibria (LLLE) occur. Furthermore, activity coefficients at infinite dilution in 4 binary systems and excess molar volumes in 7 binary systems have been estimated. Binary VLE and LLE data of the components water, octane, cyclohexylamine and aniline of this work and data from literature were fitted with the activity coefficient models NRTL and UNIQUAC, as well as with the equations of state Elliott-Suresh-Donohue (ESD) and Perturbed-Chain-Statistical Associating Fluid Theory (PC-SAFT) which contain both a term to consider explicit hydrogen bonds. In addition, the predictive capabilities of the equations of state (EoS) were investigated. With parameters obtained by simultaneous fitting of VLE and, if available, LLE data similar results with the models NRTL and UNIQUAC could be obtained. Each time the deviations for the vapour pressure were lower than 3 % and lower than 2 % in vapour phase composition. The deviations, in three out of the six systems for vapour pressure and vapour phase composition, were larger with the ESD-EoS than with the activity coefficient models. NRTL, UNIQUAC and ESD delivered similar results with the simultaneously fitted parameters for the LLE, whereas the deviations were lower than 5 %. Comparable results were delivered by the ESD-EoS and PC-SAFT for the fitting and the prediction in the investigated binary systems. Also a fitting for NRTL, UNIQUAC and ESD was carried out, but only to one data set. The intention was to show the effect of parameterization on prediction in ternary systems. Predictions were made for VLE and LLE in ternary systems of the above mentioned components, solely with interaction parameters fitted to binary data. For the models NRTL, UNIQUAC und ESD predictions of simultaneously and separately fitted parameters are presented. It is shown that with parameters simultaneously fitted to several data sets significantly better results could be obtained compared to the parameters separately fitted to a single data set. Additionally, for the equations of state ESD and PC-SAFT predictions for the LL(L)E in ternary systems are compared, but here only with separately fitted parameters. For three out of the four investigated ternary systems a too large miscibility gap is calculated with the models NRTL, UNIQUAC and ESD. In the system water+octane+aniline good results could be obtained for the prediction of the LLLE. In summary the equations of state deliver similar results. In the systems water+octane+CHA and octane+CHA+aniline also too large two phase regions were delivered. Better predictions could be obtained in the systems water+octane+aniline and water+CHA+aniline. The forecasts of the VLE in the ternary systems are good with the simultaneously fitted parameters. The deviations for the vapour phase compositions are as for the vapour pressures under 6 %. Larger deviations occur for the system water+octane+aniline only. As evaluation result for the thermodynamic models can be mentioned that the activity coefficient models NRTL and UNIQUAC deliver somewhat better results for the fitting of the binary data than the equations of state ESD and PC-SAFT however, with a larger number of adjustable parameters. The prediction of the VLE is satisfactorily in the ternary systems and with similar quality of all considered models. Larger deviations occur for the prediction of the LL(L)E in the ternary systems. The results of the ESD-EoS were, with one exception, each time better than those of the activity coefficient models. There is no significant difference between the prediction of the ternary systems for the ESD-EoS and the PC-SAFT.

Die Phasengleichgewichte (Flüssigkeit-Dampf und Flüssigkeit-Flüssigkeit) der binären, ternären und quaternären Mischungen bestehend aus Wasser, Toluen, Anilin und Cyclohexylamin wurden experimentell bestimmt und modelliert bzw. vorausberechnet. Die Bestimmung der Flüssigkeit-Dampf-Gleichgewichte erfolgte mit Hilfe der dynamischen Methode, die dafür notwendige Mess- und Regeltechnik wurde erweitert und modernisiert. Die Flüssigkeit-Flüssigkeit-Gleichgewichte wurden durch Trübungstitration und Analyse der koexistierenden Phasen bestimmt. Die Beschreibung der binären Systeme und die Vorausberechnung der Mehrkomponentensysteme erfolgte mit den Aktivitätskoeffizientenmodellen UNIQUAC und NRTL und der Zustandsgleichung, entwickelt von Elliott, Suresh und Donohue (ESD). Die ESD-Zustandsgleichung enthält neben einem Attraktions- und einem Repulsionsterm auch einen Term, der assoziative Wechselwirkungen explizit berücksichtigt. Die Beschreibung der binären Systeme gelingt mit den getesteten Modellen sehr gut. Dabei werden mit den Aktivitätskoeffizientenmodellen bessere Ergebnisse erreicht als mit der ESD-Zustandsgleichung. Diese Bild kehrt sich bei der Vorausberechnung der Mehrkomponentensysteme um. Bei Verwendung der NRTL-Gleichung treten deutlich höhere Abweichungen auf als bei Berechnungen mit der ESD-Zustandsgleichung bzw. der UNIQUAC-Gleichung. Die Erwartung durch explizite Berücksichtigung der Assoziation mit der ESD-Zustandsgleichung einen deutlichen Vorteil in der Vorhersage von Phasengleichgewichten in Systemen mit assoziierenden Komponenten zu erhalten konnte in den untersuchten Mischungen nicht eindeutig bestätigt werden. / Phase equilibria (vapor-liquid and liquid-liquid) of binary, ternary and quaternary systems consisting of water, toluene, aniline and cyclohexylamine were determined experimentally and modeled resp. predicted. Vapor-liquid equilibria were determined by the dynamic method, the necessary measuring and control systems were extended and modernized. Liquid-liquid equilibria were investigated by turbidity titration and analyses of coexisting phases. The calculation of the binary systems and the prediction of the multicomponent systems were performed with the activity coefficient models UNIQUAC and NRTL and the equation of state developed by Elliott, Suresh and Donohue (ESD). The ESD equation of state includes beside an attractive and a repulsive term a term for explicit consideration of associative interaction. The description of the binary systems succeeded very well with the tested models. Better results were achieved with the activity coefficient models than with the ESD equation of state. These findings are inversed in the case of prediction of multicomponent phase equilibria. On application of the NRTL equation the deviations are notable greater than with the ESD equation of state or the UNIQUAC equation. The expectation to get a significant advantage in prediction of phase equilibria in systems with associating components with the ESD equation of state could not be answered definitely.

Les hydrates de gaz sont une façon non conventionnelle de piéger et de stocker des molécules de gaz par cristallisation d’eau à haute pression et à basse température. Les sels d'ammonium quaternaire forment des semiclathrates hydrates à pression atmosphérique et des hydrates mixtes en présence de gaz. Il est important de connaître leurs propriétés thermodynamiques, afin d'évaluer leurs applications potentielles : une des ces-ci est la capture du dioxyde de carbone à partir des gaz de combustion. Dans nos expériences, les semiclathrates ont été fabriqués à partir de sels de peralkylammonium (TBAB, TBACl, TBAF), et de bromure de tétra-butylphosphonium (TBPB) en combinaison avec plusieurs gaz : CO2, N2, CH4. La pression de formation a été fortement réduite par rapport aux hydrates de gaz respectifs.Afin de déterminer les coefficients d'activité des hydrates en présence de sels, un modèle eNRTL a été conçue. Des systèmes comportant un sel ou deux sels ont été modélisés en présence d’hydrate de CH4 et sont en accord avec la littérature. Un système en présence de TBAB et de CH4 a été également étudié : la modélisation diffère des données expérimentales de la littérature, probablement en raison d’une structure différente. Cependant, les résultats sont prometteurs, et le modèle donne une bonne prédiction. Sur la base des résultats expérimentaux, un procédé à l'échelle pilote a été conçu. Ce nouveau procédé consiste à former des hydrates mixtes de TBAB et de CO2 dans une colonne à bulles. Les hydrates sont ensuite retirés de la colonne et après dépressurisation, les hydrates mixtes se transforment en hydrates de TBAB, libérant du CO2, qui est renvoyé à la colonne à bulles. / Gas hydrates are a non conventional way of trapping and storing gas molecules trough the crystallization of water under the high pressure and low temperature conditions. Quaternary ammonium salts form hydrates at atmospheric pressure and can also form mixed hydrates in the presence of gas. It’s important to know their thermodynamic properties in order to evaluate their potential applications: one of these applications is the capture of carbon dioxide from flue gas. The semiclathrates studied were made from peralkylamonium salts (TBAB, TBACl, TBAF) and tetrabutyl phosphonium bromide (TBPB) plus several gases: CO2, N2, and CH4. The formation pressure was greatly reduced with regards to the respective gas hydrates. An eNRTL model for determining the activity coefficients of hydrate forming systems with salts has been used. Single and double salts systems were analyzed in the presence of CH4 and the data obtained is in a good agreement with the literature. The TBAB and CH4 semiclathrates system was also investigated with the results being different of those of the literature probably due to a difference on the structure of the semiclathrate. However, the results are promising, and the model gives a good predictionBased on the experimental results, a pilot plant scale process was designed. This new process consists in forming mixed hydrates of TBAB and CO2 in a bubble column. The hydrates are then removed from the column and after expansion, the mixed hydrates transform into TBAB hydrates releasing CO2, which can be returned to the bubble column.

The knowledge of phase equilibrium is essential for the planning and realisation of separation processes in chemical engineering. In this work an equipment for measurement of precise isothermal vapour–liquid equilibria (VLE) using the dynamic method was developed. The pool of experimental data for cyclohexylamine was extended significantly. Isothermal VLE were measured in 3 binary and 4 ternary systems, liquid-liquid equilibria (LLE) were measured in 4 ternary systems and in one quarternary system, in each case for two temperatures, whereas in 2 ternary systems and in the quarternary system even liquid-liquid-liquid equilibria (LLLE) occur. Furthermore, activity coefficients at infinite dilution in 4 binary systems and excess molar volumes in 7 binary systems have been estimated. Binary VLE and LLE data of the components water, octane, cyclohexylamine and aniline of this work and data from literature were fitted with the activity coefficient models NRTL and UNIQUAC, as well as with the equations of state Elliott-Suresh-Donohue (ESD) and Perturbed-Chain-Statistical Associating Fluid Theory (PC-SAFT) which contain both a term to consider explicit hydrogen bonds. In addition, the predictive capabilities of the equations of state (EoS) were investigated. With parameters obtained by simultaneous fitting of VLE and, if available, LLE data similar results with the models NRTL and UNIQUAC could be obtained. Each time the deviations for the vapour pressure were lower than 3 % and lower than 2 % in vapour phase composition. The deviations, in three out of the six systems for vapour pressure and vapour phase composition, were larger with the ESD-EoS than with the activity coefficient models. NRTL, UNIQUAC and ESD delivered similar results with the simultaneously fitted parameters for the LLE, whereas the deviations were lower than 5 %. Comparable results were delivered by the ESD-EoS and PC-SAFT for the fitting and the prediction in the investigated binary systems. Also a fitting for NRTL, UNIQUAC and ESD was carried out, but only to one data set. The intention was to show the effect of parameterization on prediction in ternary systems. Predictions were made for VLE and LLE in ternary systems of the above mentioned components, solely with interaction parameters fitted to binary data. For the models NRTL, UNIQUAC und ESD predictions of simultaneously and separately fitted parameters are presented. It is shown that with parameters simultaneously fitted to several data sets significantly better results could be obtained compared to the parameters separately fitted to a single data set. Additionally, for the equations of state ESD and PC-SAFT predictions for the LL(L)E in ternary systems are compared, but here only with separately fitted parameters. For three out of the four investigated ternary systems a too large miscibility gap is calculated with the models NRTL, UNIQUAC and ESD. In the system water+octane+aniline good results could be obtained for the prediction of the LLLE. In summary the equations of state deliver similar results. In the systems water+octane+CHA and octane+CHA+aniline also too large two phase regions were delivered. Better predictions could be obtained in the systems water+octane+aniline and water+CHA+aniline. The forecasts of the VLE in the ternary systems are good with the simultaneously fitted parameters. The deviations for the vapour phase compositions are as for the vapour pressures under 6 %. Larger deviations occur for the system water+octane+aniline only. As evaluation result for the thermodynamic models can be mentioned that the activity coefficient models NRTL and UNIQUAC deliver somewhat better results for the fitting of the binary data than the equations of state ESD and PC-SAFT however, with a larger number of adjustable parameters. The prediction of the VLE is satisfactorily in the ternary systems and with similar quality of all considered models. Larger deviations occur for the prediction of the LL(L)E in the ternary systems. The results of the ESD-EoS were, with one exception, each time better than those of the activity coefficient models. There is no significant difference between the prediction of the ternary systems for the ESD-EoS and the PC-SAFT.

La drépanocytose, ou anémie falciforme, présente une variabilité interindividuelle considérable, conditionnée par de multiples facteurs, dynamiques et interactifs, depuis le niveau moléculaire jusqu’au niveau du patient. L’hémoglobine drépanocytaire, ou hémoglobine S (HbS, tétramère a2bS 2), est un mutant de l’hémoglobine A (a2b2) : elle possède à sa surface une valine (hydrophobe) substituant un acide glutamique natif (négativement chargé). Cette mutation entraîne l’agrégation de l’HbS désoxygénée en polymères, ainsi que l’altération des propriétés de l’érythrocyte -dont sa rhéologie et ses interactions avec les différentes cellules vasculaires. C’est pourquoi la polymérisation de l’HbS constitue un facteur étiologique clef, sinon le primum movens, de la drépanocytose, et une hypothèse thérapeutique (étayée par l’observation) postule que la réduction des fibres intra-érythrocytaires de HbS pourrait améliorer le statut clinique des patients en abaissant la fréquence et la sévérité des crises vasoocclusives. Dans l’optique de mieux comprendre et de mieux gérer la variabilité individuelle drépanocytaire, il apparaît donc indispensable de disposer, en premier lieu, d’une description réaliste de la polymérisation de l’HbS. L’objectif de ce travail de thèse est la mise en place et la validation d’un modèle mathématique de la polymérisation de l’HbS désoxygénée, en tant que processus cinétiquethermodynamique, sous l’influence de la concentration et de la température –les deux facteurs modulateurs les plus importants. A partir d’un modèle existant, mais linéaire et incomplet (Ferrone et al., 1985), nous avons procédé à son implémentation, à sa correction et à sa mise à jour, ainsi qu’à l’évaluation quantitative de ses performances dynamiques, par intégration complète et simulation numérique (Simulink©). Ceci nous a permis de réaliser un diagnostic et d’effectuer un certain nombre de raffinements, concernant en particulier (i) la voie de nucléation hétérogène (formation de néo-fibres sur les fibres préexistantes), (ii) la non-idéalité de la solution protéique de HbS, induite par le volume exclus des fibres polymères (coefficients d’activité calculé à partir de la « théorie des particules convexes »), ainsi que (iii) la structuration spatiale des polymères en domaines. Le modèle développé dans ce travail servira de base pour une description (i) de l’influence dynamique de l’oxygénation et des hémoglobines non-polymérisantes sur la polymérisation de HbS, puis (ii) des polymères de HbS sur les propriétés membranaires et rhéologiques de l’érythrocyte drépanocytaire. / Sickle cell disease pathology exhibits a strong interindividual variability, which depends upon multiple, dynamic and interacting factors, from the molecular to the patient level. Sickle hemoglobin, hemoglobin S (HbS, a2bS 2 tetramer), is a mutant of HbA (a2b2), with a surface valine (hydrophobic) substituting a native glutamic acid (negatively charged). Such a mutation endows deoxygenated HbS with the propensity to agregate into polymers, altering erythrocyte properties –including its rheology and its interactions with vascular and circulatory cells. Thus HbS polymerization is a key etiological factor of sickle cell disease, if not the primum movens. Indeed, one therapeutical hypothesis (supported by observation) postulates that the reduction of intra-erythrocytic HbS fibers could improve patients clinical status by lowering the frequency and the severity of vasooclusive crisis. In order to better understand and manage sickle cell disease variability, it is essential to have a realistic description of HbS polymerization. This work aims at developing and validating a mathematical model of deoxygenated HbS polymerization, as a kinetic and thermodynamic process under the influence of concentration and temperature –the two most important modulators. Building on an existing, but linearized and uncomplete (Ferrone et al., 1985) model, we have implemented, corrected and updated, and quantitatively evaluated its dynamical performances: this was done by full numerical integration using Simulink©. This allowed us to make several improvements, related in particular to : (i) the heterogeneous nucleation pathway (seeding and formation of new fibers from pre-existing ones), (ii) the non-ideality of the HbS protein solution, caused by polymer fibers excluded volume (activity coefficients were calculated with the CPT, Convex Particle Theory), and (iii) the spatial organization of polymers into domains. The model developped in this work will ground the description of the dynamic influence (i) oxygenation and non-polymerizing hemoglobins, (ii) HbS polymers interactions with membrane and consequences upon rheological properties of sickle cell erythrocyte.

Die experimentelle Charakterisierung von Phasengleichgewichten (Flüssigkeit-Dampf und Flüssigkeit-Flüssigkeit) erfolgte in binären und ternären Systemen aus aromatischen bzw. aliphatischen Kohlenwasserstoffen, Phenolen und Wasser. Die Trübungstitration diente der Bestimmung von Flüssigkeit-Flüssigkeit-Gleichgewichten, auftretende koexistierende flüssige Phasen wurden analytisch charakterisiert. Mit Hilfe der dynamischen Methode erfolgte die Bestimmung der Flüssigkeit-Dampf-Gleichgewichte. Die Modellierung der binären Systeme und die Vorausberechnung der ternären Systeme erfolgten mit den Aktivitätskoeffizientenmodellen NRTL und UNIQUAC. Weiterhin wurden die Berechnungen mit der von Elliott, Suresh und Donohue entwickelten Zustandsgleichung (ESD) durchgeführt, welche einen die assoziierenden Wechselwirkungen berücksichtigenden Term beinhaltet. Ferner wurden mit der Gruppenbeitragsmethode UNIFAC die untersuchten binären und ternären Systeme vorausberechnet. Beide Aktivitätskoeffizientenmodelle können bei der simultanen Modellierung der verfügbaren Phasengleichgewichtsdaten für nahezu alle betrachteten binären Systeme mit sehr guten Ergebnissen überzeugen. Bei der Modellierung mit der Zustandsgleichung ESD müssen deutlich höhere Abweichungen akzeptiert werden. Die Ergebnisse der Modellierung der binären Systeme lassen sich nicht adäquat auf die Vorausberechnung der ternären Systeme übertragen. UNIQUAC Modell und Zustandsgleichung ESD zeigen im Mittel die geringsten Unterschiede zwischen vorausberechneten und experimentellen Phasengleichgewichten. Deutlich höhere Abweichungen treten im Mittel bei Verwendung des NRTL Modells bzw. der Gruppenbeitragsmethode UNIFAC auf. Die Annahme, mit Hilfe der expliziten Berücksichtigung der Assoziation mit Zustandsgleichung ESD eine deutliche Verbesserung bei der Vorausberechnung entsprechender Phasengleichgewichten zu erzielen, konnte lediglich für Flüssigkeit-Flüssigkeit-Gleichgewichte in Systemen mit aliphatischen Kohlenwasserstoffen bestätigt werden. / The experimental characterizations of phase equilibria (vapor-liquid and liquid-liquid) were determined in binary and ternary systems containing aliphatic and aromatic hydrocarbons, phenols and water. Liquid-liquid equilibria were measured by turbidity titration. The compositions of coexisting phases were determined with analytic methods. The vapor-liquid equilibria were determined by the dynamic method. The correlation of the binary systems and the prediction of the ternary systems were performed with the activity coefficient models NRTL and UNIQUAC. Furthermore the calculations were realized with an equation of state (ESD) developed by Elliott, Suresh and Donohue, which contain a term for association. Additional predictions of investigated binary and ternary systems were performed with the group contribution method UNIFAC. Both activity coefficient models convinced with satisfactory results by the simultaneously correlation of the available equilibria data for almost all investigated binary systems. The correlations with the ESD equation of state were performed with higher deviations. A transfer of the results of the binary correlations into the ternary predictions is not possible. The UNIQUAC model and the ESD equation of state performed on average with minor deviations between predicted and experimental phase equilibria. Higher deviations were calculated using the NRTL model respectively the group contribution method UNIFAC. Only liquid-liquid equilibria in systems contain aliphatic hydrocarbons indicates improved prediction results based on the consideration of the association.

Die experimentelle Charakterisierung von Phasengleichgewichten (Flüssigkeit-Dampf und Flüssigkeit-Flüssigkeit) erfolgte in binären und ternären Systemen aus aromatischen bzw. aliphatischen Kohlenwasserstoffen, Phenolen und Wasser. Die Trübungstitration diente der Bestimmung von Flüssigkeit-Flüssigkeit-Gleichgewichten, auftretende koexistierende flüssige Phasen wurden analytisch charakterisiert. Mit Hilfe der dynamischen Methode erfolgte die Bestimmung der Flüssigkeit-Dampf-Gleichgewichte. Die Modellierung der binären Systeme und die Vorausberechnung der ternären Systeme erfolgten mit den Aktivitätskoeffizientenmodellen NRTL und UNIQUAC. Weiterhin wurden die Berechnungen mit der von Elliott, Suresh und Donohue entwickelten Zustandsgleichung (ESD) durchgeführt, welche einen die assoziierenden Wechselwirkungen berücksichtigenden Term beinhaltet. Ferner wurden mit der Gruppenbeitragsmethode UNIFAC die untersuchten binären und ternären Systeme vorausberechnet. Beide Aktivitätskoeffizientenmodelle können bei der simultanen Modellierung der verfügbaren Phasengleichgewichtsdaten für nahezu alle betrachteten binären Systeme mit sehr guten Ergebnissen überzeugen. Bei der Modellierung mit der Zustandsgleichung ESD müssen deutlich höhere Abweichungen akzeptiert werden. Die Ergebnisse der Modellierung der binären Systeme lassen sich nicht adäquat auf die Vorausberechnung der ternären Systeme übertragen. UNIQUAC Modell und Zustandsgleichung ESD zeigen im Mittel die geringsten Unterschiede zwischen vorausberechneten und experimentellen Phasengleichgewichten. Deutlich höhere Abweichungen treten im Mittel bei Verwendung des NRTL Modells bzw. der Gruppenbeitragsmethode UNIFAC auf. Die Annahme, mit Hilfe der expliziten Berücksichtigung der Assoziation mit Zustandsgleichung ESD eine deutliche Verbesserung bei der Vorausberechnung entsprechender Phasengleichgewichten zu erzielen, konnte lediglich für Flüssigkeit-Flüssigkeit-Gleichgewichte in Systemen mit aliphatischen Kohlenwasserstoffen bestätigt werden. / The experimental characterizations of phase equilibria (vapor-liquid and liquid-liquid) were determined in binary and ternary systems containing aliphatic and aromatic hydrocarbons, phenols and water. Liquid-liquid equilibria were measured by turbidity titration. The compositions of coexisting phases were determined with analytic methods. The vapor-liquid equilibria were determined by the dynamic method. The correlation of the binary systems and the prediction of the ternary systems were performed with the activity coefficient models NRTL and UNIQUAC. Furthermore the calculations were realized with an equation of state (ESD) developed by Elliott, Suresh and Donohue, which contain a term for association. Additional predictions of investigated binary and ternary systems were performed with the group contribution method UNIFAC. Both activity coefficient models convinced with satisfactory results by the simultaneously correlation of the available equilibria data for almost all investigated binary systems. The correlations with the ESD equation of state were performed with higher deviations. A transfer of the results of the binary correlations into the ternary predictions is not possible. The UNIQUAC model and the ESD equation of state performed on average with minor deviations between predicted and experimental phase equilibria. Higher deviations were calculated using the NRTL model respectively the group contribution method UNIFAC. Only liquid-liquid equilibria in systems contain aliphatic hydrocarbons indicates improved prediction results based on the consideration of the association.

Die Phasengleichgewichte (Flüssigkeit-Dampf und Flüssigkeit-Flüssigkeit) der binären, ternären und quaternären Mischungen bestehend aus Wasser, Toluen, Anilin und Cyclohexylamin wurden experimentell bestimmt und modelliert bzw. vorausberechnet. Die Bestimmung der Flüssigkeit-Dampf-Gleichgewichte erfolgte mit Hilfe der dynamischen Methode, die dafür notwendige Mess- und Regeltechnik wurde erweitert und modernisiert. Die Flüssigkeit-Flüssigkeit-Gleichgewichte wurden durch Trübungstitration und Analyse der koexistierenden Phasen bestimmt. Die Beschreibung der binären Systeme und die Vorausberechnung der Mehrkomponentensysteme erfolgte mit den Aktivitätskoeffizientenmodellen UNIQUAC und NRTL und der Zustandsgleichung, entwickelt von Elliott, Suresh und Donohue (ESD). Die ESD-Zustandsgleichung enthält neben einem Attraktions- und einem Repulsionsterm auch einen Term, der assoziative Wechselwirkungen explizit berücksichtigt. Die Beschreibung der binären Systeme gelingt mit den getesteten Modellen sehr gut. Dabei werden mit den Aktivitätskoeffizientenmodellen bessere Ergebnisse erreicht als mit der ESD-Zustandsgleichung. Diese Bild kehrt sich bei der Vorausberechnung der Mehrkomponentensysteme um. Bei Verwendung der NRTL-Gleichung treten deutlich höhere Abweichungen auf als bei Berechnungen mit der ESD-Zustandsgleichung bzw. der UNIQUAC-Gleichung. Die Erwartung durch explizite Berücksichtigung der Assoziation mit der ESD-Zustandsgleichung einen deutlichen Vorteil in der Vorhersage von Phasengleichgewichten in Systemen mit assoziierenden Komponenten zu erhalten konnte in den untersuchten Mischungen nicht eindeutig bestätigt werden. / Phase equilibria (vapor-liquid and liquid-liquid) of binary, ternary and quaternary systems consisting of water, toluene, aniline and cyclohexylamine were determined experimentally and modeled resp. predicted. Vapor-liquid equilibria were determined by the dynamic method, the necessary measuring and control systems were extended and modernized. Liquid-liquid equilibria were investigated by turbidity titration and analyses of coexisting phases. The calculation of the binary systems and the prediction of the multicomponent systems were performed with the activity coefficient models UNIQUAC and NRTL and the equation of state developed by Elliott, Suresh and Donohue (ESD). The ESD equation of state includes beside an attractive and a repulsive term a term for explicit consideration of associative interaction. The description of the binary systems succeeded very well with the tested models. Better results were achieved with the activity coefficient models than with the ESD equation of state. These findings are inversed in the case of prediction of multicomponent phase equilibria. On application of the NRTL equation the deviations are notable greater than with the ESD equation of state or the UNIQUAC equation. The expectation to get a significant advantage in prediction of phase equilibria in systems with associating components with the ESD equation of state could not be answered definitely.

In thisproject, solubility of butyl paraben in 7 puresolvents and 5 ethanol aqueous solvents has been determined at from 1 ℃to 50 ℃. Thermodynamic properties of butyl paraben have been measured by DifferentialScanning Calorimetey. Relationship between molar solubility of butyl paraben in6 pure solvents and thermodynamic properties has been analyzed. Thisrelationship suggests a method of estimating activity of solute at equilibrium fromcombining solubility data with DSC measurements. Then, activity coefficient accordingto the solubility at different temperatures can be estimated. Duringthe solubility measurements in ethanol aqueous solvents, it is found that whenbutyl paraben is added into aqueous solutions with certain proportion ethanol,solutions separates into two immiscible liquid layers in equilibrium. Water andethanol are primary in top layer, while the butyl paraben is primary in bottomlayer, but the solution turns to cloudy when two layers of solution are mixed. Theaim of this work was to present the phase behaviour of liquid-liquid-phaseseparation for (butyl paraben + water + ethanol) ternary system from 1 ℃ to 50 ℃at atmospheric pressure. Thearea of liquid-liquid-phase separation region in the ternary phase diagram increaseswith the increasing temperature from 10 ℃to 50 ℃. In thisstudy, more than several hundreds of nucleation experiments of butyl paraben havebeen investigated in ethyl acetate, propanol, acetone and 90% ethanol aqueoussolution. Induction time of butyl paraben has been determined at 3 differentsupersaturation levels in these solvents, respectively. Free energy ofnucleation, solid-liquid interfacial energy, and nuclei critical radius havebeen determined according to the classical nucleation theory. Statistical analysis ofinduction time reveals that the nucleation is a stochastic process with widevariation even at the same experiment condition. Butyl paraben nucleates most difficultlyin 90 % ethanol than in other 3 solvents, and most easily in acetone. The interfacialenergy of butyl paraben in these solvents tends to increasing with decreasemole fraction solubility in these solvents. Coolingcrystallizations with different proportions of butyl paraben, water and ethanolhave been observed by Focused Beam Reflectance Method, Parallel VirtualMachine, and On-line Infrared. The FBRM, IR curves and the PVM photos show someof the solutions appeared liquid-liquid phase separation during coolingcrystallization process. The results suggest that if solutions went throughliquid-liquid phase separation region during the cooling crystallizationprocess the distribution of crystals crystal was poor. Droplets from solutions withsame proportion butyl paraben but different proportions of water and ethanolhave been observed under microscope. Induction time of the droplets has been determinedunder the room temperature. Droplets from top layer or bottom layer of solutionwith liquid-liquid phase separation on small glass or plastic plates were alsoobserved under microscope. The microscope photos show that the opposite flows ofcloudy solution on the glass and the plastic plate before nucleation. The resultsof the cooling and evaporation crystallization experiments both revealed thatnucleation would be prevented by the liquid-liquid phase separation. / QC 20110630

The Ph.D. project compiled in this thesis has focused on the role of the solvent in solid-liquid phase equilibria and in nucleation kinetics. Six organic substances have been selected as model compounds, viz. ortho-, meta- and para-hydroxybenzoic acid, salicylamide, meta- and para-aminobenzoic acid. The different types of crystal phases of these compounds have been explored, and their respective solid-state properties have been determined experimentally. The solubility of these crystal phases has been determined in various solvents between 10 and 50 oC. The kinetics of nucleation has been investigated for salicylamide by measuring the metastable zone width, in five different solvents under different experimental conditions. A total of 15 different crystal phases were identified among the six model compounds. Only one crystal form was found for the ortho-substituted compounds, whereas the meta-isomeric compounds crystallized as two unsolvated polymorphs. The para-substituted isomers crystallized as two unsolvated polymorphs and as several solvates in different solvents. It was discovered that the molar solubility of the different crystal phases was linked to the temperature dependence of solubility. In general, a greater molar solubility corresponds to a smaller temperature dependence of solubility. The generality of this relation for organic compounds was investigated using a test set of 41 organic solutes comprising a total of 115 solubility curves. A semi-empirical solubility model was developed based on how thermodynamic properties relate to concentration and temperature. The model was fitted to the 115 solubility curves and used to predict the temperature dependence of solubility. The model allows for entire solubility curves to be constructed in new solvents based on the melting properties of the solute and the solubility in that solvent at a single temperature. Based on the test set comprising the 115 solubility curves it was also found that the melting temperature of the solute can readily be predicted from solubility data in organic solvents. The activity of the solid phase (or ideal solubility) of four of the investigated crystal phases was determined within a rigorous thermodynamic framework, by combining experimental data at the melting temperature and solubility in different solvents and temperatures. The results show that the assumptions normally used in the literature to determine the activity of the solid phase may give rise to errors up to a factor of 12. An extensive variation in the metastable zone width of salicylamide was obtained during repeated experiments performed under identical experimental conditions. Only small or negligible effects on the onset of nucleation were observed by changing the saturation temperature or increasing the solution volume. The onset of nucleation was instead considerably influenced by different cooling rates and different solvents. A correlation was found between the supersaturation ratio at the average onset of nucleation and the viscosity of the solvent divided by the solubility of the solute. The trends suggest that an increased molecular mobility and a higher concentration of the solute reduce the metastable zone width of salicylamide. / QC 20100831