Description of 90 inbred lines of castor plant (Ricinus communis L.)

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Envelhecimento acelerado em diásporos de Oenocarpus bacaba (Arecaceae)

O objetivo do presente trabalho foi adequar o teste de envelhecimento acelerado para avaliar a qualidade fisiológica de diásporos de Oenocarpus bacaba Mart. (bacaba). Inicialmente, os diásporos foram expostos às temperaturas de 41; 43 e 45 ºC, durante 3; 6; 12; 24; 36; 48 e 72 h, com cerca de 100% de umidade relativa do ar. Foram considerados dois critérios de germinação: emissão da primeira bainha igual ou superior a 1cm e plântula normal. o teste de germinação foi realizado com 6 repetições de 20 diásporos, em temperatura de 30 ºC e fotoperíodo de 12 h. Pelos resultados preliminares, observou-se que os lotes de diásporos de bacaba podem ser separados em níveis de vigor por meio do envelhecimento acelerado, em 43ºC e com cerca de 100% de umidade relativa do ar, por 48 h. os quatro lotes de diásporos foram então submetidos, num segundo experimento, a 43 ºC por 24; 48 e 72 h, sendo adotada como critério de germinação a emissão de primeira bainha. em 45 ºC, a porcentagem de germinação foi drasticamente reduzida após 12 h. Não houve diferenças significativas entre os critérios de germinação utilizados. Os lotes de diásporos foram separados em diferentes níveis de vigor após 48 e 72 h de exposição a 43 ºC. de acordo com os resultados obtidos, sugere-se o uso de primeira bainha como critério de germinação e período de envelhecimento de 48 h a 43 ºC, para a avaliação da qualidade fisiológica de diásporos de bacaba.

Rice husk derived waste materials as partial cement replacement in lightweight concrete

In this study rice husk ash (RHA) and broiler bed ash from rice husk (BBA), two agricultural waste materials, have been assessed for use as partial cement replacement materials for application in lightweight concrete. Physical and chemical characteristics of RHA and BBA were first analyzed. Three similar types of lightweight concrete were produced, a control type in which the binder was just CEMI cement (CTL) and two other types with 10% cement replacement with, respectively, RHA and BBA. All types of similar lightweight concrete were prepared to present the same workability by adjusting the amount of superplasticizer. Properties of concrete investigated were compressive and flexural strength at different ages, absorption by capillarity, resistivity and resistance to chloride ion penetration (CTH method) and accelerated carbonation. Test results obtained for 10% cement replacement level in lightweight concrete indicate that although the addition of BBA conducted to lower performance in terms of the degradation indicative tests, RHA led to the enhancement of mechanical properties, especially early strength and also fast ageing related results, further contributing to sustainable construction with energy saver lightweight concrete.

Postural control in elderly women with osteoporosis: comparison of balance, strengthening and stretching exercises. A randomized controlled trial

Objective: To compare the efficacy of balance training associated with muscle strengthening or stretching, relative to no intervention, in the postural control of elderly women with osteoporosis. Design: A randomized, controlled trial. Subjects and interventions: Sample consisted of 50 women aged 65 years or older, with osteoporosis, randomized into one of three groups: strengthening group (n = 17) performed balance training with muscle strengthening; stretching group (n = 17) performed balance training with stretching; and control group (n = 16), no activities. Interventions lasted eight weeks, twice a week, 60 minutes a day. Main measures: Postural control was evaluated by the modified Clinical Test of Sensory Interaction for Balance (CTSIBm) and Limits of Stability Test. Strength was assessed by dynamometry and the shortening of the hamstrings by goniometry. Results: Relative to controls, participants in the strengthening group displayed significantly increased dorsiflexion strength and knee flexion strength, as well as centre of pressure velocity, directional control, and oscillation velocity (CTSIBm test). The stretching group had significantly improvements in hamstring length, knee flexion strength, centre of pressure velocity, and amplitude of movements. Relative to the stretching group, the strengthening group yielded better knee extension strength and directional control. Conclusion: The results suggest that both interventions are effective in improving postural control when compared to the control group, and the strengthening group was superior to the stretching group in knee extension strength and in directional control.

WOOD NATURAL RESISTANCE OF SEVEN FOREST SPECIES TO WHITE ROT CAUSED BY Pycnoporus sanguineus

This research evaluated the natural resistance of Platanus x acerifolia, Luehea divaricate, Carya illinoinensis, Peltophorum dubium, Araucaria angustifolia, Eucalyptus grandis and Hovenia dulcis, to accelerated decay of the white-rot fungus Pycnoporus sanguineus. The Specific Density at 12% was determinated. The accelerated decay test was conducted with glass bottles (capacity of 500 mL) filled with 100 g of moist soil, autoclaved, and kept at 25 degrees C. The initial establishment of fungal colonies on plates was supported by samples of Pinus elliottii sapwood. In this study, three samples of dimensions 9.0 x 25.0 x 25.0 mm were used for each species evaluated and, after 16 weeks of incubation, the percentage loss of mass was calculated. The degree of natural resistance was performed according to the percentages of mass loss. The results obtained from weight loss were compared by Tukey test at 5%. The natural resistance of woods was not influenced by specific gravity The wood of Carya illinoinensis, Eucalyptus grandis, Platanus x acerifolia, Luehea divaricata and Peltophorum dubium were classified as very resistant, Houvenia dulcis as resistant and Araucaria angustifolia as moderate resistant.

Hydric restriction as vigor assessment method of soybean seeds

The objective of this study was to investigate the possibility of using hydric restriction as a method for evaluating vigor of soybean seeds. The soybean seeds, cultivar BRS 245RR, represented by four different seed lots, were characterized by germination and vigor. For the treatment of hydric restriction and temperature, the combination of substrate water potential and temperature were the following: deionized water (0.0 MPa); polyethylene glycol (PEG 6000) aqueous solution (-0.1, -0.3 and -0.5 MPa); and four temperatures (20 ºC, 25 ºC, 30 ºC, and 35 ºC), respectively. A completely randomized experimental design was used, with four replications per treatment, and the ANOVA was performed individually for each combination of temperature and water potential of substrate. According to results obtained, the test of hydric restriction has the same efficiency of the accelerated aging test in estimating vigor of soybean seeds, cv. BRS 245RR, when water potentials of -0.1 MPa or -0.3 MPa at a temperature of 25 ºC, or -0.3 MPa at a temperature of 30 ºC are used.

Rice husk derived waste materials as partial cement replacement in lightweight concrete

In this study rice husk ash (RHA) and broiler bed ash from rice husk (BBA), two agricultural waste materials, have been assessed for use as partial cement replacement materials for application in lightweight concrete. Physical and chemical characteristics of RHA and BBA were first analyzed. Three similar types of lightweight concrete were produced, a control type in which the binder was just CEMI cement (CTL) and two other types with 10% cement replacement with, respectively, RHA and BBA. All types of similar lightweight concrete were prepared to present the same workability by adjusting the amount of superplasticizer. Properties of concrete investigated were compressive and flexural strength at different ages, absorption by capillarity, resistivity and resistance to chloride ion penetration (CTH method) and accelerated carbonation. Test results obtained for 10% cement replacement level in lightweight concrete indicate that although the addition of BBA conducted to lower performance in terms of the degradation indicative tests, RHA led to the enhancement of mechanical properties, especially early strength and also fast ageing related results, further contributing to sustainable construction with energy saver lightweight concrete.

Calculation of the eigenfunctions of the two-group neutron diffusion equation and application to modal decomposition of BWR instabilities

In this thesis, numerical methods aiming at determining the eigenfunctions, their adjoint and the corresponding eigenvalues of the two-group neutron diffusion equations representing any heterogeneous system are investigated. First, the classical power iteration method is modified so that the calculation of modes higher than the fundamental mode is possible. Thereafter, the Explicitly-Restarted Arnoldi method, belonging to the class of Krylov subspace methods, is touched upon. Although the modified power iteration method is a computationally-expensive algorithm, its main advantage is its robustness, i.e. the method always converges to the desired eigenfunctions without any need from the user to set up any parameter in the algorithm. On the other hand, the Arnoldi method, which requires some parameters to be defined by the user, is a very efficient method for calculating eigenfunctions of large sparse system of equations with a minimum computational effort. These methods are thereafter used for off-line analysis of the stability of Boiling Water Reactors. Since several oscillation modes are usually excited (global and regional oscillations) when unstable conditions are encountered, the characterization of the stability of the reactor using for instance the Decay Ratio as a stability indicator might be difficult if the contribution from each of the modes are not separated from each other. Such a modal decomposition is applied to a stability test performed at the Swedish Ringhals-1 unit in September 2002, after the use of the Arnoldi method for pre-calculating the different eigenmodes of the neutron flux throughout the reactor. The modal decomposition clearly demonstrates the excitation of both the global and regional oscillations. Furthermore, such oscillations are found to be intermittent with a time-varying phase shift between the first and second azimuthal modes.

Statistical Calculation of the Main Reliability Functions of GaAs Concentrator III-V Solar Cells

This paper presents some of the results of a method to determine the main reliability functions of concentrator solar cells. High concentrator GaAs single junction solar cells have been tested in an Accelerated Life Test. The method can be directly applied to multi-junction solar cells. The main conclusions of this test carried out show that these solar cells are robust devices with a very low probability of failure caused by degradation during their operation life (more than 30 years). The evaluation of the probability operation function (i.e. the reliability function R(t)) is obtained for two nominal operation conditions of these cells, namely simulated concentration ratios of 700 and 1050 suns. Preliminary determination of the Mean Time to Failure indicates a value much higher than the intended operation life time of the concentrator cells.

Advances in the modeling, characterization and reliability of concentrator multijunction solar cells

Los sistemas de concentración fotovoltaica (CPV) parecen ser una de las vías más prometedoras para generar electricidad a gran escala a precios competitivos. La investigación actual se centra en aumentar la eficiencia y la concentración de los sistemas para abaratar costes. Al mismo tiempo se investiga sobre la fiabilidad de los diferentes componentes que integran un sistema de concentración, ya que para que los sistemas de concentración sean competitivos es necesario que tengan una fiabilidad al menos similar a los sistemas basados en células de silicio. En la presente tesis doctoral se ha llevado a cabo el estudio de aspectos avanzados de células solares multi-unión diseñadas para trabajar a concentraciones ultra-altas. Para ello, se ha desarrollado un modelo circuital tridimensional distribuido con el que simular el comportamiento de las células solares triple-unión bajo distintas condiciones de funcionamiento, así mismo se ha realizado una caracterización avanzada de este tipo de células para comprender mejor su modo de operación y así poder contribuir a mejorar su eficiencia. Finalmente, se han llevado a cabo ensayos de vida acelerados en células multiunión comerciales para conocer la fiabilidad de este tipo de células solares. Para la simulación de células solares triple-unión se ha desarrollado en la presente tesis doctoral un modelo circuital tridimensinal distribuido el cuál integra una descripción completa de la unión túnel. De este modo, con el modelo desarrollado, hemos podido simular perfiles de luz sobre la célula solar que hacen que la densidad de corriente fotogenerada sea mayor a la densidad de corriente pico de la unión túnel. El modelo desarrollado también contempla la distribución lateral de corriente en las capas semiconductoras que componen y rodean la unión túnel. Por tanto, se ha podido simular y analizar el efecto que tiene sobre el funcionamiento de la célula solar que los concentradores ópticos produzcan perfiles de luz desuniformes, tanto en nivel de irradiancia como en el contenido espectral de la luz (aberración cromática). Con el objetivo de determinar cuáles son los mecanismos de recombinación que están limitando el funcionamiento de cada subcélula que integra una triple-unión, y así intentar reducirlos, se ha llevado a cabo la caracterización eléctrica de células solares monouni ón idénticas a las subcelulas de una triple-unión. También se ha determinado la curva corriente-tensión en oscuridad de las subcélulas de GaInP y GaAs de una célula dobleunión mediante la utilización de un teorema de reciprocidad electro-óptico. Finalmente, se ha analizado el impacto de los diferentes mecanismos de recombinación en el funcionamiento de la célula solar triple-unión en concentración. Por último, para determinar la fiabilidad de este tipo de células, se ha llevado a cabo un ensayo de vida acelerada en temperatura en células solares triple-unión comerciales. En la presente tesis doctoral se describe el diseño del ensayo, el progreso del mismo y los datos obtenidos tras el análisis de los resultados preliminares. Abstract Concentrator photovoltaic systems (CPV) seem to be one of the most promising ways to generate electricity at competitive prices. Nowadays, the research is focused on increasing the efficiency and the concentration of the systems in order to reduce costs. At the same time, another important area of research is the study of the reliability of the different components which make up a CPV system. In fact, in order for a CPV to be cost-effective, it should have a warranty at least similar to that of the systems based on Si solar cells. In the present thesis, we will study in depth the behavior of multijunction solar cells under ultra-high concentration. With this purpose in mind, a three-dimensional circuital distributed model which is able to simulate the behavior of triple-junction solar cells under different working conditions has been developed. Also, an advanced characterization of these solar cells has been carried out in order to better understand their behavior and thus contribute to improving efficiency. Finally, accelerated life tests have been carried out on commercial lattice-matched triple-junction solar cells in order to determine their reliability. In order to simulate triple-junction solar cells, a 3D circuital distributed model which integrates a full description of the tunnel junction has been developed. We have analyzed the behavior of the multijunction solar cell under light profiles which cause the current density photo-generated in the solar cell to be higher than the tunnel junction’s peak current density. The advanced model developed also takes into account the lateral current spreading through the semiconductor layers which constitute and surround the tunnel junction. Therefore, the effects of non-uniform light profiles, in both irradiance and the spectral content produced by the concentrators on the solar cell, have been simulated and analyzed. In order to determine which recombination mechanisms are limiting the behavior of each subcell in a triple-junction stack, and to try to reduce them when possible, an electrical characterization of single-junction solar cells that resemble the subcells in a triplejunction stack has been carried out. Also, the dark I-V curves of the GaInP and GaAs subcells in a dual-junction solar cell have been determined by using an electro-optical reciprocity theorem. Finally, the impact of the different recombination mechanisms on the behavior of the triple-junction solar cell under concentration has been analyzed. In order to determine the reliability of these solar cells, a temperature accelerated life test has been carried out on commercial triple-junction solar cells. In the present thesis, the design and the evolution of the test, as well as the data obtained from the analysis of the preliminary results, are presented.

Asociación entre caracteres biométricos y calidad fisiológica en semillas de tomate (Solanum lycopersicum L.)

La clasificación de las semillas de especies olerícolas se realiza principalmente por peso y tamaño, con criterios similares a los aplicados en cereales y leguminosas, en que se asocia positivamente estos atributos físicos con la calidad fisiológica. No obstante lo anterior, en diversas especies de hortalizas la información es escasa y contradictoria al respecto, lo que motiva la realización de la presente investigación. En semillas de tomate (Solanum lycopersicum L.) se determinó el efecto del peso y tamaño sobre la calidad fisiológica expresada como germinación y vigor. Además, se correlacionaron los resultados de las pruebas de evaluación de calidad fisiológica y se describieron variables del crecimiento y desarrollo. Se utilizaron lotes de diferentes variedades de semillas híbridas de cuatro temporadas, producidas en un clima templado cálido con lluvias invernales y estación seca prolongada (32º 54’ y 34° 21´ latitud Sur). Se midió peso y tamaño de semillas, además en dos temporadas se evaluaron las características internas de área y peso de embrión y área de endospermo. Se determinó la calidad de las semillas con la prueba de germinación y según fuera el año de estudio se midió vigor con las pruebas de envejecimiento acelerado, de plantas útiles al trasplante y de plántulas emergidas. Con análisis de imágenes y rayos X se extrajeron datos del tamaño externo e interno de las semillas y plántulas. Los lotes se compararon mediante análisis de varianza y las medias con la prueba de Tukey, la asociación entre dos variables se determinó con correlaciones de Pearson, las variables de peso y tamaño de la semilla y su relación con las pruebas de calidad, se analizaron mediante regresiones múltiples. Se utilizó un nivel de significación de 0,05 de probabilidad. Los resultados indicaron que el tamaño y no el peso de las semillas de tomate, diferenciaron calidad entre lotes en las diversas variedades. La prueba de germinación tuvo una baja sensibilidad para discriminar lotes, además de una escasa correlación con las características físicas de las semillas, cuando hubo asociación, la relación fue débil y negativa. La prueba de vigor de envejecimiento acelerado diferenció lotes y presentó escasa asociación con las características físicas de las semillas. El número de semillas germinadas en la prueba de envejecimiento acelerado se explicó por el efecto del tamaño de las semillas, mientras que las fracciones de descarte se asociaron con el peso de las mismas. La prueba de vigor de plantas útiles al trasplante no discriminó entre lotes. Tuvo una asociación débil con el peso y tamaño de las semillas. El modelo asociado a esta relación explicó con un alto coeficiente de determinación que el peso de la semilla influyó sobre la emergencia temprana, mientras que la relación fue menor y negativa con plantas de mayor desarrollo. La prueba de vigor de plántulas emergidas discriminó lotes de semillas con plántulas de 3 a 5 días después de siembra. Hubo escasa y débil asociación entre esta prueba y las características de peso y tamaño las semillas. El modelo de predicción de plántulas emergidas fue particular en cada temporada, cuando hubo un coeficiente de determinación alto influyó negativamente el peso o tamaño de la semilla. Entre las pruebas de calidad fisiológica evaluadas en semillas de tomate hubo escasas correlaciones significativas. Entre germinación y vigor las correlaciones significativas fueron débiles y sólo se encontraron en algunas temporadas de evaluación. Entre las pruebas de vigor no hubo asociación. En las pruebas de vigor de plantas útiles al trasplante y de plántulas emergidas, los cotiledones alcanzaron el mayor porcentaje de materia seca y se correlacionaron fuertemente con la materia seca total. En la prueba de plántulas emergidas la materia seca de las radículas diferenció parcialmente lotes de semillas al igual que la longitud total y de las radículas. La longitud de la radícula se correlacionó fuertemente con la longitud total de plántulas. ABSTRACT Seed selection for olericultural species is mainly carried out considering weight and size with similar criteria to those applied in cereals and legumes where size and physiological quality are favorably associated. However, information about several species is limited and contradictory regarding the above, leading to the present research. In tomato (Solanum lycopersicum L.) seeds, the effect of weight and size on the physiological quality expressed as germination and vigor was determined. In addition, results of quality evaluation tests were correlated and variables of growth and development were described. Batches of hybrid seeds from four seasons were used. These seeds were produced in a mild warm climate with winter rainfalls and long dry season (32º 54’ and 34° 21´South Latitude). Seed weight and size were determined, additionally internal characteristics such as embryo area and weight as well as endosperm area were evaluated in two seasons. The quality of seeds was established using the germination test and, depending on the year of the study, vigor was measured through accelerated aging tests for plants useful for transplanting and emerged seedlings. Using imaging analysis and X rays, data regarding external and internal size of seeds and seedlings were obtained. Batches were compared through ANOVA and means using Tukey’s test; the association between both variables was determined with Pearson correlations, whereas variables of seed weight and size and their relation to quality tests were analyzed through multiple regressions. A significance level of 0.05 probability was used. Results showed that the size (but not the weight) of tomatoes differentiates quality between batches from several seasons. The germination test was not sensitive enough to discriminate batches in addition to having a limited correlation with the characteristics of seeds, when they were associated, the relation was weak and unfavorable. Vigor test for accelerated aging made the difference between batches and presented low association with physical characteristics of the seeds. The number of germinated seeds in the accelerated aging test was explained by the effect of the seed size, whereas cull fractions were associated with their weight. The vigor test of plants useful for transplanting did not discriminate between batches. The association with seed weight and size was weak. The model associated to this relation explained, with a high coefficient determination, that the seed weight had influence on early emergence, whereas the relation was minor and unfavorable with more developed plants. Vigor test of emerged seedlings discriminated batches of seeds with seedlings of 3 to 5 days after sowing. There was a limited and weak association between this test and the characteristics of seed weight and size. The prediction model for seedlings emerged was particular in each season, when the determination coefficient was high, seed weight and size influenced negatively. Among the physiological quality tests evaluated in tomato seeds, significant correlations were negligible. Between germination and vigor, significant correlations were poor, being only found in some evaluation seasons. There was no association in the vigor tests. In vigor tests for plants useful for transplanting and emerged seedlings, cotyledons reached the highest percentage of dry matter and were strongly correlated with total dry matter. In the test of emerged seedlings, dry matter of radicles partially differentiated batches of seeds as well as total length and radicles. Radicle length was strongly correlated with total seedlings length.

Painéis de partículas homogêneas cimento-bagaço de cana-de-açúcar curados por carbonatação acelerada

O presente estudo teve como objetivo produzir e avaliar o desempenho de painéis de partículas homogêneas de cimento-bagaço de cana-de-açúcar curados por carbonatação acelerada. Para atingir os resultados foram realizados ensaios de caracterizações morfológica e físico-química das partículas de bagaço de cana-de-açúcar, bem como ensaio de termometria para identificar a compatibilidade da matéria prima (bagaço) com o cimento. Os painéis de partículas cimento-bagaço produzidos foram submetidos a dois processos de cura distintos: 1- cura por 48 h em câmara climática, seguida por 24 h em ambiente com concentração de 15% ±0.6 de CO2, seguida por 24 dias em ambiente saturado ao ar; 2- cura em câmara climática por 48 h, seguida por 25 dias em ambiente saturado ao ar. Ao final dos 28 dias de cura e após ensaio de envelhecimento acelerado de imersão e secagem foram realizadas as caracterizações físico-mecânicas seguindo as recomendações das normativas DIN: 310; 322 e 323, bem como caracterização microestrutural e de condutividade térmica do painel de partículas cimento-bagaço. Os resultados obtidos indicaram que os painéis de partículas cimento-bagaço curados por carbonatação acelerada apresentaram melhor desempenho físico-mecânico quando comparados aos painéis não carbonatados, pois a carbonatação melhorou a interface entre as partículas e a matriz cimentícia, proporcionando maior adesividade entre as fases. E, além disso, reduziu o pH do meio alcalino em que as partículas de bagaço de cana-de-açúcar estão inseridas, minimizando o processo de degradação da lignina, celulose e hemicelulose.

É possível determinar a maturidade fisiológica das sementes de milho (Zea mays) utilizando o sal de tetrazólio?

Nessa pesquisa foi avaliada a utilização do sal de tetrazólio para determinar a maturidade fisiológica das sementes de milho. As sementes utilizadas foram dos híbridos Pioneer 4285 e Dow 2B587, semeadas em 03/10/2014 e 05/12/2014 respectivamente, e colhidas a partir dos 40 dias após o florescimento (DAF), com intervalos de 4 dias até os 68 DAF. As sementes colhidas foram avaliadas quanto à viabilidade e ao vigor (testes de germinação, de emergência da plântula, de condutividade elétrica, de envelhecimento acelerado e determinações do comprimento da plântula). Os parâmetros utilizados para determinar o ponto de maturidade fisiológica das sementes foram a camada preta, a linha de leite, a massa de matéria seca, o teor de água e a avaliação dos tecidos da semente utilizando o sal de tetrazólio, utilizando o método descrito para avaliar a viabilidade, complementado pela avaliação da atividade das células da chalaza e da zona de transferência do endosperma para o embrião. Para as sementes de milho dos dois híbridos a germinação foi superior a 95% e não houve diferença entre as épocas de colheita, somente nas últimas colheitas das sementes do híbrido Dow 2B587 houve redução da germinação e do vigor. O ponto de maturidade fisiológica (PM) foi identificado aos 56 DAF para as sementes de milho do híbrido P4285 e aos 48 DAF para as do híbrido Dow 2B587 e correspondeu ao estádio 4 da linha de leite e ao máximo de acúmulo da matéria seca. O máximo de vigor foi detectado por meio do resultado do teste de envelhecimento acelerado oito dias antes do (PM) para os dois híbridos. A atividade das células do endosperma está relacionada com os demais indicadores do PM (linha de leite, camada preta, massa de matéria seca e teor de água). O transporte de fotoassimilados da planta mãe para a semente cessa no ponto de maturidade fisiológica da semente, desativando o transporte no qual atuam as células da chalaza e da região basal do endosperma. A utilização do sal de tetrazólio possibilita identificar a morte das células da região basal do endosperma, uma vez que a partir desse momento não há mais a reação dessas células com o sal de tetrazólio, indicando que não têm atividade celular. Dessa forma, é possível caracterizar o ponto de maturidade fisiológica da semente de milho, por meio da atividade do sal de tetrazólio; essa caracterização é confirmada pela expressão das enzimas CAT e MDH.

Vapor-liquid equilibria using the Gibbs energy and the common tangent plane criterion

Phase thermodynamics is often perceived as a difficult subject that many students never become fully comfortable with. The Gibbsian geometrical framework can help students to gain a better understanding of phase equilibria. An exercise to interpret the vapor-liquid equilibrium of a binary azeotropic mixture, using the equilibrium condition based on the common tangent plane criterion (the Gibbs stability test), is presented in this paper. From a T-composition phase diagram for the mixture, the temperature is set at different values: above, intermediate to, and below the boiling temperatures of the pure components, to intersect different regions of the system. Students prepare an Excel spreadsheet where the Gibbs energy of mixing of the vapor and liquid mixtures are calculated and represented over the whole range of compositions and then, apply the Gibbs stability test to ascertain the aggregation state of the system and to calculate the VL phase equilibrium compositions. Finally, Matlab is used to generate the 3D Gibbs energy of mixing surfaces for both phases over the whole range of temperatures which facilitates the geometrical interpretation of the vapor-liquid equilibrium.

Correlation of the liquid–liquid equilibrium data for specific ternary systems with one or two partially miscible binary subsystems

This paper presents the results of a liquid–liquid equilibrium data correlation for 11 ternary systems which have not been previously fitted using the NRTL model or, when they have, the results presented in the literature are inconsistent with the experimental behavior of the system. These ternary systems include mixtures with one or two partially miscible pairs. During the correlation process, new restrictions were imposed on the values for the NRTL binary parameters to ensure correct prediction of the total or partial miscibility for the binary pairs involved. In addition, topological concepts related to the Gibbs stability test have been applied in order to validate the results in the whole range of compositions.