Simulation of density, viscosity and ultrasonic velocity data of 3-bromoanisole + methanol mixtures at different temperatures

SUMMARY Aim: To represent mathematically the reported physico-chemical properties (PCPs) of binary mixtures of 3-bromoanisol + methanol at various temperatures by using a single model with seven curve-fit parameters. Results: Besides the correlation models, the applicability of training the proposed model using a minimum number of experimental data and prediction of the rest of data points with acceptable prediction error is also shown.

Objetivo: representar matemáticamente las propiedades fisicoquímicas (PCP) de mezclas binarias de 3-bromoanisol + metanol a varias temperaturas, utilizando un modelo único con siete parámetros de ajuste de curva. Resultados: además de los modelos de correlación, también se muestra la aplicabilidad del entrenamiento del modelo propuesto utilizando un número mínimo de datos experimentales y la predicción del resto de puntos de datos con un error de predicción aceptable.

Objetivo: representar matematicamente as propriedades físico-químicas reportadas (PCPs) de misturas binárias de 3-bromoanisol + metanol em várias temperaturas usando um único modelo com sete parâmetros de ajuste de curva. Resultados: além dos modelos de correlação, a aplicabilidade do treinamento do modelo proposto usando um número mínimo de dados experimentais e previsão do restante dos pontos de dados com erro de previsão aceitável também é mostrada.

Drug Solubility Correlation Using the Jouyban-Acree Model: Effects of Concentration Units and Error Criteria.

An important factor affecting the model accuracy is the unit expression type for solute and solvent concentrations. One can report the solute and solvent concentration in various units and compare them with various error scales. In order to investigate the unit and error scale expression effects on the accuracy of the Jouyban-Acree model, in the current study, seventy-nine solubility data sets were collected randomly from the published articles and solute and solvent concentrations in the investigated systems were expressed in various units. Mass fraction, mole fraction, and volume fraction were the employed concentration units for the solvent compositions, and mole fraction, molar, and gram/liter were the investigated concentration units for the solutes. The solubility data, with various solute/solvent concentration units, were correlated using the Jouyban-Acree model, and the accuracy of each model for correlating the data was investigated by calculating different error scales and discussed.

Solubility Prediction of Drugs in Binary Solvent Mixtures at Various Temperatures Using a Minimum Number of Experimental Data Points.

This study aimed to provide a rational experimental design to collect a minimum number of experimental data points for a drug dissolved in a given binary solvent mixture at various temperatures, and to describe a computational procedure to predict the solubility of the drugs in any solvent composition and temperature of interest. We gathered available solubility data sets from papers published from 2012 to 2016 (56 data sets, 3488 data points totally). The mean percentage deviations (MPD) used to check the accuracy of predictions was calculated by Eq. 10. Fifty-six datasets were analyzed using 8 training data points which the overall MPD was calculated to be 15.5% ± 15.1%, and for 52 datasets after excluding 5 outlier sets was 12.1% ± 8.9%. The paired t test was conducted to compare the MPD values obtained from the models trained by 7 and 8 training data points and the reduction in prediction overall MPD (from 17.7% to 15.5%) was statistically significant (p < 0.04). To further reduction in MPD values, the computations were also conducted using 9 training data points, which did not reveal any significant difference comparing to the predictions using 8 training data points (p > 0.88). This observation revealed that the model adequately trained using 8 data points and could be used as a practical strategy for predicting the solubility of drugs in binary solvent mixtures at various temperatures with acceptable prediction error and using minimum experimental efforts. These sorts of predictions are highly in demand in the pharmaceutical industry.

Solubility of Naproxen in Polyethylene Glycol 200 + Water Mixtures at Various Temperatures.

The solubility of naproxen in binary mixtures of polyethylene glycol 200 (PEG 200) + water at the temperature range from 298.0 K to 318.0 K were reported. The combinations of Jouyban-Acree model + van't Hoff and Jouyban-Acree model + partial solubility parameters were used to predict the solubility of naproxen in PEG 200 + water mixtures at different temperatures. Combination of Jouyban-Acree model with van't Hoff equation can be used to predict solubility in PEG 200 + water with only four solubility data in mono-solvents. The obtained solubility calculation errors vary from ~ 17 % up to 35 % depend on the number of required input data. Non-linear enthalpy-entropy compensation was found for naproxen in the investigated solvent system and the Jouyban-Acree model provides reasonably accurate mathematical descriptions of the thermodynamic data of naproxen in the investigated binary solvent systems.

Some numerical analyses on the solubility of vanillin in Carbitol® + water solvent mixtures / Algunos análisis numéricos sobre la solubilidad de la vainillina en mezclas cosolventes Carbitol® + agua / Alguns análises numéricas da solubilidade de vanilina em misturas de solventes carbitol® + água

In this communication some reported solubility values of vanillin (component 3) in 2-(2-ethoxyethoxy)ethanol (Carbitol®, component 1) + water (component 2) mixtures at five temperatures from 298.15 to 318.15 K were correlated with the Jouyban-Acree model combined with van't Hoff or Apelblat equations, obtaining models in second degree regarding the mixtures compositions. Mean percentage deviations were near to 6.0%. On the other hand, by means of the inverse Kirkwood-Buff integrals it was demonstrated that vanillin is preferentially solvated by water in water-rich mixtures (with a minimum δx1,3 value in the mixture x1 = 0.05, i.e. -4.29 x 10-2) but preferentially solvated by the cosolvent in mixtures with compositions 0.12 < x1 < 1.00 (with a maximum δx1,3 value equal to 3.61 x 10-2 in the mixture x1 = 0.25). It is conjectural that hydrophobic hydration plays a relevant role in the first case, whereas, in the second case, vanillin would be acting as Lewis acid with Carbitol®.

Nesta pesquisa alguns valores de solubilidade da vanilina (componente 3) em misturas 2-(2-etoxietoxi)etanol (Carbitol®, componente 1) + água (componente 2) em várias temperaturas (298,15-318,15 K) foram correlacionados com o modelo Jouyban-Acree combinado com as equações do van't Hoff ou Apelblat obtendo modelos de ordem dois. Os desvios médios percentuais foram cercanos a 6,0%. Por outro lado, por meio das integrais inversas do Kirkwood-Buff demonstrou-se que a vanilina é preferencialmente solvatada pela água em misturas ricas em agua (com um valor mínimo de δx1,3 igual a -4,29 x 10-2 obtido na mistura de composição x1 = 0,05), mas, preferencialmente, solvatada pelo cosolvente, em misturas com composições 0,12 < x1 < 1,00 (com um valor máximo de δx1,3 igual a 3,61 x 10-2 obtido na mistura de composição x1 = 0,25). É conjecturável que a hidratação hidrofóbica desempenha um papel relevante no primeiro caso, enquanto que, no segundo caso a vanilina está atuando como ácido de Lewis com moléculas do Carbitol®.

En esta comunicación se presenta la correlación de algunos valores de solubilidad de vainillina (componente 3) en mezclas 2-(2-etoxietoxi)etanol (Carbitol®, componente 1) + agua (componente 2) reportados previamente en la literatura a cinco temperaturas desde 298,15 hasta 313,15 K mediante el modelo de Jouyban-Acree combinado con las ecuaciones de van't Hoff y de Apelblat. En el análisis se obtuvieron modelos de segundo orden respecto a la composición de las mezclas disolventes. Las desviaciones porcentuales promedio fueron cercanas al 6,0%. Por otro lado, mediante las integrales inversas de Kirkwood-Buff se demostró que la vainillina es solvatada preferencialmente por el agua en mezclas ricas en agua (con un valor mínimo de δx1,3 igual a -4,29 x 10-2 obtenido en la mezcla de composición x1 = 0,05) pero preferencialmente solvatada por el cosolvente en mezclas con composiciones 0,12 < x1 < 1,00 (con un valor máximo de δx1,3 igual a 3,61 x 10-2 obtenido en la mezcla de composición x1 = 0,25). Se podría conjeturar que la hidratación hidrofóbica juega un papel relevante en el primer caso, mientras que en el segundo caso, la vainillina estaría actuando como ácido de Lewis frente a las moléculas de Carbitol®.

Solubility of phenytoin in aqueous mixtures of ethanol and sodium dodecyl sulfate at 298 K / Solubilidad de la fenitoína en mezclas acuosas de etanol y dodecil-sulfato sódico a 298 K

The solubility of phenytoin in binary mixtures of ethanol + water at 298.2 K in the presence of three different concentrations of sodium dodecyl sulfate (SDS) was reported. The Jouyban-Acree model was used for correlating the generated data and the obtained mean relative deviation was 7.3 %. When all data points of phenytoin in binary solvents at various SDS concentrations were fitted to the model, the obtained mean relative deviation was 10.1 %.

Se presenta la solubilidad de la fenitoína a 298.2 K en mezclas binarias de etanol y agua en presencia de tres diferentes concentraciones de dodecil-sulfato sódico (DSS). Se utiliza el modelo de Jouyban-Acree para correlacionar los datos generados obteniendo una desviación media relativa de 7,3 %. Al ajustar al modelo todos los datos obtenidos de la fenitoína en los solventes binarios y en las diferentes concentraciones de DSS la desviación media relativa obtenida fue de 10,1%.

Volumetric properties of (PEG 400 + water) and (PEG 400 + ethanol) mixtures at several temperatures and correlation with the Jouyban-Acree model / Propiedades volumétricas de mezclas binarias (PEG 400 + agua) y (PEG 400 + etanol) a diferentes temperaturas y correlación con el modelo Jouyban-Acree

Molar volumes and excess molar volumes were investigated from density values for (PEG 400 + water) and (PEG 400 + ethanol) binary mixtures at temperatures from 283.15 K to 313.15 K. Both systems exhibit negative excess volumes probably due to increased interactions like hydrogen bonding and/or large differences in molar volumes of components. Volume thermal expansion coefficients were also calculated for binary mixtures and pure solvents. The Jouyban-Acree model was used for density and molar volume correlations of the studied mixtures at different temperatures. The mean relative deviations between experimental and calculated density data were 0.1 and 0.5 %, for aqueous and ethanolic mixtures, respectively; whereas, in molar volume data the values were 18.0 and 6.9 %, for aqueous and ethanolic mixtures, respectively. The trained versions of the model for PEG 400 binary solvents could be used to predict the density values of other PEGs with reasonable prediction error employing the density of mono-solvents.

En este artículo se calcularon los volúmenes molares y molares de exceso a partir de valores de densidad para los sistemas PEG 400 + agua y PEG 400 + etanol, en todo el intervalo de composición, a temperaturas entre 283,15 y 313,15 K. Los sistemas estudiados presentan volúmenes de exceso negativos probablemente debido a las fuertes interacciones por unión de hidrógeno entre las moléculas de los dos compuestos y a la gran diferencia en los volúmenes molares de los dos componentes puros. También se calcularon los coeficientes de expansión térmica-volumétrica en los solventes puros y las respectivas mezclas. Asimismo, se usó el modelo Jouyban- Acree para correlacionar la densidad y el volumen molar de las mezclas a las distintas temperaturas. Las desviaciones medias relativas en densidad fueron 0,1% y 0,5% para las mezclas acuosas y etanólicas, respectivamente, mientras que las desviaciones obtenidas para volumen molar fueron 18% y 6,9% para las mezclas acuosas y etanólicas, respectivamente. Los modelos obtenidos para las mezclas binarias con PEG 400 pueden usarse para predecir los valores con otros PEG, con un adecuado margen de error, utilizando las densidades de los solventes puros.

Volumetric properties of some pharmaceutical binary mixtures at low temperatures and correlation with the Jouyban-Acree model / Propiedades volumétricas de algunas mezclas binarias de uso farmacéutico a bajas temperaturas y correlación con el modelo Jouyban-Acree

Excess molar volumes and partial molar volumes were investigated from density values for a) ethanol (1) + water (2), b) 1,2-propanediol (1) + water (2), and c) ethanol (1) + 1,2-propanediol (2) mixtures, at temperatures from (278.15 to 288.15) K. Excess molar volumes were fitted by Redlich-Kister equation. The systems exhibit negative excess volumes probably due to increased interactions like hydrogen bonding and/or large differences in molar volumes of components. The Jouyban-Acree model was used for density and molar volume correlations of the studied mixtures at different temperatures. The mean relative deviations between experimental and calculated data in density data were 0.15, 0.08, and 0.01 %, for a), b), and c), respectively; whereas, in molar volume data the values were 1.9, 2.1, and 0.1 %, for a), b), and c), respectively.

En este trabajo se calcularon los volúmenes molares de exceso a partir de valores de densidad para los sistemas a) etanol + agua, b) 1,2-propanodiol + agua y c) etanol + 1,2-propanodiol, en todo el intervalo de composición, a temperaturas entre 278,15 y 288,15 K. Los volúmenes molares de exceso se modelaron de acuerdo a la ecuación de Redlich-Kister. Los sistemas estudiados presentan volúmenes de exceso altamente negativos probablemente debido a las fuertes interacciones por unión de hidrógeno entre las moléculas de los dos compuestos y a la gran diferencia en los volúmenes molares de los dos componentes puros. Finalmente se usó el modelo Jouyban-Acree para correlacionar la densidad y el volumen molar de las diferentes mezclas. Las desviaciones medias relativas en densidad fueron, 0,15, 0,08 y 0,01 %, para a), b) y c), respectivamente; mientras que el caso de volumen molar los valores fueron 1,9, 2,1 y 0,1 %, para a), b) y c), respectivamente.

Solubility prediction of drugs in mixed solvents using partial solubility parameters.

Solubility of drugs in binary and ternary solvent mixtures composed of water and pharmaceutical cosolvents at different temperatures were predicted using the Jouyban-Acree model and a combination of partial solubility parameters as interaction descriptors in the solution. The generally trained version of the model produced the overall mean percentage deviation values for the back-calculated solubility of drugs in binary solvents of 34.3% and the predicted solubilities in ternary solvent mixtures of 38.0%. In addition, the applicability of the trained model for predicting the solvent composition providing the maximum solubility of a drug was investigated. The results of collected solubility data of drugs in various mixed solvents and the newly measured solubility data of five drugs in ethanol + propylene glycol + water mixtures at 25°C showed that the model provided acceptable predictions and could be used in the pharmaceutical industry.

Solubility of pioglitazone hydrochloride in ethanol, N-methyl pyrrolidone, polyethylene glycols and water mixtures at 298.20 °K.

BACKGROUND AND THE PURPOSE OF THE STUDY: Solubility of pharmaceuticals is still a challenging subject and solubilization using cosolvents is the most common technique used in the pharmaceutical industry. The purpose of this study was reporting and modeling the experimental molar solubility of pioglitazone hydrochloride (PGZ-HCl) in binary and ternary mixtures of ethanol (EtOH), N-methyl pyrrolidone (NMP), polyethylene glycols (PEGs) 200, 400, 600 and water along with the density of saturated solutions at 298.2 °K. METHODS: To provide a computational method, the Jouyban-Acree model was fitted to the solubilities of the binary solvents, and solubilities of the ternary solvents were back-calculated by employing the solubility data in mono-solvents. In the next step, the ternary interaction terms were added to the model and the prediction overall mean percentage deviation (MPD) of the ternary data was reduced. Also a previously proposed version of the model was used to predict the solubility of PGZ-HCl in binary and ternary mixtures employing the experimental solubility data in mono-solvents. RESULTS: The overall MPD of the model for fitting the binary data and predicted data of ternary solvents were 2.0 % and 50.5 %, respectively. The overall MPD of the predicted solubilities in ternary solvents using the ternary interaction terms in the model was 34.2 %, and by using the proposed version of the Jouyban-Acree model for binary and ternary data the overall correlation and prediction errors were 18.0 and 15.0 %, respectively. CONCLUSION: The solubility of PGZ-HCl was increased by addition of EtOH, NMP, PEGs 200, 400 and 600 to aqueous solutions. The reported data extended the available solubility data of pharmaceuticals which are crucial in formulation of liquid dosage forms. The constants of the Jouyban-Acree model using the generated data are also reported which provides the possibility of solubility prediction in other solvent mixtures and temperatures.

Volumetric properties of glycerol + water mixtures at several temperatures and correlation with the Jouyban-Acree model / Propiedades volumétricas de mezclas glicerol + agua a varias temperaturas y correlación con el modelo Jouyban-Acree

Excess molar volumes and partial molar volumes were investigated from density values of the literature for glycerol + water mixtures at temperatures from (288.15 to 303.15) K. Excess molar volumes were fitted by Redlich-Kister equation and compared with values of literature for other similar systems. The system exhibits negative excess volumes probably due to increased interactions like hydrogen bonding and/or large differences in molar volumes of components. The effect of temperature on different volumetric properties studied is also analyzed. Besides, the volume thermal expansion coefficients are also calculated founding values from 2.51 × 10–4 K–1 for water to 7.24 × 10–4 K–1 for glycerol at 298.15 K. The Jouyban-Acree model was used for density and molar volume correlations of the studied mixtures at different temperatures. The mean relative deviations between experimental and calculated data were 0.19 ± 0.11 % and 0.32 ± 0.25 %, respectively for density and molar volume data.

En este trabajo se calculan los volúmenes molares de exceso a partir de valores de densidad tomados de la literatura para el sistema glicerol + agua en todo el intervalo de composición a temperaturas entre 278,15 y 313,15 K. Los volúmenes molares de exceso se modelaron de acuerdo a la ecuación de Redlich-Kister usando polinomios regulares de segundo grado y se compararon con otros presentados en la literatura para otros sistemas. El sistema estudiado presenta volúmenes de exceso altamente negativos (hasta –0,40 cm3 mol–1) probablemente debido a las fuertes interacciones por unión de hidrógeno entre las moléculas de los dos compuestos y a la gran diferencia en los volúmenes molares de los dos componentes puros. También se analizó el efecto de la temperatura sobre las diferentes propiedades volumétricas estudiadas. Así mismo se calcularon los coeficientes térmicos de expansión volumétrica encontrado valores desde 2,51 × 10–4 K–1 para el agua pura hasta 4,38 × 10–4 K–1 para el glicerol puro a 298,15 K. Finalmente se usó el modelo Jouyban-Acree para correlacionar la densidad y el volumen molar de las diferentes mezclas encontrando desviaciones medias relativas de 0,19 ± 0,11 % y 0,32 ± 0,25 % para densidades y volúmenes molares respectivamente.