Abstract

The solubility of lamotrigine in binary and ternary mixtures of N-methyl pyrrolidone and water with polyethylene glycols 200, 400, and 600 at 25 °C is determined and mathematically represented using two cosolvency models, i.e. the log-linear model of Yalkowsky (method I), the Jouyban–Acree model (method II), and a combined version of the Jouyban–Acree model with Hansen partial solubility parameters (method III). The density of the solute free solvent mixtures is measured and employed to train the Jouyban–Acree model and subsequently the density of the saturated solutions is predicted. For methods I and II, the overall mean relative deviations (OMRDs) for fitting the solubility data of lamotrigine in binary mixtures are 39.1% and 5.1%, respectively. Further, the OMRDs for fitting the solubilities in ternary solvent mixtures for lamotrigine are 42.9% and 22.1% for methods I and II, respectively. In method III, the OMRD value for fitting all 122 data points by means of the combined version of the Jouyban–Acree model with Hansen solubility parameters is 12.7%. The trained version of the Jouyban–Acree model was produced by using the density of the solute free solutions, and the prediction of OMRD for the density of saturated solutions is 1.6%.

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