Estimation of aqueous solubility by the General Solubility Equation (GSE) the easy way

The General Solubility Equation (GSE) provides a simple method of estimating the molar aqueous solubility of an organic non-electrolyte in water (S,) as a function of its celsius melting point (MP) and octanol-water partition coefficient (K-ow): log S-w = -0.01 (MP-25) - log K-ow + 0.5 The melting term of the GSE is based upon the Clausius-Clapyron equation and Walden's rule. The aqueous activity coefficient is assumed to be the reciprocal of the octanol-water partition coefficient. The constant is based upon the molarity of pure octanol. There are no fitted parameters in the GSE. Extension of the GSE to weak electrolytes in buffered aqueous solutions is straightforward. The concentration of the ionized species, Si, is accounted for by incorporating one additional term, which contains the pK(a) of the solute and pH of the solution. For a weak acid, S-total = S-w + S-i = S-w [1 +10((pH-pKa))] The solubility of a weak electrolyte in unbuffered water requires further consideration because the solute will determine the pH of the solution. It is shown that in unbuffered media S-total = S-w + S-i = S-w + (SwKa)(1/2) Thus, it is not necessary to explicitly know the pH of the saturated solution to estimate the solubility of a weak electrolyte in water. The GSE is validated on data set of over a thousand compounds, covering a wide range of structural categories. The GSE is compared to a number of other solubility estimation techniques using the criteria of accuracy of fit, applicability, parsimony, convenience, and elegance.