Solubilization logarithmic-linear

In dilute solutions, the solute will, on average, contact only one hydrated cosolvent molecule at a time, and the degree of solubilization should be a linear rather than a logarithmic function of cosolvent content. Thus, it is expected that the log-linear relationship between Sm andf. that applies at high cosolvent concentrations will become linear at low cosolvent levels due to a change in the mechanism of solubilization. If S is defined as solubility enhancement... 

For non-polar solutes, or those solutes that are more non-polar than the cosolvent of choice, solubilization generally follows the log-linear model of Eq. (18). The degree of solubilization is directly related to the polarity of the solute. From Eq. (20) it has been shown that the solubilization slope, octanol-water partition coefficient (logAio/w)- Fig- 6 shows data for a series of hydrocortisones in propylene glycol. As log Mo/w increases it follows that the solubilization slopes increase. Li and Yalkowsky have also illustrated this relationship for non-polar solutes in ethanol-water... 

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