Partition coefficients equilibrium concentrations

In order to determine a partition coefficient, equilibrium between all interacting components of the system must be achieved, and the concentrations of the substances dissolved in the two phases must be determined. Octanol and water are standard solvents for the equilibrium experiments. They are readily available and allow equilibrium experiments with good repeatability and reproducibility. 

The basic principle of the method is to measure the dissolution of the substance in two different phases, water and -octanol. In order to determine the partition coefficient, equilibrium between all interacting components of the system must be achieved after which the concentration of the substances dissolved in the two phases is determined. The shake-flask method is applicable when the log Kow value falls within the range from -2 to 4 (OECD 107, 1995). The shake-flask method applies only to essential pure substances soluble in water and -octanol and should be performed at a constant temperature ( 1°C) in the range 20-25 °C. 

Carbon tetrachloride extracts chlorine monoxide but not HOCl from concentrated HOCl solutions. For the equilibrium, Cl2 0(aq) Cl2 0(CCl4), the partition coefficient at 0°C is 2.22 (55,84). 

The partition coefficient P, defined as the equilibrium concentration of the compound in n-octanol divided by that in the aqueous phase, has been measured for pyrazole and indazole (B-79MI40416). It was found that log F = 0.13-0.26 for pyrazole and 1.82 for indazole, clearly showing the greater hydrophobicity (lipophilicity) of the indazole ring, due to the benzenoid moiety. 

Condition (273) is the requirement that at the center of the bubble the concentrations and the temperature must be finite, and condition (274) follows from the condition that the net average flux is zero on the surface r = b which encloses each bubble. Condition (275) refers to the interfacial concentrations and the temperature on both phases, which are related through known equilibrium partition coefficients mf. Hence... 

Octanol-Water Partition Coefficient (Kq )—The equilibrium ratio of the concentrations of a chemical in TT-octanol and water, in dilute solution. 

Concentrations in Water and Particles. In order to obtain the rates of reaction, the concentrations of the two monomers and the chain transfer agent in the water and polymer phases were calculated using equilibrium partition coefficients (H). ... 

The quantitative descriptor of lipophilicity, the partition coefficient P, is defined as the ratio of the concentrations of a neutral compound in organic and aqueous phases of a two-compartment system under equilibrium conditions. It is commonly used in its logarithmic form, logP. Whereas 1-octanol serves as the standard organic phase for experimental determination, other solvents are applied to better mimic special permeation conditions such as the cyclohexane-water system for BBB permeation. Measurement of log P is described in Chapters 12 and 13 as well as in Ref [22]. 

Solute Flux Solute partitioning between the upstream polarization layer and the solvent-filled membrane pores can be modeled by considering a spherical solute and a cylindrical pore. The equilibrium partition coefficient 0 (pore/bulk concentration ratio) for steric exclusion (no long-range ionic or other interactions) can be written as... 

The lipophilicity of a solute affects its permeability in lipid bilayers. Lipophilicity is usually expressed in terms of its partitioning between water and an organic solvent, such as olive oil [95], oleyl alcohol [96], ether [97], or octanol [98]. Partition coefficient (PC) of a compound is expressed as its concentration ratio between organic medium and water at equilibrium ... 

Where is the initial analyte concentration in the liquid phase, C( the concentration of analyte in the gas phase, K the gas-liquid partition coefficient for the analyte at the analysis temperature, V, the volume of liquid phase, and V, the volume of gas phase (318-321,324,325). From equation (8.3) it can be seen that the concentration of the analyte in the headspace above a liquid in equilibrium with a vapor phase will depend on the volume ratio of the geis and liquid phases and the compound-specific partition coefficient which, in turn, is matrix dependent. The sensitivity 1 of the headspace sampling method can be increased in some instances adjusting the pH, salting out or raising the... 

Essentially, extraction of an analyte from one phase into a second phase is dependent upon two main factors solubility and equilibrium. The principle by which solvent extraction is successful is that like dissolves like . To identify which solvent performs best in which system, a number of chemical properties must be considered to determine the efficiency and success of an extraction [77]. Separation of a solute from solid, liquid or gaseous sample by using a suitable solvent is reliant upon the relationship described by Nemst s distribution or partition law. The traditional distribution or partition coefficient is defined as Kn = Cs/C, where Cs is the concentration of the solute in the solid and Ci is the species concentration in the liquid. A small Kd value stands for a more powerful solvent which is more likely to accumulate the target analyte. The shape of the partition isotherm can be used to deduce the behaviour of the solute in the extracting solvent. In theory, partitioning of the analyte between polymer and solvent prevents complete extraction. However, as the quantity of extracting solvent is much larger than that of the polymeric material, and the partition coefficients usually favour the solvent, in practice at equilibrium very low levels in the polymer will result. 

As mentioned in Chapater 3, the law of mass action sets the concentration relations of the reactants and products. So, the equilibrium constants, termed the partition coefficients, are the quotients... 

Our present topic is the relationship between permeability and lipophilicity (kinetics), whereas we just considered a concentration and lipophilicity model (thermodynamics). Kubinyi demonstrated, using numerous examples taken from the literature, that the kinetics model, where the thermodynamic partition coefficient is treated as a ratio of two reaction rates (forward and reverse), is equivalent to the equilibrium model [23], The liposome curve shape in Fig. 7.20 (dashed-dotted line) can also be the shape of a permeability-lipophilicity relation, as in Fig. 7.19d. 

In Figure 10.10a, it can be seen that for porous membranes, the partial pressure and concentration profiles vary continuously from the bulk feed to the bulk permeate. This is not the case with nonporous dense membranes, as illustrated in Figure 10.10b. Partial pressure or concentration of the feed liquid just adjacent to the upstream membrane interface is higher than the partial pressure or concentration at the upstream interface. Also, the partial pressure or concentration is higher just downstream of the membrane interface than in the permeate at the interface. The concentrations at the membrane interface and just adjacent to the membrane interface can be related according to an equilibrium partition coefficient KM i. This can be defined as (see Figure 10.10b) ... 

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