Physical Chemistry of Foods

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net interaction energy between surfactant molecules when in the adsorption
layer, which can vary greatly among surfactants.
The adsorption isotherms for surfactants at the A–W and the O–W
interface need not be the same. This is primarily because the net interaction
energy mentioned will often be different for these interfaces. It may even
make a difference whether the oil is a paraffin or a triacylglycerol mixture.
Another condition affecting the isotherm is temperature. By and large, the
surface excess will be smaller for a higher temperature at the same activity of
the surfactant; the difference can be considerable (cf. Figure 8.5b).
Thesurface activityof a solute, i.e., the reciprocal ofc0.5, is higher if
the free energy needed to remove a surfactant molecule from the interface is
larger. For an aqueous solution, this is the case if the hydrophobic part of
the molecule (e.g., an aliphatic chain) is larger relative to the hydrophilic
part (e.g., a carboxyl group). This explains the trend shown by the
surfactants in Figure 10.6; it may also be noted that in such cases
(homologous surfactants) the surface activity is closely related to the
solubility. For the same ratio hydrophobic/hydrophilic, the free energy for

FIGURE10.7 Adsorption isotherms. Surface excessGoverG?(i.e.,Gat surface
saturation) versus concentration in solutioncoverc0.5(i.e.,cforG/G?¼ 0 :5).
Langmuir isotherm and calculated isotherm for Na-stearate at the A–W surface.

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