For non-ionized monolayers the simplest equation of state is Szyszkowski s equation [30]. [Pg.17]

Similar conclusions as to the attainment of a finite maximum value of r as pointed out by Langmuir J.A.G.S. xxxix. 1883, 1917) can be obtained from an empiric equation put forward by V. Szyszkowski Zeit Phys. Qhem. LXiv. 385,1908) in the following form [Pg.42]

The interfacial activity of organophosphorus compounds 1-6 can be described by Szyszkowski s equation (72) [Pg.186]

The efficiency of Pethica s equation can be shown by a simple example. Suppose that the behaviour of both surfactants in a mixed surface layer can be described by the generalised Szyszkowski-Langmuir equation (2.39) [Pg.168]

In the following table are given the limiting values of A calculated from Milner s and v. Szyszkowski s equations by Langmuir and Harkins. [Pg.45]

As aggregation of the insoluble component occurs only when its surface concentration is sufficiently high, the description of the two components based on Volmer s equation seems to be more appropriate than that based on the Szyszkowski-Langmuir equation. If a first-order phase transition does not occur in the monolayer, i.e. no aggregates are formed, then the simultaneous solution of Volmer s equation (2.159) for the components 1 and 2, and Pethica s equation (2.152) yields the adsorption isotherm for the soluble component 2 (see [156]) [Pg.171]

Since c- -ac c, the number of adsorbed mols in the surface is per cm.2, or iVTco molecules per cm.2. At T=293° K., (Xq=72 5 for water, and hence the surface covered by one molecule (which is equal to 1 jFtoN) is 12 8xlO i /j3. Szyszkowski found ji3=0411, hence the surface is 31 x 10 i cm., approximately the square of the molecular diameter. Langmuir also derived an inteipretation of the constant a. Tamamushii used an approximate form of Szyszkowski s equation [Pg.202]

An estimation of Ay obtained from Eq. (4.86) shows that it is essential to this non-equilibrium effect into account when Cq> S-IO" mol/cm, which coincides very good with the criterion for the non-diffusional adsorption kinetics in the Langmuir model discussed above. If we consider the von Szyszkowski-Langmuir equation, then the adsorption layer in equilibrium obeys [Pg.323]

When water soluble surfactants adsorb at the interface between a liquid hydrocarbon and water, the trends in adsorption are very similar to those established for the air - solution interface (see Chapter II). The Traube rule remains valid, and the dependence of the surface tension on concentration can be described by Szyszkowski s equation (11.18). Moreover, at identical surfactant concentrations, the absolute values by which the surface tension is lowered at water - air and water - hydrocarbon interfaces are not that different. The surface tension isotherms for these interfaces are parallel to each other (Fig. III-6). That is due to the fact that the work of adsorption per CH2 group, given by eq. (II. 14), is determined mostly by the change in the standard part of the chemical potential of the solution bulk, q0. Similar to the air-water interface, the energy of surfactant adsorption from an aqueous solution at an [Pg.178]

© 2019 chempedia.info