Guggenheim’s equation

Baes and Mesmer [3] use the function F I ) proposed by Pitzer to express the ionic strength dependence of the ion interaction coefficient fimx in Guggenheim s equations. For a single electrolyte... 

Grjotheim et al. (1972) used for calculation of the surface tension of binary mixtures three different modifications of the Guggenheim s equation (6.34). 

Guggenheim s equation - a one parameter equation with published parameter values for calculations at 0 and 25° C... 

For differently sized molecules either Guggenheim s equation can be used [2] ... 

An important variable of surface tension is temperature, which has practical value during the adhesion bonding of plastics. Surface tension of both adhesive and polymer is affected by temperature. Guggenheim s equation (Eqn (3.24)) is apphcable to liquids that have small molecules. It has also been found to be applicable to polymers. In this equation, 70 is surface tension at F = 0 K and Tc is the critical temperature (K) of the liquid. The values of 70 and... 

The Bronsted-Guggenheim-Scatchard approach (abbreviated B-G-S equation in this document), (see section 6.1). 

Guggenheim s polynomial expansion (equation 3.171 Guggenheim, 1937) and the two Redlich-Kister equations (3.172 and 3.173 Redlich and Kister, 1948) are of general applicability for any type of mixture ... 

Guggenheim and Turgeon3 published a tabulation of the coefficient 0 for a number of electrolytes. They state that equations (18.12) and (18.13) represent the facts with a useful degree of accuracy, at least for uni-univalent, biunivalent, and uni-bivalent electrolytes, up to an ionic strength of about 0.1. Table 18.2 summarizes values for Guggenheim s 0 at T = 273.15 and 298.15 K... 

This is Fowler and Guggenheim s crude approximation (40). As has been shown before (38), the equation for equilibrium then becomes... 

As a response to an early draft of our COSMOSPACE publication someone told us that our analytical solution for the COSMOSPACE equations for the case of only two surface types, as presented in Appendix C of that paper, is equivalent to Guggenheim s result of the QUAC. Although they appear quite... 

A simple alternative method of deducing equations similar to (23) and (24) from one similar to (22) is given in Guggenheim s paper (p. 400) it brings out very clearly the fact that an extension of the surface, without change in the intensity factors, is the essential part of this, not always fully understood, mathematical operation. 

The "Excess Function-Equation of State" model is based on the relation between the excess Helmholtz energy of the mixture and the equations of state of its components. The excess Helmholtz energy is calculated in Guggenheim s quasi-reticular theory. We chose van der Waals - like equations of state for the constituents of the mixture ... 

Figure A2.5.23 reproduces Guggenheim s figure, with experimental results and the fit to equation (A2.5.25).

Figure 35.6 Dependence of p /p° on volume fraction of polymer. Curves a, b, and c are Raoult s law, Eq. (35.11), for p = 1, 100, and 1000, respectively. Curve d is Flory s equation, Eq. (35.9). Curvee is Eq. (35.14) with w/kT = 0.38. The experimental points are for the system poly-styrene/toluene O, 25°C A, 60°C , 80°C. (Adapted from E. A. Guggenheim, Mixtures. London Oxford University Press, 1952. Data from Bawn, Freeman, and Kamaliddin, Trans. Faraday Soc. 46 677, 1950.)...

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