Excess compressibility properties

Other macroscopic properties that in principle can be measured are the excess density and the excess compressibility of the interfacial liquid. These excess quantities can be positive or negative and follow from a comparison of the corresponding quantities in systems with the liquid and solid separated. Alternatively, liquid behaviour in pores can be studied. An example of this kind has been given by Derjaguin ) who claims that water in narrow pores of silica gel or Aerosil does not exhibit the typical thermal expansion minimum at 4 C because of structural changes near the surface. Ldring and Findenegg ) studied surface excesses dilatometrically. 

Nor can the theory of regular solutions based on the simplified lattice model (cf. Ch. Ill) give any indication on the excess properties related to the equation of state such as the excess volume, the excess compressibility and hence the excess entropy and the excess specific heat all of which are closely related to the equation of state. In fact, no equation of state at all is introduced in this model. The lattice model can only be used to calculate the excess free energy and the excess enthalpy which should be equal in the zerbth approximation. However the experimental data invalidate this conclusion. 

The main excess properties are the free energy gE, enthalpy hB, entropy sE, and volume v (per molecule) data on other excess properties (specific heat, thermal expansion or compressibility) are rather scarce. In most cases gE, hE, sE, and vE have been determined at low pressures (<1 atm) so that for practical calculations p may be equated to zero their theoretical expressions deduced from Eqs. (33) and (34) are then as follows ... 

Properties of composites obtained by template poly condensation of urea and formaldehyde in the presence of poly(acrylic acid) were described by Papisov et al. Products of template polycondensation obtained for 1 1 ratio of template to monomers are typical glasses, but elastic deformation up to 50% at 90°C is quite remarkable. This behavior is quite different from composites polyacrylic acid-urea-formaldehyde polymer obtained by conventional methods. Introduction of polyacrylic acid to the reacting system of urea-formaldehyde, even in a very small quantity (2-5%) leads to fibrilization of the product structure. Materials obtained have a high compressive strength (30-100 kg/cm ). Further polycondensation of the excess of urea and formaldehyde results in fibrillar structure composites. Structure and properties of such composites can be widely varied by changes in initial composition and reaction conditions. 

Holt later added (Ref 8f, p 1) "In the explosive gas a polytropic law with y=3 is satisfactory near the detonation front but leads to an excessive expansion of the gas away from this in the disturbed air it is again inaccurate to take a fixed value of y thruout the region of intense compression behind the main blast wave . He added in the summary "Most of the properties established for polytropic explosives with y=3 are found to be generally true (Quoted from Ref 10, pp 184-85)... 

In a subsequent theoretical analysis, Princen [26] initially used a model of infinitely long cylindrical drops to relate the geometric and thermodynamic properties of monodisperse HIPEs to the volume fraction of the dispersed phase. Thus the analysis could be restricted to a two-dimensional cross-section of the emulsion. Two principle emulsion parameters were considered the film thickness between adjacent drops (h) and the contact angle (0) [27-29]. The effects of these variables on the volume fraction, , both in the presence and absence of a compressive force on the emulsion, were considered. The results indicated that if both h and 0 are kept at zero, the maximum volume fraction () of the uncompressed emulsion is 0.9069, which is equivalent to = 0.7405 in real emulsions with spherical droplets (cf. Lissant s work). If 0 is zero (or constant) and h is increased, the maximum value of decreases on the other hand, increasing 0 with zero or constant h causes to increase above the value 0.9069, again at zero compression. This implies that, in the presence of an appreciable contact angle, without any applied compressive force, values of <(> in excess of the maximum value for undeformed droplets can occur. Thus, the dispersed phase... 

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