Volumetric expansion parameter calculation

In the Multigrain model, fractured catalyst microparticles are produced during the polymerization and uniformly dispersed in the polymer each of these particles behaves as a micro Solid core and diffusion within them, as well as in the interstices between them, can take place. In the Polymeric flow model the catalyst microparticles are dispersed in a polymer continuum and move outward in proportion to the volumetric expansion due to polymerization only one value of diffusivity is considered. Both these models predict significant MWD broadening due to mass transfer limitations (Q , 9 for polypropylene in the Polymeric flow model) on the basis of mathematical calculations carried out assuming reasonable values of the kinetic and physical parameters. 

Calculate an estimate of the polymer-solvent interaction parameter (x) and the relative volumetric expansion (a ) of the polymer in each solvent. [Polymer density = 0.960 g/cm ]... 

These parameters ean be calculated if factors of die volumetric expansion, isothermal eompressibility, thermal capacity of a solvent and enthalpy of mixing of solution components are known. 

This constant wo characterises the initial volumetric flow rate referring to a unit cross-sectional foam area. A rigorous analytical dependence of the constant wq on the structural parameters of a low expansion ratio foam and the properties of the solution (dp IdH, H, r, R, n, a) has not been derived, so that this constant cannot be calculated. 

TABLE 47 Ideal (X-ray) density (p), Gruneisen parameter (yy), isohoric heat capacity (Cy, Z = 4), entropy (S), bulk Kj) and shear (G ) moduli, and volumetric thermal expansion coefficient (ay) calculated for RGaOj (R = La-Gd) at 300 K using semi-classical approach (Senyshyn et al., 2005b]... 

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