PDC in a Reversible-Thermodynamic Equilibrium

Let mp s and mp be the polymer mass of the considered P-mer in the sol and gel, respectively, cp s and cp the corresponding concentrations, u(P) = (dz/dt)p the constant elution rate of the P-mer transported along the z-axis of the vertical PDC-column, and v the mean overall linear rate of the column liquid then, a trivial integration of the chromatographic transport Equation (i.e. the thermodynamically and hydrodynamically defined retention coefficient) 

Ve(P) = qvte(P) is the elution volume of the P-mer measured at the end z = L of the column with a free cross-section q, at the elution time te(P), and = qL is the void column volume as defined above the volume ratio rv in the transport zone is assumed to be equal to the overall value, Eq. (2 b). Introducing the correct partition function 

(5a) with v(T) = 1 and Eo(T) = 0 i.e. r0(T) = rv is identical with Eq. (2a), obtained previously by Casper and Schulz and proposed for the mathematical description of the PDC-calibration curves. It was shown above that this is not possible even in the vicinity of the theta point, if a large range of P is considered. Independently, the same result was obtained by Wolf and Breitenbach 10) from static separation experiments on the system polystyrene/cyclohexane (PS/CHX). In their notation 

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