Abstract
A new characterization procedure for aqueous solutions with unknown composition was proposed based on the binomial distribution of TOC (total organic carbon) fraction in terms of a characterizing variable, the Freundlich coefficient, k, so that the solution in question can be described by a finite number of pseudo.species identified with a certain k value. The validity and computational accuracy of this procedure has been demonstrated by characterizing three sets of experimental data chosen from different sources. Predictions based on this procedure yielded acceptable results that agreed closely with experimental data.
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Abbreviations
- A:
-
area uf the solution-solid interface, [m2]
- c:
-
concentration in solution, [ppm or mol/m1]
- c;r:
-
total adsorbale concentration in solutioi:. [ppni or mob’nr’]
- F:
-
object function or averaged error defined in Eq. (18)
- k:
-
Freundlich constant
- ks:
-
stale factor of k value
- m:
-
mass of adsorbent, (kg]
- M:
-
number of data
- n:
-
reciprocal of Freundlich exponent
- N:
-
number of pseudospecies
- q:
-
concentration in the adsorbed phase, [ppm or mob’kg]
- qT :
-
total adsorbate concentration in Ihe adsorbed phase, [ppm or niol/kg]
- R:
-
gas constant
- s:
-
skewness factor
- T:
-
temperature, [K]
- V:
-
volume of solution, [nr!]
- x:
-
TOC fraction in solution
- z:
-
TOC fraction in the adsorbed phase
- n :
-
spreading pressure
- II :
-
modified spreading pressure defined inVa (10)
- o:
-
single species state equilibrium
- i.j:
-
the i-th or j-lh species
- o:
-
initial value
- DAE:
-
differential adsorption equilibrium
- DOC:
-
dissolved organic carbon
- 1AE:
-
integral adsorption equilibrium
- TOC:
-
total organic carbon
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Moon, H., Kwoin, H.J. & Park, H.C. A new characterization procedure for aqufous solutions with unknown composition. Korean J. Chem. Eng. 7, 53–60 (1990). https://doi.org/10.1007/BF02697342
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DOI: https://doi.org/10.1007/BF02697342