Advances in Chemical Physics, Volume 158: Physical Chemistry by Mitsuru Nagasawa

By Mitsuru Nagasawa

The Advances in Chemical Physics sequence offers the chemical physics box with a discussion board for severe, authoritative reviews of advances in each quarter of the self-discipline. This quantity explores subject matters from Thermodynamic houses of Polyelectrolyte recommendations to ion-binding of polyelectrolytes. The ebook features:

  • The basically sequence of volumes on hand that offers the innovative of study in chemical physics
  • Contributions from specialists during this box of research
  • Representative cross-section of analysis that questions proven pondering on chemical solutions
  • An editorial framework that makes the booklet a great complement to a sophisticated graduate category in actual chemistry or chemical physics

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Extra info for Advances in Chemical Physics, Volume 158: Physical Chemistry of Polyelectrolyte Solutions

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Both A2,OS and A2,LS are found to be almost identical, despite that the NaPSS samples were prepared by fractionation, so having broad molecular weight distributions. The identity of A2,OS and A2,LS may arise from the fact that the second virial coefficient of NaPSS does not depend on molecular weight in this range of added-salt concentration, as is observed in Figure 13. Figure 13 shows the molecular weight dependence of A2 reported by Takahashi et al. [45]. 5 5 10 20 100 Mw × 10–5 Figure 13. Dependence of A2 on molecular weight.

Solvent, toluene or benzene. (Reproduced with permission from Ref. [23]. ) II. ELECTROSTATIC FREE ENERGY OF POLYELECTROLYTE SOLUTIONS In aqueous solutions of a strong electrolyte of uni–univalent type K + A− , the Gibbs free energy G of the solution at constant pressure and temperature may be expressed by dGT,P = ????+ dn+ + ????− dn− + ????o dno (19) where ????i and ni denote the chemical potential and the concentration (mol/l) of species i, respectively. The chemical potentials of cation and anion may be expressed by ????i = ????i0 + RT ln ni (20) THERMODYNAMIC PROPERTIES OF POLYELECTROLYTE SOLUTIONS 33 if the solution is ideal.

0 → log[(√A2 + 4C2s + A)/(√A2 + 4C2s – A)] Figure 8. Donnan membrane potentials. Open circles denote observed values and broken lines denote calculated values of eqs (82). The solid lines denote the calculated values of eq (92) with activity coefficients of ions. 2. 029 ×10−3 N. The data at three other salt concentrations in between A and E are similar to the aforementioned data. (Reproduced with permission from Ref. [42]. 0 20 04 01 0. 5 Figure 9. (A) Reduced osmotic pressure p∕c versus polymer concentration c (g/100 ml) for sodium pectinate in solutions of NaCl at 20 ∘ C.

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