## Polyelectrolytes |

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Page 19

On the other hand, for values of Q larger than unity, P does not tend to unity, but

approaches l/Q at zero concentration. The

ions, /?/(l — </>), also approaches l/Q when Q is larger than unity. Thus, at infinite

...

On the other hand, for values of Q larger than unity, P does not tend to unity, but

approaches l/Q at zero concentration. The

**activity coefficient**, y, of the counterions, /?/(l — </>), also approaches l/Q when Q is larger than unity. Thus, at infinite

...

Page 20

(a) Relations of the apparent degree of dissociation of counter ions, fi, and the

various values of the charge density Q in solutions of cylindrical macroions; (1) Q

= 1, ...

(a) Relations of the apparent degree of dissociation of counter ions, fi, and the

**activity coefficient**of counter ions, y, to the apparent volume concentration atvarious values of the charge density Q in solutions of cylindrical macroions; (1) Q

= 1, ...

Page 38

-ue + nkT In {[(R2-a2)/a2][(l-Q)2 + \B\2]/2Q} (58) for imaginary B. This free energy

yields the following expression for the osmitic coefficient or the

of counter ions: y = (1 - B2)/2Q- <f>j(l - <j>) for real B (59) y = (1 + fi2)/2 ...

-ue + nkT In {[(R2-a2)/a2][(l-Q)2 + \B\2]/2Q} (58) for imaginary B. This free energy

yields the following expression for the osmitic coefficient or the

**activity coefficient**of counter ions: y = (1 - B2)/2Q- <f>j(l - <j>) for real B (59) y = (1 + fi2)/2 ...

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### Contents

Preface | 1 |

theoretically understandable Idealized treatment based on the simplest | 5 |

Electrical Potential Around the Macroion | 9 |

Copyright | |

17 other sections not shown

### Common terms and phrases

absence of salt activity coefficient activity of counter addition of salt additivity law alkali apparent charge bound counter ions chain Chapter charge density charged groups chemical potential coefficient of counter coil conformation concentration of counter concentration of free concentration of macroions copolymer counter ion condensation critical value cylindrical macroion decreases degree of dissociation degree of neutralization density Q derived dielectric constant dielectric dispersion dielectric increment electric free energy entropy equilibrium experimental extensive force fluctuation free counter ions free energy free volume hydrogen ions increase interaction ionized groups kinds of counter macromolecules monomers monovalent number of charged number of counter number of free osmotic coefficient osmotic pressure Poisson-Boltzmann equation polyacids polyacrylic acid polyelectrolytes polyvalent counter ions potential valley proportional radius random coil ratio refractive index region relation result rodlike macroions rods salt concentration salt solution shown in Fig simple salt small ions sodium ions spherical macroion total number valence