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Conductance and Transference Numbers

  • R. Fernández-Prini
  • M. Spiro

Abstract

The theory of electrolytic conductance was successfully extended during the fifties so that it could be used to predict the conductance of solutions having a concentration such that κd < 0.2−0.5 (see Notation). In the last five years a revision of the theoretical treatments has enabled the establishment of a firmer basis for the methods employed to evaluate conductance data.

Keywords

Association Constant Propylene Carbonate Transference Number Aprotic Solvent Electrolytic Conductance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notation

a

distance of closest approach of ions

b

(ze)2/ r kT

c

molarity

d

distance of closest approach of free ions

e

protonic charge

fij

ninij

F

coefficient of the viscosity eqn. 5.2.37

F

Faraday

Fj

force acting on ion j

k

Boltzmann constant

l

Bjerrum’s distance

KA

association constant

K3

dissociation constant of triple-ions

NA

Avogadro number

ni

stoichometric concentration (ions cm−3)

nij

number density of j ions near an i ion

pij

solvent pressure on j ion

q

(ze) 2 k/ε r kT

Rj

hydrodynamic radius of ion j

sji

fluid velocity relative to ion j

S

coefficient of Onsager limiting law

T

absolute temperature

uij

local velocity of the medium in the vicinity of ion j

X

external electric field

vij

velocity of ion j near an i ion

x

Kr

y

Ka

zj

charge number including its sign

z

charge number; conductance variable in Fuoss and Shedlovsky eqn. 5.4.10

α

relaxation coefficient of the limiting law degree of dissociation

β

electrophoretic coefficient of the limiting law

γ±

mean molar activity coefficient

εr

dielectric constant

ε′r

dielectric coefficient

η

solvent viscosity

ηs

solution viscosity

κ

reciprocal radius of the ionic atmosphere

λij

coefficient of eqn. 5.2.14

Λ

molar conductance

Λi

ionic molar conductance

Λ°

molar conductance at infinite dilution

ΛLL

molar conductance according to Onsager limiting law

ζj

coefficient of eqn. 5.2.14

πij

coefficient of eqn. 5.2.14

Φij

(z j e ψ i )/kT

ψij

electrostatic interionic potential acting on ion j due to ion i and its ionic atmosphere

ρij

charge density around ion j

σ

conductivity of the solution

ωj

mobility of ion j

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Copyright information

© Plenum Publishing Company Ltd 1973

Authors and Affiliations

  • R. Fernández-Prini
    • 1
  • M. Spiro
    • 2
  1. 1.Department of ChemistryUniversity of MarylandCollege ParkUSA
  2. 2.Department of ChemistryImperial College of Science and TechnologyLondonEngland

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