346 PROPERTIES OF ELECTRICALLY CONDUCTING SYSTEMS 



expressing the relation between the equivalent conductance A and the 

 concentration C of the solution: 



(126) 



where 



u 

 (127) Si(u) = 



u 



(128) Ci(u) = j ^^ du, 



(129) ip(M)=B(Ao A), 

 and 



(130) u 



Here A , A and are constants. A is the limiting value which the 

 equivalent conductance approaches as the concentration decreases indefi- 

 nitely. This equation is of the form: 



(131) (A A) nrtpkiC 1 / 8 ). 



It is evident that, for a given solvent under given conditions, the 

 conductance function will have the same form for different electrolytes 

 according to this theory. If the values of ip (u) and of u are represented 

 graphically, then it should be possible to transform the curve for one 

 electrolyte into that for another by merely altering the scale of plotting. 

 It is obvious that this condition will be very nearly fulfilled in aqueous 

 solutions of strong binary electrolytes, since the ionization of different 

 electrolytes at lower concentrations is practically identical. If Hertz's 

 theory held strictly, the value of the constant A would be predetermined 

 by the nature and condition of the solvent and would be independent of 

 the nature of the electrolyte. The difference in the values of the con- 

 ductance of different electrolytes, therefore, would be accounted for by a 

 difference in the values of the constants A and B, and the different con- 

 ductance curves should be transformable one into the other by merely 

 altering the values of these constants; or, if A is otherwise determined, 

 by merely altering the value of the constant B. 



