130 ON THE CALCULATION Of THE CONDUCTIVITY 



is given, according to the dissociation theory, by the equa- 

 tion : 



, .. (A) 



pv +v 



where v 1} v 2 are the volumes, and n lt n 2 the concentrations of 

 the solutions mixed, p gol , n^^ ^ ne specific molecular conductivi- 

 vities of simple solutions of the electrolytes at infinite dilution, 

 a l and 2 the ionization co-efficients of the respective electro- 

 lytes in the mixture, and p the ratio of the volume of the 

 mixture to the sum of the volumes of the constituent solutions. 

 1 Prof. MacGregor has shown that the ionization coefficients 

 in a mixture of this kind may be found by the solution of four 

 equations, and I have pointed out in a former paper 2 that by 

 throwing these equations into other forms and applying a 

 graphical method they may be solved with little trouble, even 

 in cases in which but few observations of the conductivity of 

 simple solutions of the electrolytes in the mixtures are avail- 

 able. The forms of the equations referred to are as follows : 



k, = / 2 (C 2 ), 



where the /c's and C's are the regional conductivities and 

 regional concentrations, and the N's the concentrations of the 

 mixture, with respect to the electrolytes 1 and 2 respectively. 

 By the regional conductivity and the regional concentration of 

 an electrolyte in a mixture are meant the conductivity and con- 

 centration of the portion or region of the mixture which the one 

 electrolyte may be supposed to occupy to the exclusion of the 

 other. If there is no change of volume on mixing, they are the 

 conductivities and concentrations of the isohydric constituents 

 of the mixture. 



1 Trans. N. S. Inst. Sci., 10, 68, 1898-9. 

 * Trans. N. S. lost. Sci., 10, 113, 1899-1900. 



