70 ROYAL SOCIETY OF CANADA, 



(c) from the rolaliou of dissociation to dilution, 







etc. 



p equations, 



in ail 2]) equations, for the determination of;) <^'s, and p T^'s. 



As in the former case, these equations may be most readily solved 

 by a graj^hical method, curves representing the relation betAveen the con- 

 centrations of ions, and iV"i, iV^a- • ■ ■ ^^p times the dilutions, being drawn 

 for the respective electrolytes from experimental data with regard to the 

 conductivities of their simple solutions, and points being found on these 

 curves, by inspection, having the same abscissa and having ordinates 

 whose sum is equal to the volume of the solution. The common value of 

 a/ V and the values of the dilution, T",, V.^, etc., of the vainous electro- 

 h'tes in the complex solution are thus determined, and the values of the 

 a's may then Ix' found by multiplication. 



Case III. — Solutions containenu Two Electrolytes HAviNCi no 



Common Ion. 



In this case there will in general be other electrolytes in the solution 

 besides those added to the solvent in its pre])aration, these being formed 

 by the process of double decomposition. Thus a solution ])repared by 

 the addition of sodium chloride and potassium bromide to water will con- 

 tain also sodium bromide and potassium chloride. Let 1 and 2 be the 

 electrolytes, with no common ion, from which the solution was prepared ; 

 and let .3 and 4 be those formed by double decomposi- 

 tion. Then one ion of 1 will be common to it and 3, 

 its other ion being common to it and 4 ; and simi- 

 larly 2 will have one ion in common with 3 and the 

 other in common with 4. It may assist the imagin- 

 ation to represent the constitution of the solution by 

 the diagram in the margin. 

 The application of the law of e<[uilihi'ium to electrolyte 1 throughout 

 its own region gives : 



(6) 



C, — !- = 



th 



as in Case I. A similar application to the other electrolytes gives three 

 other similar equations. The application of the law to electrolyte 1 



