68 IONIZA.TTON OF COMPLEX 



mining concentration when state of ionization is given. And I 

 take this opportunity also, of comparing it with two other 

 methods which have recently been employed, of determining the 

 ionization coefficients for solutions of the same degree of com- 

 plexity. 



Determination of the ionization, concentrations being given. 



It was shown in the papers cited above, that if the two 

 electrolytes in a complex solution may be supposed to occupy 

 distinct portions or regions of the solution, if the law of kinetic 

 equilibrium may be supposed to be applicable both to these 

 regions singly and to the whole volume of the solution, and if 

 the concentration of ions of each electrolyte in its own region 

 may be supposed to depend at a given temperature on the dilu- 

 tion of the electrolyte in its region, merely, and to depend on 

 dilution in the same way as in the case of a simple solution of 

 the same electrolyte, the relations between the ionization coeffi- 

 cients, the amounts of the electrolytes present, and the dilutions 

 which they must be supposed to have in their fictitious regions, 

 may be expressed by four equations. If we denote the electro- 

 lytes by 1 and 2, the concentrations (in gramme-equivalents 

 per litre) of the solution with respect to them by N x and N 2 

 respectively, their ionization coefficients by a l and a 2 and their 

 regional dilutions (in litres per gramme-equivalent) by V l and 

 V 2 respectively, these equations take the form : 



(1) 



N 1 V 1 + N 2 V 2 = 1 , ... (2) 



' (3) 



V 5 ), - - - (4) 



the functions f^ and/ 2 being determinable by means of suffi- 

 ciently extended observations of the conductivity of simple 

 solutions of 1 and 2 respectively. 



