102 ON THE CALCULATION OF THE CONDUCTIVITY .OF 



volumes of the solutions of these electrolytes which are mixed ; 

 let them contain N x and N 2 gramme-molecules of the elec- 

 trolytes respectively ; and let a l and 2 be the respective 

 coefficients of ionisation in the constituent solutions, and there- 

 fore, if the solutions are isohydric, in the mixture also. Then, 

 according to the dissociation theory of electrolysis and the 

 more general theory of solutions on which it is based, the 

 condition that there shall be equilibrium between the undissoci- 

 ated and the dissociated parts of the electrolytes in the simple 

 solutions, is expressed in the equations : 



-N! (1-a,) 



Ci 



/ 



\ 



N 



d- g g) m ( n "I N 2\ n 2 N 2 



t'a V ^'2 / ^2 



where ci and c 2 are constants, i. e., are independent of the 

 values of N, v, and a. The condition that there shall be equili- 

 brium between the dissociated and undissociated parts of each 

 electrolyte after the mixture, in the case of isohydric solutions 

 which do not change either in ionisation or in volume on 

 mixing, is expressed in the following equations : 



I 

 \ 



N 2 



\r \wi n TVT 

 IN 2 ^ ^l_f N l, 



V-, +V n 



It follows from the first and third of these equations, that 



N 2 in a 



and from the second and fourth, that 



in a l Nj+71 2 N, n a 2 N 2 



v l +v 2 ~~v z 



Hence, 



in a N n a N 



