110 ON THE CALCULATION OF THE CONDUCTIVITY OF 

 From the equations 



V.--JL, and V,'=J_, 

 it follows that 



/ n i 



n 



Hence / e and h g being proportional to the volumes of the 

 solutions before mixing will be unequal. As before, we have 

 to determine points j and A; on curves c d and A B respectively, 

 having a common abscissa I and so situated that if p is equal 

 to unity, 



k l+j l = e f+g h, 



and if p is not equal to unity, 



k l+jl=p(ef+gh). 



If, in cases in which p is equal to unity, the points j, k be> 

 properly selected, it is obvious that a line i m drawn through i 

 the point of bisection of e g, parallel to the axis of ionic concen- 

 trations, h, will bisect j k. Hence the points j, k, will be 

 easily determined by inspection. If p is not equal to unity, the 

 points corresponding to^' and k may be determined by proceeding 

 in a manner similar to that used in the case of a mixture of 

 equal volumes of the constituent solutions. To avoid complica- 

 tion the construction is not inserted in the diagram. 



It will be obvious that the values of a \ and a a for a solution 

 containing two electrolytes with a common ion, may be 

 determined in the above way, whether it has been formed by the 

 mixing of two simple solutions or not. It may always be 

 imagined to have been formed in this way, and in cases in which 

 p is not negligible, if data are not available for its determination, 

 special density measurements may be made. 



DATA FOR THE CALCULATIONS. 



Bender's paper contains all the data required for the calcula- 

 tion of the conductivities of mixtures of solutions of potassium 

 and sodium chlorides, with the single exception of the specific 



