108 ON THE CALCULATION OF THE CONDUCTIVITY OF 



tude as to have a sum equal to p times the sum of the ordinates 

 of the points on the curves determined by the dilutions 

 (V/ and Vy respectively) before mixing. The value of the 

 abscissa common to the two points thus determined, gives the 

 concentrations of ions of both constituents in the mixture. The 

 corresponding ordinate of the first curve, and that of the second 

 curve multiplied by n 1 /n a , give the dilutions (Vj and V 2 ) of 

 the constituents in the mixture. The products of the common 

 value of a/V into V x and V 2 are the required values of a l and 

 2 respectively. 



The above process will be more readily understood by refer- 

 ence to the accompanying diagram. A B is the curve whose 

 abscissae are the values of /V and whose ordinates are the 

 corresponding values of V for a series of solutions of electrolyte 1. 

 If we are to determine the concentration of ions in a mixture of 

 equal volumes of solutions of electrolytes 1 and 2 respectively, 

 we draw the curve C D whose abscissae are the values of a/V 

 and whose ordinates are njn^^ times the corresponding values of 

 V, for a sufficiently extended series of solutions of electrolyte 2. 

 Let O F and F E represent the concentration of ions and the 

 dilution ("VV) of the solution of electrolyte 1 which is to be 

 mixed with an equal volume of a solution of electrolyte 2, and 

 let O H and H G represent the concentration of ions and 



