OF AQUEOUS SOLUTIONS. BARNES. 125 



curve of an electrolyte exhibits only slight curvature and can 

 therefore be drawn with fair accuracy from a small number of 

 observations. 



The above equations may be expressed in terms of specific 

 conductivity and concentration as follows. Since 



lf(aoi wl 

 and T*=^''- ' ' T <) 



* 2 "oo2 



where fc t and L 9 are the specific conductivities of the electrolytes 

 in the regions which they respectively occupy in the mixture, 

 and the JM^-'S the specific molecular conductivities at infinite dilu- 

 tion for each electrolyte, equation (4) becomes : 



A !. , 



or, ^=^ L1 ^ 2 . . (10) 



rs 



From equation (5) we obtain : 



where C t and C 9 are the regional concentrations. Equations (6) 

 and (7) are based on the fact that at a definite temperature the 

 conductivity is a function of the concentration alone. They 

 therefore take the following forms : 



and k,=f,(C 9 ). (13) 



There are thus four equations (10 13) for the determination of 

 the four unknown quantities : /q, & 2 , C a , and C 2 . 



These equations can be solved graphically. Equation (12) is 

 employed by drawing a curve having as abscissfe the values of 

 the specific conductivities and corresponding values of the con- 

 centrations as ordinates. Before equation (13) is used the values 



