118 MESSRS. A. SMITHELLS, H. M. DAWSON, AND H. A. WILSON: ELECTKICAL 



Curve XI. 



34 



Variation of i with E.M.F. 



VoUas 



We will conclude this section by showing what relation must hold between the 

 constants I, k h and k?, in order that the equation used by ARRHENIUS (see ante, p. 113), 

 C = A/(E), where /(E) has the same value for all solutions, may hold good. 



t* 

 Solving I i = kt for i, we get 



E 



Now C = i + *<E. 



Substituting the above value for i, we have 



E* 41 



2 Ti + V 



c = 



- V/4IA, + E s >] 



-TF!*' 

 ^ti 



fc, (E - 



+ P) 1 



2K- S 



jfc 

 -~ 



From this it follows that if Ik* and -~ have the same values for all solutions, then 



/(E) in the equation of ARRHENIUS, C = A/(E), will be of the same form for all 

 solutions. 



According to THOMSON and RUTHERFORD (loc. cit.), k. f should be a constant for any 

 one substance, whatever the concentration. 





