PROPORTION OF INORGANIC RADICAL 



243 



conductivities of the solvent and of the solution were determined 

 at 30 degrees, and computing the most probable values of the 

 constants a, /3 and 7 from all of the observations by the method 

 of least squares, we obtain : 



X X 10 5 = 26880 bi - 475800 bj - 28.98. 



In the accompanying table (Table XXVIII) the experimental 

 values of X X 10~ 5 for 1 per cent solutions of casein in KOH of 

 various concentrations (= &i) and those calculated from the 

 above formula are compared. In the first column are given the 

 alkalinities of the solutions to which casein was added (= 61); 

 in the second are given the values of X X 10 5 experimentally 

 ascertained; in the third the calculated values of X X 10 5 ; in the 

 fourth the difference (= A) between the experimental and the 

 calculated values of X X 10 5 ; and in the fifth the possible metrical 

 error (= e) in the experimental determination of X X 10 5 . 



TABLE XXVIII 



It will be seen that the deviations of the calculated from the 

 experimental values of X X 10 5 are nearly always less than the 

 possible error, due to instrumental sources alone, in the experi- 

 mental determination of X X 10 5 , while the algebraic sum of these 

 deviations is negligible. The formula therefore represents, in a 

 highly satisfactory manner, the relation between 61 and X for 

 1 per cent solutions of casein in KOH-solutions. 



therefore, contained varying amounts of KC1 (Cf. Appendix). The fact that 

 the irregularity in KCl-content does not disturb the regularity of the relation 

 between X and 61 is further proof (Cf . Chap. VIII, 1), that KC1, in moderate 

 concentrations, does not appreciably influence the conductivity of potassium 

 caseinate solutions. 



