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, /S and 7 from all of the observations by the method 

 of least squares, we obtain : . 



X X 10^ = 26880 61 - 475800 foi^ - 28.98. 



In the accompanying table (Table XXVIII) the experimental 

 values of X X 10"^ for 1 per cent solutions of casein in KOH of 

 various concentrations (= 6i) 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 XX 10^ experimentally 

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

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

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

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



TABLE XXVIII 



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

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

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

 mental determination of X X 10^ 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 KCl (Cf. Appendix). The fact that 

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

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

 concentrations, does not appreciably influence the conductivity of potassium 

 caseinate solutions. 



