351 



It seemed explicable to me therefore that in tlie esterification 

 reversely g ^ T^ was found. On second thoughts the latter, however, 

 appeared to be entirely erroneous. 



Let us first study the saponification of the triglyceride, and let 

 the velocity constant of the saponification of the secondary ester- 

 group be z=p.k,, those of the two primary estergroups =ki. Then 

 we obtain the following scheme : 



In the calculation of the relative concentrations of the different 

 mono- and di-glycerides we must now bear in mind that these con- 

 centrations are not mutually equal. 



We now find that after the time t: 



^ = (l-e-^^i')(l— e-*-'0' (6) 



T=zl - ^e-^'!'it — le-ht. (7) 



If in these equations we substitute p = l, we of course find back 

 the equations (3) and (4). 



It is now the question: what is the situation of the curve 

 ƒ(^, 7') = 0, when p^^, vvith regard to the curve g= 7''. 



For p > 1 we have according to (6) : 



1 



kit 



or 



g^{l-e->^^r. 1 + 



■kit — er-i'ht 



Further : 



or 



1— g-^i' 



-ki t g — plci t \ 



(8) 



T:=(l e-^.Ojl + i 



If we now put the fraction: 



g—kil — ,?~Mi' 



1 



= A, 



,~k, t 



(9) 



1— e-*i' 



in which, therefore A is positive or negative according as p is 

 greater or smaller than unity, the following equation follows from (8) : 



g = {l-e-h'y,{l + L) ....... (10) 



and from (9) 



