104 MASS. EXPERIMENT STATION BULLETIN 166. 



The neutralization number (ui) and molecular weight (mi) of the 

 acids in the neutral fat can also be calculated from the ether number (e) 

 and the percentage of total fatty acids (T) and free fatty acids (A) by 

 the formula — 



n:=-^ (7) 



T — A may be derived from formulas (2) and (16). 



56108 



(8) 



Mean Molecular Weight and Saponification Number of Neutral Fat. — 

 The molecular weight (m2) of the neutral fat can be calculated from the 

 ether number (e) and the percentage of neutral fat (N) as shown above 

 by the formula — 



^^^ 3X56108 ^^ or 

 e 

 168324 N .gv 



or from the mean molecular weight (mj) of the acids of the neutral fat: — 

 ma =3 mi +38.016 (10) 



The saponification number (S2) can be calculated from the mean molec 

 ular weight (m2) by means of the formula — 



32 = 3X56108 



(11) 



Fatty Acids and Glycerol in Neutral Fat. — The percentage of fatty 

 acids (F) and of glycerol (G) in neutral fat can be calculated from the per- 

 centage of neutral fat (N) and the mean molecular weight (m^) of the 

 fatty acids in the neutral f at : ^ — 



(RCOOsCaHs+S H2O = 3 RCOOH+C3H6(OH)3 



■p = 3mi — X N (12) 



3im+C3H2 



3 mi +38.016 ^ ^ 



The percentage of glycerol (G) in neutral fat (N) can also be calculated 

 from the percentage (F) and molecular weight (mi) of the acids of neutral 

 fat b}^ the formula — 



j^ _ 3 mi +C3H2 ,, p ^j. 3 mi+38.016 ,,.p 



3 mi 3 mi 



Q^ C3Hs(OH)3 ^ 92.064 



3mi+C3H2 3 mi +38.016 



1 A close approximation can usually be obtained by using the mean molecular weight of the 

 total fatty acids. 



