CALCULATIONS. 



199 



These ratios are molecular ratios, and must be multiplied by 

 the molecular weights of the acids (88, 74, and 60 respectively) 

 to work out the percentage ratios. 



A distillation of propionic acid was made ; this was estimated 

 to contain, from the results of distillation in fractions, 2 per cent, 

 of acetic acid, and 2*6 per cent, of butyric acid as molecular 

 ratios. A solution of 0'0394 N was made, and 100 c.c. were 

 distilled. 



TABLE XXXVIL MIXTURE OF THREE ACIDS. 



* Table XXXIV. 



| Table XXXV. 



TABLE XXXVIII. CALCULATION OF 2? -. 



b a 



(1) = 0-4303 - 0-7086 - - 0-2783 x 2 = - 0'557 



(2) -0-4530-0-6651= -0-2121 x3= -0-636 



(3) = 0-4756 - 0-6091 = - 0'1335 X 2 = - 0'267 



(4) = 0-4963 - 0-5636 = - 0683 X 1 = - 0'067 



(5) =0-4530 0-5356= 0-0826} 9 _ni9i 

 = 0-4756 - 0-5356 = - 0-0600 J-X -, = . ... 

 = 0-4963-0-5356= 0-0393 J 3 



yvi _.,_, ft 



Similarly 2?- (it can also be worked out from the sum and 

 Ay - 



the column) is 1-7 17. 

 Ax 



1-648 

 1-717 



0-960. 



The total of the nine values of -, - 

 a 'o a 



4'9372, and of the 

 nine values of -=4-9195 X 0'96 = 4'7233, leaving 0-214, 



which divided by 9 = 0'024. 

 The composition of the acid is, therefore, in molecular ratios. 



Propionic acid, . . . 0'960 or 95 - 9 per cent, by weight. 



Butyric acid, . . . 0'024 2-8 



Acetic Acid, . . . 0-016 1-3 



