Weight and Volume in a Mixture of two Bases. 289 



Art. XVL — Formula for discovering the Weight and Volume 

 in a Mixture of tioo Bases; by Dr. Jno. M. B. Harden, 

 Riceboro, Liberty County, Geo. 



TO THE EDITORS. 



In the 12th volume of the " Philosophical Magazine," there 

 is a paper by Mr. Golding Bird, upon the subject of " indirect 

 chemical analysis," in which he gives two formulas by Poggen- 

 dorff, for the quantitativ^e estimation of two different bases in 

 mixtures of those bases. These formulee are sufficiently exact, 

 but probably not as simple or comprehensive as might be desired. 

 He alludes also to one annexed by the French translator to the 

 "Analysis of inorganic bodies-," by Berzelius which I do not 

 find in the English translation of that work. As it may be well 

 to multiply methods for the solution of such problems, I send 

 you the following formula, which, although from the well known 

 principles which it involves, I cannot suppose it has any claim to 

 novelty, I have never seen proposed for this object. If you 

 should consider it worthy the notice of the analytic chemist you 

 will please insert it in your highly useful Journal. 



In the mixture of two bases it is proposed to find the weight 

 and volume or bulk of each base, by having given the specific 

 gravity of each ingredient together with the specific gravity of 

 the mixture and its weight. Now since the specific gravities of 

 each base or ingredient of the mixture are supposed to be known 

 in most if not all cases, all that is necessary will be to determine 

 by experiments the specific gravity and weight of the mixture, 

 in order to find the quantities desired. Let A=sp. gr. of one in- 

 gredient, B = sp. gr. of the other, and C = sp. gr. of mixture. Let 

 alsothe weight of the mixture=l, and x and 2/=the weights of 

 the bases ; then it is evident that 

 X j_y __x-^y _1 

 A ~ 



These equations reduced give 





AC-AB T AB-BC 



x=- and y= 



AO-BC ^ AC-BC 



Multiply these fractions by the number expressing the weight 



of the mixture, and we have the weight of each base or ingredi- 



VoL. xxxvii, No. 2.— July-October, 1839. 37 



