74 



SPECIFIC GRA VITT OF A MIXTURE. 



the specific gravities are s, s f , s", etc. Then, since the 

 weight 'of the volume v is 62.5sv (Art 30, Sch.), and so for 

 the others, the weight of the mixture is 



62.5 (sv + s'v' + s"v" + etc.) = 62.5 2 (sv)', 

 and the volume of the mixture is 



v 4. v ' + v" + etc. = S (v) ; 



and therefore, if S be the specific gravity of the mixture, 



we have 



62.5# S (v) = 62.5 S (sv) ; 



(1) 



If by any chemical action the volume becomes V instead 

 of 2 (v), the specific gravity will be 



S (sv) 

 --- 



(2) 



(2) When the weights and specific gravities of the 

 components are given. 



Let w, w', w", etc., be the weights of the bodies, and s, 

 s', s", etc., their specific gravities. Then, as before, since 

 10 = 62.5sv, and so for the others, the volumes are respect- 



-, etc., and the whole volume is 





62.5' 62.5s' 



w w 



62.5s + 62.5s 



> , etc S (-} 

 .5s' 4 '62.5 W' 



and the whole weight is 



w + w' + etc. = S (w) ; 



and therefore, if S be the specific gravity of the mixture, 

 we have 



