846 SIE B. C. BEODIE ON THE CALCULUS OF CHEMICAL OPEEATIOXS. 



On each hypothesis the value of ^3 is the same. Hence we have— 



Symbol of Cadmium. — The density of the vapour of cadmium, as ascertained by Deville 



and Troost, is 56'7 on the hydrogen scale, and in the decomposition of the chloride of 



cadmium equal volumes of chlorine and cadmium are formed. 



Hence putting 



oTy^'iC^ as the symbol of chloride of cadmium, 



a"%"'«2'' as the symbol of cadmium, 



a-)^ as the symbol of chlorine, 



and 

 whence 



{ar-)C^K^y^ _ {ai^y^rt^-^^xJ^y^^ 



y^m = y^^y^n. 



Now the specific heat of cadmium is 0"05669, whence the calculated value of A 



/ 3-''89 \ 



(putting A=:Q.Q5ggyj is 58, and W=A. 



Hence, assuming in conformity with the principle previously laid down, that — — =XA, 



where X is a positive integer, since W=A, and y-^ and y^ have no common measure, yi=l, 

 and the above equations become 



Wi=%2+y2»»i' 



TO2= 3'2«2' 



