840 SIR B. C. BRODIE ON THE CALCTJLITS OP CHEMICAL OPERATIONS. 



its elements, if y be the number of units of the terchloride of antimony decomposed, 

 and yi the number of units of chlorine formed in the decomposition, 



whence, if ^g ^^ ^^^ greatest common measure of y and y^, y=.1y,^, and ^1 = 3^2 1 ^^^ 

 putting ^3 as the number of units of antimony formed, W as the density of antimony, 

 V as the density of chlorine, and Vj as the density of terchloride of antimony, 



3'aW=y2(2V,-3V), 

 and since V=:35'5, and Vi=114'25, as experimentally determined, 



y3W=y2l22. 

 Now the specific heat of antimony, as determined by Eegnault, is 0'05077 ; whence, 

 putting A=^, 



and since 2x64*4 ^128*8 maybe regarded as approximiately equal to 122, we may 

 assume, within the limits of error, that in the above decomposition 



y^^ly^K. 



Now three hypotheses may, as has been shown, be made as to the probable value of W, 



1. W= A, in which case ^3=2^2- 



2. W=2A, in which case yy= y^. 



3. W=4A, in which case 2^3= y^. 



Further, putting a^x,*"'*^"' ^^ the symbol of the terchloride of antimony, aiy^ as .the symbol 

 of chlorine, and a''y^'(f[^ as the symbol of antimony, we have 



whence 



2m3^2=%2+«y3' 

 2w,3/2=63/2+»^iy3' 



1. Now on the first hypothesis 3^3=2^/2, which is incompatible with any solution in 

 whole numbers of the first of these equations, which then becomes 



2m=3+2»: 



this hypothesis is therefore to be rejected. 



2. In the second case ^3=^2' ^^^ ^^ have 



2m =3+w, 

 2mi=6+«i,, 



