SYSTEM NAPHTHALENE-CHLOROBEXZENE-PHEXOL, ETC. 37 



Inversely 9. has been calculated with these constants. 



No. 2 n 4 G 7 8 9 10 11 



t 72.87° 67.98° 63.58° 54.64° 51.02° 45.59° 40.20° 34.59° 29.60° 



log^(obs.) 1.25 1.23 1.33 1.64 1.87 2.22 2.44 2.78 3.97 



log5î(calc.) 1.01 1.21 1.40 1.59 1.95 2.20 2.46 2.74 3.00 



The numbers refer to the points in Table 2. The agreement is 

 tolerable, and it may be said that Ä can be expressed by the 

 logarithmic equation. 



We may now proceed to calculate x. Since 



JV, — J 



c, = Vsv^. ; 

 and as the sum of all the molar fractions is unity, 



Cg + Viûv, + Cß + Ca = 1, 



where Ca = the actual molar fraction of naphthalene, 

 Cr = the actual molar fraction of chlorobenzene. 



Put 



Cb 

 ^ = a, 



Cl + 3 Cg 



i.e. a = the ratio of the number of molecules of chloro- 

 benzene and phenol in the fusion curve. 



Hence 



Cg + ^^. + « (fi + 3 Cg) + Ca = 1. 

 /. (1 + 3 a) Cg + (1 + «) VäU\, - {1-Ca) = 0; 



(i+«)Vi^3/-__(i:^^ = 0. 



01* "^^+"1 + 3«"^ 1 + 3« 



