Thermodynamical Theory of Ternary Mixtures. 947 



that the further addition of Of raises the chemical potential 

 of Co, i. e. that 



>0. 



BF 2 



From equation (6) we see that 



^ >0. 



BM 2 

 From equation (4) and inequality (15) we see that 



<0. 



BF 



From equation (5) and inequality (16) we see that 



^ <0. 

 From equations (7) and (8) respectively we see that 



<o, 



5F 2 

 3M 



and dFi „ 



3M <0 - 



We may therefore draw the following conclusions with 

 respect to the variation of the chemical potentials with the 

 composition of the mixture. 



(1) The further addition of one component raises the 

 chemical potential of that component, and may either raise 

 or lower the potential of another component. 



(2) If the further addition of a component A raises (lowers) 

 the potential of a component B, then the further addition of 

 B raises (lowers) the chemical potential of A. 



(3) If two components thus cause, by their further addition 

 to the mixture, a mutual raising of each other's potentials, 

 any other two components must cause a mutual lowering. 



4. Equilibrium between Liquid and Vapour Phases. 



Suppose that a liquid mixture of C , C l3 and C 2 is in 

 equilibrium with a mixture of the vapours of these com- 

 ponents. If for quantities relating to the vapour phase, we 

 use the corresponding symbol relating to the liquid phase, 

 with the addition of an asterisk, the equilibrium equations 

 may be written in the form 



f i (s 1 ,s !l ,Tl,e)=fi ( (s l *,s i *,U i e) ...(1=0,1,2). . (24) 



