343 



Now we put: 



JS" (A) =: conseq. /, + ^t + + h+i = 



:S(Xz) = „ A.^,+ V, + .-.. + -^«+1 ^«+1 = \ . (12) 



:S (XV) = „ A^F, + ^.F, + . . . . -f ;„+! F,.+i=ol 



but not ^ {^x) aud ^ (XH). The ?i relations between A^ A, . . . ^„+i 

 are then defined again. Those relations now define the isovobimetrical 

 reaction in the invariant equilibrium £{x=zo). 

 Now it follows from (8) 



RT:S{Xx)v 



"'^>=— ^)f <i^> 



wherein the index V indicates that X^ A, . . . ;.„_j_i must be calculated 

 from (12) consequently from the isovolu metrical reaction. 

 Also we may put: 



:^ (;.) = conseq. A, + -^^ + . . . . + ^„^.i = 

 ^ M = ,' A,y, + X,y, + .... 4- ^„_,.i t/„+i = 

 ^ (A^) =:= „ X^z^ + A,^, + .... + A„+i ^„+1 = ) . (14) 



:^(A^) = „ A,//, + A,//, + .....f A,. + iiy„+i=0 



but 7iot 2 (Xx) and 2 {XV). The relations between Aj A, . . . ^„_j.i 

 are, therefore, defined and by this also <he isentropical reaction, 

 wliich may occur in the invariant equilibrium £'(cf = 0). Now it 

 follows from (8) : 



-^ (A V)h 



wherein the index H indicates that ^^ P., . . . . A„_|_i must be calculated 

 from the isentropical reaction, therefore from (14). 



From (11). (13) and (15) follows the relation 

 ^(AF) .:^{XH)v. ^{hv)H + :^{XH) . ^{kV)H . ^(A.r)F =0 (16) 



While the direction of the tangent to curve ^ in the point i(.^? = 0) 

 follows from (11), formula (13) is determining whether this curve is 

 going from this point towards heigher or towards lower temperatures 

 and (15) is determining whether it is going from this point to higher 

 or lower pressures. 



We may express all this also in the following way. When we 

 add a new substance to an invariant equilibrium, then it becomes 

 monovariant, the partition of this substance between the different 



22* 



