284 



in the phases F, F, . . . with the concentrations ,r, .r, ... In accor 

 dance with (13) and (15) (XXII) we now have: 



RT ' 



2. {iiV)H 



(dT), = ).,.t, + k^.v,-\-....=~2Q.x)v. . (7) 

 . (dP)^ — — n, *, - ft, x^. ... — 's: ((i.x)H . . (8) 



KT 



Willi tlie aid of (4) etc. we may also write for this 



RT 



rdT\ fdT\ 



(9) 



2(XH)v CdP\ /■dT\ 



TB + • • (l«) 



G 



It follows from (8) and (9): 



'dT\ ^ ^.M. fdT\ _^^,_ f^rr\ _ 



from (7) and (10) it follows: 



\dT):c 2(Xx)v\dT), J:(hc)v\dTj, • ■ ^ > 



and from (7) and (8) : 



^ {(^V)h fdP\ ft,.r, + fi, «, + . . . 



• , ■ — , ... (13) 



2ilH)v \dTj, A,.«, + A,;r, + . . . 



From (7) we see that we are able to express {dT)x witii the aid 

 of the isovolnmetrical reaction (1); it is apparent from (9) that, 

 however, we cannot express {d'l')x with the aid of the isentropical 

 reaction (2) only, but that we ninst know also the directions of the 

 monovariant curves {F^) [F,) . . . of the equilibrium £■(,<■ = 0). 



It appears from (8) that we are able to express {dP)x with the 

 aid of the isentropical reaction (2); we see, liowever, from (10) that 

 we cannot define {dP)x with the aid of the isovolnmetrical reaction 

 onlj but that we must know for this also again the directions of 

 the curves (i^,) (i^,) ... 



The direction of the monovariant curve E can be defined, as is 

 apparent from (13), with the aid of the isovolumelrical and isen- 

 tropical reaction; it follows from (11) and (12) that it can also be 

 defined with the aid of the directions of tiie curves (i*^,) (F,) .... 

 and one of both reactions. 



When we add a new substance A' which occurs in one of the 

 phases only, f.i. in F^ than we must put in (7) — (13) .r,^0 .i;,=0... 

 As now 2{Xx)y^ — X^ x^, it follows from (12): 



