613 



in which a^ = 4(?i , ^73 = 9r/i , a,., = 2a, , a,^ = 3^^ and «,3 = Qa,, 

 so that we get: 



as n, 4- 2?23 + 372.3 = (1 — '^"2 — ^-3) + '^. + •^'3 = ^• 

 We may therefore write : 



P-i- ~^{v-b) = mT, (1?) 



in which h is given by (t), and (see above) 



= 2n, = 1 — 7. .^^ — Va •^'■3 - etc (y) 



Tlie following equations hold for the dissociation equilibrium of 

 the double, triple etc. molecules resp. (cf. my already frequently 

 cited Teyler paper J 908: Theorie générale de I'association etc., 

 p. 5, and also These Proc. of June 23, 19J1 (Solid Stale VII), for- 

 mula (28)): 



(l-.t',— ^3-...)^ _ (7//V.+1 g-9Viirg-0'+«A^)2A.6:/i2' 



or taking the equation of state (^) into account : 





(8) 



in which C\ , Cj , etc. are the dissociation constants resp. of the 

 double, triple etc. molecules ; y^ , y, , etc. the changes of the specific 

 heat in the dissociation, divided by R, viz. y^ = {'2k^ — k^) : E, 

 Ys = (3/6-1 — ^3) : ^^> etc. ; q^, q^, etc. the heats of dissociation (energy 

 changes) '1{<\)^ — (o^o, ^{^i)o-^^^z)ü^ etc.; A,i, A36, etc. the variations 

 of b already introduced above, which must now resp. be multiplied 

 by 2, 3, etc., the above equations referring to ?i-fold molecular 

 quantities, and not to a single quantity. * 



The first member contains the relations of the molecular concen- 

 trations, viz. 



40* 



