( 70.<^ ) 



da 

 Hence we must calculate r-^. From (6) follows: 



d.c 



1 da 1 i da) I da 



\ l_„_^(l_,r)_ -\ 



« dx .« -|- o ( 1 — ,v) I dx I 1 — « dx 



da) 

 — « + (1— .r)— =0. 



1+«(1— A') ( dx 



After reduction we tind from this : 



da « ( 1 — a) 



dx .r -|- 2 «(1 — x) 



Substitution yields now: 

 dlogc,^ 1 a{2—x) 



(a) 



,/.. (l_.,)(l-f «(!_,,)) ' (i+«(i_,.))(.,.|_2«(l_.r)) 



(l—x)(xi-2a{l—x)) 



dloa Cf, /. , . 



For — ;—- we find m tiie same way : 

 dl 



d log c„ Ö io^^ C(| Ö Zo^ f „ c?a ö Zo_9 c„ c^a 



because c„ is not directly dependent on T. This gives further (see 



above) : 



dloge^ 2 — x da 



~dT~ "" ~ (1 — «)(!+« (l—.r)) dl'' 



da 

 So we calculate — . From (6) follows: 

 dT ^ ^ 



1 da 1 — x) da 1 da 1 — .r da ). 



adl''^ .r + «(l-,r) rfY' "^ 1— « ^' ~ l-f«(l— .r) dT " ^RT"' ' 



ö^ogiT ;i , , , , ,. . . 



as ^ = 'nri' ^'^sn P. represents the heat ot dissociation. 



By solution and reduction we find: 



da _ ;. « (1 — «) (1 +« (\ — x) ) (.«+« (1— .r) ) 

 df ~ B/T x^2a{\—x) 



In consequence of this we get: 



dlogc,_ X «(2-.r)(.r + «{l— *•)) 



dT ~ "" Kn x^2a{l — x) ' 



d log c„ d log c„ 



If we now substitute the values found for — ; — and — :^—— in 



dx dl 



(h) 



