( o.) o ) 



regTiliitiii'i- llic iiiiinioicciil.ir rcaclioii where llic pi'odncls ol" i-caclioii 

 act (p(\sili\('lv) autocalalvticallv. 



Foi' a similar case. ()st\\ai,1)'i lias uixcii tlic (Mjiialioii of rciuMioii: 



,/.r 



\[' \\v iiik'uratc lliis ('(|iiali(»ii and lake ,/■ = (), / = () we tijid : 



in Ihis e(|iiali(>ii '/ is llie ('(titetMil ralioii al the l)eL>iiiiiiiiL>', ,/• Ihc 

 aiiioiiiil of siiuar iii\ei-lod al the pcM-iod /. l\ and /■, are the Nclocih' 

 constants. If we call 



ak., 



77 = ^ ^'^ 



we obtain the expressie »n 



1 , (r4-e,v 

 /• = . /. -^— (4) 



' ^(1 + f) "-.'• 



w liich is more eouNenieid lor pui'poses of" calculation. 



In this |»ai-ticidar case p=1, therefore foi- -/ = 1 /■, = Z-.^. 

 Kipiation (4) jiow I>econies: 



1 a-\- .,' 



2k,^-l.-~~ (5) 



f a - .?; 



'1. Tf we measure Ihe velocity of the emulsin action il a|»peai-s 

 that the "constants" of llu» louai'ilhmic e.\|)ression keep on decreasing 

 as lias alrea<l_v heen slated hv 'I'ammann "■''). 



As il appears from IIkmu's experiments '') that the enzvine snlfers 

 no cliaimc at least w hen the time of reaction is a short one, it was 

 exident thai the cause of the phenomenon was to he soiiuiit in a 

 neuatixe aiitocatalvsis iiamelv. In the ri'tdi'ddliiiii in il iirncc of the 

 in-tid nets nf i n rcfshni . 



in a similar case die eipiatioii of the reaction assumes, accoixiinu' 

 to OsTWAi.i) ') this form : 



=:[k^-k_^.r){n-,.) (C) 



at 



After inteui-ation and calliiiL'' ./• :r= / =:i 0, wc lind : 



1) Lehrhiicli lifi- nllL^ciucincii (üicniic 11. 'J. 1 Tcil. S. 'JCii, :i<i."i. 

 -) Zcitsclir. Iiir |ilivsik,ilis(lie Clioniic 18. p. 12(1 (IS'.).'»). 

 •■5) Tlu'-sos r. IOC. 107. (I'aiis 11)0:3). 

 4) I.e. 271. 



