544 OSTERHOUT— DYNAMICAL THEORY OF ANTAGONISM. 



NaoXCaCl^ (see Fig. 4).^^ Hence we assume that Na2ZCaCl4 acts 

 as a negative catalyzer to the reaction M -^B. 



In some instances the optimum proportion in antagonism experi- 

 ments turns out to be NaCl 100 -|- CaCl, i. In this case we should, 

 following the course just outlined, assume that the salt compound is 

 Naio^CaCli2- It may be objected that this calls for a reaction of 

 a high order, the occurrence of which seems not very probable. 

 But it must be remembered that the reaction may take place by 

 a series of steps each of which represents a reaction of the second 

 or third order. Such cases are well known in inorganic chemistry. 

 In the calculations all these steps may be disregarded since only the 

 final equilibrium need be considered. 



An inspection of Table I. shows that the value of iv^ rises and 

 falls with that of K^ except that as CaCU increases the value of Ky 

 goes up more rapidly than that of K.^. This is also obvious from 

 Fig. I, which shows that the greater the per cent, of CaCla in the 

 mixture the greater the maximum attained. As this maximum de- 



Table II. 



Relation between (K^ -f- Kn) and Per Cent, of CaCL in Surface. 

 Constants obtained by trial. 



pends on the value of K^-^K^ it is obvious that the value of 

 Ky-^Ko must increase as the per cent, of CaCL increases. We 

 therefore assume that the value of K^ (like that of Ko) depends on 

 the amount of NaoXCaCl^ but that (unlike that of K^) it is also 



13 The figure makes the curve of Na-jXCaCL, bend more abruptly at the 

 apex than is actually the case, but it is so drawn because it is not desirable 

 to use more points in the calculated than in the experimental curve. 



