1113 
into equation 2, in which we write «,— T'n for F, where e, and 1, 
represent the above values of energy and entropy of the transitio- 
nal states, and in which we separate the functions of concentration 
as separate factor, we get: 
de 
Hae 
> ee 
20/8, -1= rote fe AT- 1 a dT+RT Evje 47% 
: = id 27 
= Ce Rl xc, (4) 
In this equation ac, represents the recurring product of the con- 
centrations of the reacting substances. The factor of ac, is the so- 
called constant of velocity and is generally represented by the letter 
i. If we now determine the value of [nk and differentiate it with 
respect to Twe find: 
Ave + ZY fo dT 
es RR, „+ L (de dm : 
En RT? ee Rr Nae ar) © 
If now & and » have the signification of energy and entropy 
(free from concentration) of the transitional state, the last term of 
the second member of equation 5 is zero; this is clear when we 
consider that = e,— 7’, can contain no functions of volume. 
Hence equation 5 reduces to 
dlnk & — & 
CE ie 
(6) 
in which ¢, represents the energy of the first system at the tempe- 
rature of reaction. 
If we now return to the reversible (gas)-reaction, the relations 
dink, eine den dink, _ & — &y (7) 
dT RT? dT TN ee 
will exist for the two partial velocities. 
Hence the splitting up of the energy difference « — ey into 
two pieces er — & and ¢,— ¢,, Is very prominent. If we now con- 
sider that in general the velocity of chemical reactions increases 
with the temperature, it is clear that e, will be greater than e7 
and «77. The energy of the transitional states is therefore greater 
than the energies of the systems before and after the reaction. 
Accordingly this result necessarily leads us to the following concep- 
tion: On coincidence of the “kritische Räume” of the reacting 
molecules gain of energy takes place, in other words there is work 
