35 
these  reaction  rates.  Above  the  upper  limit  the  values  of  K  for  a 
monomolecular  reaction  rate  become  increasingly  small,  and  below  the 
lower  limit  they  become  increasingly  high.  The  marked  character  of 
the  initial  retardation  and  final  acceleration  is  also  well  illustrated 
when  the  percentages  (enclosed  in  brackets  in  Table  17),  lying  with¬ 
out  the  limits  just  given,  are  calculated  according  to  the  mean  values 
of  K  obtaining  within  these  limits.  Two  interpretations  may  be  placed 
upon  the  different  course  taken  by  the  reaction  at  its  commencement 
and  its  termination:  it  may  be  that  the  reaction  rate  is,  in  itself, 
complex  in  character,  becoming  simple  and  monomolecular  in  one 
stage  of  its  course  ;  or  it  may  be  that  the  physical  conditions,  under 
which  the  reaction  takes  place,  are  such  as  to  influence  its  rate  at  the 
beginning  and  again  towards  the  end  of  the  haemolysis,  but  not  to  any 
considerable  extent  in  the  rest  of  its  course.  In  favour  of  the  latter 
interpretation  is  the  fact  that,  on  the  one  hand  alkaloidal  quinine  is  in 
colloidal  solution,  and,  therefore,  cannot  enter  into  a  chemical  reaction 
so  readily  as  if  it  were  in  true  solution,  while  on  the  other  hand  the 
red  cell  is  surrounded  externally  by  a  membrane,  which  may  offer 
physical  difficulties  to  the  entrance  of  the  haemohlic  agent  into  its 
interior. 
Table  i8.  Determination  of  value  of  fx  from  experiments  recorded  in  Table  17. 
No.  of 
Experi¬ 
ment  . 
Temperature 
of  experi¬ 
ment 
Value  of  K 
determined 
by  experi¬ 
ment  (Table 
•7) 
Value  of  calculated  from 
formula 
=  e  ^  V  T-,  T,  y 
Percentage 
of  red  cells 
at  beginning 
of  experi¬ 
ment  deter¬ 
mined 
by  haemo-* 
globino- 
meter 
Value  of  K 
calculated 
from 
fX  r=  [5,000 
I 
37“  t:. 
0*0078 
r;{70  and  i-ijo 
mean 
0*408 
0*0074 
3.“C. 
0-0043 
^37®  and 
I ! 500  ^ 
0-408 
0*0046 
11 
Z5“  C. 
0*0032 
iai-  and 
8800 1 
0-408 
0-0028 
2 
37°  C. 
0*0071 
and  /si® 
J  5000 
0*400 
0*0071 
>5 
31°  C. 
0*0044 
0*400 
0*0044 
)? 
25°  C, 
— 
0*400 
0*0027 
3 
37°  <-'■ 
0*0102 
/370  and  /.qjo 
23000) 
0-540 
0*0087 
n 
31°  C. 
0*0047 
and  /.J50 
14000 
0-540 
0*0054 
}) 
25’  C. 
0*0040 
4,1=  and  /.jj” 
4000  1  ^ 
0-540 
0*0033 
4 
37°  C. 
0*0030 
and  /hi® 
22000  1 
0*528 
0*0026 
31°  C. 
0*0015 
^37°  and 
18000 
0-528 
0*00 1 6 
)3 
25“  C. 
0*00095 
r.si=  and  (jjo 
14000  I 
0-528 
0*0010 
