TEMPERATURE OF THE RATE OF A CHEMICAL CHANGE. 
191 
corresponding values of log log TYT in column 6 to the constant mean value of log on 
at the foot of column 7. From these values of log log xjx' are derived the values of 
\ogxlx' in column 9. If the times of the first, second, ... observations are sCj, ..., 
values of log xjx are obtained as the sum of the values of log xjx 2 , log ••• • 
Column 10 in the table contains these values of log xJx, as the sum of the values of 
log xjx' in column 9. Values of log x-^ are obtained by adding to the values of log xJx 
the values of log x. These values of log Xj in column 11 of the table are calculated 
by adding the values of log Xj/x in column 10 to the corresponding values of log x in 
column 3. The mean of these values of log x is taken to be the true value of log Xj, 
which is given at the foot of column 11. 
1. 
2, 
3. 
4. 
5. 
6. 
7. 
8. 
9. 
10. 
11. 
12. 
13. 
H 
H 
. 
f. 
X. 
SB 
bB 
bB 
. 
X. 
'S' 
s 
t>0 
’oS) 
bB 
bB 
bB 
bB 
bB 
bB 
bB 
bB 
o 
o 
o 
o 
o 
o 
o 
^ c. 
9 
47-2 
674 
— 
— 
— 
— 
— 
— 
— 
674 
674 
47-2 
12 
34-9 
543 
131 
117 
662 
455 
117 
131 
131 
674 ■ 
543 
34-9 
15 
25-9 
413 
130 
114 
658 
456 
113 
130 
261 
674 
413 
25-9 
18 
19-1 
281 
132 
121 
653 
468 
108 
128 
389 
670 
285 
19-3 
21 
14-6 
164 
117 
068 
649 
419 
104 
127 
516 
680 
158 
14-4 
24 
10-8 
033 
131 
117 
644 
473 
099 
126 
642 
675 
032 
10-8 
27 
8-0 
903 
130 
114 
639 
475 
094 
124 
766 
669 
908 
8-1 
30 
6-1 
785 
118 
072 
635 
437 
090 
123 
889 
674 
785 
6-1 
log m (mean) 
1-455 
log*! (mean) 
674 
m (mean) 
. . . 
28-5 
Assuming this value of log Xj, the values of log x in column 12 of the table are 
calculated by subtracting from this constant value of log Xi the corresponding values 
of log Xj/x in column 10 ; and from these values of log x are derived the values of x 
in column 13 of the table. Thus x is calculated from the formula x = Xj (T./T)”, 
on and Xj being the means of values obtained from the observations, namely, on — 28'5, 
Xi = 47'2. 
The following is another way of presenting the fundamental equation. Reckoning 
the time required at 0 ° C., Xq, from the observed times at other temperatures, it is 
found to be 118‘3 minutes. The relation between this time and that at any other 
temperature, x^, is ^ = \~W^) ’ x* = Xy x j 
