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Contrac-
Contraction
Contraction
Percent-
tion
observed
calculated
from the
Difference.
calculated
from the
Difference.
age.
C x 10- 5 .
21 per cent.
33'3 per cent.
origin.
origin.
30-17
f.171
5144
+ 2f5
5227
-56
31-63
5350
5362
-12
5373
-23
32-05
5441
5427
+ 14
5415
+ 26
32 -82
5510
5539
-29
5492
+ 18
33-14
5540
5585
-45
5524
+ 16
33-87
5571
5691
-120
5597
-26
A second example taken from the descending portion, namely, for acids of percentage values from 60*60 to 65*80 per cent., illustrates the same phenomenon.
Contraction
Contraction ]
Pcrcent-
Contrac-
tion
calculated
from the
Difference.
calculated
from the Difference.
observed.
54 per cent.
63'6 per cent.
origin.
origin.
60-60
6592
6584
+ 8
6650 -58
61-53
6528
6517
+ 9
6566 -32
(52 -84
6399
6427
-28
6373 + 26
63-83
6327
6399
-72
6327 nil
65-80
6104
6218
-114
6130 -26
Here also the result for the 60'60 per cent, acid belongs to the straight line drawn from the 53'8 origin, and conversely those for the 63'83 and the 65'8 per cent, acids belong to the straight line drawn from the 6 3 -6 per cent, origin, while the remaining two can equally be represented as belonging to either line.
Secondly, a transition stage, in which the observation points lie upon neither of the straight lines. This is best exemplified by the results obtained at all three temperatures for the alteration at about 20 21 per cent, concentration, which was more particularly investi- gated in consequence of the divergence between the observed and calculated results for the acids of about 19-5 per cent, concentration.
In the three succeeding tables the observed contractions are com- pared with those calculated either forwards or backwards from the two respective origins of co-ordinates.