on Spirituous Liquors. 443 
-j-6 = 164,5, and the expansion in heating up from 30° to 6o°, 
the same. On heating up to ioo°, 235 — 6 = 229, but the con- 
traction in cooling down from ioo° to 6o° again, 235 -{- 1 = 236 ; 
the mean is 232,5, and the total expansion from 30° to ioo° 
= 397,0 ; differing from the experiments by weight 0,55 of 
a division, in defect ; but the two methods in this experiment 
differ very considerably from each other, namely, by no less 
a quantity than 7 divisions. In this experiment it seems pro- 
bable either that some of the spirit leaked out at the stopper, 
or that the stopper shifted its place a little, so as to enlarge the 
capacity of the ball. 
The contraction by the short instrument in cooling down 
from 6o° to 30°'was 166 — 2 = 164, and the expansion on heat- 
ing up again to 6 o°, the same. On heating up to ioo°, it was 
230 + 2 = 232, but on cooling down again to 6o° the con- 
traction was 230 +5 = 235 ; the mean is 233,5, and the total 
expansion 397,5 ; differing from the experiments by weight 
0,05 of a division, in defect. The difference between the two 
methods, in heating up from 60°, to ioo°, and in cooling down 
again from ioo° to 6‘o°, is three divisions. 
It appears from the preceding experiments, that the mean 
of all the quantities found on heating up from 30° to ioo°, and 
cooling down from ioo° to 30°, taken together, gives for the 
total expansion 397,16 by the long instrument, and 396,5 by 
the short ; the former errs 0,59, and the latter 1,05 divisions 
from the experiments by weight, in defect. It appears also 
that the mean of all the quantities found by the long instru- 
ment, on heating up from 30° to ioo°, gives for the total ex- 
pansion 4,34 divisions less than the mean of all the quantities 
taken together, by the same instrument, on cooling down from 
