THE EXPANSION OF SEA-WATER BY HEAT. 
413 
The numbers in the fourth columns in each of the preceding Tables being satisfactorily 
small, the next step was to compare the expressions obtained from the different series 
of experiments on the same solution. For this purpose L, M, and N in each of the 
formulae were divided by the corresponding values of K, and series of equations were 
thus obtained of the form 
v=l 
giving the apparent expansion for each solution. 
These equations were then corrected for the alterations in the volumes of the dila- 
tometers due to the changes of temperature, the coefficients of expansion being taken 
to be 
for dilatometer O 0-00002459, 
„ „ P 0-00002382 
for 1° C. being between 0° and 40°. The resulting expressions, of which 
v = 1 + It + mt 2 + nf 
may be taken as the type, give the true expansions of the solutions as deduced from the 
separate series of experiments. 
The values of l, m, and n are given in Table X. 
Table X. 
Sample. 
Series. 
1 . 
* 
A ' { i 
I. 
•000087677 
•0000047604 
-•000000012121 
II. 
•000074867 
•0000054370 
-•000000024334 
r 
I. 
•000057682 
•0000060715 
—•000000032983 
B. \ 
II. 
•000058352 
•0000059171 
-•000000029871 
1 
III. 
•000052849 
•0000061299 
-•000000033281 
c . { 
I. 
•000041889 
•0000061650 
-•000000030763 
II. 
•000039989 
•0000063468 
-•000000035571 
D { 
I. 
•000020391 
•0000071663 
-•000000050546 
II. 
•000029520 
•0000061782 
-•000000027585 
The following Table shows the volumes calculated for a few temperatures by the aid 
of these constants. 
3 M 
MDCCCLXXYI. 
