THE EXPANSION - OF SEA-WATER BY HEAT. 
415 
specific gravity at 0°. Table XIII. was therefore prepared : it shows, side by side, for 
purposes of comparison, the volumes of the samples A, B, C, and D at a few tempera- 
tures, that at 0° C. being in each case supposed to be unity. 
Table XIII. 
A. 
B. 
C. 
D. 
6 
1*00066 
1*00055 
1*00046 
1*00038 
10 
131 
114 
100 
88 
15 
232 
210 
191 
174 
21 
379 
355 
331 
310 
27 
555 
529 
501 
477 
33 
758 
728 
697 
668 
The differences between consecutive columns in this Table multiplied by 10 s give us 
the following numbers : — 
t°. 
A-B. 
B-C. 
C-D. 
6 
11 
9 
8 
10 
17 
14 
12 
15 
22 
19 
17 
21 
24 
24 
21 
27 
26 
27 
24 
33 
30 
31 
29 
Dividing the numbers in each of these columns by those in that which follows it, we 
obtain the quotients (correct to one place of decimals) — 
B-C - 1 * 
1*2 
1-1 
1-0 
1-0 
1-0 
C-D— 1 1 
1-2 
1-1 
IT 
IT 
IT 
The numbers in these two groups are, to within the limits of the error of experiment, 
constant. 
Accordingly we may assume that if v, v', and v" are the volumes at the same tem- 
perature of quantities of the solutions, the volume of each of which at 0° C. is unity, the 
value of is independent of the temperature, and is therefore, if the solutions to 
which v' and v" refer are supposed to be always the same, a function of s (the specific 
gravity of the third solution at 0° C.) only, so that 
v—v' 
if — v" 
=M 
(i) 
Secondly, noticing that the numbers in each of the above groups are approximately 
equal to each other and to unity, and bearing in mind the fact that the differences 
3 M 2 
