2 
REPOET— 1847 . 
on the other hand, concave against the same axis from /> = 59 to/? = 81, or 
as far as the observations reach. About s= 59 the curve lias an inflexion, 
which is not the case with the curve constructed according to the above 
formula. 
After having tried some other functions, which did not however represent 
the observations satisfactorily, 1 determined to calculate these after tbe 
formula 
s— 1 + ajf -h + df)* + . (!•) 
where s signifies the specific gravify, /? the quantity of the acid free from 
water (anhydrous) contained in one part of the mixture, and a, 5, e and d 
are constants, whose probable value should be determined. In the uncer- 
tmnty of the relative goodness of the observations, I have by the calculation 
given them all the same weight, and with this presumption found 
a = + 1'017717 
b—- 1-589705 
c = + 4-980878 
d — — 3-628708. 
. differences between the observed specific gravities and those calculated 
with these values of a, b, c and d, will be found in the fourth column of tbe 
following table with the superscription A:_ 
Table I. 
Hydrate of 
sulpbutic 
zicid in 
lOO parts. 
100 
99 
98 
97 
90 
95 
94 
93 
92 
91 
90 
89 
88 
87 
8C 
85 
84 
83 
82 
81 
8U 
79 
78 
77 
76 
75 
74 
73 
72 
71 
70 
69 
Sulnhuric 
acia void 
ofwntCT 
= lan pta. 
81-540 
80743 
79-900 
79'()94 
78-278 
77-163 
70- 648 
75-832 
75-017 
71- 202 
73-380 
72670 
71-7.16 
70-939 
70121 
69-309 
68-493 
67-678 
66-863 
06-047 
65- 232 
64-417 
63-601 
62-786 
61-970 
61-155 
60-310 
59-.’>24 
58-709 
.17-89.3 
57-078 
66- 262 
Speeifle 
gravity 
observed. 
1-8485 
1-8475 
1-8460 
1-8439 
1-8410 
1-8376 
1-8336 
1-8290 
1-8233 
1-8179 
1-8115 
1-8043 
1-7962 
1-7870 
1-7774 
1 767.3 
1-7670 
1-74g:i 
1-7360 
1-7245 
1-7120 
1-6993 
1-6870 
1-6750 
1-6630 
1-6520 
1 6415 
1-6.321 
l-62()4 
1-6090 
1-5975 
1-5868 
— 0-0206 
- 173 
- 141 
- 109 
- 82 
— 50 
- 30 
7 
9 
31 
1 
£8 
6:1 
59 
54 
46 
39 
31 
26 
12 
9 
32 
49 
61 
74 
74 
70 
57 
60 
62 
66 
60 
+ 
+ 
+ 
+ 
+ 
+ 
+■ 
+ 
+ 
nyilratr of 
sulphuric 
acid in 
lOU parts. 
6.S 
67 
66 
65 
64 
6.3 
62 
61 
60 
59 
58 
.17 
56 
55 
54 
53 
62 
51 
50 
49 
48 
47 
16 
45 
44 
43 
42 
41 
10 
39 
38 
37 
8n]pliuric 
acid v-oid 
yf water 
*• lOO pta. 
65-447 
54 6.32 
53-816 
53-001 
.12-185 
61-370 
49-739 
48-924 
48-109 
47-29,3 
46-478 
45-662 
44-847 
44-032 
4.3216 
42-401 
41-585 
40-770 
39-955 
39-1.30 
38-324 
37-608 
36-69,3 
35-878 
35-062 
34-247 
33-431 
32616 
31-801 
30-985 
30-170 
Sp«H6c 
G avity 
erved. 
1-5760 
1-.1648 
I-.1503 
1-5390 
1-5280 
1-5170 
1-5066 
1-4960 
1-4860 
1-4760 
1-4660 
1-4560 
1-4460 
1-4360 
1-4265 
1-4170 
1-4073 
1-3977 
i-3884 
1-.3788 
1-.3697 
l-,3fil2 
1-353U 
1-.3440 
1-.334.3 
1 -3255 
1-3165 
1-3080 
1-2999 
1-2913 
1-2826 
1-2740 
- 0-0tt17 
66 
90 
_ 91 
_ 89 
_ 88 
- 81 
- 78 
- 67 
59 
_ .11 
- 57 
39 
- 33 
- 22 
- 14 
8 
2 
4 
8 
14 
26 
39 
44 
41 
45 
42 
47 
54 
54 
52 
49 
