ON THE SPECIFIC GRAVITY OP SULPHURIC ACID. 
11 
slants. If therefore C signifies the maximum of contraction when the acid 
employed contains n equivalents of water, then we should have 
C=-l_ .. (r,) 
The values of /d and a, which best satisfy all tlie above gii'en values of C, 
are * • o > 
)3 = 0'07700596 + 0*0021532 = 0-07700590 (1 +0*0279615) 1 v 
a -0*01630&i + 0*027644 = - 0*0168004 (T+ 1*695910) J 
The accordance between the calculated values and thoTe previously found, 
will be seen by the following comparison:_ 
Table V. 
laq 
2 aq 
SO,+ 
SO 3 + . 
SOg + 3aq 
SO 3 + 4aq 
S0g4- 
SOg + 
SO3 + 
S 0 s+ . 
SOj + 12aq 
SOg + ]5aq 
5aq 
6aq 
7aq 
9aq 
Contracted volume. 
Found. 
0-921486 
0-967784 
0-976805 
0-9807S5 
0-983692 
0-985972 
0-9877.54 
0-990121 
0-993011 
0*994668 
Calculated. 
0*921718 
0D611HI 
0-974]9I 
0-980670 
0-984548 
0-987131 
0-988973 
0-,g9U28 
0-993574 
0-994861 
Maximum of contraction. 
Found. 
Calculated. 
0*078.514 
0-032266 
0*02.3195 
0*019265 
0*016.308 
0*014028 
0*012246 
0*00.9579 
{K>06989 
0 005332 
10*078282 
j 0-038819 
! 0-025809 
I O-OJ 9.3.30 
0*015452 
0-012869 
0-011027 
0*008572 
0-0064-26 
0-0051.39 
OiffcTCDCe. 
+ 0*000232 
- 0*01)6553 
-0*002614 
'-0*000065 
+ 0*000856 
+ 0-001159 
+ 0*001219 
+ 0*001007 
+ 0-000563 
+ 0D00I93 
in of Jbeso deterniinadons will bo found equal to 0-001237, 
If. . ® probable error of a single determination ofC =* 0-(XX)834. 
to TabiriTt uncortainty of the specific gravity according 
mimviAr. r ♦u ■" 0^124, and the probable error of a singla deter- 
S and that consequently iRe uncer- 
7 ho mean specific gravity S calculated from this must yet bo greater, 
then the accordancy between tha calculated values of — and those found 
s 
gi'eater than one could expect, and .apparently 
correctness of the supposed Jaw for the con- 
servi^fi Greater harmony between the calculated and the ob- 
eomjlu• 'T'"* be obtained, if by the calculation of the 
d„p..ri K »i ^ regard was paid to the contractions pro- 
whflf hiJ ree fir«t hydrates of the sulphuric acid, as these, according to 
for wii 5 /.t, Pfeyl^oualy remarked, are much more uncertain than the rest, 
f_ . p. f gravity a is calculated according to the more accurate 
, besides, on account of their greatervalue, have 
an overbeanng influence on the detemiination of these constants. 
fMrt*:.... ^ L « P which best satisfy the other seven maxima of con- 
tracUons, Mill be found equal to 
^ = 0-0915977 (1 + 0-022073) \ /., n 
a = 07013103 (lio-lB7281)/. 
contraction for SO 3 + 2aq is not included, as the 
uetenmnation of that appears to be more uucertain than any of the rest. 
