500 MESSRS. T. B. THORPE AND J. W. RODGER ON THE RELATIONS 
V= 1 -f -0311964^ + -O-^lSOeot^ + •087882U3 
for the thermal expansion (‘Annales de Chim. et de Phys./ (3), 33, 215). 
Taking 
77| = ‘005575 yg = ‘002406 (calculated) = ’003663 
— 0°’21 tg ■= 87°'99 (from curve) ■— 39°’05, 
we obtain tlie formula 
49-886 
“ (149 15 + ’ 
which gives results in good agreement with the values obtained by observation. 
]\[ean temp. 
Difference. 
Observed (mean). 
Calc^^lated. 
O 
0-21 
-005575 
-005575 
-000000 
8-32 
-005059 
-005064 
- -000005 
15-85 
-0046 lA 
-004652 
+ -000007 
24-G4 
-004237 
-004233 
- -000004 
32-63 
-003899 
-003901 
+ -000002 
40-19 
-003628 
-003623 
- -000005 
47-75 
-003381 
-003374 
- -000007 
56-49 
-003126 
003118 
- -000008 
63-50 
-002947 
-002933 
- -000014 
71-25 
-002761 
-002749 
- -000012 
80 31 
-002563 
-002555 
- -000008 
87-99 
-002406 
-002406 
-000000 
Thiophen. CH :CH.S.CH:CH. 
I_I 
A quantity of thiophen, after drying, was carefully fractionated, and the portion 
boiling between 84°’18 and 84°’38 was collected and employed for the viscosity 
observations. Bar. 759 ’0 millims. Corrected and reduced b.p. 84°’3. 
Vapour density :— 
Found, 4r57. 
The observations for viscosity gave ;— 
Calculated, 42’00. 
