84 
DR. T. E. THORPE AND MR. J. W. RODGER OX THE RELATIONS 
As the thermal expansion of methyl isobutyl ether had not previously been 
determined, a series of measurements had to be made with the dilatometer, in order 
i/O obtain the data required for the reduction of the observations on viscosity. The 
appara-tus and method employed were those described by Thorpe (‘ Chem. Soc, 
Trans.,’ vol. 63, p. 262, 1893). 
The observations with the dilatometer gave :—■ 
T. 
Ob?. 
Calc. 
T. 
Obs. 
Calc. 
0-0 
2126-98 
2126-76 
, 30-83 
2219 52 
2-219-41 
4-82 
2140-45 
2140-48 
35-01 
2232-90 
2232-94 
10-71 
2157-43 
2157-62 
40-48 
2250-96 
2251-03 
16-76 
2175-55 
2175-64 
46-06 
2269-89 
2269-97 
20-75 
2187-78 
2187-79 
1 49-33 
2281-33 
2-281-29 
25-80 
2203-56 
2203-46 
i 54-23 
2298-63 
2298-59 
The observed values lead to the follovdng formula :— 
y = 212676 -{- 2-8216833 t + •00536623 t" + •00001901 i\ 
from which the calculated values are obtained. 
Dividing by the first term and correcting for the expansion of glass, the formula 
for the absolute expansion is found to be 
= 1 + -0735624 t + -0^256232 -f -0590132 th 
From this is calculated the following table giving the volumes of method isobutyl 
ether for every 10'^ between 0° and its boiling-point :— 
T. 
Vol. 
Diff. i 
. T. 
Vul. 
Diff. 
0 
100000 
30 
104324 
759 
5 
100685 
685 
35 
105099 
775 
10 
101383 
698 
40 
105893 
794 
15 
102095 
712 
45 
106704 
811 
20 
102822 
727 
50 
107534 
830 
25 
103565 
743 
55 
108384 
850 
The densitv at 0° was found to be 0-7507. 
*J 
Takino' 
77 ^ = -003797 = -002192 
q = 0'^-36 q = 55°-22 
770 (calculated) = -002885, 
q (from curve) = 25°-92, 
