Voi,. 7, 1921 
MATHEMATICS: H. B. PHILLIPS 
v 
=c (v-l) 
where c is constant. Differentiating this equation with respect to v and 
then with respect to T, assuming 5 constant, we get 
/ dv d 2 v\ fdvY 2AM3 
whence 
dv 
' dv i L( dv V , i 
dv d 2 v 
(13) 
According to Callendar and Moss 8 
V 
1 + 1805553 
(100) 
10"°+ 12444 
10" 8 +2539 
(100) 
1(T 8 (14) 
-Y 
v 0 \ioo/^ \iooy 
is the ratio of the volume of mercury at t° to its volume at 0°. The values 
of v— 8 in table III are obtained by calculating the derivatives of v from 
(14) and substituting in (13). Below 100° the difference of the calculated 
viscosities and those measured is not greater than the difference between 
the values obtained by different observers. At higher temperatures the 
calculated viscosities are consistently smaller than those measured. 
The observations, however, differ greatly, owing probably to oxidation of 
the mercury in contact with the air. The result may be to increase the vis- 
cosity by almost any amount. This work should be repeated with mercury 
of the greatest purity in a vacuum or in contact with some inactive gas. 
table i 
Carbon Dioxide 
log 5=. 09780 : ' v (v -8) = .0002708 
V 
jjxlO* 
tjxl0« 
TEMP. 
PRESSURE 
V 
v- 8 
CAIv. 
OBS. 
OBSERVER 
5 
Sat. 
1 
113 
.278 
974 
925 
Warburg and Babo 9 
10 
it 
1 
.168 
.317 
854 
852 
15 
t< 
1 
228 
.360 
751 
784 
20 
1 
306 
.419 
646 
712 
20 
59 at. 
1 
291 
.408 
664 
697 
Phillips 10 
20 
72 
1 
224 
.358 
756 
771 
20 
83 
1 
189 
.332 
816 
823 
30 
72 
1 
566 
.627 
432 
458 
30 
90 
1 
339 
.445 
608 
643 
30 
104 
1 
274 
.395 
686 
733 
