MONATOMIC GAS: DIFFUSION, VISCOSITY, AND THERMAL CONDUCTION. 185 
gases, and are obtained by comparing the approximations to D T and D 12 contained 
in (13‘07) and (14'03); calling their ratio & T , we have 
/. _ e i ( 1 — e o) 
a, t — 
"0^1 
1) [l ^ ~t XsAti) (/*i M 2 ) 4^]/x 2 ^i2 (X; X 2 ) ~t X 2 // 21 A9 0 )] 
d + e^+f 1 ^ 
v 2 l/j 
3 
(Xj — X 2 ) 8 “ 6 (A. 9 /*F — X ]( u 2 2 ) ~t (Xo/ijA! — A 1 /X 9 .A 9 ) 
A 1 A 2 + (6 " 3 V 1 M 2 ) (Aj + A 2 )— 2 5 - Cu 1 2 A 1 + yW 2 2 A 2 )+- 7 5- — '¥5 8_ / X lM2 
where 
A _ 4 *1 
^1—3 
/ 
2t7j 
v 2 p-2 wi + Og. 
A — -4. JA 
-“•2 — 3 
2<T9 
DMi Vi + 
The values of 0 - used in calculating the results in the following table are taken from 
the table on p. 476 of my first memoir. 
Table VI.—Comparison of D T , D p , D 12 . 
Ratio of the 
two gaseous com¬ 
ponents. 
Argon-helium. 
— 1 = 9-8, 
m 2 
A 1 = 1-69, 
<r 2 
^ 20*4A 1 + 4*8A 2 
Oxygen-hydrogen. 
B = 16, 
mo 
A 1 = 1-34, 
O-o 
h 28-0A 1 + 5-2A 2 
Oxygen-nitrogen. 
_ 16 
m 2 14 ’ 
0-1 = 0-97, 
o- 2 
h _ 0 " 33Aj + 0 • 41A 2 
T 
32- 
6 + 58 • 6 - 1 
v '2 
+ 4 • 4 h 2 ' 
* T 
45- 
5 + 78-3D 
*'2 
+ 5 • 8 D 
*1 
T 
22 * 
2 l 9 • 3 D + 8 - 7A 2 ! 
"2 v\ 
7. __ -^T 
“ T d 12 ' 
II 
SIP 
Dp 
D t ' 
1c - 
T d 12 ‘ 
k — 
kp ’ Dh’ 
Dp 
D t ' 
7. _ D T 
A, T - — 
-L112 
II 
010 
5 N 
D p 
D t 
Xi = h. 
"1 _ 1 
3 
"2 
0-133 
0-513 
3-9 
0-122 
0-592 
4-8 
0-008 
0-026 
3-2 
II 
A 
"1 _ 1 
1 
"2 
0-132 
0-408 
3-1 
0-128 
0-441 
3-4 
o-oio 
0-033 
3-3 
rsH< 
II 
A 
^ = 3 
v 2 1 
0-079 
0-166 
2-1 
0-079 
0-230 
2-9 
0-007 
0-024 
3-4 
We may remark, finally, on the direction of thermal diffusion : since D r has been 
found to be a positive quantity (l4‘0l) shows that the heavier gas tends to diffuse 
towards regions of lower temperature, while the lighter gas tends to diffuse towards 
those of higher temperature. # 
* 
Of., however, Note E, p. 197. 
