PROPERTIES OF MATTER IN THE GASEOUS STATE. 
various functions of - in equation (101) increase or decrease continuously between the 
c c 
values - = 0 and -= oo . 
s s 
Results IY. and V. also follow so directly from equation (101) as to require no 
comment. 
Q 
Results VI. and VII. refer to transpiration under pressure when - is small. Under 
ch 
these circumstances, since — = 0, equation (99) becomes 
o 
V 
K“T 
W 
yA.mxdf’ 
z p dx 
( 108 ) 
and taking, as in the experiments, r and 
1 dp 
p dx 
constant, we have for the same plate 
floe 
mX l 
v 7 ! 5 
which is result VI. 
And assuming, as in Art. 98, that is independent of M or any property of the 
gas, we have 
floe 
1 
-x/M’ 
and therefore the times of transpiration of the different gases through the same plate 
are proportional to the square roots of the molecular weights, which is experimental 
result VII. 
This result, therefore, verifies the conclusion arrived at in Art. 98, that when the 
tube is small compared with s the effect of the impacts at the surface is independent 
of the nature of the gas. 
Q 
Result VIII. relates to transpiration under pressure when - is large. 
Then we have from equation (99) 
- cr c ( A i +mXii ) 
1 dp 
p dx 
(109) 
Therefore since r, M, and 
large 
1 dp 
p dx 
are to be taken as constant; when - becomes sufficiently 
1 
flee -, 
5 
