11389 
dp Ruck 
because p and paige infinite, also 
Vv 
dp 
dv 0 ik 
Pp 0 ow 
And the determination of vy, and bj, takes place as follows. In 
the formula yielded by kinetical considerations, viz. 
v—b = v—Aanr’ Br 
v Vv 
Viim Must be =4ar? Br. And for the determination of vy, the 
smallest value for will have to be found. For collisions with 1 
4 5, f 
molecule at a time, g= Es For collisions with 2 molecules at the 
same time, so that at the impact 3 molecules are in contact, 
2 er i . 
oe For collisions with 38 molecules at the same time, the 
2 is 
value of 3 is equal to Bae as we saw above. And collisions 
with a greater number which are in contact at the same time, are 
luded. So that tl ap zt 
exciuded. Oo 1at NOW je value O TS DT 3 Ol 
spherical molecules has been found back, but now on better grounds 
than above. . 
But this does not terminate the investigation into the value of 
Dim. I-have put the chance that in vj, collisions with a single 
molecule or with 2 molecules might take place equal absolutely to 
0. By putting vun = 4ar* Br I have assumed the possibility that there 
is also a chance of collision for points the projection of which on 
the central plane at right angles to the direction of motion lies at 
the edge of this central plane, also still at this great density. A 
more complete investigation would probably yield a still somewhat 
lower value of ~. ; 
My principal aim was to draw attention to the difference in the 
value of 4, and by; I had been astonished myself at the comparatively 
. b b ; 
small value of —~, whereas Ee has such a large ratio. For spherical 
lim 0 
ud b 
or almost 3, whereas — may 
2 Ovi 
4 
molecules the latter amounts to = 
possibly come near to half 3. The relations at which I had arrived, 
py nee 8 ‘bg 
i AS would be altogether incorrect, if 
3 Btim 3 Blim 
