605 
mena. In how far this is the case further investigation will have to 
decide. The simplification consisted in this that for the value of 5, 
which according to the theory is aie to 6, 4—a)+26, 7d —a)+ 0,27, 
I assumed the value 
by =b, He as 
With the simplified form 4, numerous calculations appeared to be 
easily feasible which otherwise would lead to too intricate computations. 
The simplification of 0, comes to this that we put 25,, = 6,+4,. 
The theoretical value of 6,, can be calculated and leads, whether 
one starts from the idea that 4 is determined by the increase of the 
number of collisions in consequence of the dimensions of the mole- 
cules or by means of the theorem of the virial, to tue same result. 
By both ways one finds 6,=4 times the molecular volume of the 
1st substance, in the same way 6, —4 times the molecular volume 
of the 2°4 substance, and 6,, = 4 times the molecular volume of a 
fictitious substance consisting of molecules the dimensions of which 
are between those of the two substances. If the molecules could 
be regarded as spheres the radii of which we take =r, and r,, 
4 | NEE 
1 
son that bss oo ry and. A= apne re)"; then 
14 rtr,\? LB”? 
=d = ar If we put b,=nb,, then b,,= (5 ) be 
The three quantities 6,, 6,, and 6,, are therefore determined by the 
distances of the centres at the collision of the similar and the dissimilar 
molecules. Hence according to the theory 6,-++-b,-—26,, is not equal to 0, 
3 
but equal to me EE b,. We subioin some values of this 
quantity for values of n between 1 and 3. 
Vn Tel 12 1,3 14 1,5 1,6 1,7 1,75 1,8 19 r 
n 1,331 1,728 2,197 2,744 3375 4,098 4,913 5,36 5,832 6859 8 
biz 
ee 1,1576 1,331 1,521 1,728 1953 2,197 244 26 2,744 3,048 3,375 
1 
ln ay zb Be VAE 2 = 45 
Sn 1,1655 1,364 15985 1,872 219% 2598 296 3.18 3416 3,95 4,5 
—2b 
ees 0,0158 0,064 0,155 0,288 0,469 0,704 1,03 1,18 1,844 177 2,95 
n+l b 
It is seen from these values that if one puts aes for rs instead 
1 
n\* 
of Gas for a value of nm which is not great, the difference is 
not much, but that the difference is already considerable for n greater 
than 5, to which I concluded for the system ether-water. 
