52 Proceedings of the Royal Society of Edinburgh. [Sess. 
Table Y. 
c' 
a 
a 
c' 
1 
n 
0-157 
0-286 
1-82 
•190 
•335 
1-77 
0-83 
•227 
•376 
1-65 
0-65 
•278 
•465 
1-68 
1-05 
•350 
•546 
1-56 
0-70 
•447 
•746 
1-67 
1-28 
•601 
•983 
1-63 
0*98 
much smaller than in the case of hydrochloric acid, and these figures 
suggest that if different substances behave in the same manner for low 
values of u, the limiting value of the exponent — is unity, as with gases. 
Table VI. 
c 
u 0 
1 
n 
u 
w 
KC1 . 
0*00044 
266 
616 
0-00032 
128 
230 
0-77 
•70 
0-0009 
45 
95 
MgS0 4 . 
0*00043 
123 
0-00089 
24 
0-95 
0-0017 
47 
We will now consider the consequences of such a simple relation as 
u=kc existing in dilute solutions. It follows that when c is small 
which we may write 
u 0 = u - wc = (k- w)c , 
a — a Q c, 
where a 0 may be positive or negative. Near c = 1 we have a similar relation 
of the type w = Jc(l — c), which leads to 
iv 0 = (k' -u)(\ - c ), 
and 
1 
— u- w = u 
1 — c 
— k\ 
If w 0 is positive near c — 1 as n 0 is positive (suppose) near c = 0, it follows 
that near c = 1, n Q is negative. On the other hand, u 0 { 1 — c) will be positive 
initially and equal to zero finally. Hence the (c, u 0 ) and {c, u 0 (l— c)} 
curves will be of the type shown in fig. 1. If u 0 and w 0 are negative when 
c = 0 and c = l respectively, the resultant curve will be the mirror image of 
