504 Proceedings of Royal Society of Edinburgh. [sess. 
THE EXPRESSION FOR THE EQUILIBRIUM. 
It is now possible from these results to calculate the unknown 
exponents m and n and the value of the constant K in the general 
expression for the equilibrium given on p. 486, viz.: — 
{ 0,(1 - a,)}”* X {0,(1 - a) 2 }» = K.C 3 (1 - a 3 ). 
If we assume that m and n are the same and equal to — , the ex- 
ec 
pression may be simplified, and writing C p C 2 , C 3 for C^l - a x ), 
etc., we obtain 
C 1 xC 2 = K 1 .OJ- 
Erom the first series a fairly good constant is obtained with 
the expression when — = 0’75. 
X 
In the general formula, as a first approximation to its real value, 
put n = 0'75. On this assumption one value of m can be found 
from any two experiments. Erom the first of these we obtain 
C m 
KA 
and from the second 
C w = 
K.C„ 
V 
We therefore have 
By inspection of the concentrations in the different experiments of 
the first series, it will be seen that C 2 (l a 2 ) varies but little, so 
that an error in the value assumed for the exponent n, (0 - 75) 
will not affect, to any extent, the magnitude of m calculated in 
this manner. 
The mean value of m was then obtained from the first three 
experiments only, for according to the method of calculation 
