220 REPORT OF THE CHEMIST OF THE 
formula is applied (N-2000 in present case); R, R, and R =the 
corresponding resistances, while k, ky and k, are the corresponding 
specific conductivities (most conveniently multiplied by 10° for use). 
The formula was derived as follows: Assuming the constancy of the 
ratio between the percentage increments in resistance R and in dilution 
, : dV dk 
(or equivalent volume), V, respectively, we have,—(1)—7-= ¢ R: 
Integrating, we have,—(2) In VY =clnR+const., in which const. =InV ,— 
clnR,. (3) InV=InV,+c (InR—InR,). Since = V-*, InV =—Inz, and 
(4) Iny=InX,—c (Ink —Ink,). 
ieee a “. Ink —InR,=Ink, —Ink. Substituting (Ink,—Ink) for (nk 
ic} 
—InR,) in 4, we have—(5) Inv=Inx,—c (Ink,—Ink). As all terms 
are logarithmic and require multiplication by the same modulus to 
change to Briggs’ logarithm, equations (4) and (5) hold without change 
for ordinary logarithms and constitute the formula already given. The de- 
termination of the constant of integration from values of ’, and R, renders 
the equation exact for a solution of *, concentration, while the determina- 
tion of c from values X,and Rk, render it exact for a solution of concentra- 
tion X,. This formula, with graphic correction, can be employed for mineral 
as well as organic electrolytes, tho not so simple as the one previously given. 
The following values were obtained for the two acids: 
+o OPE: R, Ry 
attic Ci tenes eae ee ec 8 0.5 2030K 11,610K 
PACOLIG AGIs poe ee a weet Be 8 0.5 66241< 28,870K 
K=capacity of cell. 
From these values, the constants of the two formulas were 
obtained : 
log x, c log Ry 
LACHOeACidic bomen renee tee .9031 . 1-592 “AL0640R eee 
ACCHCsACIE ONE sar eee ee .903I 1.882 4.4605 tlog K 
The formulas are exact for the concentrations selected as limits. 
(N-125 and N-2000) and approximate for intermediate points. 
The corrections having been determined at a few of these points, 
the remaining ones were graphically interpolated, plotting as ab- 
scissae values of x calculated by the formulas, and as ordinates, the 
corresponding corrections. These corrections, like those in the 
formula for mineral acids, include those due to the influence of 
