THE PHYSICAL PROPERTIES OF AQUEOUS SOLUTIONS. 
131 
Table XIX. # —Viscosity of KC1 Solutions, calculated from KC1 Radions. 
p. 
m. 
m(ri+r 2 ). 
7/ Observed. 
rj Calculated. 
Difference. 
0 
o-o 
0-03074 
o-o 
0-010514 
0-010514 
+ 
1 
0-1347 
0-02900 
0-003906 
0-010504 
0-010491 
+ 13 
2 
0-2712 
0-02804 
0-007605 
0-010465 
0-010470 
-5 
3 
0-4094 
0-02728 
0-011168 
0-010445 
0-010450 
-5 
4 
0-5493 
0-02662 
0-014623 
0-010419 
0-010430 
-11 
6 
0-8344 
0-02549 
0-021269 
0-010393 
0-010391 
+ 2 
Normal 
1-000 
0-02493 
0-02493 
0-010374 
0-010374 
+ 
Table XX. *—Viscosity of NaCl Solutions, calculated from NaCl Radions. 
p - 
m. 
n + r 2 . 
m (r-! + ?- 2 ). 
7] Observed. 
7) Calculated. 
Difference. 
0 
o-o 
0-03824 
o-o 
0-010514 
0-010514 
+ 
1 
0-1720 
0-03636 
0-00625 
0-01068 
0-01068 
+ 
2 
0-3463 
0-03532 
0-01223 
0-01083 
0-01085 
-2 
3 
0-5232 
0-03450 
0-01805 
0-01097 
0-01100 
-3 
4 
0-7024 
0-03377 
0-02372 
0-01112 
0-01116 
-4 
Normal 
1-000 
0-03276 
0-03276 
0-01143 
0-01141 
+ 2 
6 
1-068 
0-03259 
0-03480 
0-01150 
0-01146 
+ 4 
Moreover, if our reasoning is correct, the viscosities of mixtures of normal solutions 
of KC1 and NaCl ought to be given by the formula (derived from the two preceding) 
r) = (P010514 — 0'00578a m(r K + r 0I ) + 0'0272 (1— a) m(r Na +r cl ) . . . (16), 
% 
where a represents the fraction of the volume of the mixture which consists of normal 
KC1, and (1— a) the fraction which consists of normal NaCl. rn in this case is unity, 
since we are dealing with mixtures of normal solutions, and taking the sums of the 
radions at normal dilution from the preceding tables, the expression becomes 
rj = 0'010514 —0'000144a+ 0'000892 (1 — a). 
In the following table the observed values of the viscosity of mixtures of normal 
NaCl and KC1 solutions are taken from Table VI. ante , and the calculated values 
are those given by the above equation. 
* The observed values of rj for KC1 from 0 to 6 per cent, are taken from the former paper. The values 
for the normal solutions of KC1 and NaCl are taken from Table YI. Being taken from a different series 
of observations, they do not range well with the percentage series, but the discrepancy, for our present 
purpose, is not material. 
S 2 
