above this point, the formation of double salt is impossible. The retroflex portion of the curve represents solutions in equilibrium with carnallite and potassium chloride, but in which the ratio MgCl2 : KCl is greater than in the double salt.

Throughout its whole course, the curve EMK represents solutions in which the ratio of MgCl2 : KCl is greater than in the double salt. As this is a point of some importance, it will be well, perhaps, to make it clearer by giving one of the isothermal curves, e.g. the curve for 10°, which is represented diagrammatically in Fig. 114. E and F here represent solutions saturated for carnallite plus magnesium chloride hydrate, and for carnallite plus potassium chloride. As is evident, the point F lies above the line representing equimolecular proportions of the salts (OD).

Summary and Numerical Data.—We may now sum up the different systems which can be formed, and give the numerical data from which the model is constructed.[[366]]

I. Bivariant Systems.

Solid phase. Area of existence.
Ice ABDC
KCl CDEMKLNO
Carnallite EFGHJKM
MgCl2,12H2O BF1G1GFED
MgCl2,8H2O G1H1HG
MgCl2,6H2O H1I1IH
MgCl2,4H2O I1L1LKI
MgCl2,2H2O L1N1NL

II. Univariant Systems.—The different univariant systems have already been described. The course of the curves will be sufficiently indicated if the temperature and composition of the solutions for the different invariant systems are given.

III.—Invariant Systems—Binary and Ternary.

Point. Solid Phases. Temperature. Composition of solution. Gram-
molecules of salt per 1000 gram-
mol. water.
A Ice
B Ice; MgCl2,12H2O -33.6° 49.2 MgCl2
C Ice; KCl -11.1° 59.4 KCl
D Ice; MgCl2,12H2O; KCl -34.3° 43 MgCl2; 3 KCl
E

MgCl2,12H2O; KCl;
carnallite

-21° 66.1 MgCl2; 4.9 KCl
F1 MgCl2,12H2O -16.4° 83.33 MgCl2
F MgCl2,12H2O; carnallite -16.6°

Almost same as F1; contains
small amount of KCl
G1

MgCl2,12H2O;
MgCl2,8H2O

-16.8° 87.5 MgCl2
G

MgCl2,12H2O;
MgCl2,8H2O; carnallite

-16.9°

Almost same as G1, but
contains small quantity of KCl
H1

MgCl2,8H2O;
MgCl2,6H2O

-3.4° 99 MgCl2
H

MgCl2,8H2O;
MgCl2,6H2O; carnallite

ca. -3.4°

Almost same as H1, but
contains small amount of KCl
J1

MgCl2,6H2O;
MgCl2,4H2O

116.67° 161.8 MgCl2
J

MgCl2,6H2O;
MgCl2,4H2O; carnallite

115.7° 162 MgCl2; 4 KCl
K

MgCl2,4H2O; KCl;
carnallite

152.5° 200 MgCl2; 24 KCl
L1

MgCl2,4H2O;
MgCl2,2H2O

181° 238.1 MgCl2
L

MgCl2,4H2O;
MgCl2,2H2O; KCl

176° 240 MgCl2; 41 KCl
M Carnallite; KCl 167.5° 166.7 MgCl2; 41.7 KCl
[N1 MgCl2,2H2O 186° ca. 241 MgCl2]
N MgCl2,2H2O; KCl 186° 240 MgCl2; 63 KCl
[O KCl 186° 195.6 KCl]