The Phase Rule and Its ApplicationsFindlay, Alexander
Science
The Phase Rule and Its Applications
Findlay, Alexander
Chemistry, Physical and theoretical; Phase rule and equilibrium; Solution (Chemistry)
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Heavier alloy. | Lighter alloy.
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Percentage amount of | Percentage amount of
Silver. | Lead. | Zinc. | Silver. | Lead. | Zinc.
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1.25 | 96.69 | 2.06 | 38.91 | 3.12 | 57.97
1.71 | 96.43 | 1.86 | 45.01 | 3.37 | 51.62
5.55 | 93.16 | 1.29 | 54.93 | 4.21 | 40.86
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The numbers in the same horizontal row give the composition of the
conjugate alloys, and it is evident that the upper layer consists almost
entirely of silver and zinc. On allowing the mixture to cool slightly, the
upper layer solidifies first, and can be separated from the still molten
lead layer. It is on this behaviour of silver towards a mixture of molten
lead and zinc that the Parkes's method for the desilverization of lead
depends.[325] If aluminium is also added, a still larger proportion of
silver passes into the lighter layer, and the desilverization of the lead
is more complete.[326]
[Illustration: FIG. 86.]
[Illustration: FIG. 87.]
The Influence of Temperature.--As has already been said, a ternary system
existing in three phases possesses two degrees of freedom; and the state of
the system is therefore dependent not only on the relative concentration of
the components, but also on the temperature. As the temperature changes,
therefore, the boundary curve of the heterogeneous system will also alter;
and in order to represent this alteration we shall make use of the right
prism, in which the temperature is measured upwards. In this way the
boundary curve passes into a boundary surface (called a dineric surface),
as shown in Fig. 86. In this figure the curve _akb_ is the isothermal for
the ternary system; the curve _a_K_b_ shows the change in the _binary_
system AB with the temperature, with {248} a critical point at K. This
curve has the same meaning as those given in Chapter VI. The curve _k_K is
a critical curve joining together the critical points of the different
isothermals. In such a case as is shown in Fig. 86, there does not exist
any real critical temperature for the ternary system, for as the
temperature is raised, the amount of C in the "critical" solution becomes
less and less, and at K only two components, A and B, are present. In the
case, however, represented in Fig. 87, a real ternary critical point is
found. In this figure _ak'b_ is an isothermal, _ak"_ is the curve for the
binary system, and K is the ternary critical point. All points outside the
helmet-shaped boundary surface represent homogeneous ternary solutions,
while all points within the surface belong to heterogeneous systems. Above
the temperature of the point K, the three components are miscible in all
proportions. An example of a ternary system yielding such a boundary
surface is that consisting of phenol, water, and acetone.[327] In this case
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