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)
On the other hand, the period of constant temperature for the eutectic
point _c_ is greatest in the case of solutions having the same initial
_composition_ as that corresponding with the eutectic point; and it
decreases the more the initial composition approaches that of the pure
component _a_ or the component e. In this way we obtain the
time-composition curve _a'c'e'_. Here also the point _e'_ represents the
composition of the compound. We see, therefore, that from the graphic
representation of the freezing-point curve, and from the duration of the
temperature-arrests on the cooling curve, for solutions of different
initial composition, it is possible, without having recourse to analysis,
to decide what solid phases are formed, and what is their composition.
Formation of Minerals.--Important and interesting as is the application of
the Phase Rule to the study of alloys, its application to the study of the
conditions regulating the formation of minerals is no less so; and although
we do not propose to consider different cases in detail here, still
attention must be drawn to certain points connected with this interesting
subject.
In the first place, it will be evident from what has already been said,
that that mineral which first crystallizes out from a molten magma is not
necessarily the one with the highest melting point. The _composition_ of
the fused mass must be taken into account. When the system consists of two
components which do not form a compound, one or other of these will
separate out in a pure state, according as the composition of the molten
mass lies on one or other side of the eutectic composition; and the
separation of the one component will continue until the composition of the
eutectic point is reached. Further cooling will then lead to the
simultaneous separation of the two components.
If, however, the two components form a stable compound (_e.g._ orthoclase,
from a fused mixture of silica and potassium aluminate), then the
freezing-point curve will resemble that {233} shown in Fig. 64; _i.e._
there will be a middle curve possessing a dystectic point, and ending on
either side at a eutectic point. This curve would represent the conditions
under which orthoclase is in equilibrium with the molten magma. If the
initial composition of the magma is represented by a point between the two
eutectic points, orthoclase will separate first. The composition of the
magma will thereby change, and the mass will finally solidify to a mixture
of orthoclase and silica, or orthoclase and potassium aluminate, according
to the initial composition.
What has just been said holds, however, only for stable equilibria, and it
must not be forgotten that complications can arise owing to suspended
transformation (when, for example, the magma is rapidly cooled) and the
production of metastable equilibria. These conditions occur very frequently
in nature.
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