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You need to complete PS4-2020.doc. You will also need to plot a phase diagram on Excel using the Table1.xlsx file.Note: PLEASE TAKE A LOOK AT THE ASSIGNMENT FIRST, AND DO NOT MAKE BIDS IF YOU ARE NOT AN EXPERT IN THE CONCEPTS ADRESSED IN THE ASSIGNMENT.Two‐component phase diagrams I
Monday, September 14, 2020
17:19
Time on task: 2 hours (material posted on Oct 19th, Student hour: Monday Nov 2nd and Wednesday Nov 4th)
Goals:
Upon completion of lecture 11 you should be able to
– read a 2 components phase diagram with a single eutectic
– describe the melting and crystallization history
– determine the phase proportions and compositions at a given temperature and for a given composition.
This lecture is complemented with your PS4 (due on Nov 27th)
1. Definitions.
• Phase (Φ)= a physically separable part of the system with distinct physical and chemical properties. A system
must consist of one or more phases.
• Component (c): Each phase in the system may be considered to be composed of one or more components. The
number of components (i.e., chemical formula) in the system must be the minimum required to define all of the
phases.
(see lecture 10)
• Liquidus: The curve separating the field of all liquid from that of liquid + crystals.
• Solidus: The line separating the field of all solid from that of liquid + crystals.
• Eutectic point: the point on a phase diagram where the maximum number of allowable phases are in equilibrium.
When this point is reached, the temperature must remain constant until one of the phases disappears. A eutectic
is an invariant point.
• Congruent melting ‐ melting wherein a phase melts to a liquid with the same composition as the solid: in one
component system, at the eutectic
e.g., when ice melt, the composition of the water is the same than the composition of the ice, i.e., H2O
• Incongruent melting: melting wherein a phase melts to a liquid with a composition different from the solid and
produces a solid of different composition to the original solid.
e.g., when a peridotite melts, the composition of the magma (i.e., basalt with >45% SiO2) is different form the
composition of the peridotite (i.e., an ultramafic rock: SiO2
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