E4511ps7-txt

E4511ps7-txt - Engineering 45 The Structure and Properties...

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Page 1 Engineering 45 The Structure and Properties of Materials Spring, 2011 Problem Set No. 7 Problem 1: The equilibrium phase diagram of a two-component material shows the phases present at equilibrium as a function of temperature (T) and solute content (x). It is possible to obtain three pieces of information from the binary phase diagram: (1) the phases present at equilibrium at any given composition and temperature; (2) the compositions of the phases; (3) the fractions of the phases. (a) Using a simple eutectic phase diagram as an example, describe how each of these three pieces of information can be found. (b) Derive the "lever rule" which determines the fractions of phases present. Precisely what fraction have you computed? Problem 2: The phase diagram of the Pb-Sn binary system is drawn below. (a) Pb and Sn do not form solid solutions at all compositions. Why would you expect this? Fig.:
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E4511ps7-txt - Engineering 45 The Structure and Properties...

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