The Science and Engineering of Materials (MindTap Course List)
The Science and Engineering of Materials (MindTap Course List)
7th Edition
ISBN: 9781305076761
Author: Donald R. Askeland, Wendelin J. Wright
Publisher: Cengage Learning
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Chapter 9, Problem 9.13P

If the total change in free energy of a molt en metal is 5 .34 × 10 -17 J upon format ion of the first stable solid and the free energy per unit volume is -17 .7J/cm 3 , approximate the radius of the first stable spherical solid. The surface free energy of the solid-liquid interface is 100 × 10 7 J/cm 2 .

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Metal A (Tm=860 oC) and metal B (Tm=620 oC) were fully dissolved in each other in the liquid state. The ultimate solubility of B in A is 12% at 460 oC which decreasing with decreasing temperature to 3% at room temperature while the maximum solubility of A in B is 7% at 460 oC still constant to room temperature. A and B form eutectic at 460 oC and 48 % of B. construct phase diagram for A-B alloying system, label all phases and temperatures, and answer the following: a) 28 wt % A alloy is slowly cooled from 720 oC at what temperature does the first solid phase is formed? What is the composition of this solid phase? For this alloy what is the mass fraction of the phases at, 600 oC, 300 oC ,and TR? c) What is the ?composition of the phases in (b)
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