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MSE 508 Problem Set 8 2011 - ∆ G mix p curves for all...

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MSE 508 Dept. of Materials Science & Engineering Solid State Thermodynamics Spring 2011/Bill Knowlton 1 of 1 Problem Set 8 1. For the following journal article: P.Y. Chevalier, “ A thermodynamic evaluation of the Au-Ge and Au-Si systems ”, Vol. 141 (1989) pp. 217-226 Provide the following for the Au-Ge equilibrium binary phase diagram for temperatures above 300K: a. List and provide a brief description of the G k o,p1 p2 for all the components and phases provided in the paper. b. Describe the solution model that is used for G mix xs,p’s or the , xs p k G ’s . List them and provide a brief description. c. Choose a reference state and then derive the G mix p curves for all phases of the Au-Ge equilibrium binary phase diagram. d. Using what you found for the G k o,p1 p2 in part a, derive the remaining G k o,p1 p2 ‘s that are missing. Keep in mind that you should have 6 total (the sum from both the paper and what you have derived) e. Using a mathematical program, plot the
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Unformatted text preview: ∆ G mix p curves for all phases of the Au-Ge equilibrium binary phase diagram and point out and provide insight to temperatures of interest. Include any calculations or derivations that are required to obtain the equations for ∆ G mix p ’s. f. Derive the two equations that describe the equilibrium and that can then be solved for each two phase region of Au-Ge equilibrium binary phase diagram. The final form of the equations should be similar to the one given in class. g. For the FCC+L the two phase region and using a mathematical program, solve the two equations over an appropriate range of temperatures (i.e., temperature range must include phase transition points of interest and temperature steps – if you are not sure, ask). Plot the solutions (using data points) and connect the data points with lines. That is, plot the temperature versus the factional composition of one of the components....
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