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2011 MSE 508 Problem Set 6

2011 MSE 508 Problem Set 6 - MSE 508 Solid State...

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MSE 508 Dept. of Materials Science & Engineering Solid State Thermodynamics Spring 2011/Bill Knowlton 1 Problem Set 6 1. In class, we found that ln k k RT a m D = . Using the toolbox 5 tables, derive Toolbox 5- 4 disregarding the first three and last listings in the tables. That is, derive the following: Toolbox 5-4: Relations between the PMPs of component k and its activity , ln ln k k k k p n a S R a RT T   , ln k k k T n a V RT P 2 , ln k k k p n a H RT T   2 , , ln ln k k k k k p n T n a a U RT PRT T P   , ln ln k k k k T n a F RT a PRT P 2. In the system Pandemonium (Pn) – Condominium (Cn), the partial molar heat of mixing of Condominium (Cn) can be fitted by the expression: . 2 where 12,500 Cn Pn Cn J H aX X a mole . Calculate and plot the function that describes the variation of the heat of mixing with composition for this system. In plotting the function, do so with a mathematical program that is not Excel. Do comment and provide insight to your plot. 3. Below is a thoroughly stated problem with a thoroughly provided solution. Create a a thoroughly problem and a thoroughly stated solution that parallels the problem and solution provided below. For the problem, you will either need to create your own data or find data (the literature: text books, journal articles, etc.). Be as thorough as the problem and solution is below. PROBLEM: Data are given below for the xs mix G as a function of composition for a liquid solution of Fe and Mn at 1863 K. Using the data, thoroughly answer the following questions and comment and provide insight to each of the thoroughly labeled plots that you generate: X Mn 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9

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