MSE 308 Problem Set 11 - MSE 308 Thermodynamics of...

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MSE 308 Dept. of Materials Science & Engineering Thermodynamics of Materials Spring 2005/Bill Knowlton Problem Set 11 1. In class, you were given: 12 mix J Fc X X mole ⎛⎞ ∆= ⎜⎟ ⎝⎠ . a. Find and FF ∆∆ . b. Check your answers by substituting them into the relation: 11 2 2 mix FX F X F =∆+∆ . 2. Similar to problem 1, the Helmholtz free energy of mixing is given by: 22 mix o J Fa X X mole . a. Find and . b. Check your answers by substituting them into the relation: mix F X F . c. Graph and and mix FFF ∆∆∆ all on the same plot as a function of X 2 over a range of a o from -5000 to 5000 J/mol plotted at 500 J/mol increments. 3. In the following binary system, the partial molar heat of mixing of component 1 can be fitted by the expression: . 2 1 21 o J Ha X X mole . a. Calculate the heat of mixing and the partial molar heat of mixing of component
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