HW9_MS115a

HW9_MS115a - MS 115a, Problem Set #9 assigned 11/28/11 due...

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MS 115a, Problem Set #9 assigned 11/28/11 due 12/2/11 will not be accepted late 1. Show that the chemical potential of species A in an ideal solid solution is given by A = A o + RTln(X i ) where A o is the chemical potential in the pure state. 2. The enthalpy of mixing of a regular solution is given by H mix = X A X B , where is a constant that can be related to the energy parameter, є , of the quasichemical model of solutions. Show that for > O (clustering) the maximum temperature at which phase separation occurs is given by T max = /2R. Hints: (1) note that the maximum occurs at X A = X B = 0.5; (2) note that phase separation occurs because G mix has a double minima shape at low temperature, thus it changes from positive curvature to negative curvature at T max . 3. The metallic elements A and D form a solid solution at room temperature. On cooling, phase separation occurs and the critical temperature, T max , is 245K. What is the difference between the energy of A-D bonds and the average of the A-A and D-D bonds?
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This note was uploaded on 01/03/2012 for the course MS 115a taught by Professor List during the Fall '09 term at Caltech.

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HW9_MS115a - MS 115a, Problem Set #9 assigned 11/28/11 due...

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