MSE 508 Problem Set 2 Solutions [2011]

MSE 508 Problem Set 2 Solutions [2011] - MSE 508 Solid...

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MSE 508 Dept. of Materials Science & Engineering Solid State Thermodynamics Spring 2011/Bill Knowlton Problem Set 2 Solutions 1. Using dV and dS as a function of T and P that we derived in class, fully derive the rest of toolbox 3 (i.e., dU , dH , dF , and dG ). See DeHoff pages 73 – 74, equations 4.41 – 4.43. 1
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MSE 508 Dept. of Materials Science & Engineering Solid State Thermodynamics Spring 2011/Bill Knowlton 2
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MSE 508 Dept. of Materials Science & Engineering Solid State Thermodynamics Spring 2011/Bill Knowlton 2. Derive the relationship that describes the dependence of Helmholtz free energy upon entropy and temperature. Substituting M and N into dF , we have: 1 v v dF MdS NdT PP S T dS C dT TP PS T Cd T d          S 3
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MSE 508 Dept. of Materials Science & Engineering Solid State Thermodynamics Spring 2011/Bill Knowlton 3. Consider the situation in which you were asked to compare the numerical values of the coefficient: V F S    for a monatomic ideal gas, for a solid, or a liquid. To do such a comparison, derive the state function in differential form and the coefficient as a function of materials parameters that you would use to make the comparison. Then, discuss how the coefficient would compare between the following: a monatomic ideal gas, for a solid, or a liquid.
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MSE 508 Problem Set 2 Solutions [2011] - MSE 508 Solid...

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