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MSE 308 Problem Set 3 - MSE 308 Thermodynamics of Materials...

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MSE 308 Dept. of Materials Science & Engineering Thermodynamics of Materials Spring 2005/Bill Knowlton Problem Set 3 1. The Omega Potential is a Legendre transformation given by: = U - µ N Derive the differential equation, functionality (e.g., = (?,?,?)), the coefficient relations and Maxwell relations. 2. Derive a Legendre transformation if electrical work is done on the system where: dw dq φ = ± where φ is the voltage potential and q is the fundamental charge on an electron. Assume that both mechanical work and chemical work are also present. Derive the differential equation, functionality, the coefficient relations and Maxwell relations. 3. Extensive variables can be directly measured while intensive variables cannot be directly
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