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Unformatted text preview: University of California Santa Barbara, Department of Chemical Engineering ChE 210A: Thermodynamics and Statistical Mechanics Problem set #5 Due: Friday, ctober 30, 2009 Objective: To understand and manipulate the thermodynamic properties of ideal and nonideal gases, and to understand relationships between thermodynamic variables at phase equilibrium. 1. Statistical antics : Fast-forward 25 years into the future. What scientific or technological advance do you think will have had the biggest impact on the human condition? (a) nanomachines and new nanomaterials; (b) stem cells and regenerative medicine; (c) new energy sources (e.g., solar, fusion); (d) personalized medicine and genetic diagnostics & therapies; (e) robots, artificial intelligence, and quantum computers; and (f) low-cost space exploration. 2. Conceptual problem (1 point). Consider the exact, quantum-mechanical expressions for ideal gases derived in class. Write an expression for the function gG, that includes the parameter G . Show that the behavior of the entropy as 0 is unrealistic in a quantum sense. The Sackur-Tetrode equation is valid when the thermal de Broglie wavelength is much...
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- Spring '09