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# PS3 - Department of Chemical Engineering ChE 210A...

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Unformatted text preview: Department of Chemical Engineering ChE 210A University of California, Santa Barbara Fall 2011 Problem Set No. 3 Due: Monday, 10/17/11 Objective : To understand the properties of the fundamental equation, and the features of reversible and irreversible processes. 1. Statistical antics : The 22 nd century travel bureau has the following guided short adventure vacations available to you. Which do you choose? (a) a trip back in time to a famous historical event, (b) a trip across the solar system, (c) a trip through a living system (through reversible shrinking technology), (d) a trip to the future, (e) a trip near the speed of light, or (f) a trip to the Bahamas. 2. Fundamentals problem (3 points). Consider intensive quantities and their relation to thermodynamic states. a) Find the fundamental equation for the intensive quantity ĝ = G/¡ , in differential form. Also give an expression for the pressure ¢ in terms of ĝ and £̂ = ¤/¡ . Define ¥ ≡ ¦ §¨ = ©/¡ . b) For a single-phase, single-component system, consider the following list of intensive variables: ª,¢,«,£ = ¤ © ⁄ ,¦ = ¡ © ⁄ . Write down the complete list of pairs of these variables that each uniquely specifies the state of the system. c) A friend suggests that the intensive pair (g,ª) is enough information to determine the state of a single-phase, single-component system. Is he or she right or wrong? Explain. 3 . Fundamental / applied problem (5 points). A simple model of a one- dimensional elastic band (like a rubber band) is as follows. The band consists of g different segments of length G ....
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PS3 - Department of Chemical Engineering ChE 210A...

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