hw2 - Department of Chemical Engineering University of...

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Department of Chemical Engineering University of California, Santa Barbara ChE 210C Spring 2008 Instructor: Glenn Fredrickson Homework #2 Homework Due: Friday, May 9, 2008 1. Solve the following problems from Chapter 18 of McQuarrie’s text (attached) related to kinetic theory of gases: 18-4,18-28. 2. Solve the following problems from Chapter 20 of McQuarrie’s text (attached) related to Brownian motion: 20-4, 20-18, 20-26. 3. Analyze the linear approach to equilibrium of the Chandrasekhar equation from the theory of Brownian motion. Do this by the method we followed in class to study the Boltzmann equation, i.e. assume f ( r , p ,t ) = f M ( p )[1 + ψ ( p ,t )exp( i k · r )] and analyze the resulting eigenvalue problem to O( k 2 ). Compare your results with those obtained for a dilute gas based on the analysis of the Boltzmann equation. 4. Consider a spherical macromolecule undergoing rotational Brownian motion in the high friction limit. If we denote the orientation of the transition dipole
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hw2 - Department of Chemical Engineering University of...

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