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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: 184,1828.
2. Solve the following problems from Chapter 20 of McQuarrie’s text (attached)
related to Brownian motion: 204, 2018, 2026.
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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