ChE 150B
Prolem Set 3
Due Friday, September 17, 2010
Problem 1. (25 Points) This problem is a continuation of Problem 4 in Problem Set 2.
To
proceed, you will need to solve the differential equation obtained that was derived for
absorption into a falling film together with the appropriate boundary conditions in order
to obtain the concentration and flux profile in the xdirection at various values of length
(z) in the film.
The following parameters are relevant to this problem:
9
2.1 10
AB
D
−
=
⋅
m
2
/s
0.5
L
=
m,
4
5.0 10
δ
−
=
⋅
m
1000
ρ
=
kg/m
3
0.001
μ
=
kg / m / s
1
A
p
=
atm
0.78
H
=
atm m
3
/ mole
(a) What are the concentration profiles, c
A
(x), and flux of A N
A
(x = 0), at the surface
of the film for values of z equal to 0.25 and 0.5 m?
You may assume that v(x)
≈
v
max
.
(b) Does your solution correspond to the case where the assumption of penetration
theory is valid?
Be sure to explain your answer.
How does your answer depend
on the values of
δ
2
/D
AB
?
Why is this ratio relevant?
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 Fall '10
 HEY
 Solubility, Partial differential equation, 1 m, 0.88 g, 0.001 kg

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