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Chemical Engineering 150B
Problem Set 1
Due Wednesday September 2, 2009
Problem 1. (15 points) Using Fick's law for a binary mixture, prove the following relations,
a)
The diffusion coefficient of A in
B
equals the diffusion coefficient of
B
in A
b)
J
A
+
J
B
= 0
c)
N
A
+
N
B
=
c
V
Problem 2. (15 points) A gas mixture at a total pressure of 150 kPa and 295 K contains 20%
H
2
, 40% O
2
, and 40% H
2
O by volume. The absolute velocities of each species are 10, 2, and
12 m/s, respectively, all in the direction of the zaxis.
a)
Determine the mass average velocity,
v
, and the molar average velocity,
V
, for the
mixture
b)
Evaluate the four fluxes:
j
O2
,
n
O2
,
J
O2
,
N
O2
.
Problem 3. (15 points) The liquid phase diffusivity of carbon tetrachloride (CCl
4
) in methanol
was reported by Reid, Prausnitz, and Sherwood to be 1.7 x 10
9
m
2
/s at 288 K.
(a)
Use this experimental value to evaluate the association
parameter,
φ
Β
, of methanol.
The viscosity of methanol at 288 K is 0.62 centipoise.
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 Winter '08
 Pines

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