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Consider one of the cylindrical channels that run through an isomerization catalyst as shown below. A catalyst coats the inner walls of each channel. This

Consider one of the cylindrical channels that run through
an isomerization catalyst as shown below. A catalyst coats the
inner walls of each channel. This catalyst promotes the isomer-
ization of n-butane (n-C4H10) species A to isobutene (i-
C4H10) species B.
n-C4H10(g)i-C4H10(g)
an mol ??&.4an mol R
Bulk gas phase
0.01cm diam
channels
(eylindrical pe
Catalytic surfi
A(g)B(g)
The gas phase above the channels contains mixture of A and B
maintained at a constant composition of 60mol%n-C4H10
(A) and 40mol%i-C4H10(B). Gas phase species A diffuses
down a straight channel of diameter d=0.1cm and length
L=2.0cm. The base of each channel is sealed. This is rapid
reaction so that the production rate of B is diffusion limited.
The quiescent gas space in the channel consists of only species A
and B.
a. State three relevant assumptions for the mass transfer
process.
b. Based on your assumptions, simplify the general differential
equation for the mass transfer of species A, leaving the
equation in terms of the flux NA.
c. Using equations for the flux of A in your determined
equation, express the general differential equation in terms
of the concentration cA.
d. Specify relevant boundary conditions for the gas phase
concentration cA.
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