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Linear Models in Chemical Engineering: Solution Manual
26
16. Do a differential balance on reactant with no variation in the direction.
D
C 2
C 2
r sin 2 d|r + D
r sin 2 d|r+dr
r
r
D
C
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ProblemsandSolutionManual
Linear Models in Chemical Engineering: Solution Manual
18. The coordinate system for the single pore is shown in fig. 18.1. The
control volume is a disk between z and z +
6)
The 2 CVs are the vessel content on the left and right sides of the membrane.
The conserved variables are the moles of A, B and C. There is no need to do a balance on
the moles of product since the product is not asked for and since the product conce
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31
19. Since the catalytic particles are small relative to the distance over which
concentrations change in the fluid phase, we can assume that the surface
concentration is does not cha
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59
Finite dimensional vector spaces.
36. A component balance on stage n gives
Lxn1 + Gyn+1 Lxn Gyn = 0
where the first term accounts for liquid flow from the stage above, the
second ter
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SolutionManual
Linear Models in Chemical Engineering: Solution Manual
48
27. Energy balance on fuel pellet using as CV a shell of thickness dr.
k
dT
dT
T
2
4r2 + k
4r2
4r2 dr q4r
dr
= Cp
dr
dr
t
r
r+
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SolutionManual
Linear Models in Chemical Engineering: Solution Manual
31.
dx
= p(t)x2 + q(t)x
dt
Let y = 1/x x = 1/y .
d y1
1 dy
dx
=
= 2
dt
dt
y dt
Substituted into the Riccati equation, one obt
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World Scientific Book - 9in x 6in
SolutionManual
27
17. The reactant balance gives
d2 C
= k0 + k1 C , C(L) = C0
dx2
The other boundary condition depends on whether or not there is reactant present in the center of the pellet. Let = x/