Adsorption of chlorobenzene vapor on V2O5/Al2O3 catalyst under dynamic conditions
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Abstract
Adsorption dynamics of chlorobenzene vapors on a 5% V2O5/Al2O3 catalyst has been investigated using the frontal chromatography technique. The uptakes of chlorobenzene have been measured as a function of vapor concentration and adsorption equilibrium has been found to follow formally the Langmuir isotherm. The breakthrough time proved to be a linear function of the column length as expected. Breakthrough profiles have been reported for different experimental conditions and quantitatively fitted by a reduced lumped diffusion model. This model provides an analytical solution that facilitates engineering calculations. Model parameters show complex behavior as functions of stream characteristics and depend on column length. When empirical expressions relating model mass transfer coefficients with influencing variables are found the model demonstrates good accuracy in predicting column performance.
Keywords
Adsorbents Diffusion and kineticsAbbreviations
- ap
specific external surface area of particles, cm2 cm−3
- b
adsorption constant in the Langmuir isotherm, l g−1
- Bi
Biot number
- c
concentration in gas phase, g l−1
- D
internal diffusion coefficient, cm2 min−1
- Dax
axial diffusion coefficient, cm2 min−1
- DK
Knudsen diffusion coefficient, cm2 min−1
- DKm
combined diffusion coefficient, cm2 min−1
- \(\overline{D}_{Km}\)
combined diffusion coefficient averaged over pore size, cm2 min−1
- Dm
molecular diffusion coefficient, cm2 min−1
- dp
average particle diameter, cm
- h
parameter of the dimensionless Langmuir isotherm
- K
slope coefficient in (5), min cm−1
- K1, K2
coefficients defined by (6), min
- L
column length, cm
- Pe
Peclet number
- q
concentration in solid phase, g (l bed volume)−1
- q⋆
saturation capacity of the adsorbent in the Langmuir isotherm, g (l bed volume)−1
- r
pore radius, cm
- r1, r2
the lower and upper limit of a pore size distribution respectively, cm
- R2
coefficient of determination
- St
Stanton number
- T
temperature, °C
- t
time, min
- t0
intercept in (5), min
- u
c/c 0, dimensionless concentration in moving gas phase
- v
superficial flow velocity, cm min−1
- x
axial coordinate, cm
- z1, z2
variables defined by (7) and (8) respectively
Greek symbols
- βe
external mass transfer coefficient, min−1 (l gas phase) (l bed volume)−1
- βi
internal mass transfer coefficient, min−1
- βk
k=0,1,2,3, adjustable coefficients defined in Table 7
- δj,δjk,δjkl
j,k,l=0,1,2,3, adjustable coefficients defined in Table 7
- Γ
adsorption constant, (l gas phase) (l bed volume)−1
- εe
external porosity
- εp
particle porosity
Superscripts
- 0
feed
- s
surface
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