CRE II L 13
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L12 CRE II Heterogeneous Catalysis
Prof. K.K.PantDepartment of Chemical Engineering
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• How to find the rate data ??
•How can we calculate the weight of the catalyst needed for obtaining the given conversion ??
D
BAA
eq
BCAAS
A
Kp
pK
Kpp
pKk
r
1
)(
Ax
AAA rdxFW0
0 //
• Express the partial pressures in terms of xA
AA
A
A
A
x
x
p
p
1
1
0 AA
AR
A
R
x
xarM
p
p
1
)/(
0
)( AA xfr Use numerical / graphical integration
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Finding a Mechanism consistent with the experimental dataDeducing Rate law from experimental data (Example 10.2 , 10.3: Example : Hydrodemethylation of Toluene
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Use of Multiple regression technique (Rate or CONVERSION Data from Differential reactor identical to CSTR)
Y = a0 + a1 X1J + a2 X2J
A0
, a1
… are the parameters of the model.
Use regression methods / Polymath, MATLAB, etc.
k, KB, KT are the parameters of the equation
Evaluation of Rate law Parameters
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Isotherms
Assumptions:
• homogeneous surface
(all adsorption sites energetically identical)
• monolayer adsorption (so no multilayer adsorption)
• no interaction between adsorbed molecules
pK
pKnnn mmad
1
I
n ad
p/p0
Type I Langmuir Adsorption Isotherm
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Isotherms
Multilayer adsorption (starting at B)
Common for pore-free materials
p / p
nad
0
B
Type II
Type IV
Similar to II at low P
Pore condensation at high P
n ad
p /p 0
B
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Isotherms
pK1pK
nθnn mmad
I
nad
p / p 0
Type I Langmuir Adsorption Isotherm
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Assumptions:
• homogeneous surface
(all adsorption sites energetically identical)
• monolayer adsorption (so no multilayer
adsorption)
• no interaction between adsorbed molecules
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Isotherms
Multilayer Physical adsorption (starting at B)
Common for many porous materials
p / p
nad
0
B
Type II
Type IV
Similar to Type II at low P,
Pore condensation at high P
n ad
p /p 0
B
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IsothermsType III
Type IV
nad
p / p 0
Strong cohesion force between adsorbed molecules, e.g. when water adsorbs on hydrophobic activated carbon
n ad
p / p 0
Similar to III at low P
Pore condensation at high P. III and v are rare.
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N2 PhysisorptionAdsorption and Desorption Isotherms
Langmuir Adsorption? •strong adsorption at low P due to condensation in micropores
•at higher P saturation due to finite (micro)pore volume
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PhysisorptionDifferent Adsorbates Used in Physisorption Studies
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NAME ISOTHERM EQUATION
APPLICABILITY
Chemisorption and Physical adsorption
Henry Chemisorption and Physical adsorptionAt low coverages
Freundlich Chemisorption and Physical adsorptionAt low coverages
LangmuirV bp
=θ=V 1+bpn
'V=kp
1nV=kp n>1
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Temkin Chemisorption
Brunauer – Emmett-Teller(BET)
Multilayer ,physical adsorption
Polanyi(c)
physical adsorption
V
= =AlnBpVm
p 1 c 1 p
= + ×V po-p V c V c pom m
ε=RTln po/p
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Determination of Surface Area
• Physisorb an inert gas such as argon or
nitrogen and determine how many
molecules are needed to form a complete
monolayer
• For example, the N2 molecule occupies
0.162 nm2 at 77 K, the total surface area
follows directly
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Determination of Surface Area
• Physisorb an inert gas such as argon or nitrogen and determine how many molecules are needed to form a complete monolayer.
• For example, the N2 molecule occupies 0.162 nm2 at 77 K, the total surface area follows directly.
• Although this sounds straightforward, in practice molecules may adsorb beyond the monolayer to form multilayers.
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• In addition, the molecules may condense in
small pores. The narrower the pores, the easier
N2 will condense in them.
• This phenomenon of capillary pore
condensation, as described by the Kelvin
equation
• Phenomenon can be used to determine the
types of pores and their size distribution inside
a system
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N2 PhysisorptionAdsorption and Desorption Isotherms
0
5
10
15
20
25
0 0.2 0.4 0.6 0.8 1p/p 0
na
d (m
mo
l/g) 1
Adsorption
Desorption
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Adsorption and Desorption Isotherms
III
nad
p/p0
VI
n ad
p/p0
V
n ad
p/p0
I
n ad
p/p0 p/p
II
nad
0
B
IV
n ad
p/p0
B
N2 Physisorption
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Pore Size and ShapeWhy is it important?•it dictates the diffusion process through the material.
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Why is it important?
directly affect the selectivity of the catalytic reaction.
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Pore Size and Shape
Pore Diameter
– micropores (< 2 nm)– mesopores (2 – 50 nm)– macropores (> 50 nm)
Pore Shape– cylinder– slit– ink-bottle– wedge
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vv
Pore Size and ShapeMeasurement Techniques
1 10 100 1000 10000
Pore diameter (nm)
Micro Meso Macro2 50
N2 capillary condensation
Hg porosimetry
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Pore volume determination ( Helium -Mercury Method)
• The pore volume of the catalyst can be determined by the helium-
Mercury method.
• The volume of Mercury and Helium displaced by the catalyst is used
to measured the pore volume of the catalyst.
• Since mercury cannot pass through the pores of the catalyst , the
difference in the volume gives the pore volume.
• Vmercury => extrenal volume of solid, VHe = pore vol+soild vol.
• Pore volume Vg = (Vmercury – VHelium)/(Mass of catalyst)
• Porosity= e= 1/ρp - 1/ρS = ρp Vg
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Pore size distribution
• An important property of catalysts is the distribution of pores across the
inner and outer surfaces. The most widely used method for
determining the pore distribution in solids is mercury porosimetry and
BET method.
Mercury Porosimetry:
• The pore size distribution is determined by measuring the volume of
mercury that enters the pores under pressure.
•
• σ is surface tension of Hg = 0.425 N/m
• Pressures of 0.1 to 200 MPa allow pore sizes in the range 20–7500 nm
to be determined.