Kinetics of silica dissolution from rice husk char.
Benke, Dean J. ; Wainwright, Mark S. ; Nigam, K.D.P. 等
The effect of leaching time and temperature on the ash content of
rice husk char and the resultant surface area development was
investigated. Experiments on dissolution of rice husk char ash with 0.5
mol NaOH solution were conducted at 40[degrees]C, 60[degrees]C,
80[degrees]C and 95[degrees]C for different times up to 7200 s. The
surface areas of the leached chars after drying were determined using
Micromeritics 2200 surface area analyzer. The leaching data was analyzed
using different models applicable for fluid-solid non-catalytic
reactions. It was found that the data could be satisfactorily
represented by diffusion-controlled mechanism as well as modified
shrinking core models. The activation energies were in the range of
41.75 to 51.25 kJ/mole. The surface areas of the leached chars were
found to depend linearly on the percentage of ash content in the chars.
On a etudie l'effet du temps de lessivage et de la temperature
sur la teneur en cendres de cosses de riz carbonisees et le
developpement de surface qui en resulte. Des experiences ont ete menees
sur la dissolution des cendres de cosses de riz avec une solution de
NaOH de 0,5 mole a 40 [degre]C, 60 [degre]C, 80 [degre]C et 95 [degre]C
pour differents temps allant jusqu'a 7200 sec. Les aires de
surfaces des cendres apres le sechage ont ete determinees a l'aide
d'un analyseur de surface 2200 de Micromeritics. Les donnees de
lessivage ont ete analysees a l'aide de differents modeles
applicables a des reactions fluide-solide non catalytiques. On a trouve
que les donnees pouvaient etre representees de maniere satisfaisante par
le mecanisme controle par la diffusion et par les modeles de noyau retrecissant modifies. Les energies d'activation sont comprises
entre 41,75 et 51,25 kJ/mole. On a trouve que les aires de surfaces des
cendres lessivees dependaient lineairement du pourcentage de teneur en
cendres dans les produits carbonises.
Keywords: silica dissolution, solid-liquid reactions, heterogeneous
reaction, rice hull char, leaching
INTRODUCTION
Activated carbon is widely used for removal of hazardous pollutants
like different phenols, chromium compounds, etc., from industrial waste
water streams and also for adsorption of gaseous pollutants from gas
streams. Due to high cost of activated carbon, cheaper resources of
carbon are being developed for adsorption of pollutants. Agro based
biomass materials are quite promising as they are available in large
quantities and also cheap. Among these, rice husk is the most important
material. Several methods are used to produce activated carbon and among
them, the silica dissolution technique using sodium hydroxide is
attractive due to co-production of sodium silicate. El Sayed et al.
(1979), studied silica leaching from rice husks with sodium hydroxide
solution of different concentrations and at different temperatures. They
reported that maximum silica removal occurred at temperatures between
50-60[degrees]C. Moya Portugez et al. (1988), reported that sodium
hydroxide not only remove silica but also some bio-organic compounds
from rice hulls. The dissolution of silica from rice husk ash with lime
was investigated by Rama Rao et al. (1989), Borthakur et al. (1980), and
James and Rao (1986, 1987). They studied the lime reactivity of silica
in terms of process variables including temperature, time of pyrolysis of ash preparation, and cationic impurities. Jain et al. (1995),
reported process development methods for preparation of sodium silicate
and potassium silicate by leaching of rice husk chars.
It has been found that silica dissolution process is affected by
several factors. El Sayed et al. (1979) reported that at higher leaching
temperatures the ash content in the treated rice husk increased which
was attributed to reprecipitation of dissolved silica on the fibres.
Rama Rao et al. (1989), and James and Rao (1988) reported that temporary
formation of gelatinous silicate hydrate enveloped the silica grain as a
semi-permeable membrane and inhibited the diffusion mass transfer rates
of sodium hydroxide for reaction. Iler (1979) has reported that there is
a possibility of re-adsorption of soluble silica onto the char surface
by two different mechanisms. They also reported that an increase in the
viscosity of sodium silicate formed within the solid could also inhibit
the rate of diffusion of sodium hydroxide within the porous structure.
There are few studies of the leaching of silica from rice husk char and
no work has been reported on the kinetics of the silica dissolution. The
present work attempts to determine the kinetic parameters for silica
dissolution and also surface area development in the resultant leached
chars. Cheng et al. (2000), studied the reaction of silica with ethylene
glycol in the presence of high boiling organic amines as catalyst. It is
reported that the silica dissolution is found to be pseudo zero order in
silica. The activation energy reported is 58 kJ/mol.
EXPERIMENTAL
The rice husk char used was a single batch of material produced in
an industrial pyrolyser/combustion unit by the company BIOCON that is a
division of the Ricegrowers Cooperative. The char was produced from rice
husk waste material as part of a heat recovery process. Rice husk char
having 67.6% ash content was ground to powder form and the fraction
passing through 250 microns sieve was collected and used in the
experiments. Sodium hydroxide solution of 0.5M concentrations was used
for leaching. 200 ml of the solution was placed in 250 ml conical flasks
and immersed in a Paton's reciprocating shaking bath at a set
temperature and a frequency of 1 rpm. The temperature in the shaker bath
was monitored until the desired temperature of the solution was reached.
The flasks were then taken out and 2 gm of the rice husk char were added
to each flask and shaken thoroughly in order to ensure complete wetting
of char in the solution and then placed back in the shaker bath and zero
time recorded. The flasks were taken out from the shaker after
predetermined leaching times and the char and the liquor were separated
immediately by filtration. The treated char was then washed thoroughly
with distilled water and dried in an air oven at 60[degrees]C. The ash
contents were determined by placing the dried char samples in a muffle
furnace at 600[degrees]C for 24 h. The surface areas of the treated
chars were obtained using Micromeritics 2220 high-speed single point BET
surface area analyzer. Rice hull char ash component was determined by
using X-Ray Fluorescence. Approximately 96% of the ash content comprised
of silica was obtained.
THEORETICAL
The leaching of silica with sodium hydroxide solution is a typical
example of a liquid-solid non-catalytic reaction. Several models
reported in the literature for these reactions have been used in the
present study for interpreting the data and determining the rate
parameters. These are given below for spherical solid reactant
particles.
Shrinking Core Model
The time versus concentration relationship for different rate
controlling steps, according to shrinking core model (Levenspiel, 1988)
are given below:
(a) Fluid film diffusion rate controlling:
X = [K.sub.1]t (1)
[K.sup.-1.sub.1] = [rho]R/3[K.sub.g][C.sub.Ao] (2)
(b) Ash layer diffusion rate controlling:
1 - 3[(1-X).sup.2/3] + 2(1-X) = [K.sub.2]t (3)
[K.sup.-1.sub.2] = [rho][R.sup.2]/6[D.sub.eff][C.sub.Ao] (4)
(c) Surface chemical reaction rate controlling:
1 - [(1-X).sup.1/3] = [K.sub.3]t (5)
[K.sup.-1.sub.3] = [rho]R/[K.sub.r][C.sub.Ao] (6)
Modified Shrinking Core Model
Assuming that the limiting reaction step is surface chemical
reaction on the unreacted cored and that the presence of cationic
impurities and sodium silicate deposits on the unreacted core surface
reduce the available surface area for reaction, which is proportional to
the extent of conversion. The rate equation for this type of condition
is given by Yoshioka et al. (1998):
[(1-X).sup.-2/3] -1 = [K.sub.4]t (7)
[K.sup.-1.sub.4] = R[rho]/2[K.sub.r][C.sub.Ao] (8)
Homogenous Model
According to this model, the diffusional resistance for the gaseous
reactant in the solid is considered negligible and the reaction occurs
throughout the solid homogenously. The rate equation is given by:
-dW/dt = [K.sub.5][W.sup.n][C.sup.m.sub.A0] (9)
For n = 1 and m = 1, integration of Equation (9) gives:
-Ln(l-X) = [K'.sub.5]t (10)
where X = 1 - (W/[W.sub.0]) (11)
[K'.sub.5] = [K.sub.5][C.sub.Ao] (12)
Modified Homogenous Model
Here, similar to the modified shrinking core model, the effect
surface area per unit volume can be assumed to be reduced proportional
to the extent of conversion. The rate equations are given by:
-dW/dt = [K.sub.5]W[C.sub.A0](l-X) (13)
dX/dt = [K'.sub.5][(l-X).sup.2] (14)
Integration of Equation (14) gives:
X/(1-X) = [K'.sub.5]t (15)
Equation (15) is similar to second-order homogenous rate equation.
Parabolic Law
In this case (Kubaschewski and Hopkins, 1953) it is assumed that
rate of thickening of the product layer is inversely proportional to the
thickness of the product layer at any time. The rate equation is given
by:
dy/dt = [K.sub.6]/y (16)
Integration of Equation (16) gives:
1-2[(1 - X).sup.1/3] + [(1 - X).sup.2/3] = [K'.sub.6]t (17)
where, y = (R-[r.sub.c]) (18)
X = 1 - [([r.sub.c]/R).sup.3] (19)
[K'.sub.6] = [K.sub.6]/[R.sup.2] (20)
RESULTS AND DISCUSSION
The fractional conversion versus time data for different
temperatures is shown in Figure 1. It is seen that the extent of removal
of silica is not complete but increases with temperature. Complete
removal of silica would not be achieved due to the inability of caustic
soda penetration to all the silica site as same are covered by resistant
carbon structure. It could also be due to some reprecipitation of
silica. Also, high viscosity of caustic soda at lower temperatures
causes resistance for diffusion of caustic soda to penetrate into the
pore structure resulting in lower values of silica removal at lower
temperatures.
[FIGURE 1 OMITTED]
Reaction of silica with caustic soda is a typical non-catalytic
fluid-solid reaction which involves different rate processes like mass
transfer through external fluid film surrounding the solid, diffusional
mass transfer within the porous solid and chemical reaction on the
surface of the solid reactant. Although the chemical reaction step
involves adsorption, desorption and surface chemical reaction with the
adsorbed species, quantitative formulation of these processes is not
possible due to continuous changes in the solid reactant surface and
transient behaviour. Several models have been reported in literature for
non-catalytic fluid-solid reactions. In the preset case, due to the
small size of the reactant, solid particles models, which are
appropriate, are considered for analysis of the data. These are
discussed above.
From the experimental data shown in Figure 1, it is clear that the
time versus conversion data is not linear and hence Equation (1)
corresponding to shrinking core model with fluid film mass transfer as
rate controlling is not satisfactory. Therefore, Equations (3), (5),
(7), (10), (15) and (17) corresponding to other situations have been
used for analyzing the data and to determine the rate constants. This is
done using Microsoft Excel computer programming. Figure 2 shows typical
results for the data obtained at temperature of 60[degrees]C according
to the above model equations. It is observed that there is same
scattering of the data points from linear relationship with some models.
From the complete analysis of the data for all temperatures, it is found
that the homogeneous model with first order kinetics, Equation (10), and
shrinking core model with chemical reaction step as rate controlling,
Equation (5), does not show satisfactory linear trends and the
regression coefficients are below 0.7. Hence, these two models are also
considered not satisfactory. These two models represent chemical
reaction as the rate controlling mechanisms with negligible diffusional
mass transfer resistance within the porous solid. The diffusional mass
transfer may be considerable in view of the pore structure of the solid
and high viscosity of the caustic soda. This fact is further supported
by the activation energy values obtained with other models.
[FIGURE 2 OMITTED]
Figure 3 shows typical data for the parabolic law model for the
four temperatures indicating satisfactory representation of the model.
Table 1 gives the rate constants in Arrehenius form and the
corresponding regression coefficient values for the remaining four
models. These four models represent satisfactorily the experimental
results. The activation energy values obtained are in the range of 41-51
kJ/mol. The activation energy values obtained in the present case are
close to the value of 58 kJ/mol reported by Cheng et al. (2000) for
silica dissolution with ethylene glycol and potassium hydroxide mixture.
It is known that apparent activation energies for chemical reactions are
typically in the range of 80-250 kJ/mol while those for diffusional
processes it is much lower. The activation energy values obtained in the
present case support the view that diffusional resistance strongly
influence the leaching process and the overall reaction is not truly
chemical reaction control. Also, it is known that influence of
diffusional process on chemical reaction decreases the apparent
activation energy with increasing temperatures. This aspect is clearly
seen with respect to parabolic law and shrinking core model with ash
layer diffusion control condition. These two models are typical
diffusion controlled processes. The activation energies are 62 kJ/mol,
54 kJ/mol and 51 kJ/mol for temperature intervals of 40-60[degrees]C,
40-80[degrees]C and 40-95[degrees]C, respectively, for parabolic law
model. Similarly for shrinking core model with ash layer diffusion
control, these are 58 kJ/mol, 50 kJ/mol and 46 kJ/mol for temperature
intervals of 40-60[degrees]C, 40-80[degrees]C and 40-95[degrees]C,
respectively. The decrease in activation energies is clearly observed
from the rate constant values in the Arrhenius plot shown in Figure 4.
This suggests that the overall mechanism of reaction is predominantly
pore diffusion controlled.
[FIGURES 3-4 OMITTED]
In the case of modified shrinking core and homogeneous models the
activation energies increases from 41-42 and 46-47 as the temperature
interval increases. This is contrary to the above observation.
These two models assume chemical reaction step as the main
mechanism of reaction with reduction in surface areas for reaction. The
presence of cationic impurities and reprecipitation of silica justifies
the above models. It can be concluded that the above four models
represent satisfactory the leaching process of silica with caustic soda.
A decisive conclusion of specific representative model is difficult and
requires exact analysis of the structure of the rice husk char and
reactant distribution within the solid.
Figure 5 shows the surface area against fractional conversion of
silica in the treated char for the data of 80[degrees]C. It can be seen
that the surface area in the treated char is well represented by a
linear relation with the percentage conversion of silica or the ash
content in the treated chars. It was found that the data of the
experiments conducted at 40[degrees] C, 60[degrees]C and 80[degrees]C
followed approximately the same relationship between the surface area
and the silica conversion. The data of 95[degrees]C showed a slightly
different relationship with higher values of surface area corresponding
to fractional conversion. This could be due to removal of impurities
both from silica as well as carbon content resulting in development of
higher surface areas. The relationship between surface area against
fractional conversion for data of 40[degrees]C-80[degrees]C and for
40[degrees]C-95[degrees]C data points are given by Equations (21) and
(22), respectively.
A = 3.17X + 51.26 (21) [R.sup.2.sub.0] = 0.92
A = 2.65X + 64.3 (22) [R.sup.2.sub.0] = 0.92
[FIGURE 5 OMITTED]
The intercept value of 51.3[m.sup.2]/g is slightly greater than the
surface area of the untreated char measured by single point nitrogen
adsorption (35 [m.sup.2]/g). However, the value is almost equal to the
surface area of the char (52[m.sup.2]/g) measured by the Omnisorp 100CX.
NOMENCLATURE
A surface area of the char ([m.sup.2]/g)
[C.sub.A0] concentration of sodium hydroxide solution
(mol/[m.sup.3])
[D.sub.eff] effective diffusion coefficient ([m.sup.2]/s)
[K.sub.1] ... [K.sub.4] apparent rate constants ([min.sup.-1])
[K'.sub.5], [K'.sub.6] apparent rate constants ([min.sup.-1])
[K.sub.g] film mass transfer coefficient (m/s)
[K.sub.r] intrinsic reaction rate constant (m/s)
[r.sub.c] radius of the unreacted core of the particle
(m)
R radius of the particle (m)
[R.sup.2.sub.0] regression coefficient (-)
[R.sub.g] gas constant (J/mol.K)
t leaching time (s)
W weight of the solid reactant (kg)
[W.sub.0] initial weight of the solid reactant (kg)
X fractional conversion
Y thickness of the solid product layer (m)
Greek Symbols
[rho] molar density of the solid reactant
(mol/[m.sup.3])
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Dean J. Benke (1), Mark S. Wainwright (2), K. D. P. Nigam (3) and
T. R. Rao (3)*
(1.) Glaxo-SmithKline, Consumer Healthcare, Sydney, NSW, Australia
(2.) School of Chemical Engineering and Industrial Chemistry, The
University of New South Wales, UNSW Sydney, NSW 2052, Australia
(3.) Department of Chemical Engineering, Indian Institute of
Technology, Hauz Khas, New Delhi, Delhi, India
* Author to whom correspondence may be addressed. E-mail address:
trrao@chemical.iitd.ernet.in
Manuscript received September 2, 2005; revised manuscript received
July 26, 2006; accepted for publication July 28, 2006.
Table 1. Rate constants for different models
Model Rate constant
Modified shrinking core Ln[K.sub.4] = -41755/
model (Equation (7)) [R.sub.g]T+10.2
Shrinking core model with ash layer Ln[K.sub.2] = -46379/
diffusion control (Equation (3)) [R.sub.g]T+10.1
Modified homogeneous model Ln[K'.sub.5] = -47420/
(Equation (15)) [R.sub.g]T + 12.8
Parabolic law model Ln[K'.sub.6] = -51232/
(Equation (17)) [R.sub.g]T+ 10.9
Model [R.sup.2.sub.0]
Modified shrinking core 0.99
model (Equation (7))
Shrinking core model with ash layer 0.99
diffusion control (Equation (3))
Modified homogeneous model 0.99
(Equation (15))
Parabolic law model 0.99
(Equation (17))