This document presents a new mechanism for forming sodium zirconate (Na2ZrO3) through the thermal decomposition of sodium acetate (CH3COONa) and zirconium(IV) acetylacetonate (Zr(C5H7O2)4). Thermogravimetric analysis showed the reaction occurs in three significant weight losses. Fourier transform infrared spectroscopy identified gases like CO2 and CO released during the reaction. X-ray diffraction confirmed the product was sodium zirconate. A kinetic study determined the activation energy, pre-exponential factor, and reaction order for each weight loss region using the Arrhenius equation. The proposed mechanism involves three reactions corresponding to the decomposition
Natural Convection and Entropy Generation in Γ-Shaped Enclosure Using Lattice...A Behzadmehr
This work presents a numerical analysis of entropy generation in Γ-Shaped enclosure that was submitted to the natural convection process using a simple thermal lattice Boltzmann method (TLBM) with the Boussinesq approximation. A 2D thermal lattice Boltzmann method with 9 velocities, D2Q9, is used to solve the thermal flow problem. The simulations are performed at a constant Prandtl number (Pr = 0.71) and Rayleigh numbers ranging from 103 to 106 at the macroscopic scale (Kn = 10-4). In every case, an appropriate value of the characteristic velocity is chosen using a simple model based on the kinetic theory. By considering the obtained dimensionless velocity and temperature values, the distributions of entropy generation due to heat transfer and fluid friction are determined. It is found that for an enclosure with high value of Rayleigh number (i.e., Ra=105), the total entropy generation due to fluid friction and total Nu number increases with decreasing the aspect ratio.
Natural Convection and Entropy Generation in Γ-Shaped Enclosure Using Lattice...A Behzadmehr
This work presents a numerical analysis of entropy generation in Γ-Shaped enclosure that was submitted to the natural convection process using a simple thermal lattice Boltzmann method (TLBM) with the Boussinesq approximation. A 2D thermal lattice Boltzmann method with 9 velocities, D2Q9, is used to solve the thermal flow problem. The simulations are performed at a constant Prandtl number (Pr = 0.71) and Rayleigh numbers ranging from 103 to 106 at the macroscopic scale (Kn = 10-4). In every case, an appropriate value of the characteristic velocity is chosen using a simple model based on the kinetic theory. By considering the obtained dimensionless velocity and temperature values, the distributions of entropy generation due to heat transfer and fluid friction are determined. It is found that for an enclosure with high value of Rayleigh number (i.e., Ra=105), the total entropy generation due to fluid friction and total Nu number increases with decreasing the aspect ratio.
a detailed description of the chapter chemical kinetics (physical chemistry) including different problems by Dr. Satyabrata Si from KIIT school of biotechnology
Fluorescence quenching of 5-methyl-2-phenylindole (MPI) by carbon tetrachlori...IOSR Journals
The fluorescence quenching of 5-methyl-2-phenylindole (MPI) by carbon tetrachloride by steady state in different solvents, and by transient method in benzene has been carried out at room temperature. The Stern–Volmer (SV) plot has been found to be non-linear with a positive deviation for all the solvents studied. In order to interpret these results we have invoked the ground state complex and sphere of action static quenching models. Using these models various rate parameters have been determined. The magnitudes of these parameters imply that sphere of action static quenching model agrees well with the experimental results. Hence the positive deviation in the SV plots is attributed to the static and dynamic quenching. Further, from the studies of temperature dependence of rate parameters and lifetime measurements, it could be explained that the positive deviation is due to the presence of a small static quenching component in the overall dynamic quenching. With the use of finite sink approximation model, it was possible to check whether these bimolecular reactions as diffusion limited and to estimate independently distance parameter R′ and mutual diffusion coefficient D. Finally an effort has been made to correlate the values of R′ and D with the values of the encounter distance R and the mutual diffusion coefficient D determined using the Edward's empirical relation and Stokes–Einstein relation.
Chemical kinetics, also known as reaction kinetics, is the branch of physical chemistry that is concerned with understanding the rates of chemical reactions. It is to be contrasted with thermodynamics, which deals with the direction in which a process occurs but in itself tells nothing about its rate
GCE A LEVEL TOPIC: (A2) CHEMICAL KINETICS
PLEASE DOWNLOAD BECAUSE THERE ARE MANY ANIMATIONS THAT HIDE SOME OF THE CONTENTS (THE ANIMATIONS DO NOT PLAY DURING THE PREVIEW)
Rate of reaction,Order of Reaction,Molecularity of Reaction,Zero Order Reactions,First Order Reactions, Half life of reactuion ,Sequential Reactions,Arrhenius Equation,Temperature Coefficient,Collision Theory of Reaction Rate,Radioactivity
This unit includes: rate of a chemical reaction, graphs,, unit of rate, average rate& instantaneous rate,. factors influuncing rate of a reaction, Rate expression & rate constant, Order & molecularity of a reaction,, initiall rate method & integrated rate law equations, numerical problems,, Half life period, Pseudo first order reaction, Temperature of rate of reaction, Activation energy, collision frequency & effective collision, Collision theory, Arrhenius equation,, effect of catalyst on rate of reaction, numerical problems
Solution Manual for A Problem-Solving Approach to Aquatic Chemistry – James J...HenningEnoksen
https://www.book4me.xyz/solution-manual-aquatic-chemistry-jensen/
Solution Manual for A Problem-Solving Approach to Aquatic Chemistry
Author(s) : James N. Jensen
This solution manual include problems of these chapters from textbook: 2، 3، 4، 6، 7، 8، 11، 12، 13، 15، 16، 18، 19، 21 and 22.
a detailed description of the chapter chemical kinetics (physical chemistry) including different problems by Dr. Satyabrata Si from KIIT school of biotechnology
Fluorescence quenching of 5-methyl-2-phenylindole (MPI) by carbon tetrachlori...IOSR Journals
The fluorescence quenching of 5-methyl-2-phenylindole (MPI) by carbon tetrachloride by steady state in different solvents, and by transient method in benzene has been carried out at room temperature. The Stern–Volmer (SV) plot has been found to be non-linear with a positive deviation for all the solvents studied. In order to interpret these results we have invoked the ground state complex and sphere of action static quenching models. Using these models various rate parameters have been determined. The magnitudes of these parameters imply that sphere of action static quenching model agrees well with the experimental results. Hence the positive deviation in the SV plots is attributed to the static and dynamic quenching. Further, from the studies of temperature dependence of rate parameters and lifetime measurements, it could be explained that the positive deviation is due to the presence of a small static quenching component in the overall dynamic quenching. With the use of finite sink approximation model, it was possible to check whether these bimolecular reactions as diffusion limited and to estimate independently distance parameter R′ and mutual diffusion coefficient D. Finally an effort has been made to correlate the values of R′ and D with the values of the encounter distance R and the mutual diffusion coefficient D determined using the Edward's empirical relation and Stokes–Einstein relation.
Chemical kinetics, also known as reaction kinetics, is the branch of physical chemistry that is concerned with understanding the rates of chemical reactions. It is to be contrasted with thermodynamics, which deals with the direction in which a process occurs but in itself tells nothing about its rate
GCE A LEVEL TOPIC: (A2) CHEMICAL KINETICS
PLEASE DOWNLOAD BECAUSE THERE ARE MANY ANIMATIONS THAT HIDE SOME OF THE CONTENTS (THE ANIMATIONS DO NOT PLAY DURING THE PREVIEW)
Rate of reaction,Order of Reaction,Molecularity of Reaction,Zero Order Reactions,First Order Reactions, Half life of reactuion ,Sequential Reactions,Arrhenius Equation,Temperature Coefficient,Collision Theory of Reaction Rate,Radioactivity
This unit includes: rate of a chemical reaction, graphs,, unit of rate, average rate& instantaneous rate,. factors influuncing rate of a reaction, Rate expression & rate constant, Order & molecularity of a reaction,, initiall rate method & integrated rate law equations, numerical problems,, Half life period, Pseudo first order reaction, Temperature of rate of reaction, Activation energy, collision frequency & effective collision, Collision theory, Arrhenius equation,, effect of catalyst on rate of reaction, numerical problems
Solution Manual for A Problem-Solving Approach to Aquatic Chemistry – James J...HenningEnoksen
https://www.book4me.xyz/solution-manual-aquatic-chemistry-jensen/
Solution Manual for A Problem-Solving Approach to Aquatic Chemistry
Author(s) : James N. Jensen
This solution manual include problems of these chapters from textbook: 2، 3، 4، 6، 7، 8، 11، 12، 13، 15، 16، 18، 19، 21 and 22.
Apresentação forne cer alumina em revestimentos cerâmicosMarcelo Suster
Apresentação feita durante a 7a Edição da Forn&Cer (O Encontro Internacional de Fornecedores e Cerâmicas, promovida pela Aspacer). O trabalho mostra as diferentes possibilidade de aplicação do óxido de alumínio sintético (alumina calcinada) na cadeia produtiva dos revestimentos cerâmica,
This block #10 is a part of the course series Reactor Engineering (RE)
So far I have uploaded RE1,2,3,4,5,6, and 7
Now is time to study catalysis and catalytic Reactor
This is broken down in 3 Sections
- Catalysis and Catalyst Basics
- Common Catalytic Reactors in the Industry
- Steps of the Heterogeneous Catalysis
This is a series of lectures... want to know more about this?
visit - www.ChemicalEngineeringGuy.com
The Addition of Aluminum Nanoparticles to Polypropylene Increases Its Thermal...IJERA Editor
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This report contains the theory behind the algorithm to find the composition of air at temperatures 200-9000 K. A C++ program for the same is hosted at my profile on GitHub.com/kcavatar.
Kinetic Analysis of TL Spectrum of ϒ-IrradiatedSrAl2O4:Eu2+, Dy3+ NanophosphorIJLT EMAS
Thermoluminescence is a simple technique for studying
the distribution of artificially created or naturally occurring
point defects. In present work we are reanalyzing the
Thermoluminescence response of Eu2+,Dy3+ doped SrAl2O4
nanophosphor at different irradiation dose of ϒ-rays, in
accordance with new method of analysis. Orders of kinetics for
different glow curves are recalculated. Order of kinetics values
are not same as already reported in literature. As per new model
order of kinetics depends on extent of retrapping and from
reanalysis we can infer that all the reported TL responses of
material under consideration are retrapping dominant process.
FREE CONVECTION HEAT TRANSFER OF NANOFLUIDS FROM A HORIZONTAL PLATE EMBEDDED ...AEIJjournal2
In this paper the natural convection heat transfer from a horizontal plate embedded in a porous medium
saturated with a nanofluid is numerically analyzed. By a similarity approach the partial differential
equations are reduced to a set of two ordinary differential equations. In order to evaluate the influence of
nanoparticles on the heat transfer, Ag and Cuo as the nanoparticles were selected. Results show that heat
transfer rate (Nur) is a decreasing function of volume fraction of nanoparticles.
Lattice Parameters and Debye Temperature of Naclx Nabry-X Kcl1-Y Ternary Mixe...IOSR Journals
Mixed crystals of alkali halides find applications in optical, optoelectronics and electronic devices. In the present study the pure and mixed crystals of NaClx NaBry-x KCl1-y were grown from the aqueous solution. The grown crystals were characterized by taking XRD, TG/DTA and Vicker’s hardness measurement. The Debye temperature is an important parameter of a solid. Several methods of evaluating Debye temperature are available. In the present study Debye temperature were calculated from the Debye- Waller factor, melting point and microhardness. The results were compared with the Kopp-Neumann relation.
Computational Analysis of Natural Convection in Spherical Annulus Using FEVIJMER
HEAT transfer by natural convection from a body to its finite enclosure is of importance
in nuclear reactor technology, electronic instrumentation packaging, aircraft cabin design, the
analysis of fluid suspension gyrocompasses, and numerous other practical situations. The steady
natural convection heat transfer of fluids between two concentric isothermal spheres is investigated
computationally with the help of FEV in ANSYS 14.5. The inner wall is subjected to a higher
temperature and outer is at room temperature. The steady behavior of the flow field and its
subsequent effect on the temperature distribution for different Rayleigh numbers and radius ratios
are analyzed.
Bossious boundary condition is taken for natural convection and which is solved in fluent
module. Steady solutions of the entire flow field is obtained for Rayleigh number (5x101<ra><105),><rr><3). The result shows that the Rayleigh number and
radius ratio have a profound influence on the temperature and flow fields and Prandlt number has
very negligible effect. The results of average Nusselt numbers are also compared with those of
previous numerical investigations. Excellent agreement is obtained.
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11.a new mechanism of sodium zirconate formation
1. Chemistry and Materials Research www.iiste.org
ISSN 2224- 3224 (Print) ISSN 2225- 0956 (Online)
Vol 2, No.1, 2012
A New Mechanism of Sodium Zirconate Formation
Leonor Cortés-Palacios1*, Virginia I. Collins M.2, Alberto Díaz D.2, Alejandro López O.2
1. College of Zootechnology and Ecology, Autonomous University of Chihuahua, Mexico. Perif.
Francisco R. Almada Km 1, C.P. 33820, Chihuahua, Chih., Mexico.
2. Advanced Materials Research Center (CIMAV). Miguel de Cervantes No. 120, C.P. 31109.
Chihuahua, Chih., Mexico.
* E-mail of the corresponding author: leonor.cortes@cimav.edu.mx
Abstract
The objective of this study was to synthesize sodium zirconate (Na2ZrO3) from the thermal decomposition
of two reactants; sodium acetate (CH3COONa) and Zirconium(IV) acetylacetonate (Zr(C5H7O2)4). The
Na2ZrO3 formation mechanism has not been previously reported as it is shown in this work. Also, the
reagents are soluble in ethanol; making it possible to apply the mechanism proposed in a spray pyrolysis
process. The solid-state reaction was derived from the thermal decomposition of its precursors through the
thermogravimetric analysis techniques (TG). The desired product formation was proven by means of an
x-ray diffraction technique while the gaseous by-products of the reaction were analyzed using of the IR
spectroscopy method (FTIR). Solid-state reaction has three significant weight losses and the TG technique
displays these behaviors. The kinetic reaction study was completed using the determination of the
activation energy, the pre-exponential factor and the reaction order of such regions. Finally, it was
numerically proven that the chemical reaction behavior is well reproduced using the Arrhenius-type kinetic
model.
Keywords: Sodium zirconate, Arrhenius equation, solid-state reaction, thermal decomposition.
1. Introduction
Natural gas reformation is a predominant course for large scale hydrogen (H2) production. In order to
optimize this process, CO2 is captured in situ by means of a solid absorbent. The sodium-based ceramics
(Na2ZrO3, Na2TiO3, Na3SbO4) are good CO2 sorbents and the sodium zirconate (Na2ZrO3) has better
characteristics for capturing CO2 as compared to those of Li2ZrO3 (López et al. 2005). Due to its good
sorbent properties, designing an efficient process to produce sodium zirconate in a controlled manner was
interesting. The Na2ZrO3 may be obtained in a liquid-state reaction between NaNO3 and ZrO(NO3)2 using
citric acid and ethylene glycol as the complex agent (Näfe and Subasri 2007). Another method exists for
synthesizing Na2ZrO3 and sodium hydroxide (Lazar et al. 2002), an industrial process that aims to purify
minerals, mainly composed of ZrO2 SiO2. This process breaks down the minerals in alkaline fusion with
sodium hydroxide at temperatures above 600 °C; and it produces a mixture of sodium zirconate, sodium
silicate and sodium silicate zirconium. This mixture is then subjected to various separation and purification
processes. Another method to synthesize sodium zirconate is through a solid state reaction between sodium
carbonate and zirconium oxide (Escobedo et al. 2009). It is generally agreed that the formation of Na2ZrO3
by means of a solid-state reaction is more efficient than other techniques. The objective of this paper was to
propose a new mechanism of synthesis of Na2ZrO3 from zirconium(IV) acetylacetonate and sodium acetate
in solid state. The mechanism will be coupled to a formation of sodium zirconate nanoparticles in a spray
pyrolysis process as previously described by Cortés and Díaz 2006. In the literature, articles and reports
dealing with the selected reactants can be found. The thermal decomposition of sodium acetate between
400 and 550 °C releases an acetone molecule, leaving a solid residue of sodium carbonate (Judd et al.
1974). The reactions of zirconium(IV) acetylacetonate decomposition in nitrogen demonstrated that
Zr(C5H7O2)4 has a complete decomposition into ZrO2 at 800 °C through the intermediates of
Zr(CH3COO)2(C5H7O2)2 at 190 ºC, ZrO(CH3COO)2 at 340 ºC and ZrOCO3 at 450 ºC (Hamdy 1995). On
31
2. Chemistry and Materials Research www.iiste.org
ISSN 2224- 3224 (Print) ISSN 2225- 0956 (Online)
Vol 2, No.1, 2012
the other hand, the zirconium acetylacetonate decomposition in air (Wang et al. 2000), using
thermogravimetry and infrared spectrometry (IR) show significant losses occur in three temperature regions;
110–187 °C, 187–245 °C and 245–440 °C. The IR spectrum of zirconium(IV) acetylacetonate heated at
different temperatures up to 450 °C indicated that every acetyl acetone structure was completely
decomposed at 310 ºC. The decomposition of precursors ends at 440 ºC. The thermal decomposition of
zirconium(IV) acetylacetonate produces a final solid residue of zirconium oxide (zirconia). Additionally, a
kinetic study is proposed to describe the chemical reaction progress since the precursors, zirconium(IV)
acetylacetonate and sodium acetate.
2. Materials and Methods
The materials used for studying the solid-state reaction were the Aldrich sodium acetate and the
Sigma-Aldrich zirconium acetylacetonate with 99% and 98% purity, respectively. These two reactants were
mixed in a pestle with a stoichiometric ratio of 1:2 (Escobedo et al. 2009).
In order to accomplish the kinetic study of the sodium zirconate synthesis from the thermal decomposition,
we used the Arrhenius parameter determination methodology (Gill et al. 1992), through the
thermogravimetric analyses (TG). TG is a thermal analysis technique which measures the weight change
degree and rate of a material as a function of temperature or time in a controlled environment. The analyses
were conducted in a heating ramp at 15 °C min-1 at room temperature up to 950° C, in a flow of air and
argon in the same proportion, at 20 ml min-1 in an SDT Q600, TA. A TG analysis was performed separately
for each reactant and the stoichiometric mixture of both reactants. The mixture was then subjected to other
TG analyses with six different heating rates (2, 5, 8, 10, 15 and 20º C min-1) to estimate the parameters of
the following model.
The kinetic constant of the solid-state reaction (k) was determined by Arrhenius law (Levenspiel 1998):
E
k = Z exp − (1)
RT
Where:
k = The kinetic coefficient
Z = The frequency factor
E = The reaction activation energy
R = The gases constant
T = The temperature
The equation (1) interfaces with the experimental data in wide temperature intervals and is considered as
the first adequate estimation to study the temperature impact on the kinetic equation. For example, this
equation may be applied to the kinetic study of polymers and composites (Yuzay et al. 2010), as well as
solid-state formation of oxides (Roduit et al. 1996). The thermal decomposition often follows the Arrhenius
kinetic model (Tanaka 1995):
dα E
= f (α ) Zexp − (2)
dt RT
Where:
α = The weight loss fraction
f(α) = The function of α not depending on T, in this case is: (1 − α )n
n = The reaction order
t = The time
32
3. Chemistry and Materials Research www.iiste.org
ISSN 2224- 3224 (Print) ISSN 2225- 0956 (Online)
Vol 2, No.1, 2012
T = The temperature
dα dα
At a constant heating rate of: = β , where is the heating rate.
dt dT
The activation energy has a slight deviation from the Arrhenius standard kinetic (Flynn and Wall 1996) so
that:
R d (ln β )
E=− (3)
b 1
d
T
Where:
b is a parameter which depends on the value of E/RT. b could be deduced from tables and by means of an
iterative method (Flynn and Wall 1996).
Using this technique for a given temperature, a preliminary estimation of E is selected and yields a first
estimation of b. This value of b then provides a new approximation of E; the iterations are repeated until b
and E converge. In this report, parameters b and E were determined for each significant weight loss during
the global reaction; in other words, each weight loss corresponded to an intermediate reaction.
A TG analysis at a constant temperature or with minor temperature variations, was performed for each one
of the significant weight losses in the global reaction to determine the reaction order n. The curve of
ln(dα dt ) vs ln (1 − α ) was plotted and the slope of a linear regression fit provided the value of n as
described previously (Gill et al. 1992). Equation 3 then yields the frequency factor:
dα E
ln Z = ln + − ln (1 − α )
n
(4)
dt RT
In this comportment, the values of E, Z and n were obtained for each significant weight loss in the global
reaction.
The gas compounds, which were produced as byproducts of the thermal degradation in the TG device, were
transported to a cell with NaCl windows by means of airflow at a 20 ml min-1 rate. These gases were then
analyzed with IR spectroscopy, using a Nicolet System Magna–IR 750 Spectrometer Series II. A Fourier
transform infrared spectroscopy (FTIR) was then used to obtain a spectrum over a 500–4,000 cm-1 range for
each 20° C temperature increment in the TG device.
The crystalline structure of the final solid product of the thermal decomposition was analyzed by making
use of the X-ray diffraction technique (XRD) in a PANalytical X'pert PRO MPD device with a (Cu Kα)
X'Celerator detector in a range of 10 to 80 degrees.
3. Results and Discussion
Three thermogravimetric analyses were obtained; the first in zirconium acetylacetonate, the second in
sodium acetate and the third in a mixture of both in a ratio of 1:2 (Figure 1). Figure 1 demonstrates three
significant weight losses. Figure 2 also shows the TG analyses of the reactant mixture at six different
heating rates; 2, 5, 8, 10, 15 and 20 ºC min-1. Due to these analyses, the determination of the Arrhenius
parameters was performed. We get to trace the gas compounds released during the solid-state reaction. So,
the gases obtained from the thermogravimetric analysis (in the conditions previously described), were
analyzed with FTIR spectroscopy. The FTIR spectroscopy analyses of the output gases were performed
every 20 °C (from 40 to 940 ºC in the TG device). Figure 3 notes the more representative FTIR spectra,
corresponding to the three significant weight losses; 220, 500 and 700º C. One can also observe the
characteristic stripes of the following gases; carbon dioxide (A), methane (B), acetone (C) and carbon
33
4. Chemistry and Materials Research www.iiste.org
ISSN 2224- 3224 (Print) ISSN 2225- 0956 (Online)
Vol 2, No.1, 2012
monoxide (D).
The composition of the final product from the zirconium acetyl acetonate and sodium acetate reaction was
sodium zirconate; this may be appreciated in results of the X-ray diffraction analysis of the solid residue.
Figure 4 examines the characteristic peaks of the monoclinic and hexagonal phases of Na2ZrO3 (Ampian
1968).
The thermal decomposition of each reagent was stoichiometrically summed, obtaining a theoretical
prediction of the decomposition if there was not an interaction between these reagents (see Figure 5). This
theoretical curve was compared to the TGA in the mixture with a stoichiometric ratio. Byproducts of the
first decompositions of zirconium acetylacetonate in air between 150 and 220 ºC, exhibited the following
bonding types (Wang et al. 2000); γ(C-CH3)+ γ(C=C), δ(CH)+ γ(C-CH3) and γ(C=C)+ γ(C=O). Such
decompositions are consistent with the theoretical stoichiometric calculations and correspond to the first
weight loss (Figure 1). The preponderant released gases that were detected by FTIR at 220º C were CO2
and CO (Figure 3). Therefore, the first weight loss was due to the decomposition of zirconium
acetylacetonate since the sodium acetate did not exhibit any thermal degradation (Figure 1).
In Figure 5, after 350° C, an important difference between the curves of the theoretical sum and the
experimental result, with the stoichiometric mixture, can be observed. This is due to the interaction
between the two reactants. The FTIR analysis of the released gases helps to propose a possible reaction
mechanism for each weight loss. In Figure 3, the FTIR analysis results are shown for each of the three
weight losses. Based on the FTIR results and on previous information5,8, we propose three global reactions
enclosing the three significant weight losses.
Equation 5 corresponds to the first weight loss and as previously mentioned, to the decomposition of
zirconium acetylacetonate; the product of this first reaction was Zr(CH3COO)2(C2H7O2)2. In the second
weight loss, sodium acetate tends to decompose and a reaction with Zr(CH3COO)2(C2H7O2)2 was proposed
as shown in Equation 6. The solid byproducts were ZrO2 and Na2CO3. Finally, in the third weight loss,
these two byproducts react to form Na2ZrO3 (Nafe and Subasri 2007) with a CO2 release as shown in
Equation 7. These three reactions comprise the transformations undergone by zirconium acetylacetonate
and sodium acetate.
Zr (C 5 H 7 O2 )4 + 11O2( g ) → 6CO2 + 6CO( g ) + 4 H 2 O( g ) + Zr (CH 3COO )2 (C 2 H 7 O2 )2 (5)
Zr (CH 3 COO )2 (C 2 H 7 O2 )2 + 2CH 3 COONa + 4O2( g ) →
(6)
3CO2( g ) + 3CO( g ) + CH 3 COCH 3( g ) + 2CH 4 ( g ) + 5H 2O( g ) + ZrO2 + Na 2 CO3
ZrO2 + Na 2 CO3 → Na 2 ZrO3 + CO2( g ) (7)
In order to understand the reactions of the kinetic study, the first step was necessary to determine the kinetic
parameters utilizing the Arrhenius equation. This was achieved through the TG data of the stoichiometric
mixture with different heating rates (Figure 2). The Arrhenius parameters shown in Table 1 were obtained
in this manner.
Such parameters were introduced in the kinetic equation of thermal decomposition (Equation 2) which was
solved numerically. With the aim of validating the calculations, these numerical theoretical values were
compared to the experimental values. Figures 6, 7 and 8, display these comparisons for the three significant
weight losses. These same figures show an axis horizontal to time and in the vertical axis, the weight loss
fraction (in the TG analyses: %Weight equals (1 - α)*100). The differences between the theoretical values
and the real values were represented with vertical bars. These differences stem from the simplification of
taking the constant temperature and the fact that in the reaction, a number of coupled changes occur in
every weight loss.
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4. Conclusions
In this study, we synthesized sodium zirconate from thermal decomposition of the initial reagents (sodium
acetate and zirconium acetylacetonate). Sodium Zirconate and gaseous sub-products were estimated. This
information has proposed a formation mechanism. The Arrhenius parameters were estimated using the TG
information. The kinetic model of thermal decomposition fed with the determined Arrhenius parameters,
follows the chemical reaction behavior of zirconium acetylacetonate and sodium acetate in solid state. The
final product of the solid-state reaction of the stoichiometric mixture of reactants is sodium zirconate (see
Figure 4 and Equation 7).
The reagents thermal decomposition rates are higher than sodium zirconate formation velocity. However, at
higher temperatures, both rates are increased, reducing the sodium zirconate formation time.
The results of this research will be applied to a model published in a previous work (Cortés and Díaz 2006)
studying the formation of nanoparticles in a spray pyrolysis process. This model describes the influence of
the solvent evaporation and the temperature drop (Lenggoro et al. 2000). The ultimate objective is
optimizing the production of sodium zirconate nanoparticles in a controlled spray pyrolysis process. This
product may be used as a carbon dioxide absorbent and it may be applied to obtain hydrogen in the methane
gas reformation process (Escobedo et al. 2008).
References
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Levenspiel, O 1998 Chemical Reaction Engineering, 3rd edn, Wiley USA.
López, A. Pérez, N., Reyes A., Lardizábal D. 2005, 'Novel carbon dioxide solid acceptors using sodium
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Note
The authors gratefully acknowledge Ph.D. Héctor Rubio Arias, Eng. Luis De La Torre Sáenz, M.C. Daniel
Lardizábal Gutiérrez, M.C. Manuel David Delgado Vigil and M.C. Enrique Torres Moye, for their support
during the execution of this research.
Table 1. The Arrhenius parameter of the stoichiometric mixture.
Temperature (°C) Z E (kJ/mol) n
1) 195 4.9E22 200 2
2) 327 5.39E17 225 1.2
3) 704 1.47E15 364 0.9
The Arrhenius parameters obtained for each significant weight loss.
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Figure 1. Thermal gravimetric analysis of Zirconium acetylacetonate, Sodium acetate and their
stoichiometric mixture.
Figure 2. Thermogravimetric analyses of stoichiometric mixture with different heating rates.
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Figure 3. FTIR analyses of the gases produced during the TGA of the mixture of reactants at 220º C, 500º
C and 700° C.
Figure 4. X-ray diffraction pattern of the solid residue and the characteristic peaks of sodium zirconate
(Na2ZrO4).
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Figure 5. Thermal gravimetric analysis of stoichiometric mixture and the theoretical sum (the addition of
reagents with stoichiometric calculations).
Figure 6. Comparison of the theoretical and experimental results for the first weight loss (195 °C) of the
Zirconium acetyl acetonate/Sodium acetate reaction.
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Vol 2, No.1, 2012
Figure 7. Comparison of the theoretical and experimental results for the second weight loss (327 °C) of the
Zirconium acetyl-acetonate/Sodium acetate.
Figure 8. Comparison of the theoretical and experimental results for the third weight loss (704 °C) of the
Zirconium acetylacetonate/Sodium acetate.
40
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