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CHAPTER 3
MATERIALS AND METHODS
3.1 INTRODUCTION
The following chapter details the materials and methods used in the
present investigation. Ion exchange resin used modification of ion exchange
resin, SEPRW solution preparation, analysis of metal concentration and batch,
column procedure of removal of heavy metals discussed. The mathematical
model used for batch, column and EIX process has also beed described.
3.2 ION EXCHANGE RESIN
The Ceralite IR120 ion exchange resin used in the experiments was
supplied by CDH, India. It is a copolymer of styrene and divinyl benzene.
Table 3.1 shows the physical properties of the resin as given by the supplier.
The resin is a strong acidic cationic exchange resin.
Table 3.1 Physical properties of cation exchange resin Ceralite IR 120
Parameter Ceralite IR 120
Manufacturer CDH, New Delhi
Ionic group H+ strongly cation exchange resin
Particle size 0.045-0.06 (effective size) cm
Density 770 g L1
Exchange capacity (fresh) 4.5 meq g1
Maximum temperature withstanding 120ºC
pH range 1-14
Cross linking 8% DVB
Porosity 0.42
91
It has fairly good capacity and appreciable stability at elevated
temperatures. Before using the resins they were soaked in double distilled
water for 12h and then washed several times with triple distilled water.
3.3 POLYETHYLENEIMINE FOR MODIFICATION OF
CERALITE IR 120
Polyethyleneimine (PEI) is an Aldrich product (Mn–60,000, MW-
7, 50,000, 50% aqueous solution) purchased from Sigma Aldrich Chem. Co
(USA).
PEI also known as poly Aziridination propane (C6H21N5)n is a
typical polymeric amine having chelating properties with various metal ions.
It is known to exist as a linear structure or a branched structure. A colourless
or pale yellow and thick fluid, hygroscopicity, soluble in water, ethanol, is not
soluble in benzene. Commercial branched PEI was employed in the present
work depending on the polymerization process; it contains primary, secondary
and tertiary amino groups in a ratio of approximately 1/4, 1/2 and 1/4,
respectively (Bahulekar et al 1991). PEI possesses quite number of
advantages as polymer chelating agent, such as good water solubility and
suitable molecular weights (Amara and Kerdjoudj 2003).
3.4 ELECTROCHEMICAL TREATMENT ACCESSORIES
The dimensionally stable anodes (DSA) are promising materials for
many electro-organic applications and have been classified as ‘active’ or
‘non-active’, depending on its chemical nature (Simond et al 1997; Malpass
and Motheo 2001).
Active electrodes mediate the oxidation of organic species via the
formation of higher oxidation states oxides of the metal (MOx+1), whenever a
92
higher oxidation state can be reached by the metal oxide (e.g., RuO2) - leading
to selective oxidation (Subbiah et al 1990).
Titanium substrate insoluble anodes with RuO2 coating anodes
were employed in the present investigation since these electrodes are
commercially available and are well known anode material for use in neutral
chloride media. Hence, for this present study stainless steel was selected as
cathode and three DSA (Titanium (Ti), Ti/RuO2, Ti/PbO2) anodes were
selected as anode material.
Stainless steel cathode, Titanium (Ti), Ti/RuO2, Ti/PbO2 anodes
were purchased from Tianno, Ti anode Fabricators Pvt. Ltd, Chennai.
Anion exchange membranes (AEM), cation exchange membranes
(CEM) used in the experiment were NEOSEPTA and NAFION 117
membranes were purchased from Tokuyama Corp., Japan.
3.4.1 Electrochemical Ion Exchange (EIX) Part Setup
Schematic diagram of the electrochemical ion exchange part is
shown in the Figure 3.1(a). It consist of four compartments separated by two
CEM, one AEM membranes and had an effective electrode area of 4.9 dm2
(0.7×0.7 dm). The geometric dimensions of each of the compartments were
0.7×0.7×0.15 dm. Stainless steel plate of size 0.7×0.7 dm was used as a
cathode and metal oxide (RuO2 or PbO2) coated on expanded Ti mesh of area
4.9 dm2 (0.7×0.7 dm) embedded in PVC frame was used as an anode. The
process compartment was filled with 40g of PEI modified Ceralite IR 120
resin (PMR). Provisions are made for electrical connections so as to constitute
an electrolytic cell. The cell had one inlet at the bottom and one outlet at the
top cover for solution runoff.
93
Figure 3.1a Experimental setup of the Electrochemical Ion exchange part
3.4.2 Electrochemical Oxidation (EO) Part Setup
Schematic diagram of the Electrooxidation setup is shown in the
Figure 3.1(b). It is a filter press type electrochemical cell consists of stainless
steel cathode and RuO2 coated Titanium mesh as anode had an effective
electrode area of 4.9 dm2 (0.7×0.7 dm). Provisions are made for electrical
connections so as to constitute an electrolytic cell and the two terminals were
connected to a power supplier.
Figure 3.1b Experimental setup of the Electrooxidation part
94
3.5 PREPARATION OF SYNTHETIC ELECTROPLATING
RINSE WATER (SEPRW)
All the reagents and chemicals used were of analytical grade. Based
on the practical data obtained from different electroplating industries, the
synthetic rinse water of Cu(II), Ni(II) and Zn(II) ions of appropriate
concentration (M2+
=200 mg L1) were prepared by diluting the electrolytic
plating baths (a, b and c) of the following composition: (a) 200 g L1 of
CuSO4, 75 g L1 of H2SO4 ; (b) 200 g L
1 of NiSO4, 40 g L
1 of NiCl2, 40 g
L1 of Boric acid; (c) 240 g L
1 of ZnSO4, 30 g L
1 of sodium acetate, 30 g
L1 of Al2SO4. All the solutions were prepared with double distilled water.
3.6 COLLECTION OF INDUSTRIAL ELECTROPLATING
RINSE WATER
Industrial electroplating rinse water (IEPRW) sample prior to any
wastewater treatment was collected from a small scale electroplating industry
located at Balaji Nagar, Padi, Chennai. This unit is a metal finishing industry
doing copper, nickel and zinc electroplating for the base metallic material.
Typically during processing, this industry produces effluent around 5,200 L
per day containing heavy metals and some organic constituents. Samples of
IEPRW were collected directly from the first rinse tank of the electro plating
unit prior to any treatment.
3.7 CHARACTERIZATION OF IEPRW
The IEPRW samples were diluted and analyzed for different waste
water parameters. The metal ions presence was analyzed in Varian spectraa
220 Atomic adsorption spectrophotometer (AAS). Chemical oxygen demand
(COD) was analyzed by reflux condensation method in Lovibond ET 125
95
COD digester. The presence of sulphate was analyzed by Spectrophotometery
in Elico Ltd, SL 160 spectrophotometer.
3.8 MODIFICATION OF CERALITE IR 120 RESIN
Five grams of resin was immersed in 0.02 L of 0.05M (2/5water,
3/5 alcohol) PEI solution and agitated constantly using a glass agitator
connected with an electric driving force for 7 days at constant room
temperature 32°C (Bahulekar et al 1991).
The hydrophobic property of the resin increased after introducing
these amorphous branched structure with a distribution of primary, secondary,
and tertiary amino groups in the ratio 1:2:1 (Amara and Kerdjoudj 2004),
adsorbed and/or ion exchanged with H+ counter-ion on the surface (Deng and
Ting 2005). The structure of PEI is shown in Figure 3.2.
Figure 3.2 Structure of PEI
96
Figure 3.3 Reactions behind in the modification of UMR using PEI
nano cluster
The resin thus obtained had the following principal characteristics:
PMR has a preferential selectivity towards heavy metals and particularly for
the Cu(II) ion. However, the PEI molecules would desorb from the resin
surface during sorption and regeneration processes. To fix the PEI onto the
surface, the modified ion exchange resin was soaked in 1% glutaraldehyde in
isoproponal as the cross linking agent for 20min (Ghoul et al 2003). PMR was
washed with distilled water and soaked in 0.5N NaOH solution for 3h to
change them to Na+ form (Figure 3.3).
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3.9 ANALYTICAL MEASUREMENTS
3.9.1 Analysis of Metal Ions Concentration
Atomic absorption spectrometry (AAS) is a widely used and
accepted technique capable of determining trace (µg mL1) and ultra trace
(sub-µg mL1) levels of elements or metals in a wide variety of samples,
including biological, clinical, environmental, food, and geological samples,
with good accuracy and acceptable precision. It is arguably the predominant
technique in elemental analysis, although it does have some limitations (Settle
1997). Atomic absorption spectrometry uses the absorption of radiation by
free gaseous atoms in order to achieve qualitative detection and quantitative
determination of elements (Welz and Sperling 1998).
There are two main components in an atomic spectrometer: atom
cell which creates atoms at the free gaseous ground state, optical system to
measure the signal. Atom cell dissolvates the liquid sample and dissociates
analyte elements into their free gaseous ground state form in which the atoms
are available to absorb radiation coming from light source and create a
measurable signal which is proportional to concentration (Tyson and Haswell
1991). The atomizer (in which the analyte is atomized) is flame, graphite tube
or quartz tube. In flame atomization fixed aliquot of measurement solution is
converted into an aerosol in nebulizer and transported into the flame which
must has enough energy both vaporize and atomize the sample. Properties of
flame types are presented in Table 3.2 (Welz and Sperling 1998).
98
Table 3.2 Spectroscopic flames for AAS with their properties (Tyson and
Haswell 1991)
Oxidant Fuel Gas
Max. Flame
Temperature
(ºC)
Max. Burning
Velocity
(cm s1)
Remarks
Air Acetylene 2250 158 Most commonly used
flame
Nitrous
Oxide
Acetylene 2700 160 For difficulty volatilized
and atomized substances
Air Hydrogen 2050 310 Flame of high
transparency; for easily
ionized elements
Air Propane/
Butane
1920 82 Flame of ionized
elements
The filtrate solutions obtained in the adsorption process were
analyzed using flame AAS. The instrument used was a VARIAN MODEL
SPECTRAA 220 atomic absorption spectrometer. Element content of aqueous
solutions was determined with hallow cathode lamps. Table 3.3 shows that
specific wavelengths and analysis conditions for used metal ions in our study.
Table 3.3 Specific wavelengths and AAS analysis conditions used for the
metal ions
ElementWavelength
(nm)Flame Type
Hallow-Cathode
Lamp
Copper (Cu2+
) 324.8 Air/acetylene Copper
Nickel (Ni2+
) 232.0 Air/acetylene Nickel
Zinc (Zn2+
) 213.8 Air/acetylene Zinc
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3.9.2 Analysis of Chemical Oxygen Demand (COD)
Chemical oxygen demand (COD) is the measure of oxygen
consumed during the oxidation of the oxidizable organic matter by a strong
oxidizing agent. Chemical oxygen demand (COD) test is commonly used to
indirectly measure the amount of organic compounds in water. The basis for
the COD test is that nearly all organic compounds can be fully oxidized to
carbon dioxide with a strong oxidizing agent under acidic conditions
(Manivasakam 1984).
Lovibond ET 125 model COD digester was used for the digestion
of samples at 120ºC for 2h. The organic matters present in the IEPRW
samples were oxidised by Potassium dichromate (K2Cr2O7) in the presence of
H2SO4 in the digester. After digestion the remaining unreduced K2Cr2O7 is
titrated with standard ferrous ammonium sulphate using Ferroin indicator.
The amount of oxidizable matter (COD) is calculated in terms of oxygen
equivalent.
3.9.3 Analysis of Sulphate ( 2
4SO ) Ions Concentration
The amount of sulphate present in the IEPRW was analyzed by
spectrophotometric method using barium chloride (BaCl2). The analysis for
sulphate was done by taking appropriate (0.005 L) volume of sample in a
volumetric flask, and diluting to 0.1 L using distilled water. From that 0.01 L
of sample was taken in a conical flask and 0.005 L conditional reagents
(conditional reagent was prepared by mixing 0.05 L glycerol with a solution
containing 0.03 L conc. HCl, 0.3 L of distilled water, 0.1 L of 95% ethanol
and 75 g NaCl), and a spoon full BaCl2 crystals (about 0.2-0.3 g) and mixed
well. Sulphate ions present in the IEPRW samples was converted to BaSO4
precipitate hence the solution becomes turbid. Immediately after the stirring
period the solution was poured into quartz cuvette and the absorbance was
100
measured at 420 nm by Elico Ltd, SL 160 spectrophotometer (Manivasakam
1984).
3.9.4 Analysis of Available Hypochlorite (OCl )
The available hypochlorite ions in the samples were analyzed by
iodometric method. The starch iodide titration method is one of the oldest
methods for determining chlorine, is very non specific for oxidants and
generally is used for total chlorine testing at levels above 1 mg L1 Cl2
(Manivasakam 1984). The method is based on reaction with thiosulfate
solution:
2OCl Cl2 + O2
Cl2 + 3KI I3 + 3K+ + 2Cl
I3 + 2Na2S2O3 3I + 4Na+ + S4O6
2
The end point of the titration is indicated by the disappearance of
the blue colored starch iodide complex.
3.9.5 FTIR Analysis
Fourier transform Infrared (IR) spectroscopy measures the
absorption of IR radiation by materials as the atoms vibrate about their bonds.
It is primarily used to identify bond types, structures and functional groups in
organic and inorganic compounds. IR sensitive vibrations are associated with
changes in dipole moments. IR spectroscopy measures vibrational energy
levels in molecules. It can be used for both qualitative and quantitative
analysis, to identify molecules and compounds, and to determine the presence
or absence of certain types of bonds and functional groups.
101
When functional groups can be bonded at different locations on
molecules, IR spectroscopy can frequently identify the positions at which the
functional groups are attached. The reason is that vibrational frequencies
differ when functional groups are attached at different sides in molecules.
When illuminated by IR radiation of the appropriate frequencies, atoms, ions,
and functional groups in molecules will vibrate about their bonds and energy
will be absorbed. Each bending and stretching vibrational mode of a molecule
or functional group will absorb at a particular frequency. When exposed to
appropriate IR frequencies, energy will be absorbed from the incident
radiation as vibrational intensities increase. Many IR frequencies have no
effect at all and will not be absorbed (Dinger 2005).
IR characterization of raw UMR, PMR and metal ion adsorbed
UMR, PMR were performed with PERKLIN–ELMER SPECTRUM RX1
instrument with a frequency range of 4000 - 400 cm1. The resin samples
were prepared in the form of potassium bromide (KBr) pellets.
Approximately 40-60 mg of resin powder and 120 mg of KBr was blended
and powdered with the help of mortar and pestle for 20 min. Approximately
40 mg of the mixture were compacted using an IR hydraulic press at the
pressure of 8 tons for 60 sec. The pellets were conditioned in a desiccator
placed in an oven at 80°C for 8h before analysis. The spectra of resin samples
were obtained with a frequency range of 4000-400 cm1.
3.9.6 SEM Analysis
Scanning Electron Microscope (SEM) is commonly used to study
surfaces, structures, morphologies, and forms of materials. The images
viewed using SEM are created by detecting secondary electrons ejected from
samples as they are bombarded by focused, high energy electron beams. SEM
can achieve higher magnifications than optical microscopes. When samples
are probed with focused electron beams, a variety of signals can be collected
102
and displayed on the view screen. In addition to secondary electron signals,
X-rays characteristic of the elemental composition of the sample can be
mapped to sample images, and back-scattered electrons can also be collected
and displayed. SEM analyses are conducted in vacuum environments (Dinger
2005).
SEM characterization of the raw UMR, PMR and metal ion
adsorbed UMR, PMR were taken using a Hitachi S-3400N Magnification 5X
3,00,000X type instruments in vacuum environment. Prior to analysis the
samples were sprinkled onto carbon tapes which are adhesive and supported
on metallic disks and coated with gold. Images of the sample surfaces were
recorded at different areas and different magnifications.
3.9.7 EDX Analysis
Energy-dispersive X-ray spectroscopy (EDS or EDX or EDAX) is
an analytical technique used for the elemental analysis or chemical
characterization of a sample. It relies on the investigation of an interaction of
some source of X-ray excitation and a sample. Its characterization capabilities
are due in large part to the fundamental principle that each element has a
unique atomic structure allowing X-rays that are characteristic of an element's
atomic structure to be identified uniquely from one another. EDX analysis of
the raw UMR, PMR and metal ion adsorbed UMR, PMR were taken were
carried out in Hitachi S-3400N Magnification 5 X 3,00,000 X.
3.10 BATCH ADSORPTION STUDIES
The adsorption capability of PMR and UMR towards metal ions at
room temperature (35°C) was investigated using SEPRW having metal ion
concentration of 200 mg L1. The extent of metal ion removal was calculated
from the residual concentration of sorbate in equilibrated solution.
103
The effect of pH of the medium on the adsorption process was
studied at the pH values of 2 to 8 with constant dosage. The optimum pH
value obtained from this study was fixed for further experiments. The
minimum contact time, adsorbent dosage required for maximum metal ion
uptake was studied by varying the contact time from 1 min to 60min and
adsorbent dosage from 0.125 to 2.0 g L1. In addition the influence of other
experimental parameters such as presence of chelating agent (EDTA), co-ions
(Ni, Zn) on the adsorption process was also studied.
Metal ion uptake (mg g1) at equilibrium conditions was calculated from
(C - C )Vo eQ =
e m (3.1)
where V is the volume of sample in litre. C0 and Ce are concentration of
metal ion in mg L1 and W is amount of resin in grams.
3.10.1 Regeneration of Resin
An amount of 0.1 g of metal ion saturated resin was immersed in
0.1 L of different acid solutions (0.5M HNO3, 0.5M, HCl and 0.5M H2SO4),
and the systems were agitated for 2.0 h, then filtered. The filtrate was
analyzed for metal ion concentration by AAS and the percentage of elution (E
%) was calculated from the equation:
100eluted%
fixed
nM
nM
E
(3.2)
104
3.11 ADSORPTION COLUMN STUDIES
A glass column of 2.0 dm height and 0.25 dm outer diameter and
0.20 dm inner diameter was fabricated with bottom and top provisions for
inlet and outlet of solution flow. The column was equipped with a bottom
filtration device to prevent the escape of fine resin beads during processing.
The column was then loaded with 40 g of PMR to get 1.65 dm height of
packed bed. The experimental arrangement is shown in Figure 3.4. Peristaltic
pumps were used for the upward flow of process streams at particular
constant flow rate.
3.11.1 Batch Recirculation Column Studies
The initial pH of the SEPRW having 500 mg L1 of Cu(II) ions was
adjusted to the range 4 – 6 and allowed to pass through the column in batch
recirculation mode using peristaltic pump. Experiments were conducted at
different flow rates (0.005, 0.010, 0.015 L min1), different initial Cu(II) ion
concentration of 300, 400 and 500 mg L1 and at different packed PMR bed
heights 0.55, 1.1 and 1.65 dm. Samples were collected at regular time
intervals and were analyzed for Cu(II) ion using AAS.
3.11.2 Column Breakthrough Studies
The experimental arrangement for continuous column studies is
shown in Figure 3.4; it consist a glass column of similar dimension and
capacity of the packing of PMR as like in batch recirculation process. Initial
pH of the feed solution was fixed at optimum value obtained from batch
study. The SEPRW having metal concentration of 500 mg L1 was allowed to
pass through the ion exchange column in continuous pass mode at constant
flow rate of 0.015 L min1 using peristaltic pump. The operation is shown in
Figure 3.4.
105
Figure 3.4 Experimental setup for column studies
3.11.3 Column Regeneration Studies
When ion exchange process was carried out continuously with
initial metal concentration of 500 mg L1 at fixed flow rate it was observed
that the column was exhausted after several hours of treatment process. After
exhaustion the rinse water present in the voids of resin beads were washed out
from the column using double distilled water. Regeneration of the resin
column was studied by taking the copper ion loaded resin column as an
example. Regeneration was done by passing 0.5 L of different molarities (0.5
to 1.25 M) of sulphuric acid as eluant at constant flow rate (0.015 L min1)
through the bed in the upward direction to reservoir under batch recirculation
mode (Figure 3.4). The reservoir volume fixed for this mode of operation
was 0.5 L. The concentration built up of Cu(II) ions in the reservoir was
monitored at different time intervals. The desorbed column was washed with
distilled water several times and reactivated with 0.05 M NaOH. The
regenerated column was reused for second cycle of adsorption-desorption of
Cu(II) keeping the other parameters same as above, for first cycle.
106
Elution Efficiency (E%) = (Amount of metal ions eluted / Amount of metal
ions adsorbed) X 100
3.12 EIX-EO PROCESS
3.12.1 Batch Recirculation Process
A schematic view of the batch recirculation system is shown in
Figure 3.5. The setup consists of a reservoir, a peristaltic pump, an
Electrochemical ion exchange cell (EIX part) and an Electrooxidation cell
(EO part) connected to an electrical circuit consists of 5A, 30V DC regulated
power supply, an ammeter and a voltmeter. Since membranes divide the EIX
cell, it comprise of four parts of experimental solutions anolyte, process
stream, concentrated and catholyte. The solutions taken in the reservoirs and
their concentrations are given in Table.3.4.
Table 3.4 Type of solution for the different compartments of EIX-EO
reactor
ParameterProcess
stream (P)Anolyte (A)
Catholyte
(C)Receiver (R)
Type of
Solution
Electro plating
rinse water
Sodium
chloride
Sulphuric
acid
Distilled water
Concentration 500 mg L1
2 to 8 g L1 0.05 M -
Volume 1 L 1 L 0.5 L 0.2 L
Solutions in the four reservoirs were allowed to flow in batch
recirculation mode as shown in Figure 3.5 through the respective
compartments of the reactor using peristaltic pump at particular flow rate.
Experiments were conducted at various applied current densities specifically
at 0.5, 1.0, 1.5, 2.0, 2.5 Amp dm2, at various flow rates specifically at 0.005,
0.010, 0.015, 0.020 and 0.025 L min1, at various Cu(II), COD concentration
and at various NaCl concentration in the anolyte of EIX.
107
Initially, the Cu(II) ions present in the rinse water gets adsorbed by
the PMR and then migrated to the receiver compartment with the influence of
applied current density. The organic matter present in the rinse water gets
oxidized to oxygen and carbon dioxide at the anode surface of the EO part.
At regular time interval samples were collected, diluted to appropriate
volume and analyzed for Cu(II) in atomic absorption spectrophotometer
(AAS), organic matter present (COD) by refluxed COD digester and sulphate
by spectrophotometer.
Figure 3.5 Experimental setup of EIX-EO reactor and their processes
3.12.2 Continuous Flow EIX Process
An experimental study was carried out to determine the break-even
point of hybrid EIX-EO reactor. It is very much important to study the
operational capacity of the process. This experiment was conducted at
optimum flow rate (0.020 L min1) and at applied current density of 2.0 Amp
108
dm2. Catholyte and anolyte solutions were re-circulated separately; the
process stream (test solution) was continuously passed through the central
compartment of EIX part and the EO part of the reactor. The outlet was
collected in the separate container as shown in the Figure 3.5. Samples were
collected from the outlet at regular time interval and analyzed for Cu(II). The
break point of the ion exchange process alone was studied by conducting the
same experiment without applying external DC current through the reactor.
3.13 THEORITICAL DESCRIPTION
3.13.1 Modeling of Batch Data
3.13.1.1 Ion Exchange - Isotherm Studies
Ion exchange isotherms are expressed in terms of relationship
between the concentration of adsorbate in the liquid and the amount of
adsorbate adsorbed by the unit mass of adsorbent at a constant temperature.
Langmuir (Langmuir 1918), Freundlich (Freundlich 1906), Redlich Peterson
(Redlich and Peterson 1959) and Toth (Toth 1971) isotherm models were
used to describe the equilibrium data.
The general expressions for sorption models are
Model General equation Equation number
Langmuir model Q b Cmax elQ =e 1+ b Cel
(3.3)
Freundlich model 1 / nQ = K C
e l e
(3.4)
Redlich–Peterson K CerQ =e
1+ a Cer
(3.5)
Toth model Q b Cp t e
Q =e 1 / n n
t t[1+ (b C ) ]t e
(3.6)
109
where Qe represents the equilibrium adsorption capacity (mg g1), Ce is the
equilibrium metal concentration (mg L1). b1 is the Langmuir isotherm
constant (L g1), Qmax is the maximum metal sorption (mg g
1), Kl represents
the capacity of adsorption (L g1), n represents the intensity of adsorption, Kr
(L g1), ar (L mg
1) and ß represents the Redlich–Peterson constants, Qp (mg
g1), bt and nt represents the Toth isotherm constants. The model parameters
were estimated using Microsoft EXCEL and MATLAB.
3.13.1.2 Modeling of Batch Ion Exchange - Kinetic Studies
The design of most equipment requires data on the amount of ions
exchanged between solid phase and liquid phase in a given contact time. The
ion exchange kinetic studies describe the solute uptake rate which in turn
governs residence time of an ion exchange reaction. It is one of the important
characteristics for defining the efficiency. The sorption kinetics of a sorbent
depends mainly on the property of the sorbate. Hence, in this part of the
present study, the kinetics for Cu(II) ions removal by PMR has been verified
by pseudo first (Lagergren 1988) and second (Ho and Mckay 2000) order
kinetics to understand the behaviour of the resin.
The pseudo-first order equation
The pseudo-first order reaction equation for solid–liquid sorption
system was proposed by Lagergren in 1898 (Lagergren 1898). This equation
has been traditionally the most conventional model used for liquid sorption
modelling.
Q = Q 1 - exp -k tft e
(3.7)
where kf is the pseudo-first order equation rate constant (min1).
110
The pseudo-second order equation
A second order equation is based on the amount of sorbate which
was sorbed onto the Sorbent proposed by Ho and McKay (2000). The second
order equation can be derived from chemical equations. The expression is
2k Q t
s eQ =t 1+ k Q t
s e
(3.8)
where kS is Pseudo second order rate constant (g mg1 min
1).
3.13.2 Modeling of Column Ion Exchange
The dynamic behaviour of the column can be predicted by various
simple mathematical models. In this study Adams–Bohart and Yoon-Nelson
models were used to predict the performance of the column ion exchange
studies. The effect of flow rate on Cu(II) ions removal in column operation
was investigated.
3.13.2.1 Adams–Bohart model
Bohart and Adams (Aksu and Gonen 2004; Han et al 2008)
established the fundamental equations that described the relationship between
C/C0 and t in a flowing system for the adsorption of chlorine on charcoal. The
model proposed assumes that the adsorption rate is proportional to the
residual capacity of the activated carbon and to the concentration of the
sorbing species. The Adams–Bohart model provides a simple and
comprehensive approach to running and evaluating sorption-column tests and
valid to the range of conditions used. The model expression is given by
111
Z= exp K C t - K N
ab 0 ab 0 U0
C
C0
(3.9)
where Kab is the kinetic constant (L mg1
min1), U0 is the superficial velocity
calculated by dividing the flow rate by the column section area (cm min1)
and Z is the bed depth of column (cm). C0 is the influent concentration (mg
L1); C is the effluent concentration (mg L
1) at time t. Values describing the
characteristic operational parameters of the column can be determined from
the plot of ln C/C0 versus t at a given bed height and flow rate.
3.13.2.2 Yoon-Nelson model
Yoon and Nelson (Yoon and Nelson 1984) developed a model
based on the assumption that the rate of decrease in the probability of
adsorption of adsorbate molecule is proportional to the probability of the
adsorbate adsorption and the adsorbate breakthrough on the adsorbent. The
linearized Yoon-Nelson model for a single component system is expressed as:
expC
C0
k t kYN YNC
(3.10)
where kYN (min1) is the rate velocity constant, (min) is the time required for
50% adsorbate breakthrough. From a linear plot of ln[C/ (C0-C)] against
sampling time (t), values of kYN and were determined from the intercept and
slope of the plot ln (C/C0-C) versus t.
3.13.2.3 BDST model
The BDST model is based on physically measuring the capacity of
the bed at different breakthrough values. The BDST model works well and
provides useful modelling equations for the changes of system parameters
112
(Ko et al 2000). BDST column model is the simplest model which gives the
useful information about the relationship between bed height (Z) and service
time (t) of a column.
A modified form of the equation is given below (Goel et al 2005):
10 0ln 1
0 0
N Z Ct
C K C Ca b
(3.11)
where Cb is the breakthrough metal ion concentration (mg L1); N0 the
sorption capacity of bed per unit volume; the linear velocity (cm h1) and Ka
the rate constant (mg1
h1).
where 0ln 1
0
CZ
k N Ca b
(3.12)
A simplified form of the BDST model is: t = aZ + (- b)
where,
0
0
Na
C F
1 0ln 1
0
Cb
K C Ca t
3.14 ERROR ANALYSIS
The least sum of the squares (SS), of the differences between the
three experimental data obtained from the experiments (by calculation), could
be computed. If all three data from the experiments are similar, SS will be a
113
small number; if they are different, SS will be a large number. In order to
point out the actual data, the average between three values is used in the
graphs and their deviation is given in the form of standard error (Equation
3.13).
standard deviation of three experimental data/
Standard error (SE) =
Square root of total number of experiments
SE = STDEV(range of values)/SQRT (number) (3.13)
3.15 REACTION MECHANISMS IN EIX-EO REACTOR
3.15.1 Reaction Mechanisms in EIX Part
The IEPRW containing copper and sulphate in the reactor initially
gets ionized and the anions specifically sulphate, cations Cu(II) due to their
affinity move towards anode, cathode respectively. Cationic membrane
hinders the movement of sulphate ions into the anode compartment. Whereas
the Cu(II) ions can enter the receiver compartment and cannot enter into the
cathode compartment so as to avoid the precipitation of Cu(II) ions as
hydroxide.
Rinse water contains copper sulphate initially gets ionized with the
passage of current according to the Equation (3.14).
CuSO4 Cu2+
+ SO42
(3.14)
The PMR adsorbs this cation. The cations i.e.) Cu(II), due to their affinity
towards cathode, passes through membrane and gets concentrated in the
receiver compartment.
114
Anode Compartment
The general anode reaction for pH<7 takes place at the vicinity of
anode is given in Equation (3.15) which results the liberation of oxygen (O2).
e4H4OOH2 22 (3.15)
The general reactions at the bulk of the anode compartment are
given in Equations (3.16) – (3.18).
NaOClClNaOHNaCl 22 (3.16)
OClNaNaOCl (3.17)
eClOOCl 22 22 (3.18)
Cathode Compartment
The general reaction takes place in the cathode is by the following
Equation (3.19)
24242 22 SOHeSOH (3.19)
3.15.2 Reaction Mechanism in EO Part
In the EO part of the reactor the high molecular weight aromatic
compounds and aliphatic chains are broken to intermediate products for
further processing. In electrochemical combustion the organics are completely
oxidized to CO2 and H2O. The oxidation of organics takes place always with
simultaneous oxygen evolution. In our group a mechanism has been proposed
for the electrochemical oxidation of organics at different electrode material
with simultaneous oxygen evolution. The mechanism of electrochemical
oxidation of wastewater is a complex phenomenon involving coupling of
electron transfer reaction with a dissociate chemisorptions step. Basically two
115
different processes occur at the anode; on anode having high electro -
catalytic activity, oxidation occurs at the electrode surface (direct
electrolysis); on metal oxide electrode, oxidation occurs via surface mediator
on the anodic surface, where they are generated continuously (indirect
electrolysis).
In direct electrolysis, the rate of oxidation is depending on
electrode activity, pollutants diffusion rate and current density. A generalized
scheme of the electrochemical conversion/combustion of organics on noble
oxide coated catalytic anode (MOx) (Panizza and Cerisola 2004).
In the first step, H2O is discharged at the anode to produce adsorbed
hydroxyl radicals according to the reaction
eHOHMOOHMOxx
)(2 (3.20)
In the second step, generally the adsorbed hydroxyl radicals may
interact with the oxygen already present in the oxide anode with possible
transition of oxygen from the adsorbed hydroxyl radical according to the
Equation (3.21) and forming the higher oxide MOx+1.
eHMOOHMOxx 1)(
(3.21)
At the anode surface the active oxygen can be present in two states.
Either as physisorbed (adsorbed hydroxyl radicals (•OH) or/and as
chemisorbed (oxygen in the lattice, MOx+1). In the absence of oxidisable
organics, the active oxygen produces dioxygen according to the following
Equations (3.22) and (3.23).
eHOMOOHMOxx 22
1)( (3.22)
221
1 OMOMOxx (3.23)
116
At cathode
As the concentration of sulphate is much higher, the sulphate
present in the effluent predominantly gets reduced to HS at the cathode. This
reaction is represented as
OHHSeHSO 2
2
4 489 (3.24)
Some of the Cu(II) ions escaped from the EIX part get reduced at
the cathode of EO part to metallic copper by the following reaction
02 2 CueCu (3.25)
222 HeH (3.26)
At the Bulk
The HS- anions formed at cathode surface rejected by the cathode
and come into the bulk. In the bulk electrolysis of HS ions takes place by the
following reaction
2SHHS (3.27)
At Anode
The S2-
anion thus formed attracted by the anode where it gets
oxidized to sulphur by losing two electrons to the cathode by the following
reaction.
eSS 202
(3.28)
117
3.15.3 Modeling for Removal of Copper in EIX Reactor
In electrochemical treatment of IEPRW containing copper together
with COD, several possible reactions can occur at the electrodes; however the
scope of this paper is limited to discussions with respect to copper and
COD removal only. The mode of operation of EIX/EO system is depicted in
Figure 3.5 involves the recirculation of the IEPRW. There is a gradual
depletion of the concentration of the Cu(II) ions, COD and 2
4SO in the
reservoir.
In order to design the plant for treatment processes, the
development of the model is essential which permits the computation of
variation in concentration of the Cu(II), COD with time in the reservoir. The
basic assumptions involved in the ensuing derivation may be outlined as
follows: Back-mix flow exists in the process compartment reservoir, the
anodic compartment, and the cathodic compartment in the present reactor
system; that was arrived at based on a tracer experiment. Hence the
concentration of reactive species is the same throughout the compartment and
equal to the exit concentration.
An approximate model which represents the given EIX is
developed based on a continuous stirred tank flow reactor in which the
reactions and physical phenomena take place. A dynamic material balance to
each of component or species of every compartment can be written as,
[Rate of change mass in the system] = [rate of mass input] - [rate of mass
output] – [rate of mass disappeared
or generated due to physicochemical
phenomena] (3.29)
118
All the reservoirs are perfectly back-mix systems. The
concentration variation of Cu(II) ion in the process stream (central
compartment) of EIX is written as
kdC po = QC - QC - 6(1- ) C + IA CR M oR odt d
po
(3.30)
The left-hand side (LHS) represents the rate of change of mass of Cu(II) in
the pore volume of the central compartment. The first two terms of the right-
hand side (RHS) are the rate of mass of Cu(II) ion entering and leaving the
central compartment. The driving force is the concentration difference
through the diffusion film, and the expression should be [6(1 - )/dp]VRkp(Co -
Co*). Assuming phase equilibrium, the concentration in the solution near the
interface, Co*, is zero, which leads to [6(1 - )/dp]VRkpCo. The next dominant
transport process is ionic migration, which accounts for the transfer of nickel
ion through liquid toward the interface of membrane that passes through the
cation exchange membrane to the liquid bulk in the cathode compartment.
The reservoir (rinse water tank) is always a perfectly back-mix system.
Hence the mass balance equation for the rinse water reservoir tank is,
dCV = QC - QC
rw 0dt (3.31)
Under steady-state conditions as dCo/dt= 0, and Equation (3.30) is rewritten
as,
C0 1=
C 6(1 - )k
IAR pdp M1+ +Q Q
(3.32)
119
Assume,6 1 -
a =dp
,A
ma =m
R
,I A
mk =m Q
, RR
Q
C0 1=
C1+ k a + k a
p m m R
(3.33)
where a is the specific surface area [6(1 - )/dp] of the ion exchange resin, am
is the specific area (Am R) of the ion exchange membrane, km is the
migration mass transfer coefficient, and ôR is the residence time of Cu(II) ion
R/Q) in the middle compartment. The mass balance Equation (3.31) is
solved after substitution of the expression for C0 from Equation (3.32),
knowing the initial concentration of Cu(II) ion, C = C0 at t = 0 in the
reservoir. Then the following resultant equation gives the variation of
concentration of Cu(II) in the effluent reservoir. Where C0 is the initial
concentration of Cu(II) and ô is the residence time of Cu(II) ion (Vrw/Q) in the
effluent reservoir, respectively. In accordance with Equation (3.33), the slope
of the plot of ln(C/C0) versus t or ln (1 - X) versus t is (1/ô) {[(kpa + kmam)
ôR]/ [1 + (kpa + kmam) ôR]}, from which the value of (kpa + kmam), the total
transfer coefficient is computed.
3.15.3.1 Model for Build up of Cu(II) Ion in receiver Reservoir during
Continuous Operation of Middle Compartment
Since there is no accumulation of the Cu(II) ion in the liquid phase
of the middle compartment of the EIX reactor, it can also be assumed that the
reactor is under steady-state conditions as
120
(dCo/dt ) = 0 and Equation (3.32) is rewritten as
Co 1=
C1+ ak + k a
p R m m R
(3.34)
Co 1=
C1+ ak + k a
p m m R
(3.35)
CC =o
1+ ak + k ap m m R
(3.36)
The mass balance Equation (3.30) is solved after substitution of the
expression for Co from Equation (3.36), knowing the initial concentration of
Cu(II) ion, C=Co at t=0 in the reservoir. Then the following resultant equation
gives the variation of concentration of Cu(II) in the effluent reservoir.
dCC - C Q = V
o rw dt (3.37)
dCCQ - C = Vrw dt
1+ ak + k ap m m R
(3.38)
dC Q= dt
Vrw
1C - 1
1+ k a + k ap m m R
(3.39)
121
C t 1= exp - - 1+ k a + k a
p m m RC1+ k a + k ao
p m m R
(3.40)
k a + k ap m m RC t
= exp -C
1+ k a + k aop m m R
(3.41)
In accordance with Equation (3.35), the slope of the plot of ln(C/Co) versus t
is (1/ ) {[(kpa + kmam) R ]/ [1 + (kpa + kmam) R ]}, from which the value of
(kpa + kmam), the total transfer coefficient is computed.