kinetics and equilibrium studies of removal of methylene blue by

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ADSORPTIVE REMOVAL OF METHYLENE BLUE DYE BY
MELON HUSK: KINETIC AND ISOTHERMAL STUDIES
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Olajire, A. A1*; Giwa, A. A1 and Bello, I.A2
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Industrial and Environmental Chemistry Unit,
Department of Pure and Applied Chemistry,
Ladoke Akintola University of Technology,
Ogbomoso – Nigeria
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Physical Chemistry Unit
Department of Pure and Applied Chemistry,
Ladoke Akintola University of Technology,
Ogbomoso – Nigeria
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ABSTRACT
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The adsorption capacity of Methylene blue (MB) dye from aqueous solution onto raw
melon husk (RMH) was investigated under various experimental conditions. Batch
studies were performed to evaluate the effect of various experimental parameters such as
contact time, initial concentration of MB dye and dosage of RMH on the efficiency of the
sorption process. Optimum conditions for MB dye removal were found to be at an
adsorbent dosage of 8.0 g/L of solution for an equilibrium time of 120 min. Equilibrium
isotherms for the adsorption of MB dye on RMH were analyzed by Freundlich, Langmuir
and Temkin isotherm models and the goodness of fittings were inspected using linear
regression analysis (R2) and sum-of- square-error (SSE). The equilibrium data were well
described by Langmuir and Temkin equation at all range of operating parameters.
Lagergren, Elovich and Morris – Weber equations were employed to study kinetics of
sorption process. The sorption process was very rapid at the initial stage as 80% of the
dye was removed within the first 5 mins. The kinetics of the adsorption followed pseudo
– second order model with R2 values ranging from 0.999 to 1 for all initial dye
concentrations studied.
Keywords : Melon husk, isotherm, kinetics, methylene blue dye, adsorption.
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*Author for all Correspondences, E-mail<olajireaa@yahoo.com>
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Tel: +2348033824264
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1. INTRODUCTION
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There are several methods which can be used to treat dye wastewater. These include
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biological, chemical and physical1. All these methods were found inefficient and
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incompetent because of the stability of the dye towards light, oxidizing agents and
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aerobic degradation. Among these methods, adsorption is widely used for its maturity and
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simplicity. Of different adsorbent materials, activated carbon is the most popular for the
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removal of pollutants from wastewater. However, its widespread use is restricted due to
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high cost2. As such, numerous alternative materials have been investigated to adsorb dyes
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from aqueous solution, using Methylene Blue as the model basic dye, such as guava leaf
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powder3, dehydrated wheat bran carbon4, diatomaceous silica5, wheat shell6, NaOH-
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treated pure kaolin7, bamboo charcoal8, silver fir (Abies amabilis) sawdust9 and activated
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carbon from sugar beet molasses10.
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Basic dyes are the brightest class of water soluble dyes used by the textile
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industries, and Methylene blue is one of the most frequently used dyes in all industries11.
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It dissociates into cation and chloride ion in aqueous solution12. Presence of this dye in
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water leads to various health effects like eye burns, and irritation to the gastrointestinal
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tract
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methamoglobinemia, cyanosis and dyspnea, if inhaled directly. It may also cause
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irritations to the skin7,13.
with
symptoms
of
nausea,
vomiting
and
diarrhea.
It
may lead
to
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Two important physicochemical aspects for the evaluation of adsorption processes
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as a unit operation are the adsorption equilibria and the adsorption kinetics. Equilibrium
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relationships between adsorbent and adsorbate are described by adsorption isotherms,
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usually the ratio between the quantity adsorbed and that remaining in the solution at a
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fixed temperature at equilibrium. In the study of adsorption isotherm, linear regression is
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frequently used to determine the best-fitting isotherm. The linear least-squares method
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with linearly transformed isotherms has also been widely applied to confirm experimental
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data, and isotherms using coefficients of determination. However, such transformations
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of non-linear isotherms to linear forms implicitly alter their error structure, and may also
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violate the error variance and normality assumptions of standard least squares14,15. It has
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been reported that bias results from deriving isotherm parameters from linear forms of
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isotherms, for example, Freundlich parameters producing isotherms which tend to fit
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experimental data better at low concentrations and Langmuir isotherms tending to fit the
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data better at higher concentrations16. Moreover, it has been also presented that using the
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linear regression method for comparing the best-fitting isotherms is not appropriate17.
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The advantage of using the non-linear method is that there is no problem with
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transformations of non-linear isotherms to linear forms, and also they had the same error
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structures when the best-fitting isotherms are compared18.
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In this study, melon husk, an agricultural waste material, was used as the adsorbent
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for its zero-cost and convenient acquisition in local markets. A non-linear method of
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three widely used isotherms, the Langmuir, Freundlich and Temkin, were compared in an
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experiment examining Methylene Blue adsorption onto melon husk. The data have also
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been explained on the basis of kinetic models.
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2. MATERIALS AND METHODS
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2.1 Preparation of adsorbent
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The melon husk used in this work was obtained from Aaradaa Market, a popular
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farm produce market in Ogbomoso, Southwestern Nigeria. Debris and other relatively big
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foreign materials were hand-picked from the husk, after which it was thoroughly washed
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with distilled water, to remove soil and dust, drained and sun-dried. The dried material
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was then ground, sieved into different particle sizes, and stored in air-tight containers as
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raw melon husk (RMH) adsorbent.
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2.2 Adsorbate
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Methylene blue (Color index (C.I), 52015; λmax., 664 nm; molecular weight,
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355.90), a cationic dye, used in this study was obtained in commercial purity (M & B
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Laboratory Chemicals), and was used without any further purification.
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N
H3C
N
CH3
N
S
+
CH3
Methylene blue; C.I, 52015
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CH3 Cl
Mol. weight, 355.90
4
.3 H O
2
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A stock solution of the dye was prepared by dissolving an accurately weighed
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quantity of the dye (1.000 g) in deionized distilled water (ddH2O) to make a 1000 mg/L
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solution. The experimental solutions of desired concentrations were prepared by
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accurately diluting the stock solution with ddH2O.
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2.3 Batch studies
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For each study, a 25 mL of MB dye solution (of varying concentrations, ranging
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from 5 to 500 mg/L) was prepared in a 250 mL leak-proof reaction bottles and a varying
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amount of adsorbent, ranging from 0.025 to 0.75 g, was added to each bottle. The bottles
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were tightly fixed in a horizontal shaker (SM 101 by Surgafriend Medicals) and the
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shaking proceeded for 2 hrs to establish equilibrium, after which the mixture was left to
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settle for ten minutes, and then filtered.
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The absorbance of the filtrate was determined with UV–Visible Spectrophotometer
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(Genesys 10 UV-VIS Scanning Spectrophotometer) adjusted at λmax (664 nm) of MB dye.
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By referring to the calibration curve of the dye, the corresponding concentration of the
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dye in the equilibrium solution was obtained. The percentage removal of MB dye and
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equilibrium adsorption uptake, qe (mg/g) was calculated using the following
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relationships:
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% Sorption 
qe 
100 (Co  Ct )
Co
(Co  Ce )V
m
(1)
(2)
where q e is the amount of MB dye adsorbed (mg/g) at equilibrium; Co and Ct are the
initial concentration (at t = 0) and its concentration at time t = t (mg/L); m is the mass of
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RMH (g); V is the volume of MB dye (L).
2.4 Error functions
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The most common way to validate the isotherms is by inspecting the goodness of
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fit using linear regression coefficients, R2. The R2 in the range of 0.9 to 1 indicates that
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the isotherms have a satisfying agreement to the particular adsorption system in which the
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value close to 1 is highly desirable. However, an occurrence of the inherent bias resulting
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from the linearization might affect the final judgment. Therefore, an additional non-linear
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regression error function has been considered to further validate the applicability of the
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tested isotherms.
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The sum-of-square-error (SSE) provides a better fit at the higher concentration
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data as the magnitude of errors and the square of the errors increase with an increment in
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concentration19. The mathematical formula of SSE used in this study is given by the
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following equation20, 21.
SSE 
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 (qe, exp .  qe, cal. ) 2 / N
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where
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qe cal is the amount of sorbate adsorbed at equilibrium calculated from the model (mg g-1),
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qe,exp is the equilibrium value obtained from experiment (mg g-1) and N is the number of
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data points.
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3. RESULTS AND DISCUSSION
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The adsorbent prepared from raw melon husk (RMH) was studied for dye
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adsorption and the results, thus obtained, were analyzed for the sorption efficiency of dye
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from aqueous solution, under different experimental conditions. The results of the studies
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are explained in the following sections.
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3.1 Effect of sorbent dosage
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The effect of sorbent dosage on MB dye-sorption by RMH was studied (Fig.1) by
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varying adsorbent dosage from 0.025 g to 0.750 g in 25 mL of 50 mg/L solution of the
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MB dye while keeping other parameters (contact time, agitation speed, particle size,
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temperature) constant.
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As evident from Figure1, the adsorption capacity (qe) decreases with increasing
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adsorbent dosage. However, percent sorption increases very rapidly from 90.19 to
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99.66% as the dosage of RMH was increased from 0.025 g to 0.200 g and stays almost
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constant up to 0.750 g of sorbent dosage. An increase in the sorption with the sorbent
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dosage can be attributed to greater surface area and the availability of more adsorption
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sites22, 23. At higher dosage, however, the incremental dye sorption becomes low, as the
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surface dye concentration and MB dye solution come to equilibrium with each other.
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3.2 Effect of the initial concentration of MB dye
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shown in Figure 2. Adsorption capacity (qe) increases with increasing initial
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concentration of MB dye. The increase in the initial concentration of the dye enhances the
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interaction between the MB dye molecules and the surface of the adsorbent24. For
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instance, an increase in the initial concentration of the MB dye from 5 mg/L to 500 mg/L
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led to an increase in adsorption capacity (qe) from 1.249 to 47.38 mg/g. There was,
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however, a corresponding decrease in percent sorption from 99.89 % to 37.91 %. Similar
The effect of the initial concentration of MB dye on the adsorption by RMH is
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observation had also been reported by others22, 25, where decrease in percent sorption with
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increasing initial concentration of sorbate resulted in increased adsorption capacity.
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The relatively higher percentage sorption observed at low initial concentrations of
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dye may be due to the high ratio of sorptive surface to the dye concentration, which
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implied that a fewer number of dye molecules were competing for the available binding
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sites on the adsorbent26. With increasing MB dye initial concentration however, the
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sorptive surface to dye concentration decreases leading to reduced percent sorption27.
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3.3 Effect of contact time
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Our adsorption results reveal fast uptake of adsorbate species at the initial stages
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of contact period. In fact, in all the initial concentrations of MB dye used, over 80%
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sorption was achieved within the first 5 min. As contact time increases, the adsorption of
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MB dye in the solution increases rapidly at the beginning with a gradual slow down until
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it remained at about 120 minutes, which was then taken as the equilibrium time. A plot of
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percent sorption against time (t) depicts a typical contact time for the sorption of MB dye
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by RMH (Fig. 3). The initial rapid phase, which indicates a very spontaneous sorption
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process, may be due to the large number of vacant sites available at the initial period of
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the sorption28. The increase in quantity adsorbed continued slowly until a quasi-static
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point is reached at about 120 min.
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3.4 Adsorption isotherm models
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and the adsorbate adsorbed on the surface of the adsorbent at equilibrium at constant
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temperature. The equilibrium adsorption isotherm is very important to design the
An adsorption isotherm is the relationship between the adsorbate in the liquid phase
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adsorption systems. For solid-liquid systems, several isotherms are available. The
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Langmuir isotherm takes an assumption that the adsorption occurs at specific
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homogeneous sites within the adsorbent and the equation takes the form29, 30:
qe 
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q m k a Ce
1  k a Ce
(3)
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where qe is the amount of dye adsorbed per unit mass at equilibrium (mg/g); qm is the
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maximum possible amount of dye that can be adsorbed per unit mass of adsorbent
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(mg/g); Ce is concentration of sorbate in the solution at equilibrium (mg/L); ka is the
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sorption equilibrium constant. The linearised form of equation (3) is
Ce
C
1

 e
qe k a q m q m
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A plot of
(4)
Ce
1
versus Ce gives a straight line (Fig. 4), with a slope of
and
qm
qe
1
. The effect of isotherm shape can also be used to predict whether an
k a qm
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intercept
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adsorption system is “favorable” or “unfavorable.” According to Hall et al.31, the
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essential features of the Langmuir isotherm can be expressed in terms of a dimensionless
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constant separation factor or equilibrium parameter KR, which is defined by the following
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relationship:
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KR 
1
1  K a Co
(5)
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where KR is dimensionless separation factor; Ka is Langmuir constant ( L/mg); Co is the
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initial concentration of sorbate (mg/L). The separation factor, KR, indicates the nature of
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the adsorption process as given in Table 1. The Langmuir isotherm model was chosen for
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the estimation of maximum adsorption capacity corresponding to complete monolayer
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coverage on the RMH. The Langmuir data are given in Table 2. The sorption capacity,
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qm, which is a measure of the maximum sorption capacity corresponding to complete
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monolayer coverage showed that RMH adsorbent seemed to have a high monolayer
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adsorption capacity. The adsorption coefficient, Ka, related to the apparent energy
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(surface energy) of sorption was found to be 0.991 L/mg. The high magnitude of qm
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(47.39 mg/g) indicates that the amount of MB dye per unit weight of sorbent (to form a
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complete monolayer on the surface) seems to be high. A moderate Ka-value implies
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moderate surface energy in MB dye-RMH system, thus indicating a probable moderate
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binding between MB dye and sorbent32. The values of KR for initial dye concentrations
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from 5 to 500 mg/dm3 were found to range from 0.00209 to 0.01680. The KR values
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indicate that adsorption is more favourable for the Methylene blue/RMH system as they
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fall between 0 and 1 (Table 1). The Langmuir model shows a strong conformation to
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experimental data based on satisfactorily values of the obtained linear regression
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coefficient, R2 and non-linear error analysis (Table 2).
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The Freundlich isotherm is an empirical equation employed to describe the
heterogeneous system33. The equation is given below:
qe  K f Ce
1/ n
(6)
The linear form of the equation is:
log q e  log K f 
1
log C e
n
(7 )
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where qe is the amount of MB dye adsorbed per unit mass of adsorbent (mg/g); Kf (L/g)
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and n are Freundlich constants which are measures of adsorption capacity and intensity
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of adsorption respectively34, Ce is the equilibrium concentration in mg/L.
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From the straight line, obtained by plotting log qe against log Ce (Fig. 5), the
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corresponding slope and intercept can be determined from 1/n and log Kf values. The
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Freundlich data are given in Table 2, with regression factor, R2, of 0.8732 and sum of
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error square (SSE) of 11.28. The values of Freundlich parameters n and Kf are 3.211 (i.e.
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1/n = 0.311) and 12.578 respectively. From the Freundlich equation, the high value of Kf
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of RMH (12.578) indicates high uptake of MB dye from aqueous solution32. Furthermore,
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it was observed that the n-value satisfy the condition(s) of heterogeneity35, i.e 1 < n < 10
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as well as 0 < 1/n < 1. The value of 1/n less than 1 describes a favorable nature of
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methylene blue adsorption onto RMH, however, the model is not able to describe the
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experimental data properly because of the poor linear correlation and high SSE values
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(Table 2).
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The Temkin isotherm was studied to explore the energy distribution pattern of the
RMH adsorbent. The linear form of the Temkin isotherm model can be expressed as;
q  a  b In Ce
(8)
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where “q” is the amount of adsorbate adsorbed per unit weight of adsorbent, “a” is a
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constant related to adsorption potential of the adsorbent and “b” is a constant related to
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adsorption intensity. Temkin isotherm contains factors that explicitly take into account
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the interactions between adsorbing species and the adsorbate.
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The Temkin isotherm parameters generated from the Temkin isotherm plot (Fig. 6)
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are given Table 2. Its correlation coefficient, R2 of 0.983 is also high, which is an
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indication that the more energetic adsorption sites are occupied first by molecules of MB
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dye, and that the adsorption process is likely to be chemisorption [36]. The Temkin
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model shows a strong conformation to experimental data based on satisfactorily values of
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the obtained linear regression coefficient, R2 and non-linear error analysis (Table 2).
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3.5 Kinetic study
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The modeling of the kinetics of adsorption of MB dye by RMH was investigated
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by four common models, namely the Largergren pseudo-first order37, Ho’s pseudo-
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second order17, 38, 39, Elovich model40 and Morris – Weber41 equations.
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The pseudo-first order model was described by Largergren as;
log (qe  qt )  log qe 
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k1t
2.303
(9)
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The qe (mg g–1) is the amount of dye adsorbed at equilibrium, qt (mg g–1) is the amount
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of dye adsorbed at time t and k1 is the pseudo first-order rate constant. A plot of log (qe
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– qt) versus agitation time gives a straight line (Fig. 7), with coefficient of correlation, R2,
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for the five different initial concentrations of MB dye investigated ranging from 0.8 –
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0.9816. The values of pseudo-first order rate constant, k1, computed from the slope of the
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linear plot, ranged from 1.41 x 10–2 – 4.08 x 10–2 min-1 (Table 3). The experimental qe
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values did not agree with the calculated values based on the high values of its SSE. This
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therefore shows that the adsorption of MB dye onto RMH does not follow a pseudo- first
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order kinetics.
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The pseudo-second order model42 is expressed as
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t
1 t
 
qt h q e
(10)
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h  k 2 qe
(11)
2
12
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where qe is the amount of the solute adsorbed at equilibrium per unit mass of adsorbent
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(mg g–1) , qt is the amount of solute adsorbed (mg g–1) at any given time t (min) and k2 is
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the rate constant for pseudo-second-order adsorption (g mg–1 mm–1) and h, known as the
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initial sorption rate.
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If the sorption follows pseudo-second order, h, is described as the initial rate
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constant as t approaches zero. From the plot (Fig. 8), values of k2, R2 and qe were
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calculated (Table 3). The correlation coefficients obtained for the pseudo-second-order
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kinetic model are very high; and are close or equal to unity (0.999 – 1) for the initial MB
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dye concentrations studied. There is also a very good agreement between the
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experimentally obtained and calculated values of qe based on the low values of its SSE
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(Table 3). This shows that the mechanism of the adsorption of MB dye by RMH can best
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be described by the pseudo-second-order kinetic model, based on the assumption that the
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rate limiting step may be chemisorption involving valence forces through sharing or
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exchange of electrons between the hydrophilic edge sites of the RMH and MB dye ions
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38, 43
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increase in sorption capacity from 1.23 to 24.51 mg/g; which is also in agreement with
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observations of others44, 45.
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. Increasing the initial concentration of MB dye from 5 to 100 mg/L causes an
The Elovich model is expressed as46, 47;
qt 
1

In ( ) 
1

In t
(12)
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where  is the initial adsorption rate (mg g 1 min 1 ),  is the desorption cons tan t
( g mg 1 ) and qt is the amount of solute adsorbed (mg g 1 ) at any given time, t (min .)
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A plot of qt versus In t gives a straight line with intercept
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(Fig. 9).
1
In ( ) and slope,  

 
1
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Table 3 shows the kinetic data of Elovich model for the adsorption of MB dye on
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RMH. The initial adsorption rate, α; desorption constant, β; and the correlation
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coefficients, calculated from the plot for the different initial concentrations of MB dye are
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given in Table 3. The correlation coefficients obtained from the Elovich kinetic model are
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also high; ranging from 0.8714 to 0.9591. Thus, Elovich equation could also be a good
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model for the adsorption process48.
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The relationship between the initial concentrations of MB dye, Co, and the Elovich
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initial adsorption rate, α, was also investigated. As shown in the table (Table 3), the
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values of α increase with increasing Co, until a maximum is reached, after which a further
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increase in Co resulted in a decrease in α. For instance, α rose from 4.5 x 1066 to 3.6 x
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10111 mg g– 1 min– 1 with an increase in Co from 5 mg/L to 25 mg/L (Table 3). Further
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increase in Co from 25 mg/L through 50 mg/L to 100 mg/L recorded a drastic fall in α
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from 3.6 x 10111 to 1.6 x 109 mg g–
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observed between Co and the Elovich model desorption constant, β. For instance, an
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increase in Co from 5 mg/L to 25 mg/L led to a decrease in β from 133.333 to 42.918 g
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mg–1 (Table 3).
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331
1
min–1. However, an inverse relationship was
The kinetics of sorption of MB dye was also investigated using Morris-Weber
equation41 in the following form:
qt  K id t
(13)
14
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where qt is the sorbed concentration at time “t”, and “Kid” is the rate constant of
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intraparticle transport. According to Morris and Weber41, a plot of sorption capacity at a
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given time, qt, versus √t should be a straight line if intraparticle diffusion is involved; and
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if it is the only rate-determining factor, the line passes through the origin. However, if the
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plot has an intercept (i.e. does not pass through the origin), it shows that intra-particle
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diffusion may not be the only factor limiting the rate of the sorption process49. A
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modified form of Morris-Weber equation that takes care of boundary layer resistance was
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therefore proposed as48, 50, 51:
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qt  K id t  X i
(14)
where Xi depicts the boundary layer thickness [51].
1
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The qt was plotted against, t 2 for the sorption of MB on RMH for different initial
344
dye concentrations (Fig. 10). The correlation coefficients obtained from the plots were
345
not high (0.6612 – 0.9689) and the straight lines do not pass through the origin (the
346
intercepts > 0). The deviation of these lines from the origin indicates that intra-particle
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diffusion may be a factor in the sorption process, but not the only controlling step52. The
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values of Kid computed from the slopes of the plot ranged from 0.003 – 0.3398 mg g-1
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min-1/2. The larger the intercept, the greater is the contribution of the surface sorption
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(boundary layer resistance) in the rate–limiting step53. Both Kid and Xi have direct
351
relationship with the initial concentration of MB dye (Table 3). Evidently from our
352
results, the higher the initial concentration, the greater is the effect of boundary layer and
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its contribution on the rate determining step.
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3.6 Error Analysis
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Ho15 reported that it is better to use the non-linear analysis method for analyzing
357
the experimental data instead of linear regression analysis alone to compare the best-
358
fitting isotherms. When using the non-linear method, there was no problem with
359
transformations of non-linear isotherms to linear forms. In this study, a non-linear
360
analysis was used to compare the best-fitting isotherms using sum-of-error square.
361
Analysis of nonlinear error function (SSE test), revealed that both Langmuir and
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Temkin models are applicable since the resulting errors were very small (Table 2). These
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findings are very important to indicate that RMH might have homogenous and
364
heterogeneous surface energy distributions. However, the Freundlich model is not able to
365
describe the experimental data properly because of the poor linear correlation and high
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SSE values (Table 2). The SSE value more than 5% is not recommended due to
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intolerant margin of deviation between the experimental data and the model calculated
368
data.
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Further verification of the applicability of the kinetic models was also tested with
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the sum of error squares (SSE) and linear regression. The higher the value of R2 and the
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lower the value of SSE, the better is the goodness of fit and therefore the applicability of
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the kinetic model. Values of SSE calculated from pseudo-second order equation were
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very low at all the concentration range considered, when compared with those of others
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(Table 3), which further confirms the validity of the applicability of the pseudo-second
375
order kinetic model to the present sorption process over the other kinetic models
376
investigated in this study.
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CONCLUSION
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Raw melon husk (RMH) is able to adsorb Methylene Blue dye from aqueous solutions.
381
Optimum sorption of MB dye by RMH is achieved at an adsorbent dosage of 0.200 g/L
382
of solution for an equilibrium time of 120 minutes. It is successful to use the coefficient
383
of determination of the non-linear method for comparing the best fit of the Langmuir,
384
Freundlich, and Temkin isotherms. The Temkin and the Langmuir isotherms had higher
385
coefficients of determination than that of Freundlich isotherm but Langmuir might be the
386
best-fitting isotherm. The kinetic data can best be described by the pseudo second order
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kinetic model. Apparently, it can be concluded that the most applicable isotherm to
388
describe methylene blue dye–RMH adsorption system are Langmuir and Temkin
389
isotherms. Their values of regression coefficients, R2 and the non-linear error function
390
(SSE) are satisfactory. The Freundlih isotherm is the least applicable isotherm as the
391
linear regression coefficients, R2 were less than 0.9 and the sum of error square (SSE) is
392
more than 5%.
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
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510
511
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513
514
515
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517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
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20
549
550
551
Table 1: The process nature of separation factor
KR
KR > 1
KR = 1
0<K<1
KR = 0
552
553
554
555
556
557
558
Type of process
Unfavorable
Linear
Favorable
Irreversible
Table 2: Isotherm model parameters for adsorption of MB dye onto RMH
Freundlich
R2
0.873
SSE(%)
kf
11.28
12.578
Langmuir
1/n
0.3114
R2,
0.999
SSE(%)
3.71
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
21
qmax
47.39
Temkin
ka
0.991
R2
0.983
SSE(%) a
2.46
23.17
b
4.72
585
586
587
588
589
590
Table 3: Comparison of rate constants and other parameters for various kinetic
models at different initial concentrations
Parameters
qe (expt.)
Pseudo-first order
R2
k1
qe (cal.)
SSE(%)
Pseudo –second order
R2
k2
qe (cal.)
h
SSE(%)
Elovich model
R2
α
β
SSE(%)
Morris-Weber
R2
Kid
Xi
SSE(%)
C0 (mg/L)
5
1.232
10
2.468
25
6.192
50
12.426
100
24.347
0.864
0.016
0.037
103.2
0.910
0.024
0.031
129.7
0.800
0.014
0.070
125.5
0.741
0.017
0.632
508.9
0.982
0.041
3.725
427.3
1.000
2.106
1.231
3.19
0.1
1.000
3.358
2.468
20.4
0.1
1.000
1.306
6.188
50.0
0.4
1.000
0.165
12.407
25.3
1.6
0.999
0.037
24.509
22.4
1.2
0.861
4.5x1066
133.33
0.68
0.817
3.2x10107
104.17
0.15
0.893
3.6x10111
42.92
0.22
0.923
1.4x1019
4.05
4.69
0.959
1.6x109
1.07
27.66
0.9689
0.003
1.193
0.23
0.6612
0.0033
2.432
0.45
0.7394
0.0081
6.078
1.47
0.7363
0.0844
11.515
12.32
0.8619
0.3398
20.867
68.15
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
22
50
102
45
100
40
qe (mg/g)
30
96
25
94
20
qe
% MB Sorption
15
% MB Sorption
98
35
92
10
90
5
0
88
0
606
607
608
609
0.2
0.4
RMH dosage (g)
0.6
0.8
Fig. 1: Effect of adsorbent dosage on MB dye removal
50
120
45
qe (mg/g)
35
80
30
qe
% MB sorption
25
60
20
40
15
10
% MB sorption
100
40
20
5
0
0
610
611
612
613
100
200
300
400
500
Initial concentration of MB (mg/L)
0
600
Fig. 2: Effect of MB dye concentration on sorption by RMH
14
120
12
100
qt (mg/g)
80
8
60
6
qt
%MB Sorption
4
20
2
0
0
614
615
616
617
40
% Mb Sorption
10
50
100
150
0
200
t (min)
Fig. 3: Effect of contact time on sorption of MB onto RMH
23
7
6
5
Ce/qe
4
3
2
1
0
0
618
619
620
621
50
100
150
200
250
300
350
Ce (mg/L)
Fig. 4:
Langmuir sorption isotherm of MB onto RMH
2
1.8
1.6
1.4
log qe
1.2
1
0.8
0.6
0.4
0.2
0
-3
622
623
624
625
-2
-1
0
1
2
3
log Ce
Fig. 5: Freundlich sorption isotherm of MB dye onto RMH
24
60
50
40
qe
30
20
10
0
-6
-4
-2
0
2
4
6
8
-10
ln Ce
626
627
628
629
Fig. 6: Temkin sorption isotherm of MB dye onto RMH
1
0.5
0
log (qe-qt)
0
20
40
60
80
100
120
140
-0.5
5mg/l
10mg/l
25mg/l
50mg/l
100mg/l
-1
-1.5
-2
-2.5
-3
630
631
632
633
t (min)
Fig. 7: Pseudo first-order kinetic plot for the sorption of MB onto RMH
25
140
120
100
5mg/l
10mg/l
t/qt
80
25mg/l
50mg/l
100mg/l
60
40
20
0
0
50
100
150
200
t (min)
634
635
636
Fig. 8: Pseudo -second order kinetic plot for the sorption of MB onto RMH
30
25
5mg/l
qt (mg/g)
20
10mg/l
25mg/l
50mg/l
15
100mg/l
10
5
0
0
637
638
639
640
1
2
3
4
5
6
ln t
Fig. 9: Elovich plot for the sorption of MB onto RMH
26
30
25
qt
20
5mg/l
10mg/l
25mg/l
50mg/l
100mg/l
15
10
5
0
0
641
642
643
644
645
2
4
6
8
t
10
12
14
1/2
Fig. 10: Morris-Weber equation for the sorption of MB onto RMH
27
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