This study investigated the feasibility of
- MnO2 nanostructure used as an
adsorbent for the removal of Pb(II),
Co(II) and Cu(II) from aqueous solution.
The experimental results were analyzed
using three adsorption isotherm models,
the Freundlich, Langmuir and RedlichPeterson, isotherm models. By using the
Langmuir isotherm, the adsorption
capacities for Pb(II), Co(II) and Cu(II)
are found as 200 mg/g, 90.91 mg/g and
83.33 mg/g respectively. The154
effectiveness of - MnO2 nanostructure
in the sorption of the three metals from
aqueous system was Pb(II) > Co(II) >
Cu(II).The separation parameters, SF, for
the three metals are less than unity
indicating that - MnO2 nanostructure is
an appropriate adsorbent for the three
metal ions. However, SF value of Pb(II)
> Cu(II) > Co(II), indicate that in a
mixed metal ion system, Pb(II) will
compete for binding sites faster than
Co(II) and Cu(II).
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Tạp chí phân tích Hóa, Lý và Sinh học - Tập 20, Số 2/2015
ADSORPTION OF Pb(II), Co(II) AND Cu(II) FROM AQUEOUS SOLUTION
ONTO MANGANESE DIOXIDE ( - MNO2) NANOSTRUCTURE.
II- Equilibrium Isotherm Studies
Đến tòa soạn 27 – 8 – 2014
Le Ngoc Chung
Dalat University
Dinh Van Phuc
Dong Nai University
SUMMARY
HẤP PHỤ Pb(II), Co(II) VÀ Cu(II) TỪ DUNG DỊCH NƢỚC
BỞI MANGANESE DIOXIDE ( - MnO2) CẤU TRÚC NANO
II- Khảo sát đẳng nhiệt cân bằng
Đ sử dụng các mô hình đẳng nhiệt hấp phụ Freundlich, Langmuir và Redlich-
Peterson đ phân tích đánh giá cân bằng hấp phụ Pb(II), Co(II) và Cu(II) từ dung dịch
nước bởi - MnO2 có cấu trúc nano. Kết quả cho thấy các mô hình Freundlich,
Langmuir và Redlich-Peterson rất thích hợp cho các ion kim lọai Co(II) và Cu(II),
trong khi đó mô hình đẳng nhiệt Langmuir và Redlich-Peterson thì phù hợp cho sự hấp
phụ Pb(II). Dựa vào mô hình Langmuir đ tính được hấp dung tương ứng đối với
Pb(II), Co(II) và Cu(II) là 200 mg/g; 90,91 mg/g và 83,33 mg/g. Khả năng hấp phụ của
- MnO2 cho các ion kim lọai nói trên theo thứ tự Pb(II) > Co(II) > Cu(II).
Keywords: Freundlich, Langmuir, Redlich-Peterson, Isotherm, the correlation
coefficient (R2), the separation factor (SF), the coefficient of determination (r2).
1. INTRODUCTION
Nowadays the presence of heavy metals
in the water sources is of major concern
because of their toxicity, bio-
accumulating tendency, threat to human
life and the environment. Therefore the
elimination of heavy metals from water
and wastewater is important to protect
public health
[1-3]
.
Among the physicochemical treatment
processes for elimination of heavy
metals, adsorption is highly efficient,
inexpensive and easy to adapt
[4-5].
149
The adsorption process depends on
parameters such as adsorbent properties,
initial concentration of adsorbate,
amount of adsorbent, contact time and
pH
[6]
. The analysis and design of an
adsorption process require the
adsorption equilibrium which is the most
important piece of information in the
understanding of the adsorption process
[6-10]
.
Equilibrium studies that give the
capacity of the adsorbents for the
adsorbate are described by adsorption
isotherm, which is usually the ratio
between the quantity adsorbed and the
remaining in the solution at equilibrium
and at fixed temperature. The various
adsorption isotherm equations have been
used to study the nature of adsorption
such as Langmuir, Freundlich, Redlich-
Peterson, Sips, Temkin and Radk-
Prausnitz, isotherm models. The most
commonly used isotherm models
include Langmuir, Freundlich and
Redlich-Peterson
[6,11 ]
.
The aim of this work is to study
equilibrium of adsorption of Pb(II),
Cu(II) and Co(II) onto manganese
dioxide nanostructures - MnO2. Three
isotherm models were used to analyze
the experimental data - Langmuir,
Freundlich and Redlich-Peterson.
2. MATERIALS AND METHODS
2.1. Material
Manganese dioxide ( - MnO2) was
synthesized via the reduction–oxidation
reaction between KMnO4 and C2H5OH
at room temperature. The results showed
that - MnO2 was about 10 – 18 nm in
size and the BET surface area was about
65 m
2
/g. The feasibility of - MnO2
used as an adsorbent for the adsorption
of Pb(II), Co(II) and Cu(II) from
aqueous solutions.
Pb(II), Cu(II), and Co(II) were
used as adsorbate. 1000 mg/l standard
stock solution of each metal ions were
prepared by dissolving Pb(NO3)2,
Cu(NO3)2.3H2O and Co(NO3)2.6H2O
respectively in distilled water. All
reagents used in the experiment were of
analytical grade.
2.2. Methods
Batch adsorption studies were
performed to obtain the equilibrium
isotherm for adsorption of Pb(II), Cu(II)
and Co(II) from water. A volume of 50
ml of metal ion solution with different
initial concentration of 100-500 mg/L
were taken in Erlenmeyer flasks
containing a known mass of - MnO2.
The pH of the solution was adjusted by
using 0.1N HNO3 or 0.1N NaOH. The
flasks were agitated at a constant speed
of 240 rpm for 3 h in a magnetic stirrer
at room temperature 24
O
C.
Samples were collected from the flasks
at predetermined time intervals for
analyzing the residual metal ions
concentration in the solution. The
residual amount of metal ions in each
flask was investigated using atomic
absorption spectrophotometer
(Spectrometer Atomic Absorption AA –
150
7000 made in Japan by Shimadzu.). The
amount of metal ions adsorbed in
milligram per gram was determined by
using the following mass balance
equation
[6-10]
.o eC C V
q
m
(1)
where q is the adsorption capacity
(mg/g) at equilibrium, Co and Ce are the
initial concentration and the equilibrium
concentration (mg/L), respectively. V is
the volume (mL) of solution and m is
the mass (g) of adsorbent used.
3. RESULTS AND DISCUSSION
Adsorption isotherms are mathematical
models that describe the distribution of
the adsorbate specie among liquid and
solid phases, based on a set of
assumptions that related to the
heterogeneity/homogeneity of the solid
surface, the type of coverage, and the
possibility of interaction between the
adsorbate specie. In this study,
equilibrium data were analyzed using
the Freundlich, Langmuir and Redlich-
Peterson isotherms expression.
3.1. Freundlich Isotherm
The Freundlich (1906) equation
[6-14]
is an
empirical equation based on adsorption
on a heterogeneous surface. The equation
is commonly represented as,
e F e
1
log q = logK + logC
n
(2)
Where Ce (mg/L) is the equilibrium
concentration and qe (mg/g) is the
amount adsorbed metal ion per unit
mass of the adsorbent. The constant n is
the Freundlich equation exponent that
represents the parameter characterizing
quasi-Gaussian energetic heterogeneity
of the adsorption surface. KF is the
Freundlich constant which indicate the
relative adsorption capacity of the
adsorbent. The Freundlich model was
chosen to estimate the adsorption
intensity of the sorbate on the sorbent
surface. The experimental data from the
batch sorption study of the three metal
ions on - MnO2 nanostructures were
plotted logarithmically (Fig. 1) using the
linear Freundlich isotherm equation.
The linear Freundlich isotherm constants
for Pb(II), Co(II) and Cu(II) on -MnO2
nanostructure are presented in table 1.
The Freundlich isotherm parameter 1/n
measures the adsorption intensity of
metal ions on the - MnO2
nanostructure. The low 1/n value of
Pb(II) (0.067), Cu(II) (0.064) and Co(II)
(0.164) less than 1 represent of favorable
sorption and confirmed the
heterogeneity of the adsorbent. Also, it
indicates that the bond between heavy
metal ions and - MnO2 are strong. The
adsorption capacity KF of the adsorbent
was calculated from the isothermal
linear regression equation. The KF value
of Pb(II) (137.40 L/g) is greater than
that of Cu(II) (59.98L/g) and Co(II)
(40.55 L/g), suggesting and confirming
that Pb(II) has greater adsorption
tendency towards the - MnO2
nanostructure than the other two metals.
151
Fig 1. Freundlich equilibrium isotherm
model for the sorption of the three metal
ions (Pb,Cu,Co) onto - MnO2.
Table 1. Freundlich isotherm
parameters.
Metal ions 1/n Kf (L/g) R
2
Pb 0.067 137.40 0.846
Co 0.164 40.55 0.974
Cu 0.064 59.98 0.993
3.2. Langmuir Isotherm
The Langmuir (Langmuir, 1918)
model
[6-14]
assumes that uptake of metal
ions occurs on a homogenous surface by
monolayer adsorption without any
interaction between adsorbed ions. The
linearized form of the Langmuir
equation is given,
e e
e m m L
C C 1
= +
q q q .K
(3)
The Langmuir isotherm model was
chosen for the estimation of maximum
adsorption capacity corresponding to
complete monolayer coverage on the -
MnO2 surface. The plots of specific
sorption (Ce/qe) against the equilibrium
concentration (Ce) for Pb
2+
, Co
2+
and
Cu
2+
are shown in Fig. 2 and the linear
isotherm parameters, qm, KL and the
coefficient of determinations are
presented in table 2.
The data in table 2 indicated that, the
high values of correlation coefficient (R
2
= 0.998 – 0.999) indicates a good
agreement between the parameters and
confirms the monolayer adsorption of
Pb(II), Co(II) and Cu(II) ions on to -
MnO2 nanostructure surface.
Furthermore, the sorption capacity, qm,
which is a measure of the maximum
sorption capacity corresponding to
complete monolayer coverage showed
that the - MnO2 nanostructure had a
mass capacity for Pb
2+
(200 mg/g) than
Co
2+
(90.91 mg/g) and Cu
2+
(83.33
mg/g).
Fig. 2. Langmuir equilibrium isotherm
model for the sorption of the three metal
ions onto - MnO2 nanostructure
Table 2. Langmuir adsorption isotherm
constants for ions on - MnO2
Sample KL
qm
(mg/
g)
R2
SF (at
lowest
C0 =
100mg/
L)
SF (at
highest
C0 =
500mg/
L)
Pb (II) 1.25 200 0.999 0.0079 0.0016
Co (II) 0.16
90.9
1
0.998 0.0588 0.0123
Cu (II) 1.09
83.3
3
0.999 0.0091 0.0018
An important characteristic of the
152
Langmuir isotherm is expressed in a
dimensionless constant equilibrium
parameter, SF also known as the
separation factor
[7,13,14]
, given by
o
1
=
1 + K .C
F
L
S
(4)
The data in table 2 further indicated that,
the dimensionless parameter SF
remained between 0.008 and 0.059 (0 <
SF <1) at lowest concentration studied
and between 0.0016 and 0.025 (0 < SF
<1) at highest concentration studied, i.e.
the separation parameters SF for the
three metals are less than unity
indicating that -MnO2 nanostructure is
an appropriate adsorbent for the three
metal ions. The smaller SF value
indicates a highly favorable adsorption.
However, SF value of Co (II) > Cu (II) >
Pb (II), indicates that in a mixed metal
ion system, Pb(II) will compete for
binding sites faster than Zn(II) and
Cu(II).
3.3. Redlich-Peterson Isotherm
Redlich–Peterson isotherm [6-14] is a
hybrid isotherm featuring both
Langmuir and Freundlich isotherms,
which incorporate three parameters into
an empirical equation. Then, Redlich
and Peterson equation designated the
“three parameter equation,” which may
be used to represent adsorption
equilibria over a wide concentration
range. The linearized form of the
Redlich–Peterson equation is given,
e
RP e RP
e
C
Ln K -1 =βLnC + Lnα
q
(5)
Where KRP (L/g), αRP (L/mg) and β are
the Redlich-Peterson isotherm constants.
The value of β is the exponent which
lies between 0 and 1. In the limit, the
Redlich–Peterson isotherm approaches
Freundlich isotherm model at high
concentration (as the β values tends to
zero) and is in accordance with the low
concentration limit of the ideal
Langmuir condition (as the β values are
all close to one).
The Redlich–Peterson isotherm
constants can be predicted from the plot
between eRP
e
C
Ln K -1
q
versus LnCe.
However, this is not possible as the
linearized form of Redlich–Peterson
isotherm equation contains three
unknown parameters αRP, KRP and β.
Therefore, a minimization procedure is
adopted to maximize the coefficient of
determination r
2
, between the theoretical
data for qe predicted from the linearized
form of Redlich–Peterson isotherm
equation and the experimental data. The
Redlich–Peterson isotherm plot for the
three metal ions (Pb
2+
, Co
2+
and Cu
2+
)
are presented in Fig. 3 and the isotherm
parameters is given in table 3.
The data in table 3 indicated that, the
higher R
2
values for Redlich–Peterson
shows the experimental equilibrium data
153
was found to follow Redlich–Peterson
isotherm equation. This was expected,
because a degree of heterogeneity (β) is
included and this equation can be used
successfully at high solute
concentrations. Langmuir is a special
case of Redlich–Peterson isotherm when
constant β is unity.
Fig. 3. Redlich–Peterson equilibrium
isotherm model for the sorption of the
three metal ions onto - MnO2
Table 3. Redlich–Peterson isotherm
parameters.
Meta
l ions
KRP aRP R
2
Pb
307.346 1.562 0.99
8
1.00
0
Co
24.134 0.378 0.93
2
0.99
9
Cu
3693.18
9
60.16
7
0.94
1
0.99
9
3.4. Coefficients of Determination.
It has been suggested that linearization
plots may not be a significant basis to
reject or accept a model. To further
analyze the suitability of the three
models (Freundlich, Langmuir and
Redlich-Peterson), their fitness to the
experimental data was assessed. The
fitness of the data was established using
a single statistical parameter (r
2
) which
is called the coefficient of
determination
[13,14]
. The coefficient of
determination values for the three
models as shown in Table 4. The r
2
values suggest that the Freundlich,
Langmuir and Redlich-Peterson
isotherms provide a good model for the
sorption of Co (II) and Cu(II) - r
2
> 0.97.
While the Langmuir and Redlich-
Peterson isotherms produce a reasonable
fit to the experimental data for Pb(II).
Table 4. Adsorption isotherm
coefficients of determination (r
2
).
Adsorption
Isotherm
Heavy metals
Pb (II) Co (II) Cu (II)
Freundlich 0.846 0.974 0.992
Langmuir 0.999 0.998 0.999
Redlich –
Peterson
1 0.999 0.999
4. CONCLUSION
This study investigated the feasibility of
- MnO2 nanostructure used as an
adsorbent for the removal of Pb(II),
Co(II) and Cu(II) from aqueous solution.
The experimental results were analyzed
using three adsorption isotherm models,
the Freundlich, Langmuir and Redlich-
Peterson, isotherm models. By using the
Langmuir isotherm, the adsorption
capacities for Pb(II), Co(II) and Cu(II)
are found as 200 mg/g, 90.91 mg/g and
83.33 mg/g respectively. The
154
effectiveness of - MnO2 nanostructure
in the sorption of the three metals from
aqueous system was Pb(II) > Co(II) >
Cu(II).The separation parameters, SF, for
the three metals are less than unity
indicating that - MnO2 nanostructure is
an appropriate adsorbent for the three
metal ions. However, SF value of Pb(II)
> Cu(II) > Co(II), indicate that in a
mixed metal ion system, Pb(II) will
compete for binding sites faster than
Co(II) and Cu(II).
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