Chemical Science International Journal
19(4): 1-12, 2017; Article no.CSIJ.34082
ISSN: 2456-706X
(Past name: American Chemical Science Journal, Past ISSN: 2249-0205)
Effective Microporosity for Enhanced Adsorption
Capacity of Cr (VI) from Dilute Aqueous Solution:
Isotherm and Kinetics
Lloyd Mukosha1,2*, Maurice S. Onyango1, Aoyi Ochieng3 and John Siame2
1
Department of Chemical, Metallurgical and Materials Engineering, Tshwane University of
Technology, Pretoria, Private Bag X680, South Africa.
2
Department of Chemical Engineering, Copperbelt University, Kitwe, P.O.Box 21692, Zambia.
3
Department of Chemical Engineering, Vaal University of Technology, Vanderbijlpark 1900,
South Africa.
Authors’ contributions
This work was carried out in collaboration between all authors. Authors MSO and AO designed the
study, organized experiment requisites and interpretation of results. Authors LM and JS conducted
experiments, managed literature searches and analyzed samples and results. Author LM wrote the
first draft of the manuscript. All authors read and approved the final manuscript.
Article Information
DOI: 10.9734/CSJI/2017/34082
Editor(s):
(1) Nagatoshi Nishiwaki, Kochi University of Technology, Japan.
(2) T. P. West, Department of Chemistry, Texas A&M University-Commerce, USA.
Reviewers:
(1) Farid I. El-Dossoki, Port-Said University, Egypt.
(2) Jelena Kiurski, University Business Academy, Novi Sad, Serbia.
(3) Saima Fazal, South China University of Technology, China.
Complete Peer review History: http://www.sciencedomain.org/review-history/19612
th
Original Research Article
Received 12 May 2017
Accepted 13th June 2017
th
Published 19 June 2017
ABSTRACT
The adsorbent pore structure significant to enhanced adsorption capacity of Cr (VI) from dilute
aqueous solution is evaluated. As reference, low-cost micro-mesoporous activated carbon (AC) of
high basicity, mesoporosity centred about 2.4 nm, and effective microporosity centred about 0.9 nm
was tested for removal of Cr (VI) from dilute aqueous solution in batch mode. At pH 2 the low-cost
AC exhibited highly improved Langmuir Cr (VI) capacity of 115 mg/g which was competitive to high
performance commercial AC. A Comparison with treated characterization results of literature
adsorbents/ACs showed that moderate to high effective micropore volume of average pore-size
_____________________________________________________________________________________________________
*Corresponding author: E-mail: loimwimba@yahoo.com;
Mukosha et al.; CSIJ, 19(4): 1-12, 2017; Article no.CSIJ.34082
about 0.9 ± 0.1 nm is critical for increased adsorption capacity of Cr (VI) from dilute aqueous
solutions. The mesostructure of the tested low-cost AC was associated with rapid kinetics that was
fitted by the Pseudo-second kinetics model. While Biot numbers suggested slight significant
contribution of intraparticle diffusion. It is hoped that this study may be a useful contribution to
development of effective adsorbents for the efficient abatement of toxic Cr (VI) from wastewater and
water.
Keywords: Cr (VI) adsorption; dilute solution; adsorbent properties; micro-mesoporous; effective
microporosity.
1. INTRODUCTION
capacity for Cr (VI) than micro-mesoporous
activated carbon (AC) of wide PSD centered
about 3.2 nm. Contrary to above both reports, it
is known that the adsorption process would
follow a sequential occupancy of adsorption sites
based on level of adsorption potential [13-15]. In
this sense, for adsorption from dilute solutions,
the adsorption potential would be highest in
effective micropores with monolayer or primary
volume filling capacity due to strong overlapping
of adsorption potential from opposite walls, as
opposed to surface coverage in wider pores. This
means that enhancement of adsorption potential
in effective micropores depends on the ratio of
micropore size to adsorbate size. In related
study, the high butane adsorption capacity from
dilute solution was reported to occur in effective
micropores with primary volume filling [16]. This
should be contrasted with adsorption from
concentrated solutions when capacity could be a
function of total micropore volume.
The necessity for removal of highly toxic Cr (VI)
from wastewaters and the highly feasible use
of the economical and efficient adsorption
technology have been adequately discussed
[1-3]. It is at low concentration of Cr (VI) in water
bodies that is significant to environmental
protection as reflected in stringent Cr (VI)
contaminant limits of 0.05 mg/L in drinking water
and 0.1 mg/L for wastewater discharge to
surface waters [4]. For solution Cr (VI)
concentration < 1000 mg/L, the predominant
species are hydrogen chromate oxyanion
(HCrO4-) in pH 1 – 6.5 and chromate oxyanion
2(CrO4 ) in pH 6.5 – 10 [2]. With reference to
diameter of CrO42- of ca. ≈ 0.50 nm [5] and its
spatial arrangement, it could be assumed that
the diameter of HCrO4- (a product of protonation
2+
reaction: CrO4 + H ↔ HCrO4 ) would be similar
at about 0.50 nm. Literature studies on the
adsorption of Cr (VI) in solution pH 2 - 5 has
showed that adsorbent specific surface
functionality (acidic or basic) would enhance
affinity for HCrO4 either by ion-exchange
interaction [6] or electrostatic attraction [7,8]. It is
evident from X-ray Photoelectron Spectroscopy
analysis that HCrO4 /biosorbent interaction could
plausibly proceed through adsorption-coupled
reduction and chemisorption or complexation of
3+
resultant Cr dependent on amount of acidic
surface groups [8-10].
The contribution of knowledge of the relevant
PSD for enhanced Cr (VI) capacity from dilute
solutions would be significant for optimal design
of future adsorbents. Interestingly, many studies
have explored the potential application of
abundantly available biomass wastes for
development of low-cost adsorbents/ACs for
abatement of Cr (VI) from wastewater [1,2,17].
The low-cost adsorbents/ACs were developed
using the backward approach of first developing
the adsorbent and then testing for quality in
adsorption of Cr (VI). However, most of
developed low-cost adsorbents/ACs have
showed low Cr (VI) capacities from dilute
aqueous solutions. In practical application, low
Cr (VI) capacities on low-cost adsorbents would
translate into usage of large quantities of
adsorbent and design of large sized adsorption
units. The handling and disposal of large
quantities of spent adsorbent could also be an
environmental problem. Therefore, there is still
need to develop new low-cost adsorbents of high
efficient removal of Cr (VI) from dilute aqueous
solutions.
At present, however, the outstanding fact about
Cr (VI) adsorption is the lack of conclusive
empirical evidence on the relevant pore-size
distribution (PSD) for enhanced adsorption
capacity from dilute industrial wastewaters
[typically < 400 ppm] significant to environmental
protection. Referenced to silica nanoparticles of
mean adsorption pore size about 7.0 nm, the
researchers [11] concluded that adsorbent broad
PSD, not surface area or average pore size, is
important for enhanced removal of Cr (VI) from
wastewater. In another study [12], ordered
mesoporous carbon (OMC) of PSD centered
about 22 nm was reported to have very high
2
Mukosha et al.; CSIJ, 19(4): 1-12, 2017; Article no.CSIJ.34082
In this study, attempt is made to evaluate the
effective microporosity for enhanced Cr (VI)
capacity from dilute aqueous solution and,
thereby, promote the forward approach of
incorporating relevant adsorbent properties at
development stage. Low-cost sawdust AC
(denoted L-AC) developed at our previously
determined optimum conditions [16] was
submitted for removal of Cr (VI) from dilute
aqueous media. The L-AC was characterized for
relevant adsorptive properties and batch
adsorption studies to evaluate effect of pH,
equilibrium
capacity
and
kinetics
were
conducted. Importantly, the pore structure the
L-AC is discussed in relation to adsorption
potentials for Cr (VI) from dilute aqueous media.
The equilibrium capacity was compared with
commercial AC. Thereafter, using our L-AC
as
reference,
literature
adsorbent/AC
characterization results were treated and their
relevance to results of comparative analysis was
made to validate the effective micropore average
size available for adsorption for enhanced Cr (VI)
capacity from dilute solutions.
and the char cooled to ambient temperature in N2
flow. To develop L-AC, the prepared char was
heated in continuous preheated N2 flow (180°C,
570 mL/min) at 10 K/min to 800°C and
superheated steam (180°C, 1.6 bar, and 780
mL/min) activated for 1.5 hrs, and cooled to
ambient temperature in N2 flow and stored in a
desiccator. The during activation or in-situ
modification of surface groups occurred at the
activation temperature in flowing N2-steam
mixture.
The outgassed L-AC sample was analyzed for
textural properties using 77K N2-adsorption
(TriStar II 2030, Micromeritics) and 273K CO2adsorption (ASAP 2020, Micromeritics), and
surface morphology using scanning electron
microscope (SEM, Cambridge Instrument 360).
While the total acidity and basicity were
determined by the standardized Boehm titration
method and the pH point of zero charge (pHPZC)
from proton binding isotherm obtained by the
manual potentiometric titration method. Details of
instruments and procedures were previously
reported [16]. The bulk density was determined
using the graduated cylinder method. The
average pore size (LAVE, nm) of micropores
available for adsorption was calculated from the
geometrical relation [19]:
2. EXPERIMENTATION
2.1 Materials
The low-cost AC (L-AC) was developed from
Pine tree (Pinus patula) sawdust obtained locally
(Singisi Sawmill, KwaZulu Natal, South Africa).
The commercial AC (Norit RO 0.8), vendor
specified as suitable for wastewater treatment
was purchased from Sigma, USA and used for
comparison. Potassium dichromate (K2Cr2O7,
99+ %) powder was purchased from Sigma,
USA. Hydrochloric acid (HCl, 32%) Sodium
Chloride standard solution (NaCl, 99.5%) and
Sodium Hydroxide pellets (NaOH, ≥ 95%) were
purchased from SMM, South Africa. Stock
solutions were prepared using deionised water.
All chemicals used were of analytical reagent
grade.
= 2 × 10
3
/
(1)
2
where, VMIC (cm /g) and SMIC (m /g) are t-plot
(analogue of α-plot [13]) micropore volume and
surface area respectively.
2.3 Batch Equilibrium
Equilibrium adsorption studies were conducted in
sample bottles with 0.8 g/L-AC in solutions of
known Cr (VI) concentrations shaken in a
thermostated water shaker (Labcom, Maraisburg)
at 200 rpm and 25°C for 24 hrs equilibration,
paper filtration and the filtrates Cr (VI)
concentrations
determined
by
the
EPA
recommended 1, 5-Diphenylcarbazide method
using UV-Vis spectrophotometer (Libra S12, UK)
at 543 nm. The effect of pH was studied using
triplicate samples. Solutions pH was adjusted
using HCl or NaOH solutions, and using precalibrated pH meter (Orion 4 star, USA).
Subsequent to determining the adsorption
optimum pH all other adsorption tests were
carried out at that optimum pH. The uptake qe
(mg/g) and percentage removal φ (%) were
calculated according to equations (2) and (3)
respectively.
2.2 Development and Characterization of
Activated Carbon
The carbonization and activation of carbon
samples were performed in a stainless steel
vertical fixed-bed tubular reactor. Equipments
and details of preliminary optimization of
carbonization/activation processes have been
previously reported [18]. Briefly, the P. patula
sawdust was carbonized in continuous N2 flow
(570 mL/min) at 10 K/min to 800°C and 2 hrs,
3
Mukosha et al.; CSIJ, 19(4): 1-12, 2017; Article no.CSIJ.34082
=(
)/
−
= 100[(
adsorption mass transfer Biot (Bi) number,
equation 10 [23] with the batch film transfer
coefficient (kfb, cm/s) determined by the Mathews
& Weber (M&W) linear driving force (LDF) rate
law (equation 12) [24] and the effective
2
intraparticle diffusion coefficient (Deff, cm /s)
approximated by the Patterson diffusion model
(equations 13 – 17) [23].
(2)
) /
−
(3)
]
where, CO is the solute initial concentration
(mg/L), Ce is the equilibrium solute concentration
in solution (mg/L), VS is the solution volume (L),
and m is mass of AC (g).
=
=
=∑
( )=
=
=
( )
(4)
(
)
( )=
(5)
(
)
(
(
)
)
(6)
=(
=4
+3
2.4 Batch Kinetics
/
(11)
(12)
(
(
− ( ))/(
/
)/
−3
) 1+
) 1+
−
√
√
)
(13)
(14)
(15)
(16)
=0
(17)
where, q1 and q2 are adsorbed quantities (mg/g),
k1 and k2 are rate constants, h is initial sorption
rate (min), qO adsorbed quantity (mg/g) in
equilibrium with CO, dp is particle diameter (cm),
3
ρp is particle density (g/cm ) estimated by
equation 11 [23], ρb is bulk density (g/cm3), ɛb is
bed porosity of typically about 0.4 for AC [25],
U(t) is the fractional attainment to equilibrium; w
is the equilibrium partition ratio (0 < w < 1
indicates finite solution case i.e. concentration of
adsorptive in solution continuously changes from
initial to equilibrium, and w > 1 indicates infinite
solution case i.e. concentration of adsorptive
remains constant in solution), τ is dimensionless
time constant and, the ϴ and β terms are the
negative and positive roots respectively, of
equation (17).
Batch adsorption kinetics tests were conducted
for the evaluation of the rate constants and
diffusion parameters. A laboratory batch stirred
tank with 600 mL solution of 50 mg/L Cr (VI) and
stirring speed of 400 rpm was used by the
method detailed in [21]. Syringe filters (0.2 µm)
were used to withdraw 5 mL aliquot samples at
predetermined time intervals. The variable
studied was initial concentration. The uptake with
time t (min), q(t) (mg/g) was calculated by:
− ( )
(10)
−
−
(9)
)
=−
( )=(
(8)
)
=
⁄(1 −
1−
where, Qmax is the monolayer adsorption capacity
(mg/g), and KL is the Langmuir constant (L/mg).
KF is Freundlich constant related to the
adsorption capacity (mg/g) and Fr is the
heterogeneous factor.
( )=
(1 −
( )=
The isotherm parameters were evaluated using
the isotherm models of the Langmuir (equation 4)
and Freundlich (equation 5) [20]. The agreement
of model to data was validated by nonlinear
regression of minimizing the Chi-squared (χ2)
function per equation 6 [20], with solutions
generated using Microsoft Excel 2010, Add-in
solver.
(7)
where, C(t) is solute concentration in (mg/L) at
time, t.
The kinetics rate constants were evaluated using
the adsorption surface reaction models of the
pseudo first-order (equation 8) and the pseudo
second-order (equation 9) [8,22], with conformity
of model to data assessed through minimum Chisquared function, equation 6. While the diffusion
controlling stage was evaluated from the
3. RESULTS AND DISCUSSION
3.1 Activated Carbon Characterization
Fig. 1 shows the 77K N2-adsorption/desorption
isotherm curve of L-AC. The exhibited type IV
4
Mukosha et al.; CSIJ, 19(4): 1-12, 2017;; Article no.CSIJ.34082
no.
isotherm with H3-type
type hysteresis loop in the
range P/PO (0.4 – 0.8) was indicative of narrow
distribution of relatively uniform or ordered
mesopores.
es. From SEM micrograph of Fig. 2,
platelike particles with some slit-pores
slit
and
dominant similar circular pores were observed.
The high N2 adsorption start point in Fig. 1
suggested N2 molecule diffusional restrictions in
narrow micropore (< 0.5 nm) at 77K and P/PO <
0.06 in our short experiment time of 8 hrs [15]
and, therefore, narrow microporosity was
evaluated from CO2-adsorption
adsorption isotherm data at
273K and P/PO < 0.04 and 8 hrs [insert in Fig. 1].
measured high N2-BET
BET surface area (SBET) in
Table 1 indicated presence of wide micropore
(0.5 – 2.0 nm). Using equation (1), the calculated
average pore width (LAVE) of wide micropores
available for adsorption was 0.9 nm.
Fig. 3. The mesopore-size
size distribution ((●) of
L-AC [Insert: The narrow micropore
micropore-size
distribution (■) of L-AC]
AC]
AC showed high SBET of
From Table 1, the L-AC
2
1079 m /g with wide micropore surface area
(SMIC) at ca. 54%, and total pore volume (V
( T) of
0.71 cm3/g with moderate wide micropore
3
volume (VMIC) of 0.25 cm /g. The high proportion
of mesoporosity (VT – VMIC) at ca. 65% was
important for reduced diffusion limitation of
HCrO4- oxyanion to interior wide micropores that
would be sites of high adsorption potential
[13-15].
15]. Reported theoretical calculations have
indicated that the important parameter for
enhanced adsorption potential in effective
ropore size to
micropores is the ratio of micropore
adsorbate size, with upper ratio limit for primary
volume filling in the range 1.5 – 2.0 dependent
on actual shape (slit-like
like or cylindrical) pores
[13]. With reference to approximate size of
HCrO4- (≈
≈ 0.50 nm), narrow micropores (< 0.5
nm) would be closed due to size exclusion effect.
Also, the adsorption capacity would be reduced
in micropores of same size as HCrO4- due to
kinetic limitations. Thus, considering the
theoretical upper ratio limit of effective micropore
size for primary filling
g at 2.0, it could be assumed
that for enhanced adsorption capacity of HCrO4
from dilute solutions the effective wide micropore
PSD would be in the range 0.50 – 1.0 nm. Thus,
the evaluated PSD of L-AC
AC of moderate wide
micropore volume of average pore width
widt (LAVE =
0.9 nm) and high proportion of narrow
mesoporosity was promising for enhanced
capacity and fast kinetics of Cr (VI) oxyanion,
subject to enhanced affinity of HCrO4- for the insitu created surface groups.
Fig. 1. 77K N2- adsorption/desorption
AC [Insert: 273K CO2isotherms (●) of L-AC
adsorption isotherms (♦)
♦) of L-AC]
L
Fig. 2. SEM micrograph of L-AC.
AC. Particle
1000 +850 µm; Mag.: 500 x 10µm
size:-1000
The mesopore PSD was determined by the
Pierce method [13] and results shown in Fig 3,
where it was confirmed that the L-AC
L
had
uniform mesopores in the narrow range 2.0 – 8.0
nm pore diameter centred at about 2.5 nm pore
adsorption data, the
diameter. From CO2-adsorption
instrument
software
calculated
narrow
microporosity distribution (Horvath-Kawazoe
(Horvath
method) is shown as insert in Fig. 2. It was
observed that the narrow microporosity was
mostly 0.4 nm in diameter. However, the
5
Mukosha et al.; CSIJ, 19(4): 1-12, 2017;; Article no.CSIJ.34082
no.
Table 1. Textural properties
pr
of L-AC
2
SBET (m /g)
1079
2
SMIC (m /g)
580
3
VT (cm /g)
0.71
3
VMIC (cm /g)
0.25
LAVE (nm)
0.9
Dave (nm)
2.4
Dave: HJB average pore diameter; ρb: Bulk density
Fig. 4 shows that the L-AC
AC was highly basic with
pHPZC about 10, consistent with the Boehm
titration calculations of high total basicity (940
µmol/g) against total acidity (71 µmol/g). The
high activation temperature (800°C)
C) basicity of
L-AC
AC could be due to presence of thermally
stable surface oxygen basic
c groups (pyrone and
electrons system
chromene) and delocalized ᴨ-electrons
on basal graphene layers [26].
ρb (g/L)
162
The results in Fig. 5 showed that percentage
removal was high at pH 2 (ca. 98 ± 1.6%) and
minimal for pH > 2. A similar trend has been
reported [27,28]. On the other hand, the
equilibrium pH slightly increased for initial pH (2
– 8), and was similar to initial pH for pH (10 –
12). An only slight increase in equilibrium pH at
initial pH 2 suggested that the solution
sol
direct
reduction of Cr (VI) to Cr (III), catalyzed by
surface acidic electron-donor
donor groups and
complexation of Cr (III) as suggested in [8,29]
may not be the main mechanism of Cr (VI)
adsorption. Otherwise, the equilibrium pH would
have substantially increased due to consumption
of large quantities of solution protons in the
reduction process as per equation (18) [17]. The
negligible direct reduction of Cr (VI) at pH ≥ 2
has been similarly reported [6,8,17]. For CO =
100 mg/L, the predominant species is HCrO4 in
pH 1 – 6.5 [2] and L-AC
AC surface is protonated as
shown in Fig. 4. The observed slight increase in
equilibrium pH for initial pH < 10 in Fig. 4 may be
explained by surface protonation. Significant ion
exchange of surface protons for HCrO4 at pH 2
as per equation (19) proposed in [6] may also not
was
be the main mechanism, because the L-AC
L
highly basic with low concentration of acidic
groups that would be main sites of ion exchange
to account for the measured high ca. 98 ± 1.6%
removal for CO = 100 mg/L at pH 2.
Fig. 4. Proton binding isotherm for L-AC.
L
298K; < 45 μm
3.2 Effect of pH
The pH influences the ionization of AC surface
groups and Cr (VI) in water and, therefore, the
evolution of uptake with pH could be used to
elucidate the type of surface interactions e.g.
complexation or ion exchange or electrostatic
attraction or combinations. Fig. 5 shows the
effect of pH (2 – 12) on percentage removal of Cr
(VI) on L-AC.
-
+
3+
HCrO4 + 7H + 3e- ↔ Cr
+4H2O
(18)
AC-OH2+ + HCrO4- ↔ AC-OH2CrO4- + H+ (19)
+
-
+
-
AC-OH2 + HCrO4 ↔ AC-OH2 (HCrO4 ) (20)
Therefore, the high adsorption at pH 2 was
suggestive of primary physical non
non-specific
interactions of electrostatic attraction between
HCrO4- and protonated surface groups e.g.
equation (20). Since the level of acidic groups
was low on L-AC,
AC, it would be expected that only
part of surface bound HCrO4- was reduced and
complexed. In this study,, experiments not
shown, the adsorption-coupled
coupled reduction and
complexation of part of surface bound HCrO4
could be supported by loss of Cr (VI) adsorption
capacity at ca. 52% on reusability of column
regenerated Cr (VI) saturated L--AC bed using
3M NaOH eluent. The observed low adsorption
Fig. 5. Effect of pH on sorption of Cr (VI) on
L-AC. CO: 50 mg/l; 298K; -425
425 + 106 μm:
Percentage removal (♦); Equilibrium pH (X)
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Mukosha et al.; CSIJ, 19(4): 1-12, 2017;; Article no.CSIJ.34082
no.
that the Cr (VI) capacity on sawdust low
low-cost AC
of this study was on the higher side of sawdust
low-cost
cost adsorbents/ACs, and competitive with
high performance commercial ACs. Due to low
lowcost, the high Cr (VI) capacity on L
L-AC would
translate into high adsorption capacity per cost of
adsorbent compared with expensive commercial
ACs [40], and can be used on a once
once-through
basis without considerations for
or the costly
regeneration [32]. This result qualified the L
L-AC
to be very economical and efficient for abatement
of Cr (VI) from wastewater, even at large scale.
The spent AC would be safely disposed off
through a strict toxic sludge containment
protocol, otherwise use of the common spent AC
incineration method would have a major problem
196°C
of Cr (VI) thermal decomposition at about 196
to highly thermal stable and carcinogenic
chromium (III) oxide [41].
of chromium oxyanions in pH (2 – 8) in Fig. 5
was attributed to very low level of surface
protonation as seen in Fig. 4. While for pH > 10
the L-AC
AC surface was deprotonation and
repulsion of chromium oxyanions occurred.
Further adsorption tests in this study were
conducted at pH 2.
3.3 Adsorption Isotherm and Comparative
Cr (VI) Capacities
The equilibrium isotherm data was treated to
evaluate the maximum adsorption capacity of LL
AC for Cr (VI) from dilute aqueous solution.
Generally, for economical and efficient operation
of adsorption units, the AC must have high
capacity for the solute so that relatively small
quantities can be used to effect a given
wastewater treatment. Fig. 6 compares the
isotherm curves of Cr (VI) on L-AC
and
L
commercial AC (Norit RO 0.8). Both ACs
exhibited L-type
type isotherms indicative of weak
competition
ion between Cr (VI) and water for active
adsorption sites [30]. The isotherm parameters
were calculated using the Langmuir (equation
(14)) and Freundlich (equation (15)) models and
results presented in Table 2.
In majority of studies on adsorption of Cr (VI) on
AC the pore structure was not fully characterized.
Nevertheless, for dilute solutions, the results in
Table 3 indicate that Cr (VI) capacity is not
influenced by surface area. Analysis of surface
functionality show that low and high Cr (VI)
capacities have been obtained on either acidic or
size distribution
basic ACs, suggesting that pore-size
(PSD) strongly influences HCrO4 capacity on
AC. For assumed spherical HCrO4- oxyanions
(size ≈ 0.5 nm); we calculated the monolayer
equivalent surface area (SEQ) of adsor
adsorbed
HCrO4- on L-AC
AC and compared it with the
measured wide micropore surface area ((SMIC) of
L-AC. It was found that SEQ was less than SMIC.
With reference to the average wide micropore
size available for adsorption (LAVE = 0.9 nm) of LL
AC, and the assumed range
ange 0.5 – 1.0 nm
(section 3.1) of effective micropore PSD for
HCrO4- primary volume filling, the calculated SEQ
< SMIC showed that only effective micropores
with monolayer filling were involved in the
adsorption from dilute solution. To support this
finding,
ing, we treated literature AC characterization
AC. For adequately
results and compared with L-AC.
characterized ACs in Table 3, It was found that
always SEQ < SMIC, confirming that only an
effective microporosity was involved
in
adsorption from dilute solution,, in agreement with
results in related study [16]. The high Cr (VI)
AC of this study could be
capacity on the L-AC
related to presence of large volume of effective
micropores with primary filling capacity. It could
be argued that the same reason may explain tthe
reported high Cr (VI) capacity on mesoporous
silica nanoparticles (SNP) having broad PSD
[11]. While the minimal capacity for AC with
Fig. 6. Adsorption isotherm of Cr (VI) on L-AC
and Norit AC (RO 0.8). 298K; pH 2.0 ± 0.3;
●); Norit AC
A (▲);
-200+150 μm: L-AC (●);
Langmuir (▬);
▬); Freundlich(Freundlich - -)
According to Table 2, the isotherm data of both
ACs were well fitted by the Langmuir model
(lowest χ2) that underpins monolayer coverage,
coverag
suggesting uniform distribution of active
L
showed
adsorption sites [20]. However, L-AC
high monolayer capacity for Cr (VI) than Norit AC
(RO 0.8). A further comparison of Cr (VI)
capacities from dilute solutions (< 400 mg/L) in
pH 1 - 3 with some literature
ure sawdust low-cost
low
adsorbents/ACs and commercial ACs was
summarized in Table 3. It was noticed in Table 3
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Mukosha et al.; CSIJ, 19(4): 1-12, 2017; Article no.CSIJ.34082
LAVE = 0.6 nm (Table 3) could be attributed to
almost absence of effective microporosity as
confirmed by very large difference between SEQ
and SMIC, suggesting that this AC had majority of
micropores below 0.6 nm and size exclusion
effects could have dominated. On the other
hand, for moderate to high VMIC of ACs, the
results in Table 3 seem to indicate gradual
decrease of capacity with monotonic increase of
LAVE above 0.9 nm. The decrease of capacity
could be attributed to progressive loss of
effective micropores with increase in LAVE > 0.9
nm. The exceptional very low capacity at LAVE =
1.0 nm (Table 3) could be explained in terms of
very low VMIC. Interestingly, for ordered
mesoporous carbon (OMC) it was observed that
SEQ > SMIC: The very high Cr (VI) capacity on
OMC of large sized pores may be explained in
terms of bilayer or secondary volume filling
considering the estimated average pore size
available for adsorption (LAVE = 1.7 nm), and high
CO upto 3000 mg/L used in the equilibrium
adsorption experiments. The treated results in
Table 3 confirm the suggestion that an effective
micropore PSD is significant for enhanced
sorption capacity of Cr (VI) from dilute aqueous
solutions.
3.4 Batch Kinetics and Intraparticle Mass
Transfer
Besides high adsorption capacity for Cr (VI), the
Cr (VI) uptake rate on L-AC is integral to optimal
design of adsorption units for it would affect the
throughput. Fig. 7 shows the effect of initial
concentration and contact time on sorption of Cr
(VI) on L-AC. The L-AC exhibited fast adsorption
kinetics that could be associated with the
mesostructure that offered reduced diffusion
resistance for HCrO4 oxyanions to interior
wide micropores the sites of high adsorption
energy.
Table 2. Isotherm parameters of Cr (VI) on L-AC and Norit AC (RO 0.8) at 298K
Adsorbent
QMAX (mg/g)
115
94
L-AC
Norit AC
Langmuir constants
KL (L/mol)
0.83
0.55
χ2
9.14
3.04
Freundlich constants
KF (mg/g)
Fr
χ2
52.0
0.18
10.66
41.0
0.19
4.00
Table 3. Comparison of Cr (VI) capacities from dilute aqueous solutions on low-cost
adsorbents and commercial activated carbon at room temperature and pH (1 - 3)
Adsorbent
SAC
SAC
SD
CAC
SAC
J. AC
CAC
P. AC
L. AC
LS.AC
L. AC
P. AC
B. AC
CAC
SAC
CAC
MCS
WB.AC
SNP
OMC
[A]
[A]
[A]
[A]
[B]
[A]
[A]
[B]
[B]
[B]
[B]
[B]
[A]
[B]
SBET
(m2/g)
0.86
1674
650
1305
874
751
1459
1512
1363
86
718
1402
1079
1150
4.4
760
553
VMIC
(cm3/g)
0.55
0.35
0.33
0.82
0.61
0.36
0.09
0.32
0.46
0.25
0.36
SMIC
(m2/g)
1178
952
701
180
585
1370
580
415
SEQ
(m2/g)
LAVE
(nm)
339
142
376
54
360
24
465
1.4
1.3
1.0
1.0
1.1
0.6
0.9
764
1.7
QMAX
(mg/g)
42.50
44.05
12.78
147
22.35
141
132
106
84
35
93
16
89
5.9
115
94
200
59.23
111
189
Ref.
[17]
[28]
[31]
[32]
[33]
[34]
[34]
[34]
[35]
[1]
[35]
[36]
[37]
[38]
This study
This study
[27]
[39]
[11]
[12]
SAC: Sawdust activated carbon; SD: sawdust; CAC: commercial activated carbon; J: Jatropha; P: Peanut shell;
L: Lignin; LS: Longan seed; B: Bagasse;MCS: Modified corn stalk;WB: Waste bambo; SNP: Silica nanoparticles;
OMC: Ordered mesoporous carbon; [A]: Acidic; [B]: Basic; SEQ = monolayer equivalent surface area = (Am Qmax
NA)/MW; Am: molecular area; NA: Avogadro constant; MW: molecular weight; LAVE = 2000vmic/smic
8
Mukosha et al.; CSIJ, 19(4): 1-12, 2017;; Article no.CSIJ.34082
no.
The applicable rate constant was determined
first order (equation 4.5)
from fitting the pseudo-first
second order (equation 4.7) to
and pseudo-second
kinetics data, and results presented
ed in Table 4.
The kinetics rate constant is an essential
parameter for optimal design of batch adsorption
units by use of the contact time model [42]. The
results in Table 4 indicated that the pseudopseudo
second order model adequately described the
kinetics data (lowest χ2),
), as confirmed in Fig. 7.
The Pseudo-second
second model is formulated on
chemisorption kinetics [43] and, therefore, its
agreement with kinetic data suggested
involvement of chemical adsorption, further
support of occurrence of some coupled
reduction of Cr (VI). The analysis of
adsorption-reduction
order kinetic parameters revealed that
second-order
the initial adsorption rate, h,, increased with an
increase in CO, consistent with results in Fig. 7.
On the other hand, the adsorption rate constant,
k2, decreased with an increase in CO. Similar
variation of k2 with CO was reported for sorption
of Cr (VI) on sawdust [17]. The increase of h with
an increase in CO was attributed to high
concentration
gradients
at
high
initial
concentration causing fast diffusion of HCrO4oxyanion to the AC surface. As would be
expected of equilibrium uptake, the q2 values
increased with an increase in CO. This was
attributed to large number of HCrO4 oxyanion
available for adsorption and hence long
equilibrium times as CO increased.
film round the solid [23,25]. The knowledge of
diffusion limiting stage would allow for proper
ess conditions to enhance Cr (VI)
design of process
uptake. To determine the effective intraparticle
diffusion coefficient (Deff), the Patterson model
(equations 13 - 17) was fitted to kinetics data and
the model performance shown in Fig. 8. While
Fig. 9 shows the fitting off the M&W (LDF) rate
law (equations 4.12 – 4.14) to kinetic data at CO
= 50 mg/L Cr (VI) in the initial adsorption time < 5
min for determination of the [batch] liquid-film
liquid
mass transfer coefficient (kfb).
Fig. 8. Fractional attainment to equilibrium for
sorption of Cr (VI) on L-AC:
AC: 10 mg/L ((□); 30
mg/L (∆);
∆); 50 mg/L (○); Patterson diffusion
model (▬)
Fig. 9. Application of linear driving force rate
law for sorption of Cr (VI) on L-AC.
L
t < 5.0
mins
Fig. 7. Effect of initial concentration on batch
296K;
kinetics for sorption of Cr (VI) on L-AC.
L
▲); 30 mg/L (♦);
( 50
-600+300 µm: 10 mg/L (▲);
mg/L (●); 2nd order kinetics (▬)
(
It can be seen that the Patterson model fit to
kinetics data was excellent, with an average error
between experimental and model values of ca. ≤
8% for all concentrations studied. Equally, the
M&W (LDF) fit to kinetic data was excellent with
2
the correlation coefficient of R > 0.98 for all
concentrations studied. The estimated values of
Deff and kfb and Bi are summarized in Table 5.
The Patterson model is applicable to intraparticle
diffusion control and finite solution case, with
The batch diffusion controlling stage was
evaluated through calculation of [batch] Biot
number (Bi), equation 10. The Biot number is a
ratio of mass transfer resistance in the solid
phase to mass transfer resistance in the liquidliquid
9
Mukosha et al.; CSIJ, 19(4): 1-12, 2017; Article no.CSIJ.34082
Table 4. Batch kinetics rate parameters for sorption of Cr (VI) on L-AC
Variable
10
30
50
qe(expt)
(mg/g)
Pseudo-first order
q1
k1
(mg/g)
(/ min)
CO (mg/l)
11.66
11.34
0.35
36.54
35.48
0.19
60.76
58.84
0.13
χ2
Pseudo-second order
χ2
q2
k2
h
(mg/g)
(g /mg min)
(mg/ g min)
(particle size:-600+300μm; T: 296K)
12.02
0.0417
6
0.1
38.20
0.0065
9
0.8
61.37
0.0025
10
1.2
0.3
1.0
1.4
Table 5. Estimated diffusion parameters for sorption of Cr (VI) on L-AC
Parameter
10
30
50
w
CO (mg/l)
0.977
0.971
0.961
3
8
2
kfb ( x 10 cm/s)
Deff ( x 10 cm /s)
(Particle size: -600+300μm; T: 296K)
7.34
6.16
7.45
3.09
5.30
2.24
finite solution case verified by calculated
equilibrium partition ratios from equation (17) of 0
< w < 1 for all initial concentrations studied. The
2
magnitudes of estimated Deff (10-8 cm /s) and kfb
(10-3 cm/s) are typical of metal ions diffusion into
AC porous structure reported in literature [23,24]
and, therefore, further validating the applicability
of the Patterson model and M&W (LDF) rate law
to kinetic data. The kfb values were similar at CO
(10 and 30 mg/l), but decreased at CO = 50 mg/L.
Choy et al. [24] have reported a similar trend for
sorption of Zn (II) on bone char. The Deff values
decreased with an increase in CO, indicative of
increasing intraparticle resistance presumably
due to HCrO4- anions crowding of the adsorbent
surface and, therefore, anions competition for
adsorbent pores. Consequently, the Bi increased
with increase in CO. Intraparticle diffusion sorely
controls the adsorption process for Bi > 30, while
film diffusion controls the adsorption for Bi < 0.5
[23]. Therefore, the calculated (Bi) values
indicated that intraparticle diffusion resistance
was relatively significant for CO ≥ 20 mg/L.
Bi
0.96
5.15
8.18
high proportion of mesoporosity is desirable for
reduced diffusion limitations to interior effective
micropores. The results of this study show that
the forward approach of tailoring relevant
adsorptive properties at adsorbent preparation
stage is important than the backward approach
of developing the adsorbent first and then testing
for quality. The determining of adsorbent/AC
micropore volume and an average effective
micropore size from N2 adsorption isotherm data
would be simple routine quality control procedure
to ensure quality of developed adsorbent/AC.
ACKNOWLEDGEMENT
The authors gratefully acknowledge the financial
support of this project by the National Research
Fund of the Tshwane University of Technology,
Pretoria, South Africa.
COMPETING INTERESTS
Authors have
interests exist.
4. CONCLUSION
declared
that
no
competing
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