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8/3/2019 Equilibrium, Kinetic and Thermodynamic Studies on ion of Copper and Zinc From Mixed Solution by Erythrina Varieg…
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EQUILIBRIUM, KINETIC AND THERMODYNAMIC STUDIES ON
BIOSORPTION OF COPPER AND ZINC FROM MIXED SOLUTION BY
Erythrina variegata orientalis LEAF POWDER
Document by: Bharadwaj
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ABSTRACT
The aim of the present investigation is to explore the feasibility of biosorption for the
removal of copper and zinc from aqueous Cu-Zn mixed solution using freely andabundantly available plant based material Indian coral ( Erythrina variegate orientalis)
leaf powder. The effects of agitation time, biosorbent size and dosage, initialconcentration of Cu-Zn in mixed solution, pH and temperature of the mixed solution on
biosorption are determined. Batch investigations indicate that biosorption of Cu-Zn
mixture is gradually increased with increase in pH from 1 to 6 (38.25 mg/g to 44.77mg/g). The biosorption of Cu-Zn mixture is increased from 86.3 to 91.9 % (86.27 to
45.93 mg/g) with increase in biosorbent dosage from 1 to 2 g/L. 91.9 % (45.93 mg/g) of
Cu-Zn mixture is removed from the mixed solution containing 100 mg/L of Cu and Zn
agitated with 2 g/L of 45µ m size adsorbent for an equilibrium agitation time of 30 min.
The experimental data are well described by Langmuir (R 2=0.99), Freundlich (R 2=0.98)
and Temkin (R 2
=0.98) isotherms. The sorption studies follow the second order rateexpression (R 2 = 0.99) and rate constant is 9.39 g/mg-min. The biosorption is found toincrease with decrease in temperature of the mixed solution. From the thermodynamic
parameters, sorption is found to be exothermic and reversible.
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Introduction
Land, water and air are the three precious gifts of nature to mankind. Mankind
has a gift to live, and that should be of a good quality free of squalor, disease and
deprivation. An important factor for quality of life is the environment in which manexists. Environmental health depends on air quality, water quality, nutrition levels,
surroundings, industrial susceptibility and climatic conditions. Enhanced industrial
activity during recent decades has led to the discharge of unprecedented volumes of
waste water, which is a serious cause of environmental degradation [1]. Heavy metalsdue to their high toxicity, pose a serious thereat to biota and the environment [2]. Heavy
metals, such as lead, copper, zinc, cadmium and nickel are among the most toxic
pollutants present in marine, ground and industrial waste waters. In addition to their
toxicity effects even at low concentrations, heavy metals can accumulate throughout thefood chain, which leads to serious ecological and health hazards as a result of their
solubility and mobility [3]. Although copper and zinc are essential trace elements, highlevels can cause harmful health effects.
Copper is also toxic to a variety of aquatic organisms, even at low concentrations
[4]. The excessive intake of copper results in its accumulation in the liver and producesgastrointestinal problems, kidney damage, anemia and continued inhalation of copper –
containing sprays is linked with an increasing lung cancer among exposed workers [5].
One metal ion which is often released into the environment through industrial activities atconcentrations of physiological and ecological concern is zinc. In the Dangerous
Substances Directive (76/464/EEC) of the European Union, zinc has been registered as
list 2 dangerous substances with environmental quality standards being set at 40 µ g/L
for estuaries and marine water and at 45-500 µ g/L for fresh water depending on water
hardness. Zinc is widely used in coating iron and other metals, in wood preservatives,
catalysts, photographic paper, and accelerators for rubber vulcanization, ceramics,textiles, fertilizers, pigments and batteries [6] and as a consequence it is often found in
the waste water arising from these processes.
The commonly used procedures for removing metal ions from waste water include chemical precipitation, ion exchange, membrane separation, reverse osmosisi,
evaporation and electro dialysis [7]. However, the application of these methods is often
limited due to their inefficiency, high capital investment/operational costs. Though ion-exchange resins and activated carbons are efficient in the removal of metals with high
uptake capacities, their utilization may be prohibitively costly for treating large volumes
of waste water [6].
Biosorption is a fast and reversible reaction of th heavy metals with biomass [8].
Biosorption can be defined as the ability of biological materials to accumulate heavymetals through metabolically mediated or physico chemical pathways of uptake [9]. The
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term ‘biosorbent’ includes the usage of dead biomass (such as fiber, peat and wool) as
well as living plants and bacteria as sorbents. Biosorbent represent cheap filter materials
often with high affinity and capacity [10].
The application of biosorption for the removal of individual copper and zinc using the
adsorbents ulva fasciata sp. [3], marine algal biomass [4], cassava (manihot sculentacranz) tuber waste [19], sugarbeet pulp and flyash[20] etc was reported in literature. The
biosorption of copper was reported onto carbonate hydroxylapatite derived from eggshell
waste [23], palm kernel fibre [17] etc. The investigations were carried out for the removalof zinc using the adsorbents like crab carapace [6], coir [10], tectona grndis L.f.leaves
[9]. Based on literature review the biosorption of Cu and Zn from mixed solution by
erythrina variegate orientalis leaf powder was carried out in this investigation. The other
investigations and their results were tabulated in table 1.
Table 1
Results of literature cited
Adsorbent [Reference] Metal study Results
Papaya wood [1]
Ulva fasciata sp. [3]
Marine algal biomass [4]
Ulva fasciata sp.[5]
Crab carapace [6]
Phanerochatechrysosporium[7]
Barley straws [8]
Tectona grndis L.f.leaves
[9]
Coir[10]
Cu, Zn, Cd
Cu, Zn
Cu, Zn, Pb,
Cd, Ni
Cu
Zn
Cu (II),Zn(II),
Pb(II)
Cu2+, Pb2+
Zn
Zn
t = 60 min, Langmuir isotherm, second order,
Optimum pH= 5, Langmuir isotherm,
qmax=26.88 mg/g for Cu and 13.5 mg/g for Zn
Optimum pH= 5 for Cu and 5.5 for Zn, t= 60
min, Langmuir isotherm, qmax =1.14 mmol/g for
Cu and 0.81 mmol/g for Zn
t=20 min, Optimum pH=5, Langmuir isotherm,
second order, K=0.0072
Optimum pH= above 4, qmax = 172.5 mg/g,
t= 60 min, Langmuir isotherm, qmax = 98.85mg/g for Cu and 48.85 mg/g for Zn
Optimum pH=6, qmax = 4.64 (mg/g) for Cu, K f = 0.662mmol/g
t= 180 min, Optimum pH=5, Langmuir
isotherm, qmax = 16.42 mg/g, second order,
K=0.0165, exothermic.
Optimum pH= 5.6, Freundlich isotherm,
K f = 0.021 mmol/g
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Palm kernel fibre [17]
Cassava (manihot
sculenta cranz) tuber
bark waste [19]
Sugarbeet pulp(SBP)[20]
Flyash (FA) [20]
Black carrot residues[21]
Caulerpa lentllifera[22]
Carbonate
hydroxylapatite
derived fromeggshellwaste[23]
Calymperes erosum [24]
PEI-modified biomass[25]
Indigenous isolateenterobacter sp.[26]
Exhausted coffee
grounds[27]
Sago waste [28]
Seaweeds [29]
Chitosan [30]
Cu
Cu, Zn, Cd
Cu, Zn
Cu, Zn
Cu (II), Mn
(II),Co(II), Ni(II)
Cu, Zn, Cd,Pb
Cu(II), Cd(II)
Zn (II)
Cu (II),Pb(II), Ni(II)
Cu, Pb, Cd
Cu, Zn, Cd
Cu, Pb
Zn (II)
Zn (II)
t= 60 min, Optimum pH= 5.01, second order,K= 0.1068
Langmuir isotherm , second order, K= 5.76 x
10-3 for Cu and 5.80x10-3 for Zn
Freundlich isotherm, qmax (mg/g) = 0.0024 for Cu and 0.0027 for Zn
Langmuir isotherm, qmax (mg/g) = 0.180 for Cu
and 0.170 for Zn
Optimum pH=5.25, Langmuir isotherm, qmax
(mg/g)= 8.745, first order, k= 7.0x103,endothermic
Optimum pH>6.0 for Cu and pH>6.5 for Zn
t=60 min, Langmuir isotherm, qmax = 142.86
mg/g,
Optimum pH=4, Langmuir isotherm, qmax =37.45 mg/g
t= 30 min, Langmuir isotherm
t= 24hr, Optimum pH= 3, Langmuir andFreundlich isotherms, second order, K= 0.0716
Optimum pH= 5, Langmuir isotherm
t= 24 hrs, Optimum pH= 4.5 to 5.5, Langmuir
isotherm, qmax= 12.42 mg/g second order, R 2 =0.99
Optimum pH= 5.5, Langmuir model, qmax=135.5 mg/g, second order, K= 0.0003 at 250
mg/L, endothermic
t= 6 min, Optimum pH=7,Langmuir andFreundlich isotherms, endothermic
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Experimental
Biosorbent preparation
The Erythrina variegata orientalis is a fast growing, dense, medium-large deciduous tree
growing to 15-25 m height spread over 12-15 m with 80-100 year life. The Indian coraltrees are abundantly and freely available in rural India and can be discarded without
regeneration. The analyses of the leaves indicate the presence of scoulerine, saponin,
hydrocyanic acid. Erythrinine (an alkaloid) having properties identical to those of
hypaphorine (C14H18 N2O2), (+) coreximine, l-Reticuline, erybidine [11]. The maturedleaves were collected from Andhra University College campus, Visakhapatnam. The IR
spectrum and XRD of Erythrina variegate orientalis leaf powder was indicated the
presence of hydroxyl and carboxy moities as major functional groups. The BET surface
area of the adsorbent is 22.08 m
2
/g with a cumulative volume of 7.05 mL/g at STP andmonolayer of 5.07 cm3/g[12]. These leaves were thoroughly washed with water to
remove dust and water soluble impurities. The leaves were further washed with necessarydistilled water to free them of color and turbidity. The leaves were dried under sunlight
and powdered. The dry leaf powder was sieved to different fractions (i.e. 45 μm, 75 μm,
106 μm and 212 μm) using rotap sieve shaker. These size fractions were preserved in
glass bottles for use as a biosorbent.
Preparation of stock solution
3.898 gm of 99% CuSO4.5H2O and 4.443 gm of ZnSO4.7H2O were dissolved in 1L of
distilled water to prepare 1000 mg/L of copper and zinc mixed stock solution. Samples
of different concentrations were prepared from this stock solution by appropriatedilutions. 100 mg/L of mixed solution was prepared by diluting 100 mL (containing50
mL of Cu and 50 mL of Zn) of mixed stock solution with distilled water in 1000 mL
volumetric flask up to the mark. Similarly solutions with different concentrations of Cu-Zn mixture (25 mg/L, 50 mg/L, 125 mg/L and 150 mg/L) were prepared.
Procedure
50 mL of mixed solution containing 50 mg/L of Cu and 50 mg/ L of Zn was shaken in a
250 mL conical flask and treated with 2 g/L of 45 μm size biosorbent for 30 min on an
orbital shaker at 180 rpm and 303 K. The sample was settled and filtered through aWhatman filter paper. Then the filtrate was analyzed in an Atomic Absorption
Spectrophotometer (Perkin Elmer-AA Analyst-200 (air-acetylene oxidizing flame), wave
length for Cu was 324.8 nm and wave length for Zn 213.9 nm) for final concentration of Copper and Zinc separately and the sum is as the final concentration of Cu-Zn mixture.
The same procedure was repeated to study the other parameters such as agitation time
(t), biosorbent size (d p), biosorbent dosage (w), initial concentration of Cu – Zn mixture
in the mixed solution (Co), pH of the mixed solution and temperature (T) on biosorption
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of Cu – Zn. The range of the experimental parameters investigated in this biosorption
studies are compiled in table-2.
Table- 2
Experimental parameters investigated
Parameter Values
Agitation time, t, min
Biosorbent size, d p, μm
Biosorbent dosage, w, g/LInitial concentration of Cu-Zn mixture, Co, mg/L
pH of the mixed solution
Temperature, K
1, 2, 3, 4, 5, 10, 15, 20, 25, 30, 60,
120 & 180
45, 75, 106 & 212
1, 2, 5 & 1025, 50, 75, 100, 125 & 150
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11& 12
283, 293, 303, 313 & 323
The percentage removal of copper and zinc is calculated as:
% removal = (C0-Ce) x 100/ C0 ……… (1)
where Co and Ce are the initial and final concentrations of the cu-zn in the mixed solution.The metal uptake is calculated as:
qe = {(Co- Ce) V} / w ………………… (2)
where qe is the metal uptake(mg/g), V is the volume of the mixed solution and w is the
dosage of the biosorbent.
Adsorption isotherms
Adsorption isotherm is important to develop an equation that accurately represents the
results and can be used in design of sorption systems [16]. Three adsorption models-
Freundlich, Langmuir, and Temkin were used to describe the equilibrium between
adsorbed metal ions of Cu- Zn mixture on Erythina variegate orientalis leaf powder at aconstant temperature.
According to the Freundlich equation [13], the amount of substance adsorbed per gram of adsorbent (qe) is related to the equilibrium concentration (Ce) as:
qe = K f Ce
n
…….. (3)or
log qe = n log Ce + log K f ........... (4)
where K f (mg/g) is the constant indicative of the relative adsorption capacity of the
adsorbent and ‘n’ is the constant indicative of the intensity of the adsorption.
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The Langmuir model [14], is valid for monolayer adsorption onto a surface containing a
finite number of identical sites. It is probably the most popular isotherm model due to its
simplicity and its good agreement with experimental data. It could be described by thelinearised form:
(Ce/qe) = 1/(K a qmax) +Ce/qmax …….... (5)
where qmax the maximum amount adsorbed, K a is an equilibrium adsorption constant, Ce is
the concentration of the adsorbate at equilibrium and qe is the amount adsorbed atequilibrium in unit mass of the adsorbent. By plotting a graph between C e and (Ce/qe),
qmax and K a can be determined from the slope (1/qmax) and the intercept (1/K a qmax).
The Temkin isotherm equation [15] describes the behavior of many adsorption systemson heterogeneous surface and it is based on the following equation:
qe= RT ln (atCe)/bt ……… (6)
The linear form of temkin isotherm can be expressed by Eq. (7):
qe = A+B ln Ce ……… (7)
where R is the gas constant, T absolute temperature (K), A (= RT/b t ln a t) and B (= RT/
bt) isotherm constants respectively.
Kinetics of sorption
The order of adsorbate- adsorbent interactions has been described by using various
kinetic models. In the case of adsorption preceded by diffusion through a boundary, the
kinetics in most cases follows the pseudo- first-order rate equation of Lagergren[16] :
(dqt/dt) = k ad (qe - qt) ……… (8)
where qt and qe are the amount adsorbed at time t and at equilibrium, and k ad is the rate
constant of the pseudo-first-order adsorption process. The integrated rate law, after
applying the initial condition of qt=0 at t=0, is
log (qe - qt) = log qe – (k ad /2.303) t …(9)
Plot of log (qe-qt) versus t gives a straight line for first-order kinetics, which allowscomputation of the adsorption rate constant, k ad.
The pseudo-second-order kinetics [17] may be expressed as:
dqt/dt = k (qe-qt)2 ………… (10)
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is applicable. For the boundary conditions t=0 to t=t and qt=0 to qt=qt, the integrated form
of the equation is
1/(qe-qt) = (1/qe) + kt ………… (11)
that can be written as
(t /qt) = (1/ kqe2) + (t/qe) …. (12)
If the pseudo-second order kinetics is applicable, the plot of t/qt versus t gives a linear
relationship, that allows computation of qe, k and kqe2 .
Thermodynamics of adsorption
According to Lechatelier principle, the amount adsorbed at a given concentration
decreases as temperature increases. During adsorption, physical changes like spontaneity
of adsorption and experimental results like rate constant of that particular adsorption process will be effected with the changes in three thermodynamic parameters. Enthalpy
change (∆H), entropy change (∆S) and change in Gibbs free energy (∆G) due to transfer of unit mole of solute from solution to the solid-liquid interface. These values can be
obtained by carrying out the adsorption experiments at different temperatures. The
biosorption data were obtained at temperatures (283 K, 293 K, 303 K, 313 K and 323 K).
The thermodynamic parameters for adsorption were evaluated from the well known
relation [18]:
log K = - ∆G/ (2.303RT) = - ∆H/ (2.303 RT) + (∆S/2.303 R)......... (13)
where K= qe/Ce.
Plot of log (qe/Ce) versus (1/T) yields a straight line with slope =- ∆H/ (2.303 R) and
intercept = ∆S/(2.303R).
RESULTS AND DISCUSSION
Effect of agitation time:
The equilibrium agitation time is determined by plotting the % removal of Cu-Zn against
agitation time in fig. 1 for biosorbent sizes of 45, 75, 106 and 212 μm using 0.1g (2 g/L)dosage for C0=100 mg/L. The % removal of Cu-Zn mixture is found to be very quick and
equilibrium is attained in 30 min. The percent removal for 45 μm, 75 μm, 102 μm and
212 μm sizes are 91.86%, 89.89%, 83.98% and 78.31% respectively. 20-30 min of equilibrium agitation time had been reported for the removal of Cu and Zn by cassava
tuber bark waste [19]. An equilibrium agitation time of 60min was reported for cu and zn
by the adsorbents papaya wood [1], sugar beet pulp and flyash [20], marine algal biomass
[4]. The equilibrium contact time of 30 min for Cu (II) adsorption by black carrot
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(Daucus carota L.) residue was observed by Guzel [21]. Equilibrium agitation time of 60
min was reported for copper removal by palm kernel fiber [17].
Effect of adsorbent size and dosage:
The effect of biosorbent size on % removal of Cu-Zn mixture was shown in fig.2 with %removal as a function of d p for dosages of 1, 2, 5, 10 g/L. It is observed that the %
removal of metal decreases with increase in biosorbent size. With decrease in biosorbent
size, surface area of the biosorbent increases and more number of active sites on the biosorbent are exposed to the adsorbate, resulting in increased metal uptake (qe
=9.335mg/g).The maximum removal of 93.09% was observed with 45 μm particle size at
the dosage of 10g/L with a metal uptake capacity of 9.335mg/g. The percent removal was
decreased from 86.27% to 77.20% for the adsorbent sizes 45 to 212 μm at 1g/L biosorbent dosage. Percent removal of mixture was increased from 86.27% to 93.09%
with an increase in adsorbent dosage from 1 to 10 g/L (fig. 3). The change in % removal
is very small when biosorbent dosage (w) is increased from 2 to 10 g/L (i.e., 91.86% to
93.09%). Therefore optimum biosorbent dosage of 2 g/L is used to study the remaining parameters. The adsorbent size of 75µm was used for zinc by tectona grandis L. f leaves
biomass. They revealed that the metal uptake of zinc on tectona grandis L. f leaves
decreases from 4.3866 to 3.256 mg/g with the increased particle size from 75 µm to 212
µm. It is well known that decreasing the average particle size of the adsorbent increases
the surface area, which in turn increases the adsorption capacity [9].
Effect of pH of the mixed solution:
The effect of pH on biosorption of Cu-Zn mixture is shown in fig.4 for 2 g/L of 45 µm
biosorbent size varying pH from 1 to 10. The % biosorption of Cu-Zn mixture is
increased gradually from pH
= 1 to 6 (76.5% to 89.55%) and decreased gradually beyond pH value of 6 (86.25% to 80%). At less pH values % biosorption is low because the
metal ions will compete with H+ ions for appropriate sites on the adsorbent surface.However, with increasing pH (upto neutral value), this competition weakens and metal
ions replace H+ ions bound to the adsorbent or forming part of the surface functional
groups such as OH, COOH. As pH is increased from 6, OH - ions will be increased and
these will compete with metal ions. Formation of precipitation is also observed beyond pH 8.
Apiratikul, et al [22] observed a formation of precipitation of heavy metal at pH>6 for cuand pH>6.5 for zn. The pH of 5+0.2 is used for the adsorption of Cu and Zn by green
macroalga. A pH of 5 has been fixed for the adsorption of both Cu and Zn by cassava
tuber bark waste [19]. Saeed et al [1] investigated that, at pH=5 the optimum biosorptionwas reached with 97.3% removal of Cu and 66.6% removal of Zn. Pehlivan et al [20] had
identified the maximum overall uptake of copper by SBP as 30.9mg/g at pH=5.5 and by
flyash 7mg/g at pH=5. They also reported the maximum uptake of zinc by SBP as
35.6mg/g at pH=6 and by flyash 7.84mg/g at pH=4. Kumar et al [3] reported optimum pH=5 for Cu and Zn removal with 0.1 g/L and 26.88 mg/g and metal capacity
respectively. In all the above investigations maximum removal was reported in the pH
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range of 5 to 6 for both Cu and Zn. In the present investigation, maximum removal of Cu
- Zn mixture (89.55%) was obtained at pH = 6 for 2 g/L of 45 μm size biosorbent in 100
mg/L of mixed solution.
Effect of initial concentration of Cu-Zn mixture:
Fig.5 represents the variation in biosorption of Cu-Zn mixture with initial concentration
of cu-zn mixed solution. Results from the plots indicate that the % removal of Cu-Zn
mixture is decreasing (from 92.23% to 85.99%) significantly with an increase in initialconcentration of Cu-Zn mixed solution Co from 25 mg/L to 150 mg/L. The metal uptake
capacity was increased from 11.53 mg/g to 64.49 mg/g as the concentration of mixture
was increased. The effect of initial copper ion concentration (50 to 250 mg/dm3) on
copper ion uptake onto palm kernel fiber was studied by Yuh- Shan Ho et al [17]. Theyreported that the amount of cu ions adsorbed at equilibrium increased with an increase in
initial Cu ion concentration. The removal of cu ions increased from 4.451 to 13.07 mg/g
when the initial copper ion concentration was increased from 50 to 250 mg/dm3 at pH
5.01. Lu et al [6] increased the initial zn
2+
concentration from 10 to 140 mg/L and theremoval efficiency was decreased rapidly from 99% to 65.25 % on small crab carapace
particles.
Freundlich, Langmuir and Temkin isotherms
Freundlich isotherm is drawn for the present data between log Ce and log qe in fig.6. The
resulting line has the correlation coefficient of 0.98. The following equation is obtained:
log qe = 0.790 log Ce + 0.858, R 2= 0.98 ……. (14)
The slope (n) of the above equation is 0.79 this value satisfies the condition of 0 < n< 1
indicating favorable adsorption.
Langmuir isotherm, drawn in fig.7, has good linearity correlation coefficient of 0.99
indicating strong binding of Cu-Zn mixed solution to the surface of erythrina variegata
orientalis leaf powder. The data are well correlated by the equation:
(Ce/qe) = 0.008 Ce + 0.146, R 2 = 0.99 ……… (15)
To study the suitability of Temkin isotherm, a graph is plotted between ln C e and qe in
fig.8. The resulted equation is:
qe = 22.44ln Ce - 6.44, R 2 = 0.98 …….. (16)
R 2= 0.98 indicates that the Temkin isotherm is suitable for the present study. Freundlich,
Langmuir and Temkin constants obtained in the present investigation are compiled in
table – 3.
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Table-3
Freundlich, Langmuir and Temkin constants for Cu-Zn mixed solution
Langmuir isotherm Freundlich isotherm Temkin isotherm
qmax(mg/g) k a R 2 K f N R 2 at
(L/mg)
bt R 2
125 856.16 0.99 7.095 0.79 0.98 0.75 112.26 0.98
Kinetics of biosorption:
In order to determine the order and rate of the biosorption, 50 mL of mixed solution was
taken in each of fourteen 250 mL conical flasks. 2 g/L of 45 μm size biosorbent wasadded to each sample. The contents of conical flasks were shaken in an orbital shaker for different agitation times (1, 2, 3, 4, 5, 10, 15, 20, 25, 30, 60, 120 and 180). Similar
procedure was adopted for the biosorbent dosages of 0.05 gm, 0.25 gms and 0.5 gms (1, 5
and 10 g/L) with 45 μm biosorbent size. The pseudo first order Lagergren plot of log (qe-
qt) versus agitation time (t) for biosorption of cu-zn mixture for biosorbent size of 45 μmand at different biosorbent dosages 1, 2, 5 and 10 g/L erythrina variegata orientalis leaf
powder was drawn in fig 9. The resulting equations and constants are shown in table-4.
Table -4
Lagergren equations and its coefficients
w, g/L d p, μm Equation k ad, min-1 R 2
1 45 log (qe-qt) = 0.042 t +1.36 0.096 0.99
2 45 log (qe-qt) = 0.028 t + 1.073 0.0644 0.95
5 45 log (qe-qt) = 0.0316 t+0.687 0.0727 0.95
10 45 log (qe-qt) = 0.0314 t+0.375 0.723 0.90
To identify the suitability of rate equation, the second order rate equation is applied for
the present data and the plots of (t/q t) versus‘t’ are drawn in fig. 10. The pseudo second
order model based on equation (11), considers the rate -limiting step as the formation of
chemisorptive bond involving sharing or exchange of electrons between the adsorbateand adsorbent. The second order rate equations obtained from the graph are shown in
table 5.
11
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Table-5
Pseudo-second-order equations and its coefficients
w, g/L Equation k x 104, g/(mg-min) R 2
1
2
5
10
(t/qt) = 0.011 t + 0.010
(t/qt) = 0.022t + 0.022
(t/qt) = 0.055 t + 0.054
(t/qt) = 0.109 t + 0.111
82.9
9.39
0.61
0.07
0.99
0.99
0.99
0.99
So, second order rate equation better explains the interactions of Cu-Zn mixture than the
first order rate equation as the R values are higher in case of second order rate equations.
Thermodynamics of biosorption
The biosorption data are obtained for various initial concentrations of the mixed solution
adding 2 g/L of 45µ m size adsorbent. Fig. 11 indicates that increased temperature results
in lower % removal of cu-zn mixed solution. The Vant Hoff’s plot (log (q e/Ce) as a
function of (1/T)) is shown in fig 12. The change in enthalpy (∆ H), change in
entropy(∆ S) and change in Gibbs free energy (∆ G) for Cu-Zn mixture at various
concentrations are given in table-6.
Table -6
Thermodynamic parameters for various initial concentrations
Co, Initial
concentration of
mixture, mg/L
∆ H
kJmol-1
∆ S
kJmol-1 K -1∆ G kJmol-1
283 K 293 K 303 K 313 K 323 K
50
100150
-17.23
-14.36-9.956
-44.34
-37.70-25.12
12.56
10.687.11
13.00
11.067.37
13.45
11.437.62
13.89
11.817.87
14.33
12.198.12
The above results indicate that the heat of reaction (∆H) is negative. The negative valueof ∆H value indicates the biosorption is exothermic [32]. The negative value of ΔSconfirms the reversibility of the biosorption and the gradual increase in the ΔS value with
the concentration indicates that the process is tending towards irreversibility [18]. The
spontaneity of the biosorption is demonstrated further by the increase in free energy
change with temperature. The increase in ΔG value with an increase in temperatureindicates that the biosorption of Cu-Zn mixture is less favorable at high temperatures and
also shows physical nature of the biosorption. From the above values of ∆G, ∆H and ∆S
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obtained with erythrina variegate orientalis leaf powder show that the adsorbent has the
potential to remove Cu-Zn from the mixed aqueous solutions.
CONCLUSIONS
(i) The optimum agitation time for the biosorption of Cu –Zn mixture is 30 min.
(ii) The % removal of Cu – Zn mixture in mixed solution increases with decrease in biosorbent size and increase in the biosorbent dosage.
(iii) The increase in the initial concentration of Cu - Zn mixture results in a decrease in %
removal of Cu - Zn mixture.
(iv) The % biosorption of cu-zn mixture is increased gradually from pH = 1 to 5.5 and
decreased gradually beyond pH value of 5.5.
(v) The biosorption data are well fitted to Freundlich, Langmuir and Temkin isotherms.
(vi) The kinetics of biosorption of Cu -Zn mixture by erythrina variegata orientalis leaf
powder is well described by second order kinetics than the first order kinetics.
(vii) The percentage removal of Cu -Zn mixture decreases with increase in temperature.
(viii) The negative value of ∆H value indicates the biosorption is exothermic. The
negative value of ΔS confirms the reversibility of the biosorption and the gradualincrease in the ΔS value with the concentration indicates that the process is tending
towards irreversibility. The increase in ΔG value with an increase in temperature
indicates that the biosorption of Cu-Zn mixture is less favorable at hightemperatures.
NOMENCLATURE
Ce Equilibrium concentration of Cu – Zn mixture, mg/L
Co Initial concentration of mixed solution comprising of
copper and zinc, mg/L
Cco Initial concentration of copper in the mixed solution, mg/L
Czo Initial concentration of zinc in the mixed solution, mg/L
d p Biosorbent size, µm
∆G Change in Gibbs free energy, kJ /mole
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∆H Enthalpy change J/mole
k ad First order rate constant for Cu – Zn mixture, min-1
k Second order rate constant for the Cu – Zn mixture,
g/(mL-min)
K f Freundlich coefficient for Cu – Zn mixture, mg/g
K a Langmuir biosorption constant
K Thermodyanamic constant(qe/Ce)
n Freundlich coefficient for Cu – Zn mixture
qe Amount of Cu – Zn mixture adsorbed per unit mass of
biosorbent at equilibrium, mg/gm
qt Amount of Cu – Zn mixture adsorbed per unit mass of biosorbent at time t (min), mg/gm
qmax Langmuir monolayer capacity, mg/gm
R 2 Correlation Coeffitient
R Universal gas constant, 8.314 J / mole. K
∆S Entropy change, kJ /mole-K
T Absolute temperature, K
t Agitation time, min
V Volume of mixed solution, mL
w Biosorbent dosage, g/L
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0 20 40 60 80 100 120 140 160 180 200
50
60
70
80
90
100
45
75
102
212
Fig. 1 Influence of agitation time on % removal of Cu-Zn mixture
Agitation time, t, min
%
r e m o v a l o f C u - Z n m i x t u
r e
w = 2 g/LV = 50 mLC
o= 100 mg/L
Cco= Czo= 50 mg/L
pH = 5.5
dp, µm
20 40 60 80 100 120 140 160 180 200 220 240
% r
e m o v a l o f C u - Z n m i x t u r e
75
80
85
90
95
1
2
5
10
Fig. 2 Variation of % removal of Cu-Zn mixture with biosorbent size
Biosorbent size, dp, µm
w, g/L
t = 30 minV = 50 mLC
o= 100 mg/L
Cco= Czo= 50 mg/L
pH = 5.5
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0 2 4 6 8 10 12
86
88
90
92
94
96
Biosorbent dosage, w, g/L
%
r e m o v a l o f C u - Z n m i x t u r e
Fig. 3 Influence of biosorbent dosage on % removal of Cu-Zn mixture
t = 30 minV = 50 mLCo= 100 mg/L
Cco= Czo= 50 mg/L
dp = 45 µm
pH = 5.5
0 2 4 6 8 10 12
74
76
78
80
82
84
86
88
90
92
pH of mixed solution
%
r e m o v a l o f C u - Z n m i x t u r e
Fig.4 Effect of pH of mixed solution on % removal of Cu-Zn mixture
w = 2 g/Lt = 30 minV = 50 mLCo= 100 mg/L
Cco= Czo= 50 mg/L
dp = 45 µm
20
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0 20 40 60 80 100 120 140 16085
86
87
88
89
90
91
92
93
Initial concentration of Cu-Zn mixture inmixed solution, Co, mg/L
% r
e m o v a l o f C u - Z n m
i x t u r e
Fig.5 % removal of Cu-Zn mixture as a function of initial concentration of Cu-Zn mixed solution
t = 30 minw = 2 g/Ld
p= 45 µm
V = 50 mL
pH = 5.5
0.2 0.4 0.6 0.8 1.0 1.2 1.4
1.0
1.2
1.4
1.6
1.8
2.0
log Ce
l o g q e
Fig.6 Freundlich isotherm for biosorption of Cu-Zn mixture
t = 30 minw = 2 g/Ldp= 45 µm
V = 50 mLpH = 5.5
l o g q e =
0. 7 9 0
l o g C e
+ 0. 8
5 1 ; R 2 =
0. 9 8 8
21
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0 5 10 15 20 25
0.14
0.16
0.18
0.20
0.22
0.24
0.26
0.28
0.30
0.32
0.34
Ce, mg/L
Fig.7 Langmuir isotherm for biosorption of Cu-Zn mixture
( C e
/ q e
) , g / L
t = 30 minw = 2 g/Ldp= 45 µm
V = 50 mLpH = 5.5
C e / q e
= 0. 0 0
8 C e
+ 0. 1 4
6 ;
R 2 = 0. 9
9
22
ln Ce
0.5 1.0 1.5 2.0 2.5 3.0 3.5
q e
0
10
20
30
40
50
60
70
Fig.8 Temkin isotherm for biosorption of Cu-Zn mixture
q e = 2 2
. 4 4 l n
C e - 6
. 4 4 ;
R 2 =
0. 9 8
t = 30 minw = 2 g/L
dp= 45 µmV = 50 mLpH = 5.5
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Fig.9 First order kinetics for biosorption of Cu-Zn mixture
t = 30 minC0=100 mg / L
dp= 45 µm
V = 50 mLpH = 5.5
Agitation time, t, min
0 5 10 15 20 25 30
-1.0
-0.5
0.0
0.5
1.0
1.5
1
2
5
10
l o g ( q
e - q t )
t = 30 minC0=100 mg/L
Cco=Czo=50 mg/L
dp= 45 µm
V = 50 mLpH = 5.5
w, g/L
Fig.10 Second order kinetics for biosorption of Cu-Zn mixture
Agitation time, t, min
0 5 10 15 20 25 30 35
t / q t
0
1
2
3
4
1
2
510
t = 30 minC0= 100 mg / L
dp= 45 µm
V = 50 mLpH = 5.5
w, g/L
R2
= 0.998
R 2 = 0.
9 9 7
R 2 =
0. 9 9 7
R
2 = 0
. 9 9 7
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280 290 300 310 320 330
78
80
82
84
86
88
90
92
94
50
100
150
Temperature, K
% r
e m o v a l o f C u - Z n m i x
t u r e
Fig. 11 Effect of temperature on % removal of Cu-Zinc mixtur for different concentrations of mixed solution
t = 30 mindp = 45 µm
w = 2 g/LV = 50 mLpH = 5.5
C0, mg/L
0.0030 0.0031 0.0032 0.0033 0.0034 0.0035 0.0036
0.3
0.4
0.5
0.6
0.7
0.8
50
100150
(1/T) X 10-3
, K-1
l o g ( q
e / C
e )
Fig.12 Effect of temperature on biosorption of Cu-Zn mixture (Van't Hoff plot)
t = 30 minw = 2 g/L
dp= 45 µmV = 50 mLpH = 5.5
C0, mg/L
l o g ( q e
/ C e ) =
0. 9 0
0 ( 1 / T ) - 2. 3
1 6 ; R
2 = 0. 9
6
l o g ( q e
/ C e ) =
0. 7 5 0 (
1 / T ) - 1.
9 6 9 ;
R 2 = 0
. 9 4
l o g ( q e
/ C e ) = 0
. 5 2 0 ( 1 / T
) - 1. 3 1 2 ;
R 2 = 0
. 9 2