3.2. Effect of pH on Adsorption of Cr(VI) and Cr(III)
Figure 3 shows that HGCTS adsorbed Cr(VI) strongly under acid conditions. The adsorption efficiency of Cr(VI) achived its maximum value (97%) at pH 4.0, whereas the adsorption efficiency of Cr(III) was 5%. Thus, at pH 4.0, the separation of Cr(VI) and Cr(III) could be realized.
The adsorption mechanism of Cr(VI) on chitosan and its derivatives is electrostatic attraction and ion exchange, whereas which of Cr(III) is chelation [
26]. The Cr(III) cation has an empty orbit, and the amine group on HGCTS has an isolated pair of electrons, so when HGCTS reacts with Cr(III), a chelated complex was formed by coordination. In acid solutions, Cr(VI) exists mainly as HCrO
4– and Cr
2O
72–, which have negative charges. Amido groups on HGCTS react with H
+, producing –NH
3+, groups which adsorb Cr(VI) anion strongly through electrostatic attraction. When Cr(VI) anion reaches the surface of HGCTS, an ion exchange reaction occurred, that could be represented as follows:
Figure 3.
Effect of pH on the adsorption of Cr(VI) and Cr(III).
Figure 3.
Effect of pH on the adsorption of Cr(VI) and Cr(III).
On the other hand, more than 90% of the active sites of CTS are protonated in the low pH range [
26], the chelation of Cr(III) becomes weak, and the adsorption of Cr(III) is less probable. The observed decrease in the uptake value of Cr(VI) at pH < 4.0 may be attributed to the higher concentration of Cl
- which competes with the chromate anions’ interaction with the protonated amine active sites [
25]. Above pH = 4.0, the adsorption efficiency of Cr(VI) decreases as pH increases. This may be explained on the basis of the lower extent of protonated amido groups with rising pH.
3.3. Kinetic Studies
The kinetic study results show that the adsorption of Cr(VI) on HGCTS increased with increasing contact time and attained equilibrium at about 80 min. In order to investigate the adsorption kinetic process, the pseudo first-order and pseudo second-order kinetic models were applied in this study. The pseudo first-order model is expressed as [
27]:
where q
e and q
t (mg/g) are the amounts of Cr(VI) adsorbed on HGCTS at equilibrium and at time t, respectively, and k
1 is the pseudo first-order rate constant (min
−1) of adsorption. The rate constant, k
1 and correlation coefficient, R
2 were determined by plotting log(q
e−q
t)
versus t. The pseudo second-order model is expressed as [
28]:
where k
2 is the pseudo second-order rate constant(g mg
−1 min
−1) of adsorption. The rate constant, k
2 and correlation coefficient, R
2 were determined by plotting t/q
t versus t. The kinetic models for Cr(VI) adsorption are shown in
Figure 4 and
Figure 5. The parameter values of the kinetic models are presented in
Table 3. According to
Figure 4 and
Figure 5 and based on the correlation coefficients in
Table 3, the pseudo second-order model could better describe the adsorption of Cr(VI) on HGCTS than the pseudo first-order model. This suggests that the rate-limiting step may be chemical adsorption [
16].
Figure 4.
Pseudo first-order kinetic plots for the adsorption of Cr(VI).
Figure 4.
Pseudo first-order kinetic plots for the adsorption of Cr(VI).
Figure 5.
Pseudo second-order kinetic plots for the adsorption of Cr(VI).
Figure 5.
Pseudo second-order kinetic plots for the adsorption of Cr(VI).
Table 3.
Kinetic parameters for Cr(VI) adsorption on HGCTS.
Table 3.
Kinetic parameters for Cr(VI) adsorption on HGCTS.
Metal ion | Pseudo first-order | Pseudo second-order |
---|
k1 (min−1) | R2 | k2 (g mg−1 min−1) | R2 |
---|
Cr(VI) | 0.063 | 0.9935 | 0.0016 | 0.9983 |
3.4. Adsorption Isotherm of Cr(VI) on HGCTS
Figure 6 shows the adsorption isotherm of Cr(VI) on HGCTS and the maximum adsorption capacity is about 205 mg/g. The experimental data in
Figure 6 were treated by the Langmuir and Freundlich equations to examine the relation between sorption and metal ion concentration at equilibrium. The Langmuir model, which is widely used for monolayer sorption on a surface, is presented as:
where Qe (mg/g) is the adsorption capacity of Cr(VI) at equilibrium concentration, Q (mg/g) is the maximum adsorption capacity, Ce (μg/mL) is the equilibrium concentration of Cr(VI), b (mL/μg) is the Langmuir constant. Q and b can be calculated by plotting Ce/Qe versus Ce. For the Langmuir model, it is estimated by a dimensionless separation factor whether the sorption is favorable or not. The separation factor, RL is defined as:
where C0 (μg/mL) is the initial concentration of Cr(VI), b (mL/μg) is the Langmuir constant. Values of 0 < RL < 1 indicates that the sorption is favorable. The values of RL in this study lie in the range of 0.017 and 0.148 for Cr(VI), which shows that the adsorption of Cr(VI) on HGCTS is favorable.
Figure 6.
Adsorption isotherm of Cr(VI) on HGCTS.
Figure 6.
Adsorption isotherm of Cr(VI) on HGCTS.
The Freundlich model, which is widely used for sorption on a heterogeneous surface, is given by:
where K
F and n are Freundlich constants related to adsorption capacity and intensity, respectively. K
F and n can be determined from a linear plot of logQ
e versus logC
e. The constants of two model along with correlation coefficient (R
2) values are presented in
Table 4. It is found that the Langmuir model fit the data better than the Freundlich model, which indicates that the adsorption of Cr(VI) on HGCTS is a type of monolayer sorption.
Table 4.
Parameters of Langmuir and Freundlich models for Cr(VI) adsorption.
Table 4.
Parameters of Langmuir and Freundlich models for Cr(VI) adsorption.
Temperature(°C ) | Langmuir model | Freundlich model |
---|
Q (mg/g) | b (mL/ug) | R2 | KF (mg/g) | n | R2 |
---|
25 | 204 | 2.88 | 0.9978 | 147.2 | 7.34 | 0.9672 |
35 | 189 | 1.61 | 0.9912 | 122.5 | 5.75 | 0.9720 |
45 | 181 | 1.19 | 0.9852 | 100.5 | 4.29 | 0.9848 |
To obtain the thermodynamic parameters of the adsorption, the values of b at different temperatures were processed according to van’t Hoff equation:
where ∆H° and ∆S° are enthalpy and entropy changes, respectively, R is the universal gas constant (8.314 J/mol·K) and T is the absolute temperature (in Kelvin). Plotting lnb against 1/T gives a straight line with slope and intercept equal to –∆H°/R and ∆S°/R, respectively. Gibbs free energy of adsorption (∆G°) was calculated by the following equation:
The values of ∆H°, ∆S° and ∆G° are given in
Table 5. The negative values of ∆H° indicate the adsorption process is exothermic and the negative values of ∆G° show that it is spontaneous.
Table 5.
Thermodynamic parameters for Cr(VI) adsorption.
Table 5.
Thermodynamic parameters for Cr(VI) adsorption.
Temperature (°C) | ∆H° (kJ/mol) | ∆G° (kJ/mol) | T∆S° (kJ/mol) |
---|
25 | −24.58 | −22.71 | −1.87 |
35 | −24.58 | −21.96 | −2.62 |
45 | −24.58 | −21.21 | −3.37 |
3.6. Characteristics and Application of the Proposed Method
Under the optimal experimental conditions, the ten replicates of the blank solution were determined. The detection limit, based on three times the standard deviation of the blank, was 20 ng/L and the relative standard deviation was 1.2% (n = 6).
Table 7 compares the adsorption capacity of HGCTS used in this method with other adsorbents reported in the literature. From these sources, we can see that the adsorption capacity of HGCTS is comparable to those adsorbents reported in the literatures.
Table 7.
Comparison of adsorption capacity for Cr(VI) on HGCTS with other adsorbents.
Table 7.
Comparison of adsorption capacity for Cr(VI) on HGCTS with other adsorbents.
Adsorbents | Adsorption Capacity (mg/g) | Refs |
---|
GCCTS | 215 | [26] |
Fe-CCTS | 295 | [29] |
MCCTS | 150 | [25] |
HGCTS | 205 | This work |
Table 8.
Speciation of Cr(VI) and Cr(III) in environmental water samples (n = 3).
Table 8.
Speciation of Cr(VI) and Cr(III) in environmental water samples (n = 3).
Water Samples | Cr(VI) (μg/L) | Cr(III) (μg/L) |
---|
Found | Spiked | Recovered | Recovery (%) | Found | Spiked | Recovered | Recovery (%) |
---|
Pond water | 4.210 | 0.20 | 4.420 | 105 | 0.880 | 0.20 | 1.084 | 102 |
Lake water | 2.250 | 0.20 | 2.458 | 104 | 0.420 | 0.20 | 0.618 | 99 |
Tap water | 0.410 | 0.20 | 0.612 | 101 | 0.150 | 0.20 | 0.352 | 101 |
In order to apply the proposed method, speciation of Cr(VI) and Cr(III) in some environmental water samples (the pH value of water sample was adjusted to 4.0), including pond water, lake water, and tap water from Jiujiang University, China, were determined. At the same time, in order to validate the accuracy of the proposed method, different amounts of chromium were spiked in these environmental water samples. The results are given in
Table 8. Good agreement was obtained between the added and the determined Cr(VI) and Cr(III) types. The recovery values calculated for the standard additions were in the range of 99–105%. The proposed method could thus be applied successfully for the separation and speciation of trace amounts of chromium in environmental water samples.