3.2. Removal of pharmaceutical and effect of operators parameters
The effect of different operator parameters was tested for two pharmaceuticals, such as initial pH, ionic strength, temperature, contact time,
The effect of flow rate was tested only with progesterone. The initial concentration was chosen according to the solubility limit of pharmaceuticals in deionized water which is 10 mg/L and 30 mg/L respectively for progesterone and ibuprofen.
3.2.1. Effect of contact time
Figure 5 shows the removal capacity of ibuprofen and progesterone by cyclodextrin-chitosan polymer at initial concentration of 10 mg/L and 30mg/L respectively for progesterone and ibuprofen, the adsorption equilibrium is reached at 180 min in case of progesterone and at 300 min for ibuprofen.
Figure 5.
Effect of contact time on pharmaceuticals adsorption onto cyclodextrin-chitosan polymer conditions : flow rate =1.5 l/h, temperature 25 °C, initial concentration of progesterone and ibuprofen respectively 10 ppm and 30 ppm; pH= 2 in case of ibuprofen and pH=7 in case of progesterone.
Figure 5.
Effect of contact time on pharmaceuticals adsorption onto cyclodextrin-chitosan polymer conditions : flow rate =1.5 l/h, temperature 25 °C, initial concentration of progesterone and ibuprofen respectively 10 ppm and 30 ppm; pH= 2 in case of ibuprofen and pH=7 in case of progesterone.
3.2.2. Effect of flow rate
The Figure 6 reveals effect of flow rate on progesterone extraction. The increase in flow rate contributes positively to progesterone removal, this fact may be attributed to the increase of transfer solute from bulk solution to solid surface and the decrease of boundary layer depth formed around the solid surface by increasing of cycle number.
Figure 6.
Effect of flow rate (F) on progesterone removal, conditions: amount of adsorbent 25 mg, temperature 25 °C, initial concentration of progesterone 10 ppm, pH= 7.
Figure 6.
Effect of flow rate (F) on progesterone removal, conditions: amount of adsorbent 25 mg, temperature 25 °C, initial concentration of progesterone 10 ppm, pH= 7.
3.2.3. Effect of initial pH
The effect of initial pH on progesterone and ibuprofen adsorption on cyclodextrin-chitosan polymer is illustrated in Figure 7. The initial pH has a significant role in the uptake of progesterone and ibuprofen.
We note a little Increase of progesterone adsorption with increasing of pH, when the pH is less than 6.5 (the pKa value of chitosan) the surface of the polymer is charged positively because the amino group available inside the cyclodextrin-chitosan polymer corresponding to chitosan are protonated, for pH high 6.5 the polymer surface is uncharged
which is favorable to the progesterone adsorption because it is a neutral molecule and is undissociated under pH, these results confirm that chitosan available in cyclodextrin-chitosan polymer play a crucial role in progesterone adsorption by forming electrostatic binding between the two species.
The ibuprofen removal decreases with increasing of initial pH, for pH higher than pK
a of the ibuprofen 4.91 [
27,
28,
29,
30], the molecule will be deprotonated and it becomes negatively charged and the adsorption decreases due to its negative charge, which is unfavorable for the formation of an inclusion complex with cyclodextrins, and because of electrostatic repulsion with negative charge of acidic groups in cyclodextrin polymer formed in basic pH.
The removal efficiency is recorded at acidic pH, which confirms that the main mechanism of ibuprofen removal is the inclusion complex formation, between ibuprofen and cyclodextrins. Chitosan seems do not have significant role in ibuprofen adsorption.
Figure 7.
Effect of pH on pharmaceuticals adsorption, conditions: adsorbent amount = 25 mg, flow rate =3 l/h, temperature 25 °C, initial concentration of progesterone and ibuprofen respectively 10 ppm and 30 ppm.
Figure 7.
Effect of pH on pharmaceuticals adsorption, conditions: adsorbent amount = 25 mg, flow rate =3 l/h, temperature 25 °C, initial concentration of progesterone and ibuprofen respectively 10 ppm and 30 ppm.
3.2.4. Effect of ionic strength
The influence of ionic strength on adsorption of the two pharmaceuticals is shown in Figure 8.
In case of progesterone ionic strength seems do not have significant effect (a slight decrease), because it is a neutral molecule.
For ibuprofen the extraction increases with ionic strength, this effect may be attributed to the screen of the negative charge in ibuprofen molecule and the solubility decrease, which is favorable to the formation of electrostatic interactions and inclusion complexes between cyclodextrins and ibuprofen.
3.2.5. Effect of temperature
Removal of progesterone with cyclodextrin-chitosan polymer decreases as temperature increases (Figure 9), the removal amount is maximal at room temperature (20 °C), however, in case of ibuprofen his removal increases with temperature this effect is due to increasing rates of adsorbate intraparticle diffusion into the pores of adsorbent at higher temperature due to the pores expanding of the polymer or creation of new actives sites.
Figure 8.
Effect of NaCl concentration on pharmaceuticals removal, conditions: amount of adsorbent = 25 mg, flow rate =3 l/h, temperature 25 °C initial concentration of progesterone and ibuprofen are respectively 10 ppm and 30 ppm, pH =2 in case of ibuprofen and pH= 7 in case of progesterone.
Figure 8.
Effect of NaCl concentration on pharmaceuticals removal, conditions: amount of adsorbent = 25 mg, flow rate =3 l/h, temperature 25 °C initial concentration of progesterone and ibuprofen are respectively 10 ppm and 30 ppm, pH =2 in case of ibuprofen and pH= 7 in case of progesterone.
Figure 9.
Effect of temperature (T) on pharmaceuticals, conditions: adsorbent amount is 25 mg, flow rate =3 l/h, initial concentration of progesterone and ibuprofen respectively are 10 ppm and 30 ppm, pH =2 in case of ibuprofen and pH= 7 in case of progesterone.
Figure 9.
Effect of temperature (T) on pharmaceuticals, conditions: adsorbent amount is 25 mg, flow rate =3 l/h, initial concentration of progesterone and ibuprofen respectively are 10 ppm and 30 ppm, pH =2 in case of ibuprofen and pH= 7 in case of progesterone.
3.3. Thermodynamic study
Thermodynamic parameters are determined such as, entropy (ΔS) and enthalpy (ΔH),. The temperature-dependence of the distribution coefficient, allows deduction of these parameters by plotting of ln(K
d) versus 1/ temperature.
With:
qe: Adsorbent amount of the solute at equilibrium (mg/g).
Ce : Concentration of the solute at equilibrium (mg/L).
C0: initial concentration of the solute.
The free energy change can be obtained from the following formula:
The free energy change can be also expressed as follow:
This is Vant Hoff s’ law.
Figure 10 illustrates ln Kd plotted versus the inverse of absolute temperature (T), the plots are a good linear regression, it lets us to deduct thermodynamic parameters with precision.
The slope A and the intercept B of the resulting straight line can be calculated from the relationship:
These are used for determine enthalpy changes (ΔH0) and the entropy changes (ΔS0).
Then the free energy changes can be obtained from the equation (5).
The thermodynamic parameters calculated are summarized in Table 2, the positive value of enthalpy for progesterone indicates that adsorption process on cyclodextrin-chitosan polymer is endothermic; the negative value of the enthalpy in case of ibuprofen indicates the exothermic process.
The positives values of the entropy for the two pharmaceuticals show that the adsorbed molecules on the cyclodextrin-chitosan polymer surface are organized in a more random fashion compared to those in the aqueous phase [
31].
Table 2.
Thermodynamic parameters of ibuprofen and progesterone adsorption on cyclodextrin-chitosan polymer.
Table 2.
Thermodynamic parameters of ibuprofen and progesterone adsorption on cyclodextrin-chitosan polymer.
Molecule |
C0(mg/l) |
T (K°) |
ΔH° (J/mol) |
ΔS◦ (J∕◦K.mol) |
Progesterone |
10 |
296 |
38.2319 |
18.5077 |
305 |
315 |
325 |
Ibuprofen |
|
296 |
|
|
30 |
305 |
-2.7103 |
4.4770 |
|
315 |
|
|
|
325 |
|
|
Figure 10.
Vant’Hoff plots of lnKd versus 1/ T for (a) progesterone, (b) ibuprofen.
Figure 10.
Vant’Hoff plots of lnKd versus 1/ T for (a) progesterone, (b) ibuprofen.
3.4. Adsorption kinetic study
Adsorption kinetic gives information about adsorption quantity and velocityof the adsorption. Pseudo-second and pseudo-first order models, were utilized to study progesterone and ibuprofen adsorption on cyclodextrin-chitosan polymer.
In case of pseudo first order, Lagergren’s rate equation is one of the most utilized to describe the rate of adsorption [
32].
k
1 (min
−1) is the pseudo first order adsorption rate coefficient.
For the boundary conditions at (t=0, Q
t =0) and (t = t, q
t = q
t ), the integration of the equation (7) gives the equation (8).
q
e : amount adsorbed per unit mass at equilibrium;
qt : amount adsorbed per unit mass at any time t;
The second order kinetic is described by the following equation [
29,
32]:
k
2 is the second order rate coefficient.
The integration and application of the boundary conditions (q
t=0 at t=0 and q
t=q
t at t=t) give a linear form (equation 10).
The integral form of the model, represented by the equation (10) predicts that the ratio of the time/adsorbed amount (t/q
t ) should be a linear function of time [
32].
The validity of each model could be checked by the linear regression value (correlation coefficient, R
2) and a normalized standard deviation Δq (%) which can be obtained by the following equation [
32]:
q
exp : the experimental adsorbed amount per adsorbent mass at equilibrium;
qcal : the calculated adsorbed amount per adsorbent mass at equilibrium;
n is the number of data points.
The regression coefficient (R2) in case pseudo-first order model is 0.856 and 0.672 respectively for progesterone and ibuprofen, results represented in Table 3 and Table 4 show the low regression coefficient (R2 ) and the high values of Δq (%) which denote the invalidity of the model.
The pseudo-second order model is substantially applicable for adsorption kinetics of cyclodextrin-chitosan polymer toward ibuprofen and progesterone, because of the low values of Δq and high regression coefficients R2 (Figure 11, Table 3 and 4).
The higher goodness of fitting for the pseudo-second order model could be ascribed to the nature of cyclodextrin-chitosan polymer with multiple adsorption sites, which are responsible to different adsorption steps [
33]. This model indicates the dependence of the adsorption process on both adsorbent and adsorbate proprieties.
Adsorption phenomena occur in general, in three consecutive stages:
The last stage is very speed. Therefore, the solute adsorption on adsorbent may be governed by film diffusion process and/or intraparticle diffusion [
32].
An intraparticle diffusion model proposed by Weber-Morris [
32] is expressed as follows:
q
t (mg/g) : the adsorbed amount at time t (min);
ki (mg g-1 min-1/2) : the intraparticle diffusion rate constant;
C : the intercept.
If the plot of q
t versus t
1/2 is a straight line, the adsorption process follows the intraparticle diffusion model [
32].
Using the equation (12), the graph of adsorbed amount (qt ) versus t1/2 for intraparticle transport of ibuprofen and progesterone on cyclodextrin-chitosan polymer were drawn (Figure 11). We constate that the plots don’t give a single straight line, they shown a multilinearity which indicated a multi-step process, the initial linear portion for about 45 min and 120 min for respectively progesterone and ibuprofen, are the gradual adsorption stage, this shows the application the intraparticle diffusion model.
The horizontal linear portion representes the system at equilibrium [
34].
Because the plots don’t represent a single straight line and they don’t pass by the origin, we may say that intraparticle diffusion is not the stage governing the kinetics [
32].
The liquid film diffusion model is represented by the following equation :
F is the fractional attainment of equilibrium it equals qt/qe,and kfd (min−1) is the film diffusion rate coefficient.
If the plot of −ln (1−F) versus time t is straight line with zero intercept, we can say that the film diffusion through the liquid film controls the adsorption process [
32].
The ibuprofen and progesteroneadsorption on cyclodextrin-chitosan polymer is also not governed by film diffusion, because the plots (plots not showed) have not zero intercept, for this the film diffusion is not the rate-determining step.
Kinetics of ibuprofen and progesterone adsorption is also studied by testing the Elovich model, for this model the solid surface of the adsorbent is energetically heterogenous, and the interaction between the adsorbates molecules don’t affect the adsorption kenitic [
32].
The Elovich Equation [
32] has been used in the form:
α and β are the Elovich coefficient,.
The linear form of the equation (14) is given by [
31]:
The high values of regressions coefficients (R2) and the low values of Δq (%) for the two pharmaceuticals indicate that Elivoch equation is applicable for adsoption kinetics modelling of progesterone and ibuprofen, this is shown respectively in Table 3 and 4.
Table 3.
Results of R2, k and Δq (%) for different equations used to model the kinetic extraction of progesterone by cyclodextrin-chitosan polymer. .
Table 3.
Results of R2, k and Δq (%) for different equations used to model the kinetic extraction of progesterone by cyclodextrin-chitosan polymer. .
Equation |
(8) |
(10) |
(12) |
(13) |
(15) |
R2
|
0.856 |
0.9998 |
0.856 |
0.963 |
0.932 |
k (g mg-1min-1) |
- |
0.0020 |
- |
- |
- |
Δq (%) |
95.08 |
0.52 |
41.26 |
- |
9.53 |
Table 4.
Results of R2, k and Δq (%) for different equations used to model the kinetic extraction of ibuprofen by cyclodextrin-chitosan polymer.
Table 4.
Results of R2, k and Δq (%) for different equations used to model the kinetic extraction of ibuprofen by cyclodextrin-chitosan polymer.
Equation |
(8) |
(10) |
(12) |
(13) |
(15) |
R2
|
0.692 |
0.9997 |
0.7270 |
0.6920 |
0.8300 |
k (g mg-1min-1) |
- |
0.0003 |
- |
- |
- |
Δq (%) |
85.87 |
5.94 |
- |
- |
8.91 |
Figure 11.
Curve-fitting plot of (a1) and (a2) pseudo-second order model for adsorption kinetics respectively of progesterone and ibuprofen, progesterone (b1) and ibuprofen (b2) Curve-fitting plot of intraparticle model.
Figure 11.
Curve-fitting plot of (a1) and (a2) pseudo-second order model for adsorption kinetics respectively of progesterone and ibuprofen, progesterone (b1) and ibuprofen (b2) Curve-fitting plot of intraparticle model.