Physicochemical characterization of spent oil shale: Solid state characterization
Before discussing the activity of nanosize particles in solution, physicochemical characterization results were discussed for different sizes of spent oil shale. The tests including SEM, XRF, FTIR, textural properties (SSA and porosity), particle size distribution, size effect of grinding balls, and effect grinding time on nanostructure of the resulted materials. Figure 1 depicts the electron micrographs of bulk SOS and other nanosize form, which make it possible to qualitatively estimate the size range and shape of these particles
As viewed in Fig. 1A, the particles of SOS have non homogenous and irregular shapes which resulted upon heating the oil shale up to 500 oC while extracting kerogen. Generally, the picture indicates the presence of particles with a diameter of less than 40 µm and particles much more than 40 µm. The SEM picture recorded for the finest particles (85.2 nm as measured by laser technology) indicates the clear effect of nano-grinding, as it produced relatively homogeneous particles (compared to raw material) with a diameter around 100 nm and less.
XRF and FTIR: In fact, the raw material has large amount of CaCO3 along with Si and Al oxides. Hence, removal of carbonate mineral by acid dissolution was necessary to concentrate Si and Al improve mechanical properties. For raw sample, XRF indicated that CaO, SiO2, Al2O3, and Fe2O3 were the main oxides with mass content of 41.14, 16.41, 2.56, and 1.24%, respectively. Upon acid treatment, SiO2, Al2O3, and Fe2O3 were notably increased to 33.4, 12.5 and 5.62%, respectively. The high increase in the earlier oxides was attributed to the elimination of carbonates from the solid matrix. The dissolution of carbonate mineral by acid treatment (Mashaal et al. 2021) and detection of polar surface functional groups (like Si-OH and Al-OH) which contributed to the surface charge of the adsorbent and removal of phenol can be detected by FTIR as shown in Fig. 2.
In fact, IR analysis was limited to SOS-191.8 nm as this adsorbent showed high sorption for phenol, hence detection of adsorbed solute is possible. The following IR bands were noticed in the spectrum of SOS-191.8 nm before after phenol uptake: 1011–1105, 879–881, 798–802, 709–710, 478–480 cm− 1. None of the earlier bands evidenced the presence of organic phenol on the surface but related to the structure of the material which mainly composed of Si, Al, and Fe as conformed by XRF. The strong and broad IR band located at 1011 and 1105 cm− 1 (Fig. 2A&B) with shoulders at 1161 and 1164 cm− 1 are assigned to the TO and LO modes of the Si-O-Si asymmetric stretching vibrations (Darmakkolla et al. 2016). The strong band of Si-O-Si reflected the high concentration of SiO2 in the sample which in agreement with XRF analysis. The IR bands at 881 (Fig. 2A) and 879 (Fig. 2B) cm− 1 are assigned to silanol groups. The IR bands at 798 and 802 cm− 1 were assigned to Si-O-Si symmetric stretching vibrations, while the bands (478 & 480 cm− 1) are attributed to O-Si-O bending vibrations. The bands appeared at 710 (Fig. 1A) and 709 cm− 1 (Fig. 2B) are attributed Al-O vibrations. The new IR bands that appeared upon phenol uptake (Fig. 1B) are 2530 and 2869 cm− 1 were attributed to C-H starching in the organic solute. The bands appeared at 3620 and 3697 cm− 1 (Fig. 2A) are attributed to the intense –OH stretching (in Si-OH or Al-OH) (Darmakkolla et al. 2016). The involvement of the earlier –OH groups in phenol uptake is evidenced by reduction in their intensity in the IR spectrum of used adsorbent (Fig. 2B). The broad IR band at 3346 cm− 1 may evidence the presence of adsorbed water molecules. Moreover, significant stretching band at 3346 cm− 1 also indicated the O-H phenolic hydroxyl. The band 3346 cm− 1 would support the complexation of phenol with SOS and suggests that this contribution of H-bonding during the complexation of SOS-phenol may be worth development of water adsorbent.
Influence of grinding ball size on nanonization of spent oil shale
The development of ultrafine processing forms has lately been advanced in response to the need to manage low-grade finely dispersed solid wastes (Moys 2015). Blended media or centrifugal mills, which use progressively fine media and tactics of increasing control input that are not governed by gravity, are displacing ball grinders or mills. For ultra-fine processing (i.e., down to item sizes of less than 1–10 m), these tactics proved to be basic, increasing grinding rate while also demonstrating increased power productivity (Bilgili et al. 2004). Vertical blended mills such as the MetProTech and Deswik plants are potential competitors in the industry, and flat or horizontal grinders such as the IsaMill have been built with 3 MW control requirements. He and Forssberg investigated the impact of slurry rheology on blended processing kinetics with molecule intermediate sizes as small as 4 m as part of their research (He and Forssberg 2007). At the same time, Bilgili and colleagues have achieved a nanoscale size of 30 nm, which is well within the normal nanoscale range (Bilgili et al. 2006). In the current work, nanonization of spent oil shale was accomplished using dry-milling using Planetary Mill PULVERISETTE 7. The experimental parameters for grinding process were mass ratio spent oil shale/zirconium beads, the rotor speed, and the bead size. The earlier factors can be adjusted by the instrument to achieve the optimum results, i.e, fine particle of size less than 100 nm. One of the main dry grinding parameters is the ratio (Vgrinding zone /Vvoids) and the efficiency of grinding is incensed by increasing the earlier ration (Moys 2015). A graphical presentation of mechanical milling by zirconia balls is depicted in Fig. 3.
In fact, the grinding rate in a mill is limited by the volume of the grinding zones in the mill (area b in Fig. 1). The beads are assumed to be a distance f apart, due to the presence of fine particles in the gap. Hence, the grinding zone (b) is then the circular bi-concave segment as shown in Fig. 3. The volume between the beads (d as shown in Fig. 1) is also important as it affects the final grinding efficiency. Particles outside this zone cannot be compressed by zirconia balls and hence will not be ground. It has been shown that, the ratio Vgrinding zone /Vvoids (b and d in Fig. 1) can be correlated with the diameter of particles to be grinded and beads diameter as (Moys 2015):

(1)
In fact, Eq. 1 indicated that fine particles can be generated at low size of grinding balls and this factor should be carefully selected. Hence, the size of grinding balls used for nanonization has high influence on the size if the final product. Balls of smaller size can produce finer particles due to the high contact with solid particles. D10, D50, and D90 values obtained from particle size distribution profiles are provided in Table 1 and Fig. 4.
Table 1
Estimated D values of spent oil shale after nanonization at different sizes of grinding ballsa
Spent oil shale
|
Grinding − 0.5 mm ballsc
|
Grinding − 0.1 mm ballsd
|
D value
|
Particle diameter (µm)
|
D value
|
Particle diameter (nm)
|
D value
|
Particle diameter (nm)
|
D10 b
|
43.6
|
D10
|
147.3
|
D10
|
68.3
|
D50
|
58.1
|
D50
|
189.4
|
D50
|
77.5
|
D90
|
68.1
|
D90
|
238.7
|
D90
|
109.9
|
Arithmetic mean diameter
|
56.6 µm
|
191.8 nm
|
85.2 nm
|
- Grinding time 60 min
- D10 = 43.6 indicated that 10% of particles have diameter ≤43.6 μm
- The size of zirconium balls is 0.5 mm diameter.
- The size of zirconium balls is 0.1 mm diameter.
As indicated in Table 1, spend oil shale have average particle diameter of 56.6 µm where 90% of particles has diameter less than 68.1 µm. It should be recall that laser analysis was performed for the 45–63 µm fraction which present 22% of the examined sample. The formation of fine particles of spent oil shale was attributed the exposure a high temperature (550 oC) and pressure during retorting process (Al-Saqarat et al. 2017). Thus, instead of obtaining a normal bell-shaped distribution curve for the particle size distribution of SOS (Fig. 4A), double bell-shaped curves are obtained. As indicated in Fig. 4A, the first maxima occurs at a relatively smaller range (70–140 µm) of particle diameters while the second one positioned between 160 and 240 µm. The presence of two peaks would indicate the unequal thermal distribution during grinding. In general, industrial composition of organic matters often generated restudies of diameter 0.2–90 µm. Upon mechanical crushing, the mean particle diameter of was significantly reduced and nanosize material was produced. Moreover, sample grinding by smaller beads (0.1 mm) has been significantly reduce particle diameter to 85.2 nm, which is typically fall with nanosize range 1-100 nm (Moys 2015). The interesting point was the normal bell-shaped distribution curve of the particles (Fig. 4B) that resulted upon nanonization. The normal distribution curve was expected due to the uniform grinding of the particles of spent oil shale. The best nanonization result was obtained using 0.1 mm balls with D10, D50, and D90 values of 68.3, 77.5, and 109.0 nm, respectively. The production of nanosize particles using 0.1 mm balls is attributed to high increase in the grading zone volume as indicated in Eq. 1. As can be estimated from Eq. 1, reducing the size of balls from 0.5 to 0.1 mm has been increased the grading zone 25 times which can be resulted in production of 85.2 nm particles. It seems that nanonization of the original material has been reflected on the apparent density of the material as depicted in Fig. 5.
As indicated in Fig. 3, the same mass of the material (Fig. 3A) has occupied double size after nanonization (Fig. 3B) which can reflect the high increase in surface charge upon nanonization.
Textural measurements of nanosize adsorbents and effect of grinding time
The main factors that can affect the particle size distribution of the material is grinding time (Arsoy et al. 2017). Hence, effect of grinding time on and particle size distribution and specific surface area was investigated for the particles obtained using 0.1 mm zirconia balls (Table 1). Particle size distribution including D10, D50 and D90 and specific surface area as a function with grinding time is shown in Fig. 6.
Before starting the discussion, it is important to note that effect of grinding time on the particle size distribution and surface area of the resulting particles was performed on the initial particle size of 191.8 nm (Table 1). The reason for this selection is that the particles produced using 0.1 mm balls were in the nanosize range (85.2 nm), which is important in this research. The results (Fig. 6A) showed that D10, D50, and D90 fractions were notably reduced with grinding time and over the period 20–60 min. After 60 min grinding, particle size distribution was not highly changed. Among fractions, D90 was highly reduced with size reductions of 50%, 37% and 33% for D90, D50 and D10 within the first milling hour, respectively. The large reduction in D90, i.e., the portion that containing the largest particles as shown in Table 1, can be attributed to the easier grinding of coarser particles compared to finer ones. Moreover, grinding coarser particles would insure higher grinding zone volume compared to voids area as anticipated in Eq. 1. Similar results were also obtained in literature (Arsoy et al. 2017; Liao, M. Senna 1992). The influence of grinding time on average particle diameter and specific surface area is depicted in Fig. 6B. In fact, specific surface area is a physical parameter which depends on particle size, density, and porosity of the solid material. Since the available surface area increases with decreasing particle size, an increase in surface area was observed upon grinding. As can be seen in Fig. 6B, the decrease in average particle size has been resulted in increase in the surface area of material. Highest surface area (38 m2/g) was reported at the lowest particle size (80 nm). It has been reported that specific surface area of aluminosilicate minerals would increase from 9.0 up to 24.0 m2/g (i.e., 2-fold increase) with changing particle size (Arsoy et al. 2017; Zbik and Smart 2005). Even there was no a large decrease increase particle size at longer grinding time, the surface area of grinded material kept increasing and this attributed to the nanosize structure of the grinded material. Moreover, this also be explained by conversion of closed pores into open pores and a consequent increase in the total pore volume during the grinding process (Arsoy et al. 2017; Zbik and Smart 2005). The influence of nanonization on specific surface area and porosity was studied using N2-adsorption methodology. N2-adsorption/desorption isotherms and BJH plots for SOS and 85.2 nm size are provided in Fig. 7. Moreover, physical parameters of are provided in Table 2.
Table 2
Textural parameters estimated N2 isotherms for spent oil shale and other nanonized versions
Parameter
|
Adsorbent
|
Spent oil shale
|
Grinding − 0.5 mm balls
|
Grinding − 0.1 mm balls
|
SBETa
|
16.7
|
23.5
|
36.4
|
Sextb
|
-
|
6.41
|
14.2
|
Smicc
|
16.7
|
21.8
|
25.3
|
Vtd
|
0.010
|
0.016
|
0.026
|
Vmice
|
0.010
|
0.015
|
0.018
|
Vmesf
|
-
|
-
|
0.008
|
Average pore diameter g (nm)
|
2.41
|
2.73
|
2.85
|
Arithmetic mean particle diameter
|
56.6 µm
|
191.8 nm
|
85.2 nm
|
a Specific surface area (m2/g), multipoint BET method (El-Barghouthi et al. 2007). |
b External surface area (m2/g), t-plot method) (El-Barghouthi et al. 2007). |
c Micropore surface area, t-plot method (Al-Degs et al. 2008; El-Barghouthi et al. 2007) |
d Total pore volume (cm3/g) estimated at P/Po| = 0.95 (El-Barghouthi et al. 2007). |
e Micropore volume (diameter < 2 nm) (cm3/g) estimated from Dubinin-Radushkevich method (Al-Degs et al. 2008). |
f Mesopore volume (diameter: 2–50 nm) (cm3/g) estimated at P/Po range 0.40–0.95 (Al-Degs et al. 2008).
g Barrett-Joyner-Hanlenda (BJH) method (El-Barghouthi et al. 2007).
Surface area is a physical property which depends on particle size and porosity of material. Since the available surface would increase with decreasing particle size, an increase in surface area was observed upon grinding. The increase in surface area upon grinding is attributed to the conversion of closed pores into open pores and a consequent increase in the total pore volume during the grinding process. As indicated in Fig. 7A&C, typical type-II isotherms were reported for micro and nanosize materials. Filling of micropores in both materials was achieved at low pressure P/Po ≈ 0.2. It seems that grinding particles to nanosize has relatively increased the mesoporous structure of the material as indicted from the higher adsorbed amount of N2 within the region (P/Po 0.4–0.6) with values 9.0 and 23.0 cm3/g for SOS and 85.2 nm size particles. In fact, the flatter region in the middle of the isotherm indicates the formation of a monolayer. At very low pressure, the micropores fill with nitrogen gas. At the knee, monolayer formation is beginning and multilayer formation occurs at medium pressure. At the higher pressures, capillary condensation occurs. In general, type II isotherm is often observed on non-porous solids or solids with diameter exceeding micropores and the later was the case in this work (Al-Zawahreh et al. 2021). As shown in Table 2, specific surface area of the raw material has been improved upon nanonization, more than 2-fold increase was reported upon grinding with 0.1 mm balls. Moreover, nanonization has increased external surface area, total pore volume, and little increase in mesoporosity of 0.1 mm-nanonized material. It seems that crushing the material has improved the physical surface area of the material with slight effect on the microstructure of the solid material. The estimated specific surface area of the adsorbents (density 1.12 g/cm3) and assuming spherical particle were < 1, 28.3, and 63.0 m2/g for raw, 191.8 nm size, and 85.2 nm size, respectively. Although the earlier areas were different from N2-values, they would reflect the large increase in external surface area with slight improvement in the internal structure. As indicated in Table 2 and Fig. 7B&D, the materials have microporous structure with average pore diameter of 2.41, 2.73 and 2.85 nm for SOS, 191.8 nm size, and 85.2 nm size, respectively. The slight increase in pore diameter of 85.2 nm size adsorbent would be attributed to the pores opening upon crushing. It is necessary to mention that adsorption performance of nanosize material in solution would be affected by many factors.
Sorption and aggregation behavior of SOS particles under different conditions
In fact, sorption behavior of phenol by different sizes of SOS was tested at different pHs and ionic strengths. Moreover, the results indicated that particle size has high influence on phenol retention especially for nanosize range (< 100 nm), hence, aggregation of particles was checked by measuring hydrodynamic particle size using dynamic light scattering.
Effect of pH on phenol uptake and particles aggregation
Removal of phenol was tested at wide pH range 2.0–12.0, 120 mg/L concentration, ionic strength 0–15 mM, and S/L ratio of 40 mg/50 mL and this is necessary to minimize aggregation of nanosize particles at adsorbent dosage (Jian et al. 2019; Lu et al. 2016b). Moreover, surface charge was measured for different particle sizes. The results are shown in Fig. 8.
For nanosize materials, S/L ratio should be maintained as low as possible to prevent particles aggregation (Baalousha et al. 2016) and most studies conducted sorption test over the range (10–250 mg)/50mL (Jian et al. 2019; Lu et al. 2016b; Wang et al. 2015; Wang and Shih 2011). In this work, phenol uptake was tested at S/L 10–60 mg/50mL and at 60 mg/L pollutant. In general, phenol uptake was increased and stabilized at S/L ratio of 50mg/50mL. Hence all sorption tests were performed at S/L ratio 50mg/50mL.
Although particle grinding ended up with nano size particles (Table 1), high phenol uptake was achieved at 191.8 nm but not 85.2 nm particles and this was attributed to aggregation of the later particles. However, the interesting point in Fig. 8A is that both 85.2 and 191.8 nm outperformed bulk SOS and this was attributed to the higher surface area and pore volume of the former adsorbents (Table 2). Among adsorbents, 191.8 nm-size particles achieved the best removal (35 mg/g) at pH 6.0. In fact, nanosize particles aggregates much higher than other sizes which negatively reflected on phenol uptake from solution (Baalousha 2017). In fact, the aggregation behavior of nanomaterials is highly affect with pH, ionic strength, chemistry of adsorbate and complexing agents (Jian et al. 2019). Hence, aggregation behavior of SOS-85.2 nm was examined at the same sorption conditions as shown in Fig. 8B. As indicated in Fig. 8, the particles involved high aggregation with pH and is also reported in the literature (Jian et al. 2019; Raza et al. 2016). At pH 2.0, the nanosize material has been aggregated to generate aggregates of hydrodynamic diameters H-d of 1000 nm (33%) and 3000 nm (3%). In fact, the nanosize particles encountered high aggregation in solution as H-d was increased from 85.2 to around 1000 nm at pH 2. At pH 4.5, more aggregation was observed and the average H-d was increased to 2000 nm with intensity of 60%. The high aggregation at 4.5 would be attributed to the high reduction of surface charge as this pH is very close to pHZPC. At basic medium (pH 10), the particles underwent intense aggregation with H-d of 2500 and 5000 of intensities 55 and 12%, respectively, this large increment on H-d would be attributed to the reduction in dielectric layer at high ionic solution as predicted from DELVO theory (Baalousha 2017). In general, the nanosize particles of SOS (85.2 nm) demonstrated high aggregation with pH and similar behavior was reported for certain nanomaterials (Jian et al. 2019). Accordingly, the gradual reduction in phenol uptake (Fig. 8A) for 85.2 nm with pH was attributed to aggregation of particles which supposed to reduce surface area and pore volume and adsorbent-adsorbate repulsion as will be explained later. The fate of nanomaterial in adsorption medium is dependent on particle shape, pH, ionic strength, chemistry of adsorbate (Raza et al. 2016). In fact, the aggregation behavior of nanomaterials has been tested at different pH, ionic strength, and complexing agents (Jian et al. 2019; Lu et al. 2016b; Raza et al. 2016). For instance, TiO2 nanomaterial has high stability (i.e., go not highly aggregate) at acidic pH and over a wide salt level but aggregate at neutral pH and low concentration of salt (Lu et al. 2016b). In the same line, aggregation kinetics of different nanomaterials were tested using dynamic light scattering of UV spectroscopy and published data indicating that increasing ionic strength increase the rate of aggregation of nanomaterial (Baalousha et al. 2013). Aggregation kinetics of nanomaterials is often controlled by: a) electrostatic forces among particles (diameter 1-100 nm), and b) electrostatic interferences which depends on ionic strength, solution pH, stabilizing agent of nanoparticle, and coating thickness (Raza et al. 2016; Baalousha et al. 2013). The results provided in Fig. 8A indicated that both pH and particle size have significant influence on phenol uptake. For the examined pH range, the bulk material and SOS-191.8 nm manifested the same adsorption trend and the best uptake was reported over the range (4–8) and a high reduction observed at pH > 10.0. Moreover, phenol removal at pH 2.0 was not high. Both electrostatic interaction and H-bonding were involved in solute uptake from solution. As indicated from IR spectra both Si-OH and Si-O-Si were the main surface functional groups and the ionization of the particles with pH are shown in Fig. 8C. As shown in Fig. 8C, the point of zero charge pHZPC was 4.3 and above this point the surface ionizes to carry negative charge (Si-O−) and positive charge (Si-OH2+) at pH < 4.3. pHzpc was close to pure SiO2 (4.0) and this was expected as silica making a large fraction of the material. As SOS and SOS-191.8 nm did not encounter serous aggregation at tested pHs then the mechanism of phenol retention is explained as following: a) At pH 4–8, the H-bonding between neutral phenol (pKa = 10) and polar Si-OH (especially in the range 3.5–4.5) is the dominating mechanism while above 4.5 another mechanism like van der Waals forces will dominate the process, b) At pH < 4.0, surface protonation is started and this will reduce phenol uptake via H-bonding keeping van der Waals forces the controlling mechanism, and c) pH > 10.0, surface ionization is strengthened leading to electrostatic repulsion between phenolate ions and the surface (Fig. 8). The best retention for SOS and SOS-191.8 nm was at pH 6 and hence van der Waals forces was more dominate than H-bonding. Despite the similarity in the adsorption behavior, SOS-191.8 nm removed 3.7-folds phenol from solution (Fig. 8, pH 6.0) than SOS and this thank to its finer particle size and high surface area (Table 2). In fact mechanical grinding leading to finer particles and maximize surface charge as shown in Fig. 8, the maximum surface charge was reported for 191.8 nm at pH 7.3 with a value of 150 µmol(-)/m2) which was 4 times higher than the bulk material. In summary, SOS-191.8 nm was the winner adsorbent to remove phenol as it has higher surface area compared to bulk and did not encounter serious aggregation like nanosize form (85.2 nm).
Effect of ionic strength on phenol uptake and particles aggregation
Removal of phenol was tested at different ionic strength 0–15 mM at S/L ratio 50 mg/50 mL and this is necessary to minimize aggregation of nanosize particles as mentioned earlier. The results are shown in Fig. 9.
As indicated in Fig. 9A, particle size has inconsistent effect on phenol uptake. For bulk SOS and 191.8 nm size, removal of phenol was increase upon adding KCl and no substantial effect was observed at concentration higher than 10 mM. The interesting point was observed for nanosize particles (85.2 nm) which exhibited a substantial reduction with KCl where phenol uptake went down to 15 mg/g at 15.0 mM NaCl. Another important factor that affect aggregation of nanosize particles was ionic strength as shown in Fig. 9B. Undoubtedly, the nanosize particles (56.6 nm) underwent intense aggregation in solution which increased H-d to 6000 nm at 15.0 mM and this negatively affected phenol uptake from solution (Fig. 9B). The results of dynamic light scattering (not provided) that reported for bulk and 191.8 nm did not show serious aggregation with ionic strength and this can explain their comparable behavior toward phenol uptake (Fig. 9A). In fact, effect of ionic strength on phenol removal was tested without adjusting solution pH. The equilibrium pH of solutions was within the range 3.9–4.3 and at this range both phenol (pKa 10.0) and solid particles (pHZPC 4.2) are neural form, hence the contribution of electrostatic attraction is not dominant. The earlier observation can is in agreement with literature in that aggregation of nanomaterial is highly increase with the concentration of added salt (Baalousha et al. 2013). For the bulk material (56.6 µm) and 191.8 nm particle size, the increase in phenol uptake would be attributed to the salt-effect as the salt will reduce phenol solubility and hence improve its uptake (Wang et al. 2016). The high affinity of 191.8 nm compared to the bulk one is attributed to the higher surface area/porosity (Table 1) which attract more phenol from solution.
Adsorption kinetic and isotherm
As indicated in Fig. 8B&9B, nanosize particles, although perform better than bulk material, they underwent serious aggregation at pH > 2 and ionic strength > 1.0 mM. Hence, the 191.8 nm size was picked up to assess the effect of mechanical grinding on sorption kinetics and equilibrium sorption capacity against bulk material. Sorption kinetics and equilibrium isotherms were measured to get a better picture on phenol uptake by bulk and 191.8 nm size. The results are depicted in Fig. 10 while parameters of the tested models are summarized in Tables 3&4.
As indicated in Fig. 10A, phenol uptake was higher for SOS 191.8 nm as indicated from its steeper slope over the initial time of interaction (10 min). Morover, the higher surface area of SOS 191.8 nm (Table 2) offer more contact with solution which ended up with faster equilibrium time, 60 against 180 min for the bulk material.
Table 3
Pseudo-first and pseudo-second order model parameters for phenol uptake by different sizes of oil shale. qe(exp): experimental sorption value at equilibrium (mg g− 1); qe(model): equilibrium sorption value predicted from the model (mg g− 1); k1: pseudo first order model constant (min− 1); k2: pseudo second order model constant (g mg− 1 min− 1); h sorption rate (mg g− 1 min− 1) = k2qe2; REP%: relative error of prediction.
Sorbent
|
qe(exp)
|
Pseudo-first order modela
|
Pseudo-second order modelb
|
k1
|
qe(model)
|
REP%
|
k2
|
qe(model)
|
h
|
REP%c
|
SOS 56.6µm
|
12.32
|
0.0247
|
12.19
|
2.4
|
0.0018
|
14.69
|
0.39
|
1.7
|
SOS 191.8 nm
|
37.43
|
0.0827
|
35.86
|
6.3
|
0.0029
|
39.07
|
4.43
|
1.8
|
As indicated in Table 3, kinetic curves of phenol were fairly presented by Pseudo-second order model which showed more flexibility compared to Pseudo-first order model as indicated from the lower REP% values. The magnitudes of sorption rate h, which estimated from second order model, were 0.39 and 4.43 mg g− 1 min− 1 for SOS and SOS 191.8 nm, respectively, and this jump is equivalent to an 11-fold increase in the rate of phenol sorption. Rate constants k1, estimated by Pseudo-first order model, also indicated faster uptake of phenol by SOS 191.8 nm (Table 3).
As shown in Fig. 10B, typical L-type isotherm was obtained. In solution, L-type isotherms are most typically encountered in solute sorption. The initial shape of the equilibrium curve follows the basic premise that the higher the solute concentration, the greater the adsorption capacity, until the number of possible adsorption sites is occupied. Comparable isotherm shapes were reported for phenol uptake by carbon nanomaterials (de la Luz-Asunción et al. 2015). The parameters of examined models are summarized in Table 4.
Table 4
Isotherm parameters for phenol adsorption. QL: Langmuir maximum capacity (mg g− 1); KL: Langmuir constant (L g− 1); KF: Freundlich constant (L g− 1); n: Freundlich coefficient: Qs: Sips saturation value (mg g− 1); Ks: Sips model constant; ns: Sips model exponent.
Adsorbent
|
Langmuir
|
Freundlich
|
Sips
|
QL
|
KL
|
REP%
|
KF
|
n
|
REP%
|
Qs
|
KS
|
nS
|
REP%
|
SOS 56.6µm
|
10.62
|
1.82
|
6.1
|
6.19
|
4.37
|
10.3
|
10.71
|
1.76
|
0.97
|
5.4
|
SOS 191.8 nm
|
38.36
|
2.22
|
11.2
|
21.33
|
4.92
|
12.0
|
39.29
|
1.89
|
0.88
|
7.4
|
Among tested models, Sips was the more suitable to present phenol uptake by both adsorbents with REP% 5.4–7.4. In fact Sips model is a combination of both Langmuir and Freundlich isotherms, which is often applied to predict the heterogeneity of the adsorption systems as well as to circumvent the limitations associated with the increased concentrations of the adsorbate of Freundlich model. This, in turn, leads to the production of an expression that have a finite limit at high concentration (Al-Zawahreh et al. 2021). However, both Langmuir and Sips models were fairly predicated the maximum retention of phenol from solution. The maximum saturation values, as predicted from Sips model, were 10.71 and 39.29 mg/g for SOS and SOS 191.8 nm, respectively. The performance of SOS 191.8 nm for phenol uptake (39 mg/g) was rather comparable to nanomaterial that derived from carbon with maximum retention of 31 mg/g (de la Luz-Asunción et al. 2015). In addition, the exponents of Ferundlich model (4.37 and 4.92) indicated the favorability of sorption process over the concentration range and heterogeneity of adsorbents (Al-Zawahreh et al. 2021; Al-Degs et al. 2008).