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Adsorption of Tetracycline and Sulfadiazine onto Three Different Bioadsorbents in Binary Competitive Systems

Cela Dablanca, Raquel; Conde Cid, Manuel; Coelho, Gustavo Ferreira; Arias Estévez, Manuel; Fernández Calviño, David; Núñez Delgado, Avelino; Fernández Sanjurjo, María J.; Álvarez Rodríguez, Esperanza

Abstract

Different antibiotics contained in manure, slurry, wastewater or sewage sludge are spread into the environment. The harmful effects of these antibiotics could be minimized by means of immobilization onto bioadsorbent materials. This work investigates the competitive adsorption/desorption of tetracycline (TC) and sulfadiazine (SDZ) onto pine bark, oak ash and mussel shell. The study was carried out using batch-type experiments in binary systems (with both antibiotics present simultaneously), adding 5 equal concentrations of the antibiotics (between 1 and 50 µmol L−1). The adsorption percentages were higher for TC (close to 100% onto pine bark and oak ash, and between 40 and 85% onto mussel shell) than for SDZ (75–100% onto pine bark, and generally less than 10% on oak ash and mussel shell). Pine bark performed as the best adsorbent since TC adsorption remained close to 100% throughout the entire concentration range tested, while it was between 75 and 100% for SDZ. Desorption was always higher for SDZ than for TC. The results of this study could be useful to design practices to protected environmental compartments receiving discharges that simultaneously contain the two antibiotics here evaluated, and therefore could be relevant in terms of protection of the environment and public health

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processes Article Adsorption of Tetracycline and Sulfadiazine onto Three Different Bioadsorbents in Binary Competitive Systems Raquel Cela-Dablanca 1, Manuel Conde-Cid 2, Gustavo Ferreira-Coelho 1, Manuel Arias-Estévez 2, David Fernández-Calviño 2, Avelino Núñez-Delgado 1,* , María J. Fernández-Sanjurjo 1 and Esperanza Álvarez-Rodríguez 1   Citation: Cela-Dablanca, R.; Conde-Cid, M.; Ferreira-Coelho, G.; Arias-Estévez, M.; FernándezCalviño, D.; Núñez-Delgado, A.; Fernández-Sanjurjo, M.J.; ÁlvarezRodríguez, E. Adsorption of Tetracycline and Sulfadiazine onto Three Different Bioadsorbents in Binary Competitive Systems. Processes 2021,9, 28. https://dx. doi.org/10.3390/pr9010028 Received: 30 November 2020 Accepted: 22 December 2020 Published: 24 December 2020 Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. Copyright: © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This articleisan open accessarticledistributed under the terms and conditions of the CreativeCommonsAttribution(CCBY) license(https://creativecommons.org/ licenses/by/4.0/). 1Department of Soil Science and Agricultural Chemistry, Engineering Polytechnic School, Universidade de Santiago de Compostela, 27002 Lugo, Spain; [email protected] (R.C.-D.); [email protected] (G.F.-C.); [email protected] (M.J.F.-S.); [email protected] (E.Á.-R.) 2Department of Plant Biology and Soil Science, Faculty of Sciences, Campus Ourense, Universidade de Vigo, 32004 Ourense, Spain; [email protected] (M.C.-C.); [email protected] (M.A.-E.); [email protected] (D.F.-C.) *Correspondence: [email protected]; Tel.: +34-982-823-140 Abstract: Different antibiotics contained in manure, slurry, wastewater or sewage sludge are spread into the environment. The harmful effects of these antibiotics could be minimized by means of immobilization onto bioadsorbent materials. This work investigates the competitive adsorption/desorption of tetracycline (TC) and sulfadiazine (SDZ) onto pine bark, oak ash and mussel shell. The study was carried out using batch-type experiments in binary systems (with both antibiotics present simultaneously), adding 5 equal concentrations of the antibiotics (between 1 and 50 µ mol L −1 ). The adsorption percentages were higher for TC (close to 100% onto pine bark and oak ash, and between 40 and 85% onto mussel shell) than for SDZ (75–100% onto pine bark, and generally less than 10% on oak ash and mussel shell). Pine bark performed as the best adsorbent since TC adsorption remained close to 100% throughout the entire concentration range tested, while it was between 75 and 100% for SDZ. Desorption was always higher for SDZ than for TC. The results of this study could be useful to design practices to protected environmental compartments receiving discharges that simultaneously contain the two antibiotics here evaluated, and therefore could be relevant in terms of protection of the environment and public health. Keywords: antibiotics; competitive sorption; retention/release; sorbents 1. Introduction Antibiotics are widely used for the treatment of infectious diseases, both in humans and animals, but in addition, these drugs are administered in intensive livestock production systems to prevent infections, and in some countries, they are also used as promoters of animal growth [ 1 – 5 ]. Cycon et al. [ 2 ], analyzing the situation in 75 countries, indicated that between the years 2000 and 2015, the consumption of antibiotics increased by 65%, and predictions indicate that, on a global scale, in 2030, the consumption of antibiotics will be 200% higher than that in 2015. The fact that antibiotics are discharged into the environment has led to their presence being detected in soils, waters and crops [ 4 – 7 ]. The reason is that antibiotics are not completely metabolized by humans and animals, and a high percentage of the administered drug is released as the parent compound through feces and urine, discharging into domestic wastewater and into the pits where slurries/manures are deposited [ 2 ]. The use of sewage sludge and animal slurries as fertilizers, as well as the irrigation of farmland with wastewater, has traditionally generated risks of chemical and microbiological contamination [ 8 , 9 ] and can lead to the introduction of antibiotics into the soil, and subsequently could be transferred to surface and groundwater, as well as to crops [ 5 , 10 ]. These pollutants can also Processes 2021,9, 28. https://dx.doi.org/10.3390/pr9010028 https://www.mdpi.com/journal/processes Processes 2021,9, 28 2 of 14 reach waterbodies from aquaculture facilities and through wastewater effluents because many conventional treatments do not effectively remove these compounds [ 1 ]. All this implies serious environmental problems, one of the most worrying being the proliferation of bacteria resistant to antibiotics and the spread of genes resistant to antibiotics, which reduce the effectiveness of these drugs to effectively fight against pathogenic bacteria causing diseases in humans and animals [ 5 , 10 ]. To prevent environmental contamination due to these emerging pollutants, different procedures have been used, trying to get their degradation or removal, including techniques such as filtration, coagulation, flocculation, advanced oxidation processes, membrane processes, and combined methods [ 11 ]. Many of these methods are effective but expensive, and some of them generate products that lead to secondary contamination [ 11 ]. Therefore, it is necessary to further investigate low-cost strategies that are effective in minimizing environmental pollution due to antibiotics. In this line, bioadsorbent materials have been used in recent years, investigating their ability to retain these compounds. In previous studies, our team studied three abundant and low-cost byproducts (pine bark, oak ash, and mussel shell) regarding their ability to adsorb tetracyclines (TCs) and sulfonamides (SAs), working in individual systems (with a single antibiotic added in each experiment). The results indicated that pine bark could be used to effectively immobilize these pollutants due to its high adsorption and low desorption capacities [12]. Despite the fact that antibiotics of these two groups (tetracyclines and sulfonamides) are widely used in veterinary medicine [ 6 , 13 ] and can be present simultaneously in discharges that reach soils and water bodies, there is a lack of studies on the characteristics of their eventual competition for adsorption sites in different soils and bioadsorbents [13]. In view of this, the objective of this work is to shed light on the eventual competition for adsorption sites of the bioadsorbents pine bark, oak ash and mussel shell, taking place between tetracycline (TC) and sulfadiazine (SDZ). To do this, batch-type adsorption/desorption experiments were carried out in binary systems (with both antibiotics present simultaneously). The results of the research could be useful to design systems or management strategies/alternatives for the treatment of pollution affecting environmental compartments where both antibiotics are spread simultaneously, which can also be considered relevant at the public health level. 2. Materials and Methods 2.1. Bioadsorbent Materials Three different low-cost and abundant byproducts were used in this study. Specifically, two of them were from the forestry industry (pine bark and oak ash), and one from the food industry (mussel shell). A complete characterization of these materials is detailed in Quintáns-Fondo et al. [ 14 ], and the Supplementary Material (Tables S1 and S2) includes methodological details regarding the analyses carried out. 2.2. Chemicals Both antibiotics were supplied by Sigma-Aldrich (Barcelona, Spain), TC with a purity of 95%, and SDZ with a purity of 99.7%. The reagents used were of analytical grade, with a high degree of purity, and were supplied by Panreac (Barcelona, Spain), except for acetonitrile (HPLC grade), which was supplied by Fisher Scientific (Madrid, Spain). All solutions were prepared using Milli-Q water (Millipore, Madrid, Spain). 2.3. Adsorption/Desorption Experiments 2.3.1. Adsorption Batch-type binary experiments (with TC and SDZ present simultaneously) were carried out, putting in contact, for each of the bioadsorbents, 1 g of sorbent material with 40 mL of a solution containing 0.005 M CaCl 2 (added as background electrolyte to keep constant the ionic strength) together with both antibiotics, containing the same concentration for both, specifically 1, 3, 5, 25 and 50 µ mol L −1 for each of them. The suspensions Processes 2021,9, 28 3 of 14 were shaken for 24 h (which was enough time to reach equilibrium, as demonstrated in previous kinetic studies), in the dark and at room temperature (25 ± 2 ◦ C) on a rotary shaker, at 50 rpm, and then centrifuged (2665 × g, 15 min) and filtered (using 0.45 µ m nylon syringe filters, Fisher Scientific, Madrid, Spain). All the adsorption tests were done in natural (not adjusted) pH. HPLC-UV equipment was used to quantify the concentration of the antibiotics in the equilibrium solution (see details below), while pH was measured by means of a combined glass electrode (Crison, Barcelona, Spain). The amount of antibiotic adsorbed was calculated as the difference between that initially added and that present in the solution at equilibrium. 2.3.2. Desorption To quantify desorption of the previously adsorbed antibiotics, the solids remaining from the adsorption experiments were first weighed to calculate the volume of the occluded solution. Next, 40 mL of 0.005 M CaCl 2 were added, and the suspensions were shaken, centrifuged, filtered and analyzed in the same way as described for adsorption. In parallel, blanks without byproducts (containing just antibiotic) were performed to quantify the possible loss of antibiotic due to degradation and/or adsorption to the tubes or filters, obtaining in all cases that the loss of antibiotic was very low (<3%). In addition, the biodegradation of both antibiotics has been ruled out in previous research [ 15 , 16 ]. All experiments were carried out in triplicate. 2.4. Quantification of the Antibiotics Tetracycline (TC) was determined as indicated in Fernández-Calviño et al. [ 17 , 18 ] using HPLC equipment (Dionex Corporation, Sunnyvale, CA, USA) with a P680 quaternary pump, an ASI-100 autosampler, a TCC-100 thermostated column compartment and a UVD170U detector. Chromatographic separations were carried out by means of a Luna C18 column (5 µ m particle size; 4.6 mm internal diameter; 150 mm long) and a guard column (5 µ m particle size; 2 mm i.d.; 4 mm long) packed with the same material, both from Phenomenex (Madrid, Spain). The flow rate was 1.5 mL min −1 , for an injection volume of 50 µ L, with a mobile phase constituted by acetonitrile (phase A) and 0.02 mol L−1 oxalic acid/0.01 mol L −1 triethylamine (phase B). A linear gradient elution program was run within 10.5 min, from 5% to 32% of phase A (and the rest to 100% of phase B). After 2 min, the initial conditions were reestablished and then held for 2.5 min. The total time for analysis was 15 min, using 8.0 min as the retention time. The wavelength for detection of TC was 360 nm. Regarding the quantification of sulfadiazine (SDZ), it was carried out after passing the suspensions through 0.45 µ m nylon filters (Panreac, Spain), using the same HPLC equipment as above, as well as the same flow rate and volume of injection. In this case, the mobile phase A was also acetonitrile, and phase B was 0.01 M phosphoric acid. The linear gradient was also run in 10.5 min, from 5% to 32% of phase A. Furthermore, coincident, the total time for analysis was 15 min, but the retention time was 5.2 min, and the wavelength for detection was 270 nm. 2.5. Data Analysis and Statistical Treatment To describe the experimental adsorption data, the fitting to the following models were tested: linear Equation (1), Freundlich Equation (2) and Langmuir Equation (3): Qa=KdCeq, (1) Qa=KFCn eq, (2) Qa=KLCeqqm 1+KLCeq , (3) Processes 2021,9, 28 4 of 14 In these equations, Q a (expressed in µ mol kg −1 ) is the amount of antibiotic adsorbed once the equilibrium is reached; C eq ( µ mol L −1 ) is the concentration of antibiotic remaining in solution in the situation of equilibrium; K d (L kg −1 ) is the distribution coefficient; K F ( Lnµmol1-n kg−1 ) is the Freundlich’s affinity coefficient; n(dimensionless) is the Freundlich’s linearity index; K L (L µ mol −1 ) is a Langmuir parameter related to the adsorption energy; qm(µmol kg−1) is the Langmuir’s maximum adsorption capacity. In addition, considering the possibility of eventual competition for adsorption sites, the linear and Freundlich models could be adapted to be used in binary competitive systems [ 19 ]. In this regard, the first step is to use Equations (4) and (5) to focus on the total amount of adsorbed of both antibiotics (TC and SDZ). (QaTC + QaSDZ)=Kd(CeqTC +CeqSDZ), (4) (QaTC +QaSDZ)=KF(CeqTC +CeqSDZ)n, (5) where Q a is the individual amount adsorbed of each of both antibiotics; C eq is the concentration of each of both antibiotics in the equilibrium solution; K d is the distribution coefficient, and KFand nare the Freundlich parameters indicated above. As the second step, the model developed by Murali and Aylmore [ 20 ] was also used to deepen the study of TC and SDZ competitive adsorption in the binary system Equations (6) and (7). Qa1 =(KF1Ceq1n1+1)/(Ceq1 +a12Ceq2), (6) Qa2 = (KF2Ceq2n2+1)/(Ceq2 +a21Ceq1), (7) In these equations, Q a is the amount adsorbed of each of both antibiotics; C eq is the concentration in the equilibrium solution for TC (1) and SDZ (2); K F and nare the Freundlich parameters obtained from the individual (not binary) experiments, and a 12 and a 21 are parameters related to the competition between TC and SDZ for adsorption sites. Taking into account that a 12 and a 21 are placed in the denominator of the quotients, higher a 12 and a 21 values will give lower Q a results, indicating lower adsorption for the antibiotics. Desorption was presented as percentages, which were calculated in relation to the amounts previously adsorbed after determination of values for desorbed TC and SDZ expressed as µmol kg−1. The fitting of experimental data to the adsorption models was performed by using R statistical software, version 3.1.3 and the nlstools package for R. In addition, any further statistical treatments were carried out by means of the SPSS 21.0 software. 3. Results and Discussion 3.1. Adsorption of TC and SDZ onto the Bioadsorbents in Binary Systems Figure 1shows TC and SDZ adsorption when both are added simultaneously and at the same concentration (with added concentration values between 1 and 50 µ mol L −1 for each antibiotic) to each of the three bioadsorbents (oak ash, pine bark and mussel shell). Processes 2021,9, 28 5 of 14 Figure 1. Tetracycline (TC) and sulfadiazine (SDZ) adsorption onto the three bioadsorbents studied (oak ash, pine bark and mussel shell) in binary competitive systems. Adsorption curves on the left, and percentage adsorption on the right. Average values (n= 3) with error bars indicating that coefficients of variation were <5%. As shown in Figure 1, TC adsorption reached really high scores on the three bioadsorbents in these binary systems. Oak ash and pine bark have similar adsorption values (maxima of 1966 and 1983 µ mol kg −1 , respectively), while mussel shell adsorbed much less (maximum of 777 µ mol kg −1 of TC). Regarding SDZ adsorption, the most effective bioadsorbent was pine bark, reaching a maximum value of 1499 µ mol kg −1 , while the other two bioadsorbents adsorbed less than 175 µ mol kg −1 when the maximum concentration of antibiotics (50 µmol L−1) was added. When the results are expressed in percentage values, it is shown that pine bark adsorbed 100% of both antibiotics when they were added at the two lowest doses (1 and 3 µ mol L −1 ), while this sorbent was able of adsorbing 100% of added TC and about 75% of added SDZ when the highest doses of antibiotics (25 and 50 µ mol L −1 ) were applied. Regarding oak ash, this sorbent was able of retaining 100% of the TC added, but the retention percentages were poor for SDZ (always lower than 5%), causing that it could not be considered as an effective bioadsorbent for simultaneous retention of the antibiotics evaluated in the competitive binary systems. Finally, mussel shell adsorbed about 80% of the added TC when the doses of antibiotic were low, but adsorption decreased to 40% when the highest doses of TC were added, while SDZ adsorption onto mussel shell was always less than 20%. In a previous study, Conde-Cid et al. [ 21 ] worked with binary systems that included different tetracyclines (not sulfonamides), finding that pine bark was able to adsorb most of the antibiotics added, with low desorption in most cases. Oak ash showed high adsorption for each antibiotic individually, but retention clearly decreased in the binary systems, and Processes 2021,9, 28 6 of 14 finally, the mussel shell showed poor adsorption in most cases. In addition, in another research, Conde-Cid et al. [ 22 ] studied the adsorption of sulfonamides (including SDZ) onto agricultural soils after being amended with the same byproducts here used, but in individual (not competitive) experiments. These authors found that the pine bark amendment caused an increase in the adsorption (and also decreased desorption) for the three sulfonamide antibiotics they studied. However, mussel shell and oak ash did not increase adsorption. These authors postulated that the positive effect of pine bark could be due to its high organic carbon content and to its acidic pH value. In fact, as previously found by Conde-Cid et al. [ 21 ], pine bark has the highest organic matter content (48.7%) among all three bioadsorbents, while oak ash and mussel shell showed values clearly lower (13.23 and 11.43%, respectively). These authors also indicate that oak ash showed an alkaline value for pH in water (11.31), as mussel shell (9.39), while it was acidic for pine bark (3.99), with differences between pH in KCl and pH in water indicating that oak ash had more positive charges, while negative charges dominate in pine bark and mussel shell. Conde-Cid et al. [ 21 ] also reported that oak ash showed an exchangeable Ca value ( 95 cmolckg−1 ) that was higher than those found for mussel shell (24.75 cmol c kg −1 ) and pine bark (5.38 cmol c kg −1 ), and BET surface area was higher for oak ash, followed by mussel shell and by pine bark. In the current work, when analyzing the results and making a comparison focused on the antibiotics, it can be observed that TC is generally more adsorbed than SDZ. Similarly, other authors [ 13 , 23 , 24 ] found higher adsorption of tetracyclines in relation to sulfonamides, this fact being responsible for the higher persistence of TCs in the environment, and specifically in solid media. It is noteworthy that both antibiotics (TC and SDZ) are amphoteric and can be present as cations, zwitterions or as anions, depending on the pH of the medium [ 6 , 12 , 21 , 22 ]. However, the higher affinity for TC shown by the three bioadsorbents here assessed could be related to the adsorption mechanisms of each antibiotic. Thus, while TC can be adsorbed by various mechanisms, such as electrostatic interactions, complexation, cationic bridges, H bonds [ 25 ], SDZ has electrostatic attractions as the predominant and almost exclusive mechanism for adsorption [ 26 ], which reduces the possibility of interacting with the functional groups of sorbents. For example, at neutral pH, SDZ is mainly in its neutral form (SDZ 0 ), and the adsorption mechanism would imply the intervention of weak hydrophobic forces [ 13 , 27 ], while TC molecules can be present as different chemical species, which is of great relevance since they can be adsorbed by different mechanisms [ 13 , 17 , 28 ], also affected by their Log KOW [29] and pKavalues [30]. Focusing on the differences regarding adsorption onto the three bioadsorbents, the most remarkable is the higher adsorption of SDZ taking place in pine bark, which could be explained based on the pH and organic matter content of this sorbent, as previously indicated by Conde-Cid et al. [22]. In fact, pH influences the speciation of both antibiotic molecules and the charge on the surface of adsorbent materials, which can undergo protonation/deprotonation reactions depending on the pH value [ 31 ], thus affecting the interaction between sorbate and sorbent. In this regard, Białk-Bieli´nska et al. [ 32 ] indicate that as the pH decreases, the adsorption capacity of sulfonamides increases, with maximum adsorption taking place at pH 4–4.25, with these antibiotics being in the cationic form [33]. In view of this, it must be taken into account that pine bark has a pH of 3.99, and the cationic species of SDZ will be adsorbed on the deprotonated carboxylic groups of the organic matter of this bioadsorbent through electrostatic interactions [ 26 ]. On the contrary, at the alkaline pH values characterizing oak ash and mussel shell, anionic species will predominate for SDZ, which will be repelled by the negative charges of the organic matter of these two bioadsorbents, causing that the SDZ/adsorbent bond would have to occur through a cationic bridge, which is a rare mechanism for sulfonamides [26]. Processes 2021,9, 28 7 of 14 However, TC is fully adsorbed both when the sorbent is acidic (pine bark) or strongly alkaline (oak ash). As previously noted, TC has several mechanisms for binding to sorbents. Thus, at an acidic pH, such as that found in pine bark (3.99), there are cationic species of TC that will interact electrostatically with the carboxylic groups of the organic matter of the bark, which begins to deprotonate from pH 3 [ 34 , 35 ]. At a strongly alkaline pH, like that of oak ash (11.31), TC will be in anionic form, and the organic matter (13.23% carbon) and noncrystalline components (8323.0 and 4233.0 mg kg −1 Al and Fe extracted with ammonium oxalate) present in the ash will also be negatively charged, causing that adsorption will occur through a cationic bridge, in which cations such as Ca 2+ can intervene [ 13 , 25 , 35 ], facilitated by its abundance in this sorbent (95 cmol C kg −1 of exchangeable Ca, clearly higher than 24.75 and 5.38 cmol C kg −1 in mussel shell and pine bark, respectively). The lower adsorption of TC in mussel shell can be related to the lower content of organic matter (11.43% carbon) and non-crystalline components (178.33 and 171.0 mg kg −1 Al and Fe extracted with ammonium oxalate) characterizing this sorbent. Based on the adsorption data obtained under the conditions of this study, it can be stated that pine bark could be used as an effective bioadsorbent for TC and SDZ in a binary system (with both antibiotics present), while oak ash could be used to effectively remove TC (but not SDZ) from solution, and finally, mussel shell would not be recommended as a bioadsorbent for these two antibiotics, due to its limited efficacy. 3.2. Fitting of TC and SDZ Adsorption Data to Different Models Tables 1–3show results on the fitting of TC and SDZ adsorption onto the three bioadsorbents, in binary systems, to three different models. Table 1. Parameters of the linear model for tetracycline (TC) and sulfonamide (SDZ) adsorption onto the three biosorbents studied. Bioadsorbent Antibiotic Kd (L kg−1)Error R2 TC - - - Oak ash SDZ TC + SDZ 1.51 42.06 0.16 0.46 0.939 0.999 TC 4805.01 275.58 0.979 Pine bark SDZ TC + SDZ 113.09 256.45 7.17 12.42 0.975 0.982 TC 29.04 4.18 0.858 Mussel shell SDZ TC + SDZ 3.50 13.49 0.37 0.96 0.934 0.955 Table 2. Parameters of the Langmuir model for tetracycline (TC) adsorption onto mussel shells. All other values for both antibiotics and the three biosorbents studied had too high error values for fitting. Bioadsorbent Antibiotic Langmuir Parameter Qm (µmol kg−1)Error KL (L µmol−1)Error R2 Mussel shell TC 934.35 97.63 0.14 0.05 0.986 Q m : maximum adsorption capacity; K L : constant related to the strength of interaction adsorbent/adsorbate; R 2 : coefficient of determination. Processes 2021,9, 28 8 of 14 Table 3. Parameters of the Freundlich model for tetracycline (TC) and sulfonamide (SDZ) adsorption onto the three biosorbents studied. Sorbent Antibiotic Freundlich Parameter KF(Lnµmol1−nkg−1)Error n Error R2 Oak ash TC - - - - - SDZ 0.07 0.01 1.82 0.05 1 TC + SDZ * 35.16 3.12 1.05 0.02 1 Pine bark TC 6036.53 1411.70 1.22 0.22 0.985 SDZ 46.07 23.98 1.37 0.21 0.988 TC + SDZ * 123.29 54.40 1.30 0.6 0.991 Mussel shell TC 148.88 18.95 0.50 0.04 0.992 SDZ - - 1.67 0.37 0.997 TC + SDZ * 50.18 9.16 0.70 0.04 0.997 K F : parameter related to the adsorption capacity; n: parameter related to the heterogeneity of the sorbent; R 2 : coefficient of determination. * Obtained from Equation (5); -: error values too high for fitting. Table 1shows that the adjustments to the linear model are generally good, with high R 2 values. However, in the case of TC adsorption onto oak ash, the fitting was not possible to the linear or any other model due to the high adsorption capacity of the sorbent for TC (100% in most cases), causing that no TC was detected in the equilibrium solution, making not possible to apply adsorption models. The best fit to the linear model corresponded to pine bark for both antibiotics. In addition, it is noteworthy that K d values were much higher for TC (between 29.04 and 4805.01 L kg −1 ) than for SDZ (between 1.51 and 113.09 L kg−1 ), which indicates that the bioadsorbents studied have a higher affinity for TC [ 13 ]. Furthermore, relevant, pine bark showed higher affinity for both antibiotics, compared to oak ash and mussel shell (Table 1), which is in agreement with the experimental results (Figure 1). Just for comparison, we could take into account that Conde-Cid et al. [ 36 ] obtained K d values between 0.40 and 9.43 L kg −1 for SDZ in soils of Galicia, which are of the same order as those obtained for other soils by Sukul et al. [ 37 ] (between 0.1 and 24.3 L kg −1 ), and by Leal et al. [ 38 ] (from 0.8 to 14.3 L kg −1 ), while Hu et al. [ 39 ] found lower values (1.54 and 3.41 L kg −1 ) in other agricultural soils. Compared to these results, the K d values obtained in the present study for SDZ in oak ash and mussel shell (1.51 and 3.50 L kg −1 ) are of the order of those reported in the soils above, while K d was clearly higher in pine bark ( 113.09 L kg−1 ), which indicates a high affinity of this material for SDZ, and its potential feasibility to be used to retain this antibiotic in soils, slowing its passage into water bodies and the food chain. Regarding TC, K d values obtained in previous studies for Galician soils ranged between 53 and 30,237 L kg −1 [ 40 ], while Bao et al. [ 41 ] reported values between 838 and 15,278 L kg −1 for other soils. In the present study, K d values for TC in mussel shell were lower than those obtained in the lower range of the soils reported above, while K d was high in pine bark (4805 L kg −1 ), suggesting that this biosorbent could be used to increase the retention of TC in soils with low adsorption capacity. Table 1also shows that when the linear model is applied to the set of the two antibiotics in the binary system (TC + SDZ), R 2 improves slightly compared to when considering the antibiotics separately, and it is also observed that K d values for TC + SDZ are lower than those obtained for TC alone but higher than those for SDZ alone (Table 1). Regarding the Langmuir model, Table 2shows that it is not satisfactory to explain the adsorption of TC and SDZ onto oak ash and pine bark in binary systems, just fitting for TC adsorption onto mussel shell. In all other cases, error values were too high for fitting. As regards the Freundlich model, Table 3shows the model parameters for TC and SDZ separately and for the set of the two antibiotics in the binary system. In fact, as previously commented, the Freundlich model can be adapted to be used in binary competitive systems, Processes 2021,9, 28 9 of 14 as shown in Equation (5). The fits to this model are generally good, with R 2 values between 0.985 and 1 (Table 3). The values of the Freundlich K F parameter (related to the adsorption capacity of a certain adsorbent, [ 42 ]) were higher for TC than for SDZ (Table 3). These results also indicate a higher affinity of the bioadsorbents used in this study (specifically of pine bark) for TC than for SDZ, and also a higher adsorption capacity of pine bark for both antibiotics, compared to oak ash and mussel shell, which coincides with the experimental results (Figure 1). Using the Freundlich model adapted for the binary systems (Equation (5)), the resulting K F values for the set of the two antibiotics (TC + SDZ) were lower than those obtained for TC and higher than those obtained for SDZ (Table 3), so that the sequence for the three bioadsorbents, considering both the antibiotics individually and in binary systems, was: TC> TC + SDZ> SDZ. Regarding possible comparisons between the K F values of the present study and those from previous research, it is hard to perform it properly due to the differences affecting the experimental conditions, including the initial concentrations added. Therefore, at the level of data comparison among different publications and adsorbent materials, it is preferable to use the partition coefficient (K d ) discussed above for the linear model, which is less sensitive to variations in the initial concentration than the adsorption capacity [43–45]. As regards the nparameter, it is related to the reactivity and heterogeneity of the active sites of the adsorbents. Specifically, when n= 1 the adsorption is linear, when n> 1 the adsorption process is mainly chemical, and when n< 1 physical adsorption is dominant, with heterogeneous high-energy sites present, strong interactions taking place between adsorbent and sorbate, and with high-energy sites being the first to be occupied [ 46 – 48 ]. In the present study, nvalues were generally > 1 (denoting dominance of chemisorption), with the exception of TC and the sum of TC + SDZ in mussel shell (Table 3). Other authors also obtained values of n> 1 in chlortetracycline + SDZ binary systems, which suggest a strong interaction between these two antibiotics and the high-energy sites of the bioadsorbents [ 13 ]. On the contrary, in studies dealing with soils in individual (non-binary) systems, values of n< 1 were obtained for both TC [ 40 ] and SDZ [ 36 ], which suggests that the simultaneous presence of both antibiotics in binary systems could cause modifications in the mechanisms of interaction of these compounds with adsorbent surfaces. Table 4shows the results of the adsorption adjustments of TC and SDZ to the model of Murali and Aylmore [ 20 ], with R 2 values ranging between 0.725 and 0.991. This model is used to study the competition between different sorbates for adsorption sites, which is expressed by the competitiveness index a. The lower the value of a, the lower is the competition between sorbates for the adsorption sites of the sorbents. Comparing the index a 12 (index of competition of SDZ to eventually occupy adsorption sites before TC) and a 21 (index of competition of TC to eventually occupy adsorption sites before SDZ), it is observed that the former are always lower than the latter (Table 4); therefore TC would be more likely to displace SDZ and occupy first the adsorption sites for which they compete.