Simultaneous Removal of Al, Cu and Zn Ions from Aqueous Solutions Using Ion and Precipitate Flotation Methods

: This paper presents the results of investigations concerning the simultaneous removal of Al(III), Cu(II), and Zn(II) from dilute aqueous solutions using ion and precipitate ﬂotation methods. The effects of initial solution pH, surface active substance concentration, and the gas velocity on the ﬂotations’ efﬁciency and course are studied. Experimental results are discussed in terms of physicochemical aspects related to aqueous solutions of metal salts. The results indicate that satisfying simultaneous ﬂotations of aluminum, copper and zinc species are observed if the pH value ranges between 7.0 and 9.0. It was found that an increase in collector concentration results in a decrease in the ﬂotation rate constants. An increase in the gas velocity results in an increase in the ion and precipitate ﬂotation rates.


Introduction
Discharge of waste streams containing metal ions into aquatic systems, mainly due to industrial operations, is still posing a threat to human health and the environment [1,2]. Strict legal standards regarding the permissible concentrations of metals in wastewater require the use of efficient methods of treatment of this type of streams, especially those from the metal and metallurgical industries [3].
The most common method of removing of the metal ions from wastewater is chemical precipitation [4]. It is a simple method, efficient for highly concentrated streams and relatively inexpensive, but has significant disadvantages, i.e., a large volume of sludge with a high water content as a result of precipitation and the chemicals present in the wastewater can hinder the complete precipitation of metals [1]. Therefore, in recent years, for the treatment of industrial wastewater from metal ions, various methods were proposed. These include ion exchange, membrane and adsorption processes [5][6][7] including the application of low-cost adsorbents [8], bioremediation processes [9], remediation using metallic iron [10], electrokinetic remediation [11], or photochemical remediation [12]. Among others, flotation techniques may be applied for the treatment of wastewaters containing metals [13,14]. Ion and precipitate flotation belong to the adsorptive bubble separation methods, which are of interest due to their high efficiency in the treatment of large volumes of dilute solutions and low operating costs of the process. A brief comparison of selected physicochemical methods of the removal of metal ions from wastewaters is given in Table 1.
Ion flotation allows for the removal of surface inactive ions from the solution. These ions react with the oppositely charged ions of the surfactant acting as a collector and create compounds can be adsorbed and transported on the surface of gas bubbles rising in the bubble layer to the foam formed above the liquid layer [15][16][17]. The concentration of flotated ions in the product i.e., in the foam condensate, may be many times higher than in the feed solution.
Ion flotation is said to be a highly efficient method for purification of aqueous streams from metal ions when their concentration in the range between 10 −5 to 10 −3 mol dm −3 [18].
The precipitate flotation differs from ion flotation by means of a different process mechanism. In the precipitate flotation, the feed solution is a suspension containing hydroxides or insoluble metal salts. By adding a surfactant as a collector, the surface-active ions are adsorbed onto the hydroxide-charged micelles, neutralizing the electric charge and making the particle surface hydrophobic. The aggregates formed in this way and adsorbed on the surface of gas bubbles can be flotated [19,20]. High process efficiency, durability of equipment Relatively high cost [22] Adsorption Activated carbon <10 3 >70

Possibility of adsorbent regeneration
High cost [1] Electrochemical processes Electrochemical precipitation 10-10 3 >95 Low consumption of chemicals, short process time High costs [23] Flotation techniques Ion flotation 10-10 3 >95 Low costs, process selectivity Consumption of surface-active substance [3] In this work, zinc, aluminum and copper were selected as the research objects. The mentioned metals and their alloys are widely used in different industries, including metallurgy, the aviation, and the chemical industry [24]. Ion and precipitate flotation of aluminum was studied by Shakir and co-workers [25], while investigations on copper were performed by Rubin and co-workers [26]. Ion flotation of copper with calcium or lead was studied by Liu and Doyle [27]. Ion and precipitate flotation of zinc was studied by Jurkiewicz [28]. Ion and precipitate flotation of Al(III) and Cu(II) was investigated by Kawalec-Pietrenko and Rybarczyk as well as by Ghazy and El-Morsy [29,30]. However, to the best knowledge of the authors, a mixture of Al(III), Cu(II) and Zn(II) has not been previously investigated as a research object for ion and precipitate flotation.
A mixture of zinc, aluminum, and copper ions gets into industrial wastewaters, e.g., during the processing of the aluminum brass and the production of brass elements. The operations require the use of large volumes of the process water, which is associated with the formation of significant amounts of wastewater containing low concentrations of metals. Therefore, the use of flotation techniques to treat this type of stream is particularly justified.
Recent research in the field of wastewater treatment using ion and precipitate flotation was related to the use of biosurfactants [17,[31][32][33][34], more in-depth description of the process mechanisms, e.g., taking into account the physicochemical aspects of the precipitate formation [35,36] or the selective separation of target ions [37]. Kinetic aspects of the ion flotation were also investigated [38].
It seems that an interesting aspect of the research regarding ion and precipitate flotation is related to the analysis of the conditions enabling either the simultaneous removal of several ions from a solution or the selective flotation of a target ion. However, the literature on the subject is dominated by articles describing the foam separation of single metal ions, while there are a few publications on the simultaneous ion and precipitation flotation of two or more metals [29,31,34,39]. The use of flotation techniques in wastewater treatment requires not only information about the course of the ongoing processes, but also about the Processes 2021, 9, 301 3 of 22 possibility of its controlling. Therefore, the aim of this study is to evaluate the influence of the most important process parameters, e.g., pH value of the feed solution, collector concentration (c SDS and c CTAB , for concentration of sodium dodecyl sulphate and cationic cetyltrimethylammonium bromide, respectively), and superficial gas velocity (u G , on the simultaneous removal of Al(III), Cu(II), and Zn(II) from aqueous solutions using ion and precipitate flotation methods.

Materials and Methods
Investigations were performed in a semi-batch bubble column (1) presented in Figure 1. The height of the column was 510 mm and its internal diameter was 50 mm. The G-4 porous frit (4) was mounted at the bottom of the column. A solution sampling port (5) was placed 250 mm above the porous frit. A valve (6) mounted below the porous frit enabled draining the liquid from the column. Waste solution via a pipe (11) was directed to the measuring cylinder.
It seems that an interesting aspect of the research regarding ion and precipitate flotation is related to the analysis of the conditions enabling either the simultaneous removal of several ions from a solution or the selective flotation of a target ion. However, the literature on the subject is dominated by articles describing the foam separation of single metal ions, while there are a few publications on the simultaneous ion and precipitation flotation of two or more metals [29,31,34,39]. The use of flotation techniques in wastewater treatment requires not only information about the course of the ongoing processes, but also about the possibility of its controlling. Therefore, the aim of this study is to evaluate the influence of the most important process parameters, e.g., pH value of the feed solution, collector concentration (cSDS and cCTAB, for concentration of sodium dodecyl sulphate and cationic cetyltrimethylammonium bromide, respectively), and superficial gas velocity (uG, on the simultaneous removal of Al(III), Cu(II), and Zn(II) from aqueous solutions using ion and precipitate flotation methods.

Materials and Methods
Investigations were performed in a semi-batch bubble column (1) presented in Figure 1. The height of the column was 510 mm and its internal diameter was 50 mm. The G-4 porous frit (4) was mounted at the bottom of the column. A solution sampling port (5) was placed 250 mm above the porous frit. A valve (6) mounted below the porous frit enabled draining the liquid from the column. Waste solution via a pipe (11) was directed to the measuring cylinder.  Compressed air (2) was supplied to the system through a pressure reduction valve (3). Pressure (P), temperature (T), and volumetric flowrate (V G ) of the air were measured prior to its entering the bubble column. Upon passing through the porous frit, the air stream was dispersed and raised as the bubble swarm through the gas-liquid bubble layer in the flotation column. The foam formed during the process was condensed with a rotating horizontal Teflon plate (8) in a foam container (9). The volume of the foam condensate was measured (10). During the experiments, superficial air velocity (u G ) was equal to 1.51 mm s −1 unless stated otherwise.
Aqueous solutions containing Al 2 (SO 4 ) 3 × 16H 2 O (Sigma-Aldrich, Steinheim, Germany), CuSO 4 × 5H 2 O, and ZnSO 4 × 7H 2 O (POCH, Gliwice, Poland) were prepared using distilled water. Initial concentrations of each of above given metals were either 0.15 or 2 mmol dm −3 . These concentrations are typically found in the research on ion and precipitate flotation [27,40] as well as corresponding to concentrations of investigated metals in real industrial effluents [1,[41][42][43]. Selection of two concentrations, differing by the order of magnitude, enable verification of the effects of important process parameters in the perspective of possible practical applications. The pH value was adjusted by means of H 2 SO 4 or NaOH (CHEMPUR, Piekarý Sląskie, Poland). Depending on the distributions of ionic species of Al(III), Cu(II), and Zn(II) ( Figures A1-A6), freshly prepared aqueous solutions of either anionic sodium dodecyl sulphate (molecular formula: C 12 H 25 NaSO 4 ; POCH, Gliwice, Poland) or cationic cetyltrimethylammonium bromide (molecular formula: C 19 H 42 BrN; International Enzymes Limited, Windsor, United Kingdom) were added as a collector (specified volume was taken from the stock solution containing 1 g dm −3 of a given surfactant). These surfactants were selected due to their low price as well as their documented application in similar research [27,41,44], which allows for comparison of the obtained results. In this process, 1 dm 3 of the initial solution was poured into the column. The flotation time (τ) was 60 min, unless otherwise stated.
Zeta potential measurements were performed using a Malvern ZetaSizer Nano ZS apparatus (Malvern Instruments, Malvern, UK). A DTS1060 u-shaped capillary cell was used during the measurements. Zeta potential was calculated using the Smoluchowski approximation.
The effectiveness of the ion and precipitate flotation was calculated using values of the final removal ratio (R): where c 0 and c ∞ are concentrations of Al(III), Cu(II), or Zn(II) in the initial solution and in the solution when the flotation is finished (concentration does not change any further), respectively. The courses of ion and precipitate flotations were recorded as changes in temporary removal ratio (R τ ) during the flotation time (τ) [20,29,48]: where c is the temporary concentration of Al(III), Cu(II) or Zn(II) in the solution during flotation. Based on our own as well as published experimental results [20,29,44,[48][49][50][51][52], it is known that the kinetics of ion and precipitate flotations of metal ions can be described by Equation (4), which is analogous to the first-order reaction rate equation: where k is a flotation rate constant. After separation of the variable and integration, the following equation was used for the analysis of experimental data: Dependencies of the Al(III), Cu(II), and Zn(II) forms on the pH value of the aqueous solutions ( Figures A1-A6) were prepared using MEDUSA computer software [53].  (for initial concentration of each of investigated metals equal to 0.15 mmol dm −3 ) and Figure 2b (for initial concentration of each of investigated metals equal to 2 mmol dm −3 ). According to Figure 2a, for pH values lower than 4, the abovementioned metals exist in the solution in a form of cations, mainly Al 3+ , Cu 2+ , and Zn 2+ (Figures A1-A3). Values of the final removal ratio are below 0.1 and the flotation follows the mechanism of ion flotation. This mechanism is related to the stoichiometric proportion between the concentration of the collector i.e., sodium dodecyl sulphate and metal ions, known as colligend ions [15]. For pH values higher than 4.1, values of the aluminum removal efficiency increase because an insoluble aluminum hydroxide is formed. Thus, precipitate flotation of aluminum takes place. For pH values above 5.0, the flotation solution contains micelles of Al(OH) 3 as well as soluble ionic forms of copper and zinc. At such conditions, adsorption of these ions on the surface of Al(OH) 3 precipitate is possible [54]. This may be a reason for increases in the final removal ratio values ranging between 6.0 and 7.0 and 6.2 and 7.5, respectively, for Cu(II) and Zn(II). According to data presented in Figures A3 and A5, insoluble hydroxides of copper and zinc start to precipitate for pH values higher than 6.1 and 7.5, respectively. At pH = 8.0, micelles containing hydroxides of aluminum, copper, and zinc are present in the flotation solution. Thus, precipitate flotation using anionic sodium dodecyl sulphate is possible, and the values of final removal ratio exceed 0.95 for all investigated metals. For pH > 8.5, a decrease in flotation efficiency with respect to Al(III) is observed (Figure 2a). This is because of an increase in solubility of Al(OH)3 which undergoes complete dissolution at pH = 10.4 ( Figure A1). In the same time, for a pH range between 8 and 11, values of the final removal ratio for Cu(II) and Zn(II) are still high, i.e., above 0.9. This is due to the lowest solubility of both Cu(OH)2 and Zn(OH)2 at the given pH range For pH > 8.5, a decrease in flotation efficiency with respect to Al(III) is observed ( Figure 2a). This is because of an increase in solubility of Al(OH) 3 which undergoes complete dissolution at pH = 10.4 ( Figure A1). In the same time, for a pH range between 8 and 11, values of the final removal ratio for Cu(II) and Zn(II) are still high, i.e., above 0.9. This is due to the lowest solubility of both Cu(OH) 2 and Zn(OH) 2 at the given pH range ( Figures A3 and A5). For pH > 11.5, the values of the final removal ratio of Cu(II) and Zn(II) sharply decrease. Such a phenomenon results from the presence of OH − ions as well as negatively charged hydrolysis products of Al(III), Cu(II), and Zn(II) in the suspension undergoing the flotation. Adsorption of these anions results in the negative surface charge of agglomerates, mainly containing hydroxides of copper and zinc. This is in accordance with the experimental pH of the isoelectric point for investigated system (Table 2). Thus, flotation with anionic SDS is hindered and a cationic collector must be applied. However, efficient precipitate flotation with cationic CTAB is possible only for Cu(OH) 2 , since Zn(OH) 2 dissolves at pH > 12.0. The solubility of Cu(OH) 2 increases for pH > 12.6. At pH 13.0, the final removal ratio for Cu(II) is lower than 0.7 because about 70% of copper exists in a form of insoluble hydroxide ( Figure A2). The influence of the solution pH on the efficiency of simultaneous ion and precipitate flotation of Al(III), Cu(II), and Zn(II) when the each metal initial concentration is equal to 2 mmol dm −3 is shown in Figure 2b. Aluminum, copper, and zinc exist in the form of soluble cations for pH < 3.9, pH < 5.5 and pH < 6.8, respectively. For pH > 3.9, insoluble Al(OH) 3 starts to precipitate, while the precipitation of Cu(OH) 2 and Zn(OH) 2 occurs for higher pH values (Figures A2, A4 and A6). Therefore, for pH values higher than those given above, the flotation efficiency increases with respect to the investigated metal ions. This results from the shift of the process mechanism from ion to precipitate flotation. It can be observed ( Figure 2b) that the highest values of the final removal ratio for all investigated metals are noted for pH range between 7.0 and 10.0 when anionic sodium dodecyl sulphate is used. In the given pH range, insoluble hydroxides of Al(III), Cu(II), and Zn(II) predominate in the flotation suspension.

Effect of pH on the Flotation Efficiency
For pH > 10.0, the solubility of Al(OH) 3 increases, resulting in a decrease in the removal efficiency of aluminum ( Figure 2b). Aluminum hydroxide dissolves at pH = 11.6. On the other hand, values of the removal ratio for copper and zinc are still very high (about 0.99) up to a pH value about 12.0. For pH > 12.0, the flotation efficiency of Cu(II) and Zn(II) decreases. For pH > 13.0, beside insoluble hydroxides of copper and zinc, negatively charged products of hydrolysis of aluminum, copper and zinc prevail in the flotation solution. Due to the adsorption of these anions, the surface charge of agglomerates is negative, thus the flotation with anionic collector is hindered and values of the removal efficiency drop to zero for pH > 13.0. Due to the broad range of pH values in which anionic SDS is an effective collector in the investigated system (from about pH = 7 to pH = 10, for all metals), the authors decided not to investigate the system behavior with cationic CTAB. This is because of the high ionic strength at high pH values (pH > 12), as well as due to presence of soluble anionic species in these conditions, which suggests that ion flotation may prevail, and thus stoichiometric, i.e., very high concentrations of CTAB must be used.
Analysis of results presented in Figure 2a,b reveals that an increase in the initial concentration of metals in the flotation solution corresponds to an increase in the pH range of efficient flotation with anionic collector. This results from two phenomena. Firstly, the pH range of the lowest solubility of Al(III), Cu(II) and Zn(II) is higher when the Downloaded from mostwiedzy.pl  Figures A1-A6). Secondly, with an increase in the metal concentration, both the size and the number of metal hydroxide micelles increase. Thus, the concentrations of OH − ions as well as negatively charged products of metals hydrolysis required to give the negative charge to agglomerates also increase.
It can be noted that the regulation of the initial solution pH allows for selective flotation of the metal mixture components. For example, it is possible to separate Al(III) from its mixture with Cu(II) and Zn(II) when the solution pH is about 5.0 ( Figure 2b).

Effect of pH on the Flotation Rate Constant
The pH value of the initial solution affects not only the flotation efficiency but also the rate of the process. This effect results mainly from the form of metal existence in the solution as well as from the prevailing mechanism of flotation. Experimental values of flotation rate constants for Al(III), Cu(II), and Zn(II) are given in Table 3. Curves presenting changes in the temporary removal ratio with flotation time are presented in Figures A7-A12. Values of the rate constants were found as the slope of the straight line, represented by Equation (4). The values of correlation coefficient (R 2 ) exceeding 0.95 justify that the course of both ion and precipitate flotation may be correctly described by the first-order chemical reaction rate [29].  The data presented in Table 3 show that the flotation rate constants for given metallic species are the highest for pH ranges corresponding to the highest removal efficiency. At the same time, these pH ranges reflect the lowest solubility of hydroxides of investigated metals [4]. For example, values of the flotation rate constant for Al(III) increase for the pH range between 4.8 and 8.0 (when initial concentration of each of investigated metals is 0.15 mmol dm −3 ). For the pH < 5, soluble species of Al 3+ and AlOH 2+ are present in the flotation solution, and thus ion flotation can occur and the value of the flotation rate constant is relatively low (0.523 min −1 ). For pH > 4.8, the aluminum hydroxide Al(OH) 3 predominates as the aluminum compound in the solution, and thus Al(OH) 3 precipitate flotation occurs. For pH > 8.0, the aluminum flotation rate constant decreases, both due to dissolution of aluminum hydroxide as well as to increase in the share of negatively charged species of Al(III). Similar discussion of results, based on the electrochemical equilibria for investigated systems (Figures A1-A6), is valid in terms of Cu(II) and Zn(II).
Analysis of data presented in Table 3 provides an interesting conclusion on the flotation mechanism of Al(III), Cu(II), and Zn(II). Flotation rate constants, specific for each investigated metal, attain similar values. For example, values of the flotation rate constants are 1.176, 1.123, and 1.161 min −1 , respectively, for aluminum, copper, and zinc, when the solution pH is 8.7. Such values of flotation rate constants indicate that a simultaneous flotation of all investigated metals is more probable than flotations of hydroxides of single, different metals. This is probably due to formation of a mixed precipitate which undergoes flotation. It is known [4] that precipitation of given metal hydroxides from polymetallic solutions is accompanied by co-precipitation or adsorption of other metals, which undergo precipitation at higher pH values when they singly occur in the aqueous solution.
The results presented in Table 3 as well as in Figure 2 indicate that the most optimal pH values, i.e., enabling the highest process efficiency are pH = 8.0 when c 0 = 0.15 mmol dm −3 and pH = 8.7 when c 0 = 2 mmol dm −3 . These pH values correspond to the course of the process with respect to the mechanism of precipitate flotation. Thus, the effects of collector concentration and air velocity were studied for precipitate flotation at given pH values. This is in accordance with some literature data for single metals. For example, Shakir et al. [25] obtained removal ratio of Al(III) equal to about 0.97 for pH = 6.0 when c SDS = 0.4 mmol dm −3 and c 0(Al) = 20 mmol dm −3 . Jurkiewicz [28] obtained a removal ratio of Zn(II) equal to about 0.92 for pH = 9.0 when c SDS = 0.2 mmol dm −3 and c 0(Zn) = 1 mmol dm −3 .

Effect of Collector Concentration on the Flotation Efficiency
Ion flotation is based on the separation of surface-inactive (colligend) ions from aqueous solutions by means of surface-active substance. The colligend ions interact with oppositely charged functional groups of surfactants at the gas-liquid interface [20]. Thus, successful realization of ion flotation results from stoichiometry of the above described reaction, which ensures the electrical neutrality of the formed compound. Therefore, at least stochiometric concentration of the collector to colligend ion is necessary to ensure complete removal of the target ion from the solution. For anionic sodium dodecyl sulphate as well as investigated metal ions, the following stoichiometric proportions are valid: c SDS :c Al3+ = 3:1; c SDS :c Cu2+ = c SDS :c Zn2+ = 2:1. The influence of the collector concentration on the values of Al(III), Cu(II), and Zn(II) removal ratio is given in Figure 3. Influence of the collector concentration on the precipitate flotation of Al(III), Cu(II), and Zn(II) is shown in Table 4. Comparison of the results obtained for ion and precipitate flotation reveals that the collector concentration needed to reach high values of final removal ratio (i.e., R > 0.9) is several times lower for precipitate flotation than in ion flotation. Such a discrepancy in the collector concentration may be explained by the stoichiometry of the formation of a metal ion-collector product in ion flotation as well as micelles formation during precipitate flotation. In precipitate flotation, metal hydroxides present in the flotation suspension form micelles. The surface charge of a micelle is many as well as the possibility of the separation of the mixture components depending on the collector concentration. The results show that the flotation of Cu 2+ and Zn 2+ is possible for the SDS concentration higher than 0.45 mmol dm −3 . The values of the final removal ratio for Cu(II) and Zn(II) increase for collector concentration between 0.45 and 1.20 mmol dm −3 . The SDS concentration equal to 1.20 mmol dm −3 is close to the stoichiometric one, which is 1.15 mmol dm −3 for the investigated system. Thus, within the studied collector concentration range, the values of the removal ratio for copper and zinc ions do not change when c SDS > 1.20 mmol dm −3 .
The abovementioned competition between colligend ions and ions of collector results from varied affinity of metal cations towards anions of surface active substances. It is known that the higher the mentioned affinity is, the higher the ionic potential of a given cation is [57,58]. Ionic potentials for Al 3+ , Cu 2+ , and Zn 2+ are 5.77, 2.74, and 2.25 (elementary charge A −1 ), respectively [57,59,60]. This is why aluminum ions are selectively flotated from its mixture with copper and zinc ions when the collector concentration is sub-stoichiometric.
Influence of the collector concentration on the precipitate flotation of Al(III), Cu(II), and Zn(II) is shown in Table 4. Comparison of the results obtained for ion and precipitate flotation reveals that the collector concentration needed to reach high values of final removal ratio (i.e., R > 0.9) is several times lower for precipitate flotation than in ion flotation. Such a discrepancy in the collector concentration may be explained by the stoichiometry of the formation of a metal ion-collector product in ion flotation as well as micelles formation during precipitate flotation. In precipitate flotation, metal hydroxides present in the flotation suspension form micelles. The surface charge of a micelle is many times lower than the net charge of ions included in the hydroxides. Thus, the amount of the collector required for the charge neutralization is many times lower that it would be in the case of ion flotation of the same number of metal ions. The results presented in Table 4 show that an increase in collector concentration results in the increase in the values of final removal ratio of investigated metals. However, the increase in the values of the final removal ratio is observed to a certain value of SDS concentration, above which a further increase in collector concentration does not affect the removal efficiency.
The ratio of the collector concentration to the concentration of metals in the solution decreases with the increase in metal concentration (Table 4). This effect is probably associated with a decrease in the density of surface electric charge when the sizes of metal hydroxide micelles increase due to an increase in metal concentration. In such a case, Processes 2021, 9, 301 10 of 22 the concentration of the collector required for the charge neutralization is lower when the metal concentration is higher.

Effect of Collector Concentration on the Flotation Rate Constant
An influence of the collector concentration on the values of flotation rate constants for Al(III), Cu(II), and Zn(II) is presented in Table 5, while the curves presenting changes in the temporary removal ration with flotation time are given in Figures A13-A18. The results indicate that an increase in the collector concentration results in a decrease in the flotation rate constants for investigated metals. This effect is clearly visible in the case of the precipitate flotation process. The authors decided not to present data on ion flotation since only stoichiometric proportion of collector to colligend ions is reasonable in this case. Sub-stoichiomteric concentrations of collector result in low process efficiency, while excess collector concentrations lead to competition between colligend ions and collector ions for adsorption at the gas-liquid interface as well as excessive foaming occurs.  A decrease in the flotation rate constants with an increase in the collector concentration may be explained as follows. When the collector concentrations are higher than the minimum concentration required for the occurrence of flotation, in the flotation suspension micelles containing metal hydroxides and ions of collector co-exist with free i.e., not adsorbed ions of collector. With an increase in the collector concentration, the share of free collector ions in the suspension increases. Therefore, a competition for the gas-liquid interface area between the floatable aggregates and the free collector ions is observed in the system. Free collector ions are smaller than micelle-collector aggregates and thus these free collector ions are preferentially adsorbed at the gas-liquid interface [20]. This results in a decrease in the values of Al(III), Cu(II), and Zn(II) flotation rate constants with the increase in the collector concentration. What is more, a delay effect [20,29] for flotation of metal-collector compounds in comparison to the flotation of free collector is clearly visible in Figures A13-A15.
Analysis of data given in Table 5 reveals that the flotation rate constants for each of the investigated metals are similar. This is in accordance with previously formulated statement (p. 3.2.) that investigated metals undergo simultaneous flotation in the form of agglomerates containing micelles of metal hydroxides and adsorbed ions of collector. Downloaded from mostwiedzy.pl

Effect of Air Velocity on Flotation Efficiency
Air velocity is an important parameter affecting both the course as well as the efficiency of ion and precipitate flotation. This is because the volume of foam generated during flotation us much dependent on the gas velocity [61]. Furthermore, resulting volume of the foam condensate decides about the enrichment of the colligend. From this perspective, low volumes of foam containing possibly high concentrations of removed ions are favored. The effects of the air velocity on the efficiency of ion and precipitate flotation as well as on the volume of foam condensate are presented in Table 6. Analysis of the data given in Table 6 reveals that the gas flow rate does not greatly affect the values of the final removal ratio. The only exception is for low air velocities for ion flotation. This phenomenon may be explained as follows: the selected time of flotation (120 min) may be too little for complete ion flotation at low air velocity. This statement is supported by the shape of curves in Appendix A (Figures A19-A21). What is more, for ion flotation when u G = 0.56 mm s −1 , the values of the final removal ratio for Cu(II) and Zn(II) are much lower than for Al(III). Additionally, curves presenting the course of the processes (Figures A19-A21) reveal that Al 3+ is preferentially flotated from its mixture with Cu 2+ and Zn 2+. This is in accordance with previous discussion on the effect of collector concentration and a competition effect between investigated metal cations for both preferential interactions with anionic collector as well as for adsorption at the available gas-liquid interfacial area.

Effect of Air Velocity on the Flotation Rate Constant
The flotating air velocity, for fixed process conditions with respect to solution pH and collector concentration, influences the values of the flotation rate constants. This is because of the fact that the flotation rate constant depends on the rate of formation of the gasliquid interface [20,[61][62][63]. As shown in Table 7 (results presenting original experimental recordings, i.e., changes in temporary removal ratio with flotation time, Figures A19-A27), an increase in the air velocity results in an increase in the flotation rate constants for Al(III), Cu(II), and Zn(II). Values of the flotation rate constants for ion flotation conditions (pH = 3.0) are an order of magnitude lower than for precipitate flotation conditions. The results show that the flotation rate constant is proportional to the gas velocity with the exponent value of about 0.78 [64]. This is in accordance with other similar results published in the literature [20,29]. It is known that the generated gas-phase interfacial area is proportional to the gas flow rate with the exponent value of about 0.44 [20]. The discrepancy between the above given values of the exponents indicates that the observed increase in the flotation rate together with an increase in the gas flow rate results also from the turbulence in the liquid and not only from the available gas-liquid interfacial area. An increase in the turbulence in the liquid increases the probability of a collision between the solid particle aggregates and air bubble in the bubble layer, thus increasing the flotation rate.

Cost Estimation of Selected Methods for Removal of Metal Ions from Aqueous Solutions
Selection of a treatment method for the purification of wastewater streams from metal ions requires careful analysis of the properties of both treated and purified streams. Such analysis should cover several parameters, including solution pH, concentration of target pollutants as well as the expected purification efficiency. In several papers on ion and precipitate flotation, it was said that these processes are economically attractive comparing to other methods, especially when high volumes of containing low metal concentrations are considered [29,41,62]. Such a statement is true; however, few data are available on the evaluation of the costs of these processes. The low costs of ion and precipitate flotation result from the relatively low requirements for specific equipment and energy input for the operation. Apart from the apparatus for flotation, these processes require a surface-active substance as collector, acid or base solutions for pH regulation and, in general, a supply of compressed air. Grieves in 1970 estimated the cost of treatment of wastewaters containing Cr(III) to be about USD 0.12 to 0.15 per 1 m 3 , respectively, for dispersed and dissolved air flotation [65]. A brief comparison of costs associated with selected methods of wastewater treatment is proposed in     Analysis of data given in Table 7 reveals that adsorption-and ion exchange-based techniques provide the most cost-effective conditions for wastewater treatment [66]. Thus, ion and precipitate flotation as adsorptive bubble separation techniques, are economically attractive solutions to be considered for application during wastewater purification, especially when dilute streams are taken into account [62].

Conclusions
The results presented in this paper reveal that the pH of the initial solution is an important parameter governing the flotation mechanism and efficiency. The highest values of the final removal ratio for Al(III), Cu(II), and Zn(II) were noted for a pH range between Downloaded from mostwiedzy.pl 7.0 and 9.0. This pH range corresponds to the precipitate flotation carried out using the anionic collector. Moreover, the regulation of pH value enables the selective flotation of Al(III) for pH values lower than 5.0 using anionic SDS and the selective flotation of Cu(II) for pH higher than 12, using cationic CTAB.
During ion flotation at pH = 3.0, Al 3+ ions are preferentially removed from the solution prior to Cu 2+ and Zn 2+ .
The course of the ion and precipitate flotation processes may be described by the first-order reaction rate equation.
An increase in the collector concentration results in a decrease in the flotation rate constants for investigated metals.
An increase in the flotating air velocity results in an increase in the ion and precipitation flotation rates. Flotation rate constants for Al(III), Zn(II), and Cu(II) are proportional to the gas flow rate in the exponent of 0.78.
For specified process conditions of precipitate flotation, i.e., pH value, collector and metal concentration, air velocity, flotation rate constants for Al(III), Zn(II), and Cu(II) are similar, indicating that these metals are simultaneously removed from aqueous solutions in the form of mixed precipitate, containing hydroxides of above named metals.
It is proposed that further research on the application of ion and precipitate flotation to remove metals should include pilot-scale investigations on real wastewater samples. It is expected that such investigations define the areas of possible utilization of these processes in the wastewater treatment technologies together with deep economic and environmental analyses of benefits from using ion and precipitate flotation techniques. Data Availability Statement: Data available in a publicly accessible repository as well as in a publicly accessible repository that does not issue DOIs. All data referred to in this paper are accessible according to the list of references. All experimental data created by Authors are presented in this paper.

Conflicts of Interest:
The authors declare no conflict of interest.

Appendix A
Processes 2021, 9, x FOR PEER REVIEW 15 of 26 Data Availability Statement: Data available in a publicly accessible repository as well as in a publicly accessible repository that does not issue DOIs. All data referred to in this paper are accessible according to the list of references. All experimental data created by Authors are presented in this paper.

Conflicts of Interest:
The authors declare no conflict of interest.