Treated Municipal Wastewater Reuse: A Holistic Approach Using

Apr 24, 2019 - Treated Municipal Wastewater Reuse: A Holistic Approach Using Hybrid Ion Exchange (HIX) with Concurrent Nutrient Recovery and CO2 ...
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Treated Municipal Wastewater Reuse: A Holistic Approach Using Hybrid Ion Exchange (HIX) with Concurrent Nutrient Recovery and CO2 Sequestration Chelsey Shepsko, Hang Dong, and Arup K. Sengupta ACS Sustainable Chem. Eng., Just Accepted Manuscript • DOI: 10.1021/ acssuschemeng.9b01357 • Publication Date (Web): 24 Apr 2019 Downloaded from http://pubs.acs.org on April 27, 2019

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Treated Municipal Wastewater Reuse: A Holistic Approach Using Hybrid Ion Exchange (HIX) with Concurrent Nutrient Recovery and CO2 Sequestration

Chelsey S. Shepskoa, Hang Donga, Arup K. SenGuptaa*

a

Department of Civil and Environmental Engineering, Lehigh University, 1 W. Packer

Ave, Bethlehem, PA, 18015, United States

*Corresponding author: Arup K. SenGupta Email: [email protected] Phone: 610-758-3534

1Author

emails:

Chelsey S. Shepsko, [email protected] Hang Dong, [email protected] Arup K. SenGupta, [email protected]

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Abstract As freshwater supplies dwindle globally, large metropolises like Los Angeles and Singapore have made significant progress in municipal wastewater reuse where reverse osmosis (RO) is an integral component of recovery. However, for wastewater plants where inland disposal of RO reject streams is the only choice, nitrate and phosphateladen RO reject streams warrant near-complete removal prior to disposal to avoid eutrophication effects. In addition, hardness removal prior to RO allows maximum recovery without scaling/fouling of the RO membrane. In this study, we present a Hybrid Ion Exchange pre-treatment process that i) allows near-complete recovery of nitrogen and phosphate; ii) removes hardness; and iii) uses CO2 as the only regenerant chemical that is sequestered finally as CaCO3(s). One shallow shell weak-acid cation exchanger (SS-WAC) and a hybrid anion exchanger (HAIX-NanoZr) with specific affinity toward nitrate and phosphate form the heart of HIX-NP recovery process. Studies were conducted using secondary wastewater from the Bethlehem, PA plant and CO2 was the only regenerant used replacing the need for other mineral acids. HIX-NP accomplished near-complete removal of phosphate and nitrate and their recovery in high purity. Thus, feed to subsequent RO is free of N and P posing no major reject disposal for inland treatment.

Keywords: enhanced nitrate and phosphorus removal, hybrid ion exchange, nutrient recovery, water reuse, municipal wastewater, CO2 sequestration

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Introduction: Background and Motivation of the Work The increased population and gradual decrease in the fresh water supply are propelling societies globally to rethink strategies to sustain potable and industrial water supplies to meet the current and future demands. Climate variability has aggravated the crisis further by adversely impacting the reliability of existing fresh water resources. Treated municipal wastewater in cities and metropolises is a water resource that is large, near to the consumption centers, and quite insulated from climate change effects and thus, very resilient. By and large, such municipal wastewaters everywhere are more than 99% pure water. Transforming this huge ‘wastewater’ body into ‘usable’ water offers opportunities to mitigate water shortages especially in arid regions.1,2 In this regard, approaches toward recovery have so far taken different pathways. Because phosphate rock reserves are being depleted at an unsustainable rate3, several studies have been devoted to remove and recover phosphate from municipal wastewater mostly as struvite or MgNH4PO4, a slow release fertilizer.4-10 Also, implementation of nutrient removal and recovery technology in municipal plants will mitigate eutrophication effects that occur when phosphate-laden treated water is discharged to surface waters at levels that allow for the production of algal blooms and their resulting detrimental effects to water bodies (hypoxia, toxicity, loss of habitat, etc.).1113

In water-starved regions including California or Singapore, engineered processes have been underway to recover a bulk of the wastewater for indirect/direct reuse and groundwater recharge.14-16 Understandably, reverse osmosis or RO is an integral part of

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the process as a final barrier for various contaminants with concurrent reduction of salinity or total dissolved solids (TDS). RO processes for municipal wastewater recovery, however, require necessary pretreatment to protect the semi-permeable membrane from scaling and biofouling. Salts of phosphate and sulfate have poor solubility: Ksp or solubility product values of calcium phosphate, calcium sulfate and barium sulfate are respectively 2.03 x 10-33, 4.93 x 10-5, and 1.08 x 10-10. Obviously, an increase in concentration of these electrolytes at the membrane interface at high recovery accompanied by the concentration polarization greatly enhances scaling potential.17-19 Dosing of anti-scaling agents, polyacrylic or phosphonic acid, are practiced universally but they promote biological growth and consequent biofouling on the membrane surface.20 Traditional softening processes for calcium or hardness removal require use of brine or mineral acid as a regenerant, posing disposal problems and new process routes are underway to overcome such shortcomings. 21,22 Since ocean disposal is no longer a feasible option for inland wastewater recovery in arid regions away from the coast, any disposal of the concentrated reject wastewater stream from RO into rivers or lagoons containing high concentration of N and P is unacceptable for their eutrophication potentials and consequent adverse environmental impacts. Conceptually, a pretreatment process that allows phosphate and nitrate recovery while simultaneously eliminating scale-forming constituents like hardness to protect RO membranes without needing externally added chemicals/regenerants will provide a holistic solution toward recovery and reuse of municipal wastewater. This study uses for the first time a hybrid anion exchanger, HAIX-NanoZr, which is concurrently selective toward both nitrate and phosphate. Carbon dioxide, CO2, is the only chemical used in the

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process to remove hardness and maintain optimum pH for enhancement of phosphate recovery. The reject stream from RO at high recovery does not, therefore, contain any disposable waste containing N and P. CO2 used is sequestered by hardness removed during the pretreatment process. The purpose of this work is to offer a pretreatment ahead of RO so that RO reject is free of N and P, avoiding eutrophication from inland desalination reject disposal, and in the same process reduce calcium to eliminate the potential for membrane fouling.

Conceptualized Process: Underlying scientific concept Strong-base anion exchange resins with tri-butyl functional groups prefer monovalent nitrate (NO3-) over divalent sulfate (SO42-).23,24 Zirconium, the 21st most abundant element in the world, is stable, chemically innocuous and non-hazardous. Nanoparticles of zirconium oxide (ZrO2) have unique sorption properties to bind a variety of anionic trace ligands including phosphate through Lewis acid-base interactions (LAB).25,26 In comparison with Al(III) and Fe(III) oxides, ZrO2 is more chemically stable over a wide range of pH and varying redox conditions. Recently, a process of synthesis has been developed and refined to disperse ZrO2 nanoparticles irreversibly within the macropores and gel phase of anion exchange resins and the technique can be easily extended to nitrate-selective anion exchange resins.27,28 Thus, the resulting hybrid ion exchanger, referred to as HAIX-NanoZr, is a robust sorbent material with dual sorption sites: tri-butyl quaternary ammonium functional groups with high affinity toward nitrate and phosphate-selective surface sorption sites of hydrated zirconium oxide (HZrO).

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Furthermore, HAIX-NanoZr is also amenable to regeneration and reuse for multiple cycles. Hydrated zirconium oxide (HZrO) surfaces are amphoteric and their two aciddissociation constants are presented as follows27,29:

ZrOOH2+ ↔ H+ + ZrOOH0

pKa1 = 6.5

ZrOOH ↔ H+ + ZrOO-

pKa2 = 7.8

Figure 1A shows the distribution of HZrO surface functional groups; at pH ≤ 5.0, HZrO surfaces have residual positive charges exhibiting strong affinity toward anionic ligands.25,29 Monovalent phosphate (H2PO4-) will be strongly sorbed onto HZrO surfaces under such operating conditions through concurrent electrostatic (EL) and Lewis acidbase (LAB) interactions. Conversely, at pH ≥ 11, HZrO surfaces turn negatively charged and will, therefore, desorb phosphate through the Donnan exclusion effect.17,20 Nitrate may also be concurrently sorbed onto and desorbed from the quaternary ammonium functional groups along with phosphate even in the presence of sulfate. Figure 1B illustrates how phosphate and nitrate can be very selectively sorbed and desorbed through pH swings. Note that use of KOH results in the spent regenerant solution rich in N, P and K, three essential elements of a fertilizer.

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Figure 1. (A) The distribution of hydrated zirconium oxide surface functional groups illustrating the pH range of sorption and desorption of phosphate; (B) Sorption and desorption processes of the HAIX-NanoZr resin bead.

Synergy through a Weak-Acid Cation Exchanger (WAC) Every municipal wastewater invariably contains alkalinity. Thus, passage through a weak-acid cation (WAC) exchanger helps reduce and maintain pH in the range 4-4.5, providing the highest phosphate removal capacity by HZrO sorption studies. However, WAC needs to be intermittently regenerated with a mineral acid. A recently developed shallow shell weak-acid cation (SS-WAC) exchange resin, where the carboxylate

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functional groups reside primarily in the outer periphery of the spherical beads, is amenable to regeneration by carbon dioxide (CO2). Finally, carbon dioxide is sequestered as CaCO3(s) in the spent regenerant. The proposed innovation using the two-bed hybrid ion exchange process for concurrent phosphate and nitrate recovery in conjunction with hardness removal is illustrated in Figure 2. Note that CO2 is the only chemical used in the process and KOH used as the regenerant for HAIX-NanoZr is fully recovered as N-P-K fertilizer. No other waste is produced in the process. The first column consists of shallow-shell weak-acid cation (SS-WAC) resin with carboxylate functional groups followed by the second column containing HAIX-NanoZr.

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Figure 2. A schematic depicting the enhancement of phosphate and nitrate removal capacities by the two-bed HIX-NP system with concurrent reduction in hardness aided by CO2.

The service and regeneration steps of the process proceed as follows:

Service Cycle: Alkalinity constituted by hardness is selectively removed by the SS-WAC resulting in the lowering of pH in the range of 4.0-4.5:

2RCOOH + Ca2+ + 2HCO3- → (RCOOˉ)₂Ca²⁺ + 2H2CO3 ↑

(1)

The overbar denotes the exchanger phase. Both phosphate and nitrate are removed concurrently by the HAIX-NanoZr with its dual functional groups as follows:

ZrOOH2+ + H2PO4- → ZrOOH2+ ─H2PO4-

R₄N⁺Clˉ + NO3- → R₄N⁺NOˉ₃ + Clˉ

(2)

(3)

Reactions during the service cycle not only enhance P and N removal capacity, but also achieve hardness removal and partial desalination due to alkalinity reduction. The treated wastewater, thus free of hardness and phosphate, is well suited for desalination by reverse osmosis and requires no dosing of anti-scaling agents.

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Regeneration Cycle: Use of CO2 under pressure is used to regenerate the weak-acid cation exchanger while KOH is the preferred regenerant for HAIX-NanoZr. The prevailing reactions are as follows:

For SS-WAC:

For HAIX-NanoZr:

(RCOOˉ)₂Ca²⁺ + 2H2CO3 → 2RCOOH + Ca2+ + 2HCO3-

ZrOOH2+─H2PO4- + 4OH- →

ZrOOˉ + PO₄³ˉ + 4H2O

R₄N⁺NO₃ˉ + OH- → R₄N⁺OHˉ + NO3-

(4)

(5)

(6)

Rectangular shades denote surface sorption sites of hydrated zirconium oxide (HZrO). The spent regenerant from HAIX-NanoZr is rich in N, P, and K and CO2 used for regenerating SS-WAC is sequestered by calcium eluted. The goals of the study were to validate the basic premise of the conceptualized HIXNP process using secondary wastewater from the Bethlehem Wastewater Plant (BWWP) in Pennsylvania and specifically investigate the following: 1. An enhancement in selective phosphate and nitrate removal with concurrent hardness removal; 2. Simultaneous recovery of phosphate and nitrate using KOH as the sole regenerant; 3. Efficient use of CO2 as a regenerant and its consequent sequestration.

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Experimental Section Ion exchange column runs and resins Fixed-bed column runs for the HIX-NP system were carried out using a bench-top scaffold with two 300 mL stainless steel columns and one 10 L CO2 regeneration tank (designed to withstand pressure up to 20 bar) along with a constant flow rate pump (Masterflex) and a fractional collector (Eldex). A photograph of the schematic of the bench-top system is shown in Supporting Information Figure S1. Purolite Co. provided macroporous SSTC104 resins with carboxylic acid functional groups for the WAC column and strong-base A520E nitrate-selective anion exchange resin. Supporting Information (Table S1 and Table S2) provide additional technical details about the two materials. Purolite A520E was loaded with zirconium oxide in accordance with the procedure described earlier.29 The empty bed contact time and superficial liquid velocity were recorded for each run and remained constant throughout multiple cycles at 5 minutes and 0.60 m/hr.

Chemical analysis, sorption studies and resin characterization The influent wastewater for the column runs was taken from a 50 L batch sample from the Bethlehem Wastewater Treatment Plant in Bethlehem, PA that was filtered through an 11 µm filter and stored in the refrigerator at 4°C prior to the runs. Phosphorus was analyzed using a Perkin Elmer Optima 2100DV ICP-OES. Calcium and potassium were analyzed by a Perkin Elmer AAnalyst200 Atomic Absorption Spectrometer (AAS). Nitrate, sulfate, and chloride were measured using the Dionex Ion Chromatography (ICS-

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1000) with an IonPac® AS14 column. Alkalinity was measured by titration with 0.02 N sulfuric acid. Zeta potential and the zero point charge (ZPC) for zirconium oxide precipitates were measured using the Malvern Zetasizer Nano ZS with MPT-2 Titrator using NaNO3 at 0.1M ionic strength. A batch isotherm test was conducted to determine the phosphorus removal capacity of HAIX-NanoZr as a function of pH.24 To characterize the distribution of elements throughout both WAC and HAIX-NanoZr resins between service and regeneration cycles, cross sections of the beads (exhausted and regenerated) were prepared by microtomy and then analyzed by scanning electron microscopy (Model Hitachi JSM-4300) with energy dispersive x-ray (SEM-EDX) spectroscopy.

Results Phosphate sorption and effect of pH Figure 3A shows pH effects of two separate experimental results superimposed in the same plot: zeta potential of hydrated zirconium oxide (HZrO) particles and phosphate removal capacity of HAIX-NanoZr.

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Figure 3. (A) Phosphorus removal capacity of HAIX-NanoZr and zeta potential of the hydrated zirconium oxide particles as a function of pH; (B) Comparison of phosphate effluent histories and (C) pH from i) HAIX-NanoZr column alone and ii) SS-WAC column followed by HAIX-NanoZr fed with Bethlehem secondary wastewater. (Influent composition: 5 mg/L P, 65 mg/L NO3-, 32 mg/L SO42-, 83 mg/L Cl-, 48 mg/L Ca2+, 487 mg/L TDS, pH 7.1)

It is apparent that both zeta potential (positive mV) and P removal capacity exhibited identical effects of pH i.e., both increased with a decrease in pH. Thus, an engineered process operated at pH around 4.0-4.5 would result in substantially higher P removal

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capacity. At the same time, an increase in pH, especially at pH≥ 11, will completely desorb P in agreement with Figure 1A. Note that the pH of the zero point charge lies around 8.0 in agreement with information in the literature.29 Two separate column runs were carried out using secondary wastewater from the Bethlehem plant. In one run, a single column with HAIX-NanoZr was used alone and for the other HAIX-NanoZr was preceded by SS-WAC in agreement with the process schematic in Figure 2. Figure 3B presents a comparison of the performance of the columns under otherwise identical conditions. Note that significantly higher phosphate removal was accomplished by placing a SS-WAC column ahead of HAIX-NanoZr, all other conditions including the feed wastewater composition remaining identical. While 20% phosphate breakthrough (i.e., C/C0 = 0.2) occurred at approximately 400 bed volumes for HAIX-NanoZr alone, over 1200 bed volumes of wastewater were treated for an identical phosphate breakthrough for the combined SS-WAC and HAIX-NanoZr system. Figure 3C shows that pH after the SS-WAC column was consistently between 4.0 and 5.0 resulting in higher phosphate removal capacity by HAIX-NanoZr.

Multiple Cycle Two-Bed Column Runs Figures 4A, 4B and 4C show effluent histories of P, nitrate, and calcium for three consecutive column runs using secondary wastewater from the Bethlehem plant. While calcium is removed in the first SS-WAC column, phosphate and nitrate are simultaneously removed by the HAIX-NanoZr with dual functional groups. Samples of wastewater feed and treated water were collected after 200 bed volumes and Figure S2 in Supporting Information shows their concentrations. Note that the removal of all three constituents,

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namely, phosphate, nitrate and hardness are nearly complete compared to their concentrations in the feed.

Figure 4. Three successive effluent history plots of (A) phosphorus, (B) nitrate (with one sulfate effluent history curve for comparison), and (C) calcium using secondary wastewater from the Bethlehem Wastewater Treatment Plant in Bethlehem, PA. (Influent composition: 2.4 mg/L P, 100 mg/L NO3-, 32 mg/L SO42-, 69 mg/L Cl-, 50 mg/L Ca2+, 466 mg/L TDS, pH 7.0.)

Effluent histories were nearly the same for three consecutive cycles confirming the longterm sustainability of the process. Figure 4B shows that sulfate broke through before nitrate confirming higher nitrate selectivity over sulfate. Calcium was removed by the SS-

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WAC column and the pH dropped moderately due to the concurrent production of carbonic acid according to Equation 1:

2RCOOH + Ca2+ + 2HCO3- → (RCOOˉ)₂Ca²⁺ + 2H2CO3 ↑

(1)

Suppression of pH in turn enhanced phosphate removal capacity. Figure 4A clearly shows that even in the presence of much higher concentration of sulfate and chloride, phosphate removal was quite selective and less than 10% P broke through after 800 bed volumes of treatment of the feed wastewater.

Regeneration and recovery of nitrate and phosphate After each cycle, the HAIX-NanoZr column was regenerated with 2% KOH and Figures 5A and 5B show phosphate and nitrate elution profiles for three consecutive cycles during regeneration. In less than eight bed volumes, more than 90% recovery of phosphate and nitrate were accomplished; the spent regenerant contained primarily N, P, and K, three critical elements for an efficient fertilizer. The observation that phosphate and nitrate effluent histories remained nearly identical for three successive column runs as shown in Figures 4A and 4B demonstrates that the sorption-desorption cycle of HAIXNanoZr is sustainable for long-term application.

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Figure 5. Three successive regeneration elution curves of (A) phosphorus and (B) nitrate using KOH as the regenerant solution. (C) Recovery factors of N, P and Cl in the spent regenerant.

In order to further assess the effectiveness of N and P recovery, a recovery factor, Ri, was calculated for anions of interest; Ri is the dimensionless ratio of concentrations of N, P or chloride (Cl-) in the concentrated regenerant over their concentrations in the secondary wastewater from the Bethlehem plant i.e.,

𝐶𝑅𝑖

Ri = 𝐶𝐹 𝑖

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(7)

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where CRi and CFi are the concentrations of element “i” in the regenerant solution and the feed water respectively. Figure 5C shows RN and RP values for three consecutive cycles along with RCl. Significantly greater than unity values for RN and RP demonstrate that they are well concentrated in the recovered regenerant. In contrast, RCl values are much lower than unity i.e., P and N are the most predominant species in the recovered regenerant.

CO2 regeneration, concurrent sequestration and phosphate binding Calcium loaded SS-WAC was regenerated at three different CO2 pressures and calcium recoveries were recorded. Figure 6A demonstrates how the efficiency of regeneration or calcium desorption consistently improved with an increase in partial pressure of CO2 from 3.4 atm to 6.8 atm and then to 10.2 atm. Furthermore, calcium desorbed was stoichiometrically sequestered by CO2 and the bulk of calcium precipitated as CaCO3(s) outside the column as shown in Figure 6B. No CaCO3 precipitate was observed within the SS-WAC column during regeneration and it took nearly 30 minutes before the precipitation was initiated in the spent regenerant.

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Figure 6. (A) Calcium recovery (RCa) during regeneration with CO2 as the sole regenerant at 3.4 atm, 6.8 atm, and 10.2 atm; (B) Delayed precipitation of CaCO3 in the SS-WAC spent regenerant over time; (C) SEM-EDX maps of Zr from a parent HAIX-NanoZr resin bead and of P and Cl from an exhausted bead.

In an attempt to reconcile the experimental data with the scientific hypothesis of phosphate sorption, slices of both parent and exhausted HAIX-NanoZr were characterized as shown in Figure 6C by SEM-EDX mapping which shows i) Zr in the parent bead; ii) P in the exhausted bead and iii) chloride in the exhausted bead. Note that the presence of Zr in the parent resin and P in the exhausted resin merge with each other implying phosphate is adsorbed almost solely by zirconium oxide nanoparticles 17 ACS Paragon Plus Environment

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irreversibly dispersed within the anion exchange resin. On the contrary, chloride is distributed throughout the bead, thus confirming that quaternary ammonium groups of the parent anion exchanger are the primary sorption sites for chloride anions. It is increasingly well recognized that specific applications of recovered water may warrant removal of trace pharmaceutical products often present in municipal wastewater. Supporting Information (Table S3) includes the names and formulae of commonly encountered pharmaceutical products most of which are essentially hydrophobic ionizable organic compounds (HIOCs).24,30 Figure S3 (Supporting Information) demonstrates how an anion exchange resin with polystyrene matrix selectively removes ibuprofen from spiked Bethlehem secondary wastewater. Removal of diclofenac by strong-base anion resins has also been recorded previously.31 Thus, the HIX-NP process may be amended and adapted to address removals of trace pharmaceutical products, if needed.

Discussion Sustainability issues RO reject streams from wastewater recovery plants in both San Diego and Orange County, rich in nitrate and phosphate, are routinely discharged into the Pacific Ocean. Note that for 80-90% recovery, nitrate and phosphate concentrations in the reject are approximately 5-10 times greater than the feed wastewater. For inland wastewater recovery, however, ocean disposal is not an option and disposal into rivers or other natural water bodies will be unacceptable due to the reject stream’s high N and P content. In this study, using real secondary wastewater from the Bethlehem plant in Pennsylvania,

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we demonstrated potential opportunities of a new process that i) selectively and concurrently removes and recovers both nitrate and phosphate (Figures 4A and 4B) in highly purified form; ii) eliminates hardness with partial reduction in TDS (Figure 4C and Figure S4 in Supporting Information) and iii) avoids producing any secondary waste stream like residual brine (or acid) often used in pretreatment. The process uses only fixed-bed columns and is simple to operate. HAIX-NanoZr used in the process was synthesized using a nitrate-selective anion exchange resin containing tri-butyl ammonium functional groups and similar products are now commercially available. The spent regenerant, rich in N, P and K, contains a negligible amount of chloride and may thus be directly applied as a liquid fertilizer or added to other commercially available fertilizers. Since hardness is removed almost completely, no dosing of anti-scaling chemicals is warranted. The other distinctive feature of the proposed process is the use of CO2 as a viable regenerant for the weak acid cation exchanger (SS-WAC) instead of mineral acid. As a result, the regenerant wastewater generated in the HIX-NP process does not contain any additional mineral salts. Furthermore, calcium regeneration is concurrently accompanied by sequestration of two moles of CO2 for every mole of Ca2+ according to the following stoichiometry:

+

(RCOO - )𝟐Ca2 + 2H2O + 2CO2 ↔2RCOOH + Ca2+ + 2HCO3-

(4)

Using this stoichiometry and considering BWWP capacity of 10 MGD, Equation 4 represents sequestration over 1.5 million kg of carbon dioxide annually which otherwise 19 ACS Paragon Plus Environment

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was not possible if a mineral acid were used instead for the regeneration of the weakacid cation (WAC) resin. Process scalability The role of CO2 pressure on the efficiency of regeneration of the HIX-NP process is an important process variable that needs to be quantified for scale-up. The equilibrium constant for CO2 regeneration in Equation 4 may be written as:

Koverall =

[(RCOOH)]𝟐[Ca2 + ][HCO3- ]

𝟐

[(RCOO ― )𝟐Ca2 + ]P2Co2

(8)

Upon dissolution in water, carbon dioxide or CO2 produces carbonic acid (H2CO3) which further dissociates into bicarbonate (HCO3-), often referred to as alkalinity. The equilibrium relationships can be presented as follows:

CO2(g) + H2O ↔ H2CO3,

KH (Henry’s constant)

H2CO3 ↔ H+ + HCO3-,

Ka1 (First acid dissociation constant)

(9)

(10)

Also, the core ion-exchange reaction for regeneration essentially involves replacing calcium with hydrogen ions i.e.,

(RCOOˉ)₂Ca²⁺ + 2H+ → 2RCOOH + Ca2+,

KIX (Ion exchange equilibrium constant) (11)

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The overall regeneration reaction in Equation 4 essentially involves Equations 9 to 11 and Koverall can be presented as

Koverall = K2HK2a1KIX

(12)

Where KH, Ka1, and KIX are Henry’s constant for carbon dioxide dissolution in water, the first dissociation constant of carbonic acid, and the equilibrium constant for the ion exchange between hydrogen and calcium ions respectively. Combining Equations 8 and 12, now we get

[Ca2 + ][HCO3― ]𝟐 = K2HK2a1KIX

[(RCOO ― )𝟐Ca2 + ] [(RCOOH)]𝟐

P2Co2

(13)

Under the condition of electroneutrality considering ideality,

2[Ca2 + ] ≈ [HCO3― ]

(14)

and for any given percentage regeneration efficiency, the calcium and hydrogen loading on the resin is constant, and Equation 13 can be simplified as

[Ca2 + ] = constantP2/3 Co2

Converting to log form,

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(15)

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log[Ca2 + ] = 0.67logPCO2 + log constant

Page 24 of 32

(16)

Equations 15 and 16 depict enhancement of calcium concentration with an increase in carbon dioxide partial pressure during regeneration, and their relationship is linear in a log-log plot with a slope of 0.67. From the experimental regeneration data in Figure 6A for three different CO2 pressures (3.4, 6.8 and 10.2 atmosphere), moles of calcium eluted were determined. Figure 7 shows the plot of calcium eluted versus corresponding CO2 partial pressure during regeneration runs.

Figure 7. Log-log plot of eluted calcium concentrations versus partial pressures of CO2 from the experimental data.

Note that the plot of logCa2+- logPCO2 in Figure 7 has a slope of 0.65, which is quite close to the predicted value of 0.67 in Equation 16. Equation 16 can thus be used as a rational design basis for scale-up of the CO2 regeneration system.

Acknowledgements 22 ACS Paragon Plus Environment

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This work was partially supported by the Pennsylvania Infrastructure Technology Alliance (PITA) from the Commonwealth of Pennsylvania. Also, support from the Water Innovation Network for Sustainable Small Systems (WINSSS) at the University of Massachusetts−Amherst (2017−2018) is gratefully acknowledged. Supporting Information HIX-NP

process

set-up,

Purolite

SSTC104

characteristics,

Purolite

A520E

characteristics, influent/effluent comparison, pharmaceutical products, ibuprofen effluent history, TDS effluent history. References (1) Davis, J. R., Chen, Y., Baygents, J. C., & Farrell, J., 2015. Production of acids and bases for ion exchange regeneration from dilute salt solutions using bipolar membrane electrodialysis. ACS Sustainable Chemistry & Engineering 3(9), 2337-2342. https://doi.org/10.1021/acssuschemeng.5b00654.

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For Table of Contents Use Only

Synopsis For inland wastewater recovery, HIX-NP offers opportunities to remove and recover nitrate and phosphate, simultaneously reducing risks from reject disposal.

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