A. R. S.
Teixeira‡
*ab,
G.
Willig‡
ab,
J.
Couvreur
ac,
A. L.
Flourat
ad,
A. A. M.
Peru
ad,
P.
Ferchaud
e,
H.
Ducatel
e and
F.
Allais
ac
aAgroParisTech, Chaire Agro-Biotechnologies Industrielles (ABI), Centre Européen de Biotechnologie et Bioeconomie (CEBB), 3 Rue des Rouges Terres F-51110, Pomacle, France. E-mail: andreia.teixeira@agroparistech.fr
bUMR GENIAL, AgroParisTech, Inra, Université Paris-Saclay, Massy, France
cUMR 782 GMPA, AgroParisTech, Inra, Université Paris-Saclay, Thiverval-Grignon, France
dUMR 1318 IJPB, AgroParisTech, Inra, Université Paris-Saclay, Versailles, France
eExtractis, 33 Avenue Paul Claudel, 80480 Dury, France
First published on 13th March 2017
In an earlier work by the authors, a new class of non-toxic and renewable bisphenols able to substitute bisphenol A and exhibiting potent antioxidant and antiradical activities has been prepared from ferulic acid through chemo-enzymatic pathways at bench scale. Scaling-up a process is not always trivial and straightforward. Technical feasibility of the synthesis and overall process yield must be assessed. All decisions should be justified regarding technical constraints and environmental sustainability. This work is focused on the kilolab production of bis-O-dihydroferuloyl 1,4-butanediol (BDF), one of the very promising renewable bisphenols. Recrystallization and organic diananofiltration in a single stage (SSD) and two stages (TSD) were compared taking into account the previous considerations. As a result, the synthesis and purification of BDF by recrystallization were successfully scaled-up at the kilolab scale, with a significant improvement in the overall yield obtained (from 63% at the labscale to 84% at the kilolab scale) for a purity grade of 95%. To assess organic diananofiltration as an alternative purification method, a set of 6 commercial organic solvent resistant membranes was evaluated. Starting from a solution (1 g L−1) containing 80% (w/w) of BDF and 20% (w/w) of an excess reagent (ethyl dihydroferulate, EtDFe), GMT-oNF1 membrane showed the ability to discriminate them. A two-stage membrane diafiltration (TSD) in cascade was proposed, with a drastic increase in the product yield observed (from 77% in a single stage to 95%) without compromising its final purity (95%). Since solvent recycling has a significant impact on the process sustainability, a nanofiltration step for solvent recovery was assessed. 90% of the solvent was recovered with a level of impurities lower than 1%. Recrystallization and all filtration-based processes were compared in terms of green metrics such as mass and solvent intensity and energy consumption. Results showed that only the integration of solvent recycling in filtration-based processes and the use of a concentrated starting solution (150 g L−1 instead of 1 g L−1) may lead to similar magnitude values observed for recrystallization. Thus, even being a less energetically intensive process (4-fold), the TSD is still a solvent intensive process (3-fold), which is inevitably reflected in a higher environmental footprint (evaluated by LCA).
Found in all vascular plants, lignins are one of the most abundant and available organic polymers in nature.6 Lignins are composed of three p-hydroxycinnamic monomeric alcohols (aka monolignols) exhibiting various substitutions (p-coumaryl, coniferyl and sinapyl alcohols).7 It has been suggested that ether-linked hydroxycinnamic acids, especially ferulic acid, form bridges between lignin and polysaccharides in cell walls of grasses to ensure the rigidity of biopolymer assemblies.8 Ferulic acid can also be found in several agro-industrial by-products such as wheat and rice brans, sugarbeet pulp and sugarbeet bagasses9 or it can be readily biosynthesized from vanillin.10
Ferulic acid exhibits antioxidative and photoprotective activities,11 making it a promising raw material for the production of renewable bisphenols through a lipase-mediated process as reported previously by the present authors.12 In this study, ethyl dihydroferulate (EtDFe) – a derivative of ferulic acid – was efficiently esterified with various bio-based aliphatic polyols (i.e. isosorbide, 1,4-butanediol, 1,3-propanediol and glycerol) to produce renewable bisphenols – Fig. 1. The latter showed high antiradical/antioxidant activities similar to that of Irganox® 1010, a widely used commercially available additive in polypropylene.13 Thermal gravimetric analysis (TGA) of such bisphenols highlighted their high thermal stability and the possibility of tailoring their Td by playing with the structure of the bisphenol core. The potentialities of using these bisphenols as eco-friendly and biocompatible antiradical additives in the production of renewable copolyesters,14 poly(ester-urethane)s,15 poly(ester-alkenamer)s,16 epoxy resins17–19 and composites20 are quite promising as a bisphenol A substitute. However, the purification of bisphenols is a step of the utmost importance since it may constrict those valuing pathways. In order to drive the reaction equilibrium towards the production of bisphenols, EtDFe must be in excess (>3 eq. per 1 eq. of polyol), thus its post-reaction removal must be addressed to achieve a final high purity degree of bisphenols.
Flash chromatography on silica gel is an efficient laboratory technique widely applied on the purification of molecules from complex mixtures. This technique was successfully used in the purification of bisphenols at the laboratory scale.12 However, it is difficult to scale-up even at the kilolab scale, involving also high loads of solid waste disposal.21 On the other hand, recrystallization is one of the oldest and most common purification processes employed in the chemical industry. Conventional purification steps include the recrystallization and the precipitation of the target molecule, followed by mother liquor distillation for solvent recovery. Within all the macrobisphenols produced in our laboratory (Fig. 1), bis-O-dihydroferuloyl 1,4-butanediol (BDF) is the only one possible of being efficiently recrystallized with warm methanol.14 However, this technique is known for generating large volumes of solute rich waste (mother liquors) which contains impurities as well as dissolved target molecules up to the saturation limit. Mother liquors are generally discarded as waste and, depending on the target molecule solubility, yield losses can be significant. Indeed, GlaxoSmithKline (GSK) reported that in 2007 less than 50% of all solvents used were recovered and that the majority of waste was still being disposed through on-site incineration.22 For a typical batch chemical process, solvent use can account for as much as 80–90% of the total mass in the process.23 Hence, solvents make a major contribution to both the overall economy and potential toxicity associated with the process. Nevertheless, from an industrial point of view, distillation is the most commonly employed method for solvent recovery mainly due to its operating simplicity and predictability. On the other hand, the main drawback is its high energy demand which it is always a function of the solvent boiling point.
Solvent resistant nanofiltration (SRNF) is a straightforward technology for separating solutes present in an organic solvent (at room temperature) as well as for solvent recovery. This technology is based on molecular weight and since no phase change is needed, the process is energetically less intensive than others, such as recrystallization and distillation.21 The molecular weight (MW) of bisphenols produced in our laboratory varies between 432 and 627 g mol−1 (Fig. 1), while EtDFe, a post-reactant reagent in excess, has a MW of 224 g mol−1. Indeed, these MWs fall in the nanofiltration range.24 Hence, EtDFe permeates through the membrane as the bisphenols are retained, making SRNF a promising platform for bisphenol purification. Constant-volume diafiltration is generally employed for removal of impurities; however, a single membrane unit using currently (and limited) available SRNF membranes leads to a significant trade-off between losses and purity. Indeed, there are two main drawbacks of using such a technique: insufficient separation between solutes when purity is of high importance and high solvent consumption.25 Losses can be overcome by adding stages on the permeate side in combination with retentate recycling, thus employing the membrane cascade concept.26,27 In order to minimize the solvent consumption, an additional nanofiltration step (with a suitable membrane) for solvent recovery can be integrated in the process. Under this context, Kim et al.27 showed the advantages of integrating an additional adsorption step, which leads to significant costs, energy savings and reduction of the carbon footprint. Even if distillation is the most commonly employed method for solvent recovery in industry,23 SRNF has been proposed as a low energy alternative which may be coupled to a distillation unit, thus, using the concept of a hybrid process.28
This article reports on the production of BDF, a renewable bisphenol, at the kilolab scale as well as the evaluation of different purification approaches towards their technical feasibility and environmental sustainability. Energy consumption, solvent intensity and carbon footprint of recrystallization and SRNF were evaluated and compared in detail. Furthermore, the present work also addresses the second major challenge of membrane purification, its extensive solvent consumption. In order to minimize the solvent consumption – i.e. decrease the environmental impact and increase sustainability – an additional step of SRNF was integrated in the process. Finally, a life cycle assessment (LCA) was conducted in order to compare the environmental footprint of recrystallization and different configurations of membrane-based processes.
Regarding the overall yield obtained at the lab scale, results showed that it depends on the purification method, thus, in the removal of EtDFe in excess. Indeed, flash chromatography on silica gel eluted with cyclohexane:
AcOEt yields 95% of BDF, with a purity higher than 99% (confirmed by NMR and HRMS, Fig. S2 in the ESI†); while the recrystallization with warm methanol yields 63% of BDF, with a purity of 95% (determined by HPLC, using the BDF produced by flash chromatography as standard). As it can be seen, flash chromatography shows an ideal, almost 100% purification level, at the cost of only a 5% loss of BDF. However, it is the most difficult technique to scale-up even at the kilolab scale and involves high loads of solid waste disposal.21 On the other hand, recrystallization is one of the oldest and most common purification processes employed in the chemical industry. It shows higher product loss (37%), although with an acceptable compensation in the purity achieved (95%, determined by HPLC, using the BDF produced by flash chromatography as standard). This means that recrystallization is a suitable purification method for the scale-up since despite its drawbacks, such as impurity carryover and loss of the product in mother liquor and washing solutions, it still delivers the product in a desired purity and in a crystalline form.
In order to increase the environmental sustainability, greener solvents for recrystallization were tested (data not shown) and applied to the purification of BDF at the kilolab scale. BDF was purified by recrystallization with warm ethanol yielding a BDF production of 84.4%, with a purity of 94.9% (determined by HPLC – Fig. S5 in the ESI;† and the structure was confirmed by NMR – Fig. S3 in the ESI†). The improvement of yield production to 22%, without compromising the purity grade by using a greener solvent, confirms the technical feasibility of BDF synthesis and purification at the kilolab scale. However, it should be highlighted that within all the bisphenols produced in our laboratory (Fig. 1), BDF is the only one possible of being efficiently recrystallized. Thus, an alternative purification method, easily to implement at the industrial scale is highly demanded.
To develop the purification process based on this emerging technology, several SRNF membranes were evaluated (Table 1) at different transmembrane pressures (ΔP). The membrane with the best performance in discriminating BDF (443.5 g mol−1) from EtDFe (224 g mol−1) was tested using two different configurations: single stage diafiltration (SSD) and two-stage diafiltration (TSD). It should be noted that BDF is one of the bisphenols with the lowest MW (Fig. 1) within all the bisphenols produced in our laboratory, thus, the difference of its MW with EtDFe is the lowest. This means that a membrane suitable for BDF purification should be also more efficient in purifying the other macrobisphenols.
Membrane | Manufacturer | T max (°C) | P max (bar) | Cut-offa (g mol−1) | Active layer |
---|---|---|---|---|---|
a Defined as the molecular weight of a molecule that has a 90% rejection (R) by the membrane. b NS: Not specified. | |||||
Duramem 150 | Evonik Industries | 50 | 60 | 150 (in acetone) | Modified polyimide |
Duramem 200 | Evonik Industries | 50 | 60 | 200 (in acetone) | Modified polyimide |
Duramem 300 | Evonik Industries | 50 | 60 | 300 (in acetone) | Modified polyimide |
Duramem 500 | Evonik Industries | 50 | 20 | 500 (in acetone) | Modified polyimide |
GMT-oNF1 | GMT Membrantechnik | 60 | 35 | 327 (R = 88%, in 2-propanol) | Polydimethylsiloxane (PDMS) |
GMT-oNF2 | GMT Membrantechnik | 60 | 35 | 327 (R = 93% in 2-propanol) | PDMS |
Nano 450 | Inopor® | NSb | NS | 450 (in water) | TiO2 |
![]() | ||
Fig. 2 Effect of pressure on the membrane flux using (a) acetone and (b) in an acetone-based solution at a concentration of 1 g L−1, containing 80% (w/w) of BDF and 20% (w/w) of EtDFe. See fitting equations and regression coefficients in Tables S1 and S2 in the ESI.† |
As it can be observed in Fig. 2a, the membranes with the highest acetone fluxes (Duramem 500 and Nano 450) are the ones with a higher cut-off (defined as the molecular weight of a molecule that has a 90% rejection by the membrane, see Table 1). All membranes presented a linear relationship between the flux and transmembrane pressure (as expected using Darcy's equation, eqn (1)), except for the Duramem membranes (Fig. 2). The non-linearity phenomenon was already reported by other authors,30–32 being related to the effect of the compaction procedure on the effective membrane thickness. It was postulated that the increase of the transmembrane pressure makes the top layer penetrate into the supporting porous structure, creating as a consequence a new sublayer that contributes additionally to the resistance of the membrane.
On the other hand, as expected, the membrane fluxes observed in BDF solutions were lower than the ones with pure acetone (Fig. 2) most likely due to the presence of foulant compounds. However, this decrease is more obvious in membranes with a higher cut-off.
Fig. 3 compares the performance of each membrane in the separation of BDF from EtDFe. Duramem 200, GMT-oNF1 and GMT-oNF2 are the membranes with higher BDF rejection (98.7% at 50 bar, 96.4% and 96.5% at 35 bar, respectively). Within these membranes, GMT-oNF1 and GMT-oNF2 are the ones with the lower EtDFe rejection (70.2% and 71.0% at 35 bar, respectively), thus, leading to a better discrimination between those compounds. Furthermore, for both membranes, it can be seen that the variation of BDF rejection with the pressure increase is not significant (lower than 5%); but the rejection of EtDFe is highly dependent on the transmembrane pressure, varying up to 25%. On the other hand, flux is also a factor to be taken into account for membrane selection since it reflects the solvent consumption in the diafiltration.
![]() | ||
Fig. 3 Effect of pressure on the membrane rejection (R) of (a) BDF and (b) EtDFe, in an acetone-based solution at a concentration of 1 g L−1, containing 80% (w/w) of BDF and 20% (w/w) of EtDFe. See fitting equations and regression coefficients in Tables S3 and S4 in the ESI.† |
The use of mass-based model equations (see Appendix A, eqn (8)) along with the experimental BDF and EtDFe rejections and membrane flux enabled the prediction of species concentration during diananofiltration. Differential equations were solved for a 95% purity grade of BDF (eqn (3)) and the respective loss of BDF (eqn (4)) and the amount of fresh acetone to be added to the feed tank (expressed as a number of volumes of diananofiltration, VD) determined. These simulations (Table 2) show that GMT membranes present a similar result at 35 bar in terms of BDF loss (18%). However, the membrane GMT-oNF1 needs a lower amount of acetone to obtain a same purity grade of 95% (VD = 5.1), presenting in addition a behavior more regular with the pressure. Therefore, GMT-oNF1 was the membrane selected for the following diafiltration experiments. According to this simulation, 5.1 volumes of diananofiltration would be needed to obtain a 95% purity grade, resulting in a BDF loss of 18.4%.
A single stage diafiltration leads to a product loss of 23% for achieving a 95% purity grade (comparable to the one obtained using recrystallization at the kilolab scale, 16%). However in the case of diafiltration, losses can be overcome by adding stages on the permeate side in combination with retentate recycling, thus, employing the membrane cascade concept (see the Experimental section, Fig. 11).
In order to warrant the process sustainability, the possibility of solvent recycling should be exploited. Hence, the use of an additional nanofiltration step has been assessed.
Fig. 6 shows that to obtain an acetone with a low percentage of impurities (<1%), the transmembrane pressure must be set at 50 bar, where the rejections of BDF and EtDFe are higher. Under these conditions, the permeate obtained after TSD was concentrated at least 10 times (f = 10). A mathematical model describing the concentration process was simulated (see Appendix B) in order to predict the process performance in terms of solvent purity as a function of the factor concentration (f).
Fig. 7 shows that the simulated values are not in agreement with the experimental data (NRSM = 38%), which may related with the extremely low concentration of impurities to be predicted and a small deviation may lead to high prediction errors. However, it may be observed that it is possible to recover 90% of the solvent used in the diafiltration with a level of impurities lower than 1%. Furthermore, the unreacted EtDFe recovered in the retentate (40% w/w) may probably be reused in the following reaction batches for BDF production. However, the impact of the presence of BDF (reaction product) in the production yield must be evaluated.
Process | Energy intensity | Solvent intensity | E-factor |
---|---|---|---|
a Calculated for a starting acetone-based solution of 1 g L−1 of BDF. b Assuming 90% of solvent recovery. c Calculated for a starting acetone-based solution of 150 g L−1 of BDF. | |||
Recrystallization | 1.81 | 9.3 | 7.3 |
SSDa | 0.14 | 6506 | 5609 |
TSDa | 0.29 | 8705 | 5957 |
TSDa + SRb | 36.7 | 3345 | 596 |
SSDc | 0.10 | 82.5 | 76.4 |
TSDc | 0.09 | 88.6 | 70.3 |
TSD + SRb | 0.43 | 25.3 | 7.0 |
As it can be seen in Table 3, the SSD and TSD processes are less energetically intensive purification methods than recrystallization; however the use of diluted starting feed solutions in filtration-based methods (i.e. 1 g L−1 of BDF) leads to a high solvent consumption as well as the generation of high volumes of wastes (measured as the E-factor). Indeed, even taking into account the additional solvent recovery step (TSD + SR), the large use of solvent to be recovered will be reflected in the increase of the energy demand. So, in order to achieve metric values for filtration-based methods in the same magnitude of recrystallization, the starting solution should be higher. Knowing that the solubility of the starting solution (containing 80% w/w of BDF and 20% w/w of EtDFe) in acetone at room temperature is 170 g L−1 (own measurements), firstly, we must assure that the membrane separation efficiency and, secondly, that the membrane flux at 35 bar are not affected if solutions with high solute concentrations are processed.
Fig. 8 shows how the latter factors are affected if using higher solution concentrations. As expected, the membrane flux (Jv) decreased along with the solution concentration increase and the discrimination between BDF and EtDFe membrane rejections (R) decrease. This means that the membrane performance must be sacrificed in order to achieve a more environmentally sustainable process (Fig. 9). Indeed, the solvent recovery and the use of a higher starting solution concentration allow achievement of environmental impact values more comparable to recrystallization.
![]() | ||
Fig. 8 Membrane flux at 35 bar and different solution concentrations (bar chart). Points represent the membrane rejection (R) for BDF and EtDFe. |
In such a scenario of solvent recovery (Table 3 and Fig. 9), the TSD + SR becomes not only a less energetically intensive purification method (4-fold) than recrystallization, but also achieves the same mass of waste generated (E-factor = 7). Even so, the solvent intensity remains higher (3-fold), confirming, once more, that diafiltration is a solvent intensive technique. On the other hand, it is interesting to compare the difference of the mass of waste (E-factor) to be removed through solvent recovery between SSD and TSD alone (without solvent recovery). In that case, the total waste generated by using SSD and TSD alone is, respectively, 10 and 11-fold higher than in the scenario where the solvent recovery is taken into account (TSD + SR). This observation highlights the importance of the solvent recovery in intensive techniques.
The calculation of environmental footprint (Fig. 9) takes into account the solvent incineration as well as the steam and fossil energy needed for the overall process. However, the main impact comes from the solvent incineration, where the impact from using steam and electricity is less than 1% of the overall footprint (data not shown). This means that even if recrystallization is a more energetically intensive process, it is still a more environmental sustainable process for most of the environmental indicators, since it is less solvent intensive.
Solvent resistant nanofiltration (SRNF) is a straightforward and readily scalable purification technology based on the difference of molecular weight between solutes and impurities. A two-stage membrane cascade configuration (TSD) using the GMT-oNF1 membrane was proposed and applied which drastically increased the product yield (from 77% to 95%) without compromising its final purity (95%). Therefore, TSD showed to be suitable to purify BDF with a higher yield than recrystallization (95% compared to 84%). However, even being a less energetically intensive process (6-fold), it consumes a much larger volume of solvent. In order to overcome such a drawback, the solvent recovery was assessed by using an additional nanofiltration step (with Duramem 150 membrane). This procedure allowed the recovery of 90% of the solvent with a level of impurities lower than 1%.
A comparison of green metrics (E-factor, energy and solvent intensities) between recrystallization and filtration-based processes showed that only the use of a concentrated starting solution in filtration-based processes (150 g L−1 instead 1 g L−1) may lead to similar magnitude values. However, the environmental footprint of filtration-based methods is still higher due to solvent consumption (even considering the additional solvent recovery step). Of course, the selection of a technology for purification will also depend on economic and technical constraints. Even so, once technology selected, LCA may help us in taking decisions to minimize the environmental footprint such as process design and favorable starting solution concentration.
Several batches were carried-out in order to obtain enough quantity to produce bis-O-dihydroferuloyl 1,4-butanediol BDF at the laboratory and kilolab scales.
1. Recrystallization: the crude product was recrystallized from methanol (200 mL). Then, the resulting precipitate was collected by filtration and dried in a vacuum oven at 50 °C.
2. Flash chromatography on silica gel: the crude product was eluted with cyclohexane:
AcOEt 70
:
30 until affording unreacted EtDFe, then a 45
:
55 ratio of the same eluent to provide BDF and finally a 0
:
100 ratio of the eluent to afford the monoester.
UV: λmax (THF, nm) 230, 282 and 325. NMR: δH (300 MHz; CDCl3) 1.61 (4 H, m, H12), 2.59 (4 H, t, 3J(H,H) = 8 Hz, H2), 2.88 (4 H, t, 3J(H,H) = 8 Hz, H3), 3.86 (6 H, s, H10), 4.06 (4 H, m, H11), 5.57 (2 H, s, H13), 6.67 (4 H, m, H5,9), 6.82 (2 H, d, 3J(H,H) = 8 Hz, H8). δC (75.5 MHz; CDCl3) 25.4 (C12), 30.9 (C3), 36.4 (C2), 56.0 (C10), 64.0 (C11), 111.1 (C5), 114.5 (C8), 121.0 (C9), 132.5 (C6), 144.2 (C7), 146.6 (C4), 173.1 (C1) – Fig. S2 (in ESI†).
The system may work under three operating modes:
1. Total recirculation: the permeate is recirculated to the feed recipient by a HPLC pump (model 306, Gilson).
2. Diafiltration: the permeate is continuously removed and the feed volume was held constant with the addition of acetone at the same rate of the permeate removal.
3. Concentration: the permeate is continuously removed and the retentate is recirculated to the feed recipient. As a consequence, the feed volume is reduced.
In all operating modes, the permeate rate is monitored by acquisition of the permeate weight, using an electronic balance with an accuracy of 0.1 g.
Jv = Lp (ΔP − Δπ) | (1) |
Afterwards, 200 mL of a BDF solution (1 g L−1 in acetone, containing 20% of EtDFe) as impurities was placed in the feed recipient and processed at different transmembrane pressures, using the total recirculation operating mode. Table 1 presents the membranes selected for this study. The performance of membrane separation for solute i is quantified using the rejection factor (Ri, %), defined as:
![]() | (2) |
In membrane filtration, the solvent usually permeates faster than the solutes through the membrane. Consequently, there is a buildup of solute very near the membrane surface, resulting in concentration polarization effects.35 The rejection was defined as “observed” in eqn (2) because one consequence of concentration polarization is to make the observed rejection different from the real, or intrinsic rejection. However, for the purpose of this study, it was assumed that the effects of concentration polarization were negligible as the solutions used were quite dilute (1 g L−1), and it was assumed that hydrodynamic turbulence generated at the membrane surface was enough to largely disrupt concentration polarization. In addition, osmotic pressure across the membrane was assumed negligible.
![]() | (3) |
![]() | (4) |
Data of permeability in a solution of BDF (1 g L−1) in acetone and rejections of (4) and (2) at different pressures were taken into account to predict the number of diananofiltration volumes (VD) needed to obtain a BDF purity of 95% (assuming a membrane area of 51.4 cm2) as well as the loss of BDF (eqn (4)) associated with the process. Each 100 mL (initial feed volume) represents one diananofiltration volume (VD), defined as the total volume of permeate collected divided by initial system volume. This dimensionless parameter allows different diananofiltration systems to be compared. The procedure for diafiltration modelling can be found in section 6 – Appendix A.
Membranes were compared according to the purification and the BDF losses criteria.
![]() | (5) |
![]() | (6) |
The calculation of energy consumption per kg of product for recrystallization takes into account the acetone and ethanol heat capacities, the heat of vaporization and condensation while for SRNF-based methods, the energy consumed by the working and recirculation pumps to achieve the working pressure of the process was taken into account, assuming the value of pump efficiency of 30%.
LCA was carried out using Bilan Produit® from ADEME (Agence De l'Environnement et de la Maitrise de l'Energie) and the Université de Cergy-Pontoise.36 This program uses Ecoinvent 2.0 as database and the CML method (Centrum voor Milieukunde de Leyde) for impact characterization. The impact of each process in the global warming potential (GWP, kg of CO2 per kg of BDF), water toxicity (kg of 1,4-dichlorobenzene (DCB) per kg of BDF), acidification (kg of SO2 per kg of BDF), eutrophication (kg of PO4−3 per kg of BDF), photochemical pollution (kg of C2H4 per kg of BDF) and human toxicity (kg of DCB per kg of BDF) was determined.
GWP quantifies the emissions in the air susceptible to participate directly in the climatic global warming; water toxicity describes the effects of toxic substances on the aquatic ecosystems for 100 years; acidification reflects the problems related to acid rains which affect the natural and artificial ecosystems and human infrastructures; eutrophication reflects the enrichment potential of water in nutriments, since the excess leads to a biodiversity decrease in humid zones as well as to a water quality decrease; photochemical pollution is related to the transformation of chemical pollutants into oxidant species due to the effect of sun rays; and finally, human toxicity indicates the exposition effects of toxic substances on humans for 100 years.
![]() | (7) |
The observed rejection of solute i (Robs,i) is defined by eqn (2). Replacing the latter into eqn (7) and assuming a fixed feed volume yields:
![]() | (8) |
This equation can be solved analytically, if assumed that Jv and Robs,i constants. When integrated, the following equation is obtained:
![]() | (9) |
A similar analysis of the two-stage diafiltration was carried out. As the two stages are interconnected, a total of four ordinary differential equations can be written for species i and j in stages 1 and 2:
![]() | (10) |
![]() | (11) |
![]() | (12) |
![]() | (13) |
![]() | (14) |
Taking into account the definition of rejection (eqn (2)), replacing it into eqn (14) and rearranging the equation yields:
![]() | (15) |
Cr3,i,t = Cf3,i,0fteRobs3,i | (16) |
![]() | (17) |
Footnotes |
† Electronic supplementary information (ESI) available. See DOI: 10.1039/c7re00017k |
‡ These authors contributed equally to this work. |
This journal is © The Royal Society of Chemistry 2017 |