Process for recovering organic acids from aqueous salt solutions
BACKGROUND OF THE INVENTION 
     Various membrane systems can be used to separate chemicals of different species. Often they are used to remove water from a dilute solution to produce a concentrated product. Sometimes other species are removed with the water. 
     Reverse Osmosis (RO) is a crossflow membrane technology that was developed more than 35 years ago. A typical membrane is synthetic polymer coated onto a backing material so as to create pores that are only a few Angstoms in diameter. Purified water passes through the membrane and other contaminants are rejected or retained by the membrane. Membrane materials include cellulose acetate (CA), polyamide (PA), and sulfonated polysulfone (SPS). 
     The typical RO system feeds impure water at high pressure to the one side of the membrane and removes purified water from the other side of the membrane at low pressure, near atmospheric. The greater the driving force, the better the flow of water and the greater the separation effectiveness of salts such as sodium chloride from the water. The high pressure side product is thus depleted of water, and if left containing a more concentrated solution of the salts. This is called the retentate. The low pressure side contains the purified water and is called the permeate. 
     As the salt is rejected by the RO membrane, the osmotic pressure on the retentate side increases. This means that the water is increasingly retained on the retentate side by attraction to the salt species. Thus it is often necessary and desirable to use high pressures on the retentate side and low pressures on the permeate side to allow greater concentration of the retentate. In addition, the greater the trans-membrane pressure, the higher the flux. 
     Often RO membranes are designed to try to reject all salts and organic species except water. A typical water purification system may run at 400-600 psig on the retentate side and 5-10 psig on the permeate side. For example, hollow fibre membrane bundles use small fibres to withstand the high retentate side pressure and an economical plastic housing on the permeate side to collect the purified water. 
     Nanofiltration (NF), ultra-osmosis (UO), and loose reverse osmosis (loose RO) are all terms used to describe membranes that permeate some low molecular weight materials or salts while retaining others. The present description and specification will use NF to represent all of these processes. They are very similiar to RO. Some common NF membranes are used to permeate water and sodium ions and chloride ions, while rejecting (and thus retaining) calcium salts and also retaining sugars such as lactose. 
     Organic acid recovery from salts is necessary for purification of fermentation broths, neutralized wood processing wastes for example such as those containing sodium acetate, and memory other organic acid streams. Organic acids are present in streams such as fermentation broths, pulping waste streams, citrus processing waste streams. This invention applies to streams containing salts of organic acids that are in the pH range 3 to 8. 
     Acids by fermentation can be produced by the continuous or batch fermentation of sugars or other biomass streams such as hydrolysed starch, sulfite waste liquor, or cheese whey. For example lactic acid can be produced by the continuous or batch fermentation of sugars or other biomass streams such as hydrolysed starch, sulfite waste liquor, or cheese whey. For a rapid and economic fermentation, the pH of the broth is usually maintained in the rage of 4.5 to 7.5 by either 
     (a) continuously removing lactic acid such as by extraction, or membranes, or ion exchange, or electrodialysis, or 
     (b) continuously adding a base such as aqueous ammonia, calcium carbonate, calcium hydroxide, or sodium hydroxide, or 
     (c) starting the fermentation with a growth medium with substantial buffering capacity, such as a calcium carbonate slurry. 
     In case (a) the fermentation is integrated with the first step of the product recovery process. At a pH of 5 to 7 at 30°-50° C., the lactic acid is present mainly as lactate salts rather than free acid. 
     In cases (b) and (c) and in some variants of case (a) above, the fermentation product is a crude aqueous broth at pH 4 to 8 containing 1 to 20% weight lactate salts, together with impurities such as medium components, neutralizing agent impurities, biomass, and salts of other acids. In each case, the fermentation broth may or may not have the fermentation micoorganisms or enzyme slurry removed by methods such as centrifugation, membranes processes, coagulation, or other methods, and this removal may take place during or after the production of the crude fermentation broth. 
     Other typical organic acids and microorganisms for their production that are disclosed by Atkinson and Mavituna (Biological Engineering and Biotechnology Handbook p 421 (1983)) Nature Press, are as follows: 
     
         ______________________________________                                    
                One example of a microorganism                            
Acid            that can produce this acid                                
______________________________________                                    
Acetic acid     Acetobacter acetii                                        
L-allo-isocitric acid                                                     
                Penicillium purpurogenum                                  
beta-Arabo-ascorbic acid                                                  
                Penicillium notatum                                       
Citric acid     Aspergillus niger                                         
                Candida lipolytica                                        
Fumaric acid    Rhizopus delemar                                          
Gluconic acid   Aspergillus niger                                         
L-isocitric acid                                                          
                Candida brumptii                                          
Itaconic acid   Aspergillus terreus                                       
2-ketoglyconic acid                                                       
                Pseudomonas fluorescens                                   
5-ketogluconic acid                                                       
                Gluconobacter suboxydans                                  
alpha-ketoglutaric acid                                                   
                Candida hydrocarbofumarica                                
Kojic acid      Aspergillus oryzae                                        
Lactic acid     Lactobacillus delbruckeii                                 
Malic acid      Lactobacillus brevis                                      
Propionic acid  Propionibacterium shermanii                               
Pyruvic acid    Pseudomonas aeruginosa                                    
Succinic acid   Bacterium succinicum                                      
Tartartic acid  Gluconobacter suboxydans                                  
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     This invention pertains to salts of organic acids including salts of aliphatic monocarboxylic acids containing 1 to 5 carbon atoms, e.g. formic acid, acetic acid, propionic acid, butyric acid, and pentanoic acid; salts of aliphatic alpha hydroxy monocarboxylic acids containing 2 to 4 carbon atoms, e.g. hydroxyacetic acid, lactic acid and alpha hydroxy-butyric acid; salts of aliphatic beta hydroxy monocarboxylic acids containing 3 or 4 carbon atoms, e.g. 1-hydroxy-3-propionic acid and beta hydroxy butytric acid; salts of olefinic monocarboxylic acids containing 3 to 4 carbon atoms such as acrylic acid and methacrlyic acid; and salts of dicarboxylic acids containing 3 to 4 carbon atoms such as succinic acid. 
     Some of the problems of organic acid recovery from salts include: 
     (a) Purity -- Often a high purity product is required. Many processes require many steps to achive this purity 
     (b) Thermal processing -- Any process that requires thermal processing as part of the purification sequence will likely generate undesirable reaction products and/or precipitates. 
     (c) Base recovery -- Many processes require addition directly or indirectly of a strong inorganic acid such as hydrochloric acid or sulfuric acid to release the organic acid from its salt. These processes generate a new dilute or concentrated solution containing the salt of the new inorganic acid. For example calcium lactate is contacted with sulfuric acid to release lactic acid and to produce calcium sulfate which precipitates. The calcium sulfate must then be removed and dealt with. Calcium hydroxide or calcium carbonate is not readily recovered for reuse from this process. 
     Electrodialysis can separate the organic acid salt into free acid and regenerated base which can be re-used for fermentation or other pH control needs. These processes require elaborate membrane systems and typically have significant electricity costs. 
     (d) Cost -- a simple, low temperature, solids-free process is likley to give the lowest cost. 
     (e) Complexity -- a simple process that leads directly to a high purity product is desirable. 
     Another important separation process involves weak organic base recovery. This is the inverse of the case of organic acid recovery. Instead of recovering the organic acid from its salt solution, recover the organic base from its salt solution is recovered. For example, consider the case of the recovery of amines used to scrub acid vapors. Here an amine such as ethylamine may be contacted with an acid such as HCL to scrub the acid from vapor. The resultant solution of the chloride salt of the amine must then be recovered and regenerated for re-use. 
     Still another important area is amino acid recovery. Amino acids such as lysine may be produced by fermentation. In these processes, the pH is often controlled to aid performance of the fermenting micro-organisms. Amino acids are called amphoteric, in that they have both acidic and basic groups. All amino acids have a common formula: 
     
         HOOC--CR.sub.1 R.sub.2 --NH.sub.2 
    
     where R 1  and R 2  are simple or complex side groups. If the pH of the broth is controlled with ammonia, then the resultant species in solution will be 
     
         [NH.sub.4 ]+--[OOC--R.sub.1 R.sub.2 --NH.sub.2] 
    
     Separation of the free amino acid from the salt is often done by various means including ion exchange. In the current invention, there is show and described a new way to recover amino acids. 
     Shimshick (1981) U.S. Pat. No. 4,250,331 reports a supercritical extraction-acidification process for recovering carboxylic acids from dilute aqueous solutions of alkali metal salts of such carboxylic acids. Feed solutions are mixed with 10 to 1000% of a supercritical solution comprising at least 10 mole carbon dioxide. The salt reacts with the carbon dioxide to form the carboxylic acid which dissolves in the supercrical fluid phase. The aqueous and supercritical phases are then separated. The pressure of the supercritical phase is then lowered so that an acid phase is formed separate from the supercritical phase, whereby the acid is recovered. This differs extensively from the current invention. The current invention does not use extraction, does not require use of supercritical conditions, but only requires use a membrane system. 
     Yates (1981) U.S. Pat. No. 4,282,323 reports a sub-critical extraction acidification process, very similiar to that of Shimshick. The key difference is that the Shimshick patent uses supercritical carbon dioxide as the extracting solvent, whereas the Yates patent uses a polar organic extracting with carbon dioxide under pressure. 
     Donohue et al (1989) report using a cellulose acetate membrane to separate carbon dioxide -- methane gas mixtures. They found that the permeability of carbon dioxide through the membrane increased dramatically with pressure. They believed that this was due to plasticization of the cellulose acetate by the carbon dioxide. 
     Awadalla et al (1994) used membranes to remove ammonium and other ionized species from mining waste water. They report that reverse osmosis membranes (the exact type was not specified) were found to provide good rejection of ammonium ion (&gt;99%) while poor rejection of free ammonia (10-30%). Here we see that a membrane system can be used to achieve a pH dependent separation. 
     Some membranes exhibit excellent rejection of free acid form of organic acids, and others exhibit poor rejection. Examples are 
     
                       TABLE 1                                                     
______________________________________                                    
Examples of some membranes                                                
exhibiting excellent rejection (% rej) of free acids                      
                          Feed                                            
                          conc                                            
Membrane       Solute     wt %    % Rej                                   
______________________________________                                    
Polyamide (FT-30)                                                         
               acetic acid                                                
                          0.07    92                                      
Polyamide (FT-30)                                                         
               butyric acid                                               
                          0.09    95                                      
TFC (PCI ZF99) lactic acid                                                
                          1.0     90-95%                                  
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                       TABLE 2                                                     
______________________________________                                    
Examples of some membranes                                                
exhibiting poor rejection (% rej) of free acids                           
                         Feed                                             
                         conc                                             
Membrane      Solute     wt %    % Rej                                    
______________________________________                                    
Cellulose acetate                                                         
              acetic acid                                                 
                         1.0     7                                        
Cellulose acetate                                                         
              lactic acid        20-40%                                   
(CA-97)                                                                   
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                       TABLE 3                                                     
______________________________________                                    
Examples of membrane exhibiting poor rejection                            
(% rej) of free base but good rejection of ionized base                   
Methylamine removal                                                       
______________________________________                                    
acidic solution                                                           
               98% removal                                                
basic solution 50% removal                                                
______________________________________                                    
 NS-100 membrane microporous polysulfone coated with polyethylenimine whic
 is crosslinked with mtolylene-2,4-diisocyante.                           
 
    
     
                       TABLE 4                                                     
______________________________________                                    
Literature Data for acetic                                                
acid/acetate and a NS-100 membrane.                                       
% Dissociation          % Removal                                         
of acetate       pH     of acetate                                        
______________________________________                                    
.99              6.75   97%                                               
.80              5.36   80%                                               
.40              4.58   50%                                               
.20              4.15   42%                                               
.01              2.76   30%                                               
______________________________________                                    
 
    
     
                       TABLE 5                                                     
______________________________________                                    
Literature Data for separation of lactic acid                             
from lactate using an HC-50 polyamide on                                  
polysulfone thin film composite membrane.                                 
1% w/w lactic acid solution                                               
            % dissociation                                                
                        % rejection                                       
pH          of lactate  of lactate                                        
______________________________________                                    
6.00        99.9%                                                         
4.93        98.6%       80%                                               
4.43        95.8%       72%                                               
3.93        87.9%       60%                                               
3.45        70.6%       43%                                               
2.88        39.2%       32%                                               
2.00        7.8%                                                          
______________________________________                                    
 
    
     
                       TABLE 6                                                     
______________________________________                                    
Literature Data for separation of acetic acid from                        
water and for separation of sodium acetate from                           
water using a DuPont Hollow Fibre B-9 permeator,                          
at 500-680 ppm feed concentration                                         
            % dissociation                                                
                        % rejection                                       
pH          of acetate  of acetate                                        
______________________________________                                    
8.1         99.95%      98%                                               
3.7         8.06%       40%                                               
______________________________________                                    
 
    
     SUMMARY OF THE INVENTION 
     This invention relates to a process for recovery of purified acid from crude or partially purified broth containing acid and basic salt of acid, comprising the following: 
     1. acidifying a crude or partially purified broth with pressurized carbon dioxide; 
     2. separating the acid from the broth using a reverse osmosis membrane or other suitable membrane which rejects salts of the organic acid but permeates the acid form, this step is done with CO 2  present and optionally with some backpressure maintained on the permeate side to prevent CO 2  gas release on the permeate side; 
     3. collecting the permeate and retentate -- and optionally letting the pressure down so that the CO 2  gas is released. 
     The retentate stream may be recycled for reuse as a neutralizing agent. The permeate stream may be used as is, or concentrated and purified further. 
     The invention pertains to the purification of any crude broth containing a mixture of salts of organic acid and free acid itself, regardless of the exact sequence of steps used to prepare the crude broth. The invention can also be extended to the case of organic base recovery and to the case of amino acid recovery. 
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS 
     The drawings illustrate the best mode presently contemplated of carrying out the invention. 
     In the drawings: 
     FIG. 1 is a schematic diagram of a single stage process for recovering organic acids from an aqueous solution in accordance with the present invention; and 
     FIG. 2 is a schematic diagram of a multi-stage process for recovering lactic acid from an aqueous crude fermentation broth containing sodium lactate in accordance with the present invention. 
    
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT 
     One form of the invention is shown in FIG. 1. In FIG. 1 a feed line 1 containing an aqueous solution of organic acid and salts thereof is mixed with carbon dioxide in line 2 under pressure and fed via line 12 to membrane system 3. The permeate, material which passes through membrane 13 in system 3, is withdrawn via line 4. The retentate exits from the membrane system 3 via line 5 with significant backpressure, controlled by valve 6. In one form of the invention, where the membrane 13 has high carbon dioxide permeability, the permeate in line 4 is retained under backpressure using backpressure valve 7. In one form of the invention, makeup water can be added via line 8 at one or several points along the length of the retentate side of the membrane system 3. In another form of the invention, makeup water or other solvent may be added to the permeate side via line 9 to help carry off permeated product in permeate line 4. 
     The invention is useful in that it allows recovery of acid from basic salt solution without the addition of strong mineral acid. The retentate in line 10 can be recycled to provide pH control, such as in a fermenter. Also, as well as acidification, the membrane system provides significant purification. In addition, the process utilizes carbon dioxide which is widely available and non-toxic. 
     The invention is novel in that no systems combining acidification by use of carbon dioxide with the use of special acidity dependent properties of membranes have previously been reported or suggested. 
     The invention is unobvious in that most membrane systems in use do permeate carbon dioxide and also do not allow significant back pressure on the permeate side. Thus most current commercial equipment cannot be used for this process. Modified or redesigned equipment and/or operating procedures are required. Furthermore the extent of acidification using carbon dioxide is usually thought of as being low. The use of a membrane system allows taking advantage of these acidification properties. 
     The present specification first presents predictions of the extent of acidification of the salt of some organic acids by using carbon dioxide under various conditions for various organic acid salt solutions. Then the specification presents membrane performance data. As a result, these two previously un-combined technologies can be usefully combined to achieve separation, despite the limited extent of acidification achieved by the weak carbonic acid formed. 
     One potential problem stems from the permeability of many membranes to carbon dioxide. This problem is overcome in one form of the invention by the use of backpressure on the permeate side of the membrane system. As most membrane systems are designed to run without any significant backpressure of the permeate side, modified equipment and operating procedures are required. 
     Another potential problem is the increasing basicity of the retentate solution as the acidic species is preferentially removed while leaving behind a buffered bicarbonate solution of the basic salt. Staging calculations indicate that despite this apparent reason why the technology should not work, it indeed will. This is due to the continuous flow feed side stream along the length of a membrane system. 
     The extent of acidification by carbon dioxide is checked at the &#34;weak&#34; end of the extractor. A small but sufficient level of acidification occurs. This allows for continued removal of free acid species. 
     Calculations show that careful balancing of feed and permeate pressures and makeup water addition is required to achieve good separation in a reasonable amount of membrane area without excessive dilution of any of the streams. 
     The acidification process 
     Here we calculate the fraction of free acid present in various mixtures under different CO 2  pressures. 
     Using equilibrium equations, conservation of charge, and assuming a Henry&#39;s Law approximation, we can show that for monovalent salts of organic acids (neglecting non-idealities of the system). 
     
         hΛ3+(s+Ka+q)hΛ2-(K1*n+Ka*a)h-Ka*K1*n=0 
    
     where 
     h = concentration of hydrogen ions 
     s = initial concentration of monovalent salt of organic 
     acid 
     Ka = acid dissociation constant 
     K1 = bicarbonate -- aqueous CO 2  dissociation constat 
     q = initial concentration of monovalent salt of bicarbonte 
     n = HpCO 2  = cocnentration of dissolved CO 2   
     H = Henry&#39;s Law Constant for CO 2  dissolution in solution 
     pCO 2  = pressure of gaseous carbon dioxide on the system 
     We solve for h, then calculate the system pH 
     
         pH=-log10(h) 
    
     Next we determine the fraction of the total organic acid species present as free acid ##EQU1## And finally the wt % of free acid in the solution ##EQU2## 
     For example, we consider the case of a 10% sodium acetate solution. At 50 atm pressure of carbon dioxide, we find that 0.20 fraction of the sodium acetate species present are converted to acetic acid. This corresponds to the rich end of our membrane system. The total free acid concentration is thus 0.20 fraction × 10% total acid = 2% w/w free acid concentration. This is the free acid that can permeate the acid permeable membrane. 
     Consider then for example the weak end of the membrane system. Here 90% of the total acid species have permeated the membrane. The sodium bicarbonate has been largely rejected by the membrane. Thus we find that, in the abscence of CO 2  the solution remaining solution is 9% sodium bicarbonate and 1% sodium acetate. These calculations show that of the 1% sodium acetate left, again 0.20 fraction is converted to free acetic acid at 50 atm pressure. The total free acid concentration is thus 1% × 0.2 = 0.2% free acid. 
     At this end of the membrane permeator system we see that the free acid concentration is low and that the permeate will be rather weak in acid. 
     Cases D, E, F and G are for various ammonium lactate solutions acidified under 50 atmospheres pressure of carbon dioxide gas. 
     Case D shows 1% ammonium lactate solution. It is seen that of the total acid species, 0.048 fraction are predicted to be acidified. 
     Case F shows a 10% ammonium lactate solution. 0.015 fraction are predicted to be acidified. This gives a 0.148% concentration of lactic acid to permeate. 
     Case G shows the weak end of the acid permeation system, we see that for a 1% ammonium lactate and 9% ammonium carbonate feed, that 0.015 fraction of the lactate species are acidified. This gives a 0.015% concentration of lactic acid to permeate. 
     Clearly acetate (Cases A-C) is more readily acidified than lactate (Cases D-G). 
     
         ______________________________________                                    
                                 Frac  Wt %                               
atm                              free  free                               
P       [H+]      pH      So     acid  acid                               
______________________________________                                    
Case A 1% acetate solution                                                
1       1.2825E-6 5.89    .17    .07   .07%                               
10      4.3765E-6 5.36    .17    .20   .20%                               
30      8.2180E-6 5.09    .17    .32   .32%                               
50      1.1209E-5 4.95    .17    .39   .39%                               
100     1.7500E-5 4.76    .17    .50   .50%                               
Case B 10% acetate solution                                               
1       3.9650E-7 6.40    1.66   .02   .22%                               
10      1.2850E-6 5.89    1.66   .07   .68%                               
30      2.2830E-6 5.64    1.66   .12   1.15%                              
50      3.0000E-6 5.52    1.66   .15   1.46%                              
100     4.3850E-6 5.36    1.66   .20   2.00%                              
Case C 1% sodium acetate solution + 9% sodium bicarbonate                 
1       3.9650E-7 6.40    .17    .02   .02%                               
10      1.2850E-6 5.89    .17    .07   .07%                               
30      2.2830E-6 5.64    .17    .12   .12%                               
50      3.0000E-6 5.52    .17    .15   .15%                               
100     4.3850E-6 5.36    .17    .20   .20%                               
Case D 1% lactate solution                                                
50      3.7616E-5 4.42    .110   0.048 0.048%                             
Case E 1.52% lactate solution                                             
50      3.035F-5  4.52    0.16 g 0.039 0.060%                             
Case F 10% lactate solution                                               
50      1.1152E-5 4.95    1.11   0.015 0.148%                             
Case G 1% ammonium lactate solution + 9% sodium bicarbonate               
50      1.1152E-5 4.95    .11    0.015 0.015%                             
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     Cases A, B, and C show the clear advantage of going to higher pressures in terms of degree of acidification. Higher pressures entail greater costs of compression, recompression, and result in larger volumes of carbon dioxide dissolved in the feed, permeate and retentate streams. 
     Counterflow and separation factors 
     Here we find that with balanced flows and makeups, with typical membrane rejections, we can indeed achieve separation. This is somewhat unexpected due to the relatively low extent of acidification acheivable using pressured carbon dioxide. 
     Example 1: Permeator conversion 
     Here we simulate a countercurrent flow system with a membrane similiar to a Permasep B-9 synthetic membrane or a cellulose acetate membrane. Both these membranes have been avaialable since the early 1970&#39;s. Both these membranes show reasonable rejection of organic acids at pH &gt; 5 and significant permeation at pH &lt; 5. 
     To predict the inventions performance we need to combine data from some different sources -- 
     1. CO 2  membrane permeation data 
     2. membrane performance data for inorgnaic salts such as NaHCO3 
     3. membrane performance data for salts of organic acids 
     4. membrane performance data for free acid form organic acids 
     5. effect of pressurized CO 2  on membrane performance 
     6. effect of pressurized CO 2  on acidification of salt solutions of organic acids. 
     We chose to lump thermodynamic non-idealities into our model. 
     The real membrane performance data that we base the following simulations on is taken from literature data given in the Background section. 
     The CO 2  acidification data are taken from calculations performed. They are confirmed in examples in a patent regarding liquid extraction using pressurized CO 2 . 
     One way the system can be illustrated is as shown in FIG. 1. We simulate this countercurrent system by dividing the length of the membrane system into a series of small steps. In practice, there may be a series of physical membrane units with interstage pumps to overcome pressure drop in the sucessive membrane units. This depends on the permeation rate through the membrane relative to the required flowrate across the membrane required to achieve membrane performance. 
     Regardless of the actual required length of the membrane system, we can simulate it&#39;s performance using our stepwise analysis. This analysis is for a simultaneous reaction and membrane permeation. In this regard, the invention is a carbon dioxide membrane equilibrium reactor used to achieve a simultaneous acidification reaction and separation. This is uniquely different from previous applications of membranes in biochemical separations. 
     Due to the simultaneous reaction and separation, we cannot readily use a graphical solution to predict separation system performance. 
     We feed to the mixer sufficient carbon dioxide to saturate the feed mixture plus additional or excess carbon dioxide for reaction. The reaction in the mixer is 
     
         NaA+CO.sub.2 +H.sub.2 O←→NaHCO.sub.3 +HA       Equation 1 
    
     Additional species such as H 2  CO 3 , Na 2  CO 3 , CO 2  (g), CO 2  (1) are also present in equilibrium quantities, but for the purposes of this discussion, do not affect the overall mass balance picture. 
     At a pressure of 200 psig, we assume 30% of the moles of NaA in the 1 molar feed solution is converted to HA. From this we calculate an equilibrium constant for the above equation 1. 
     This mixture is then fed to &#34;stage 1&#34; of the permeator. This is a length of membrane sufficient that 90% of the free acid species permeate. In addition, it is assumed that for every 1 mole of acid that permeates, 20 moles of water permeates. This is equivalent to saying that the average concentration of the material travelling through the membrane is ##EQU3## 
     This requires that the membrane preferentially permeate the free organic acid species relative to the water species, while rejecting the salt form of the organic acid. While this type of membrane is conceivable, it is not readily available at present. 
     This example then shows that under these conditions, the invention could work given a suitable membrane. 
     The product from the CO 2  injection mixer is: 
     
         ______________________________________                                    
NaA          0.70 mole/liter                                              
NaHCO.sub.3  0.30 mole/liter                                              
HA           0.30 mole/liter                                              
equilibrium stream after CO.sub.2 equilibration calculation               
______________________________________                                    
 
    
     STEP 1 simulation: Here, as throughout the membrane reactor-permeator, several events occur simultaneously 
     a acidification reaction with excess carbon dioxide 
     b. free acid permeation 
     c. salt form of acid rejection 
     d. bicarbonate and carbonate salt rejection 
     e. cation rejection 
     f. water permeation 
     g. carbon dioxide permeation or back permeation 
     It is expendient to approximate the actual system behaviour in a stepwise manner. At each step or stage, we calculate event b through g, first and then event a. 
     Following this case, in stage 1 of the membrane system, we see that the retentate becomes significantly depleted in HA and slightly depleted in water (which is in vast molar excess), while NaA and NaHCO 3  are largely retained. This is the mixture identified as &#34;retentate&#34;. It is a non-equilibrium mixture. The mixture is 
     
         ______________________________________                                    
NaA          0.78 mole/liter                                              
NaHCO.sub.3  0.33 mole/liter                                              
HA           0.033 mole/liter                                             
non-equilibrium stream after acid permeation calculation                  
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     Now we simulate the acid base reaction of the excess CO 2  present with the NaL, and generate the stream labelled &#34;1&#34;, acid base equil. This stream is 
     
         ______________________________________                                    
NaA          0.64 mole/liter                                              
NaHCO.sub.3  0.47 mole/liter                                              
HA           0.173 mole/liter                                             
equilibrium reaction stream after acid base reaction                      
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     In this stream, for every 100 moles of total acetate species, we find that 21.4 moles are free acid and acetate 78.6 moles are salt form of the acid. This is 21.4% of A-species present at FlA. 
     We now simulate &#34;stage 2&#34;, which physically represents a length of membrane further away from the feed point than stage 1. Here again we permeate free acid through the membrane with copermeated water, and reject NaHCO 3  and NaA. The retentate stream, calculated by mass balance, is then equilibrated for the acid-base equilibrium reaction. 
     Here we see that after permeation and equilibration in the second stage, we now have 17.6% of the total acetate left as free acid. Due to the buildup of increasing levels of bicarbonate, the percentage of free acid available for permeation becomes less and less as we proceed down the permeator. After 2 stages we have removed 41% of the total moles of original acetate species from the feed into the permeate. This can be determined as follows 
     Original mixture: 1.0 moles of NaA 
     Current retentate after stage 2: 
     0.49 moles of NaA 
     0.10 moles of HA 
     0.51 moles of NaHCO 3   
     Acetate removed = 1.0 moles -- (0.49 + 0.10) = 0.41 moles 
     Proceeding to stage 16, we see that we remove 88% of the original acetate by this method after 16 stages. 
     Example 2: Permeator conversion 
     Here we follow the case of example 1, but with the following changes 
     
         ______________________________________                                    
             EXAMPLE 1                                                    
                      EXAMPLE 2                                           
______________________________________                                    
STAGEWISE PERFORMANCE CRITERIA                                            
% of free acid mass                                                       
               90%        40%                                             
permeated per stage                                                       
water passage  20 moles   [acid] perm =                                   
               water per 1                                                
                          75% [acid] ret                                  
               mole free  i.e. reflects                                   
               acid i.e. some                                             
                          available                                       
               water      membrane                                        
               rejection  performance                                     
MAKE UP WATER  NOT                                                        
               NEEDED                                                     
stage 2                   0.18 L/LITER FEED                               
stage 3                   0.21 L/LITER FEED                               
stage 4                   0.21 L/LITER FEED                               
stage 5                   0.21 L/LITER FEED                               
stage 6                   0.21 L/LITER FEED                               
TOTAL                     1.02 liter/liter                                
CO.sub.2 PRESSURE,                                                        
feed side      200 PSIG   200 PSIG                                        
permeate side  200 PSIG   200 PSIG                                        
FEED CONCENTRATION                                                        
NaA            1.0 mole/liter                                             
                          1.0 mole/liter                                  
CALCULATED PERFORMANCE - RESULTS                                          
TOTAL PERMEATE 0.24 LITER 1.62                                            
VOLUME, 6 STAGES                                                          
LITER                                                                     
AVERAGE ACID   2.8 mole/liter                                             
                          0.21                                            
CONCENTRATION                                                             
IN SAID PERMEATE                                                          
mole/liter                                                                
% ACID MASS    67%        34%                                             
RECOVERED                                                                 
RETENTATE NaHCO.sub.3                                                     
               0.93 mole/ 1.02                                            
conc mole/liter                                                           
               liter                                                      
RETENTATE VOLUME                                                          
               0.76 liter 0.40 liter                                      
______________________________________                                    
 
    
     Here we see under more realistic conditions, that a much lower extent of acid recovery has been achieved in 6 stages in example 2. This means that for example 2 conditions, a much larger membrane system will be required to achieve high levels of recovery. Alternatively, the retentate from example 2 could be recycled to the fermentor or other acid generation source to increase acid levels. 
     Note that in all the examples, &#34;stages&#34; refers to theoretical calculation stages, rather than physical membrane stages. The actual separation can be achieved in one or more membrane modules, depending on the length of the membranes. 
     Example 3 &#34;Casestudy 6&#34; 
     Here we refine the calculation technique and use a different basis to calculate permeated water rates. Instead of moles per mole acid permeated used in the earlier calculations, we use assume that of the total liquor present a certain percentage permeates in a given length of membrane or theoretical stage. 
     We add a small flow of makeup water to each theoretical stage. In practice, this water could be added to each actual pass in a membrane module. 
     We consider the case of recovery of acetic acid from sodium acetate. The membrane is a theoretical modified cellulose acetate membrane. Membrane rejection parameters are somewhat better than those reported in the literature. We have assumed that by testing a variety of membranes, we can find a membrane slightly better those reported to date. 
     This calculation thus shows the full potential of this invention. If a membrane is used which has poorer rejection parameters, then more stages or a sequential approach will be needed. This simply would entail feeding the effluent from the simplest form of the invention to an identical second process step. We illustrate this approach in example 6. 
     
         __________________________________________________________________________
CASESTUDY 6                                                               
__________________________________________________________________________
Makeup starts on step                                                     
                     4                                                    
Makeup volume        .10 liter per calculational stage                    
Membrane length such that                                                 
                     5.00% of the total liquid permeates                  
Rejection of NaA salt                                                     
                     95.00% relative to feed concentration                
Rejection of HA free acid                                                 
                     5.00% relative to feed concentration                 
        NaA                                                               
           NaHCO3                                                         
                HA    NaA NaHCO3                                          
                               HA       % of                              
                                            % of                          
        mol                                                               
           mol  mol                                                       
                   CO2                                                    
                      mol/L                                               
                          mol/L                                           
                               mol/L                                      
                                   Volume                                 
                                        A- as                             
                                            A                             
        Temp = 35 deg C.                                                  
                   psig                                                   
                      K&#39;eq = .2667 Liter                                  
                                        free A                            
                                            rmvd                          
__________________________________________________________________________
STEP 0  .6000                                                             
           .4000                                                          
                .4000                                                     
                   450                                                    
                      .60 .40  .40 1.000                                  
                                        40% 0%                            
STEP 1                                                                    
FROM N-1                                                                  
        .60                                                               
           .40  .40   .60 .40  .40 1.00 797                               
Permeate                                                                  
        .002                                                              
           0    .019  .03 0    .38 .05                                    
Retentate                                                                 
        .599                                                              
           .400 .381  .63 .42  .40 .95                                    
Ret + Make                                                                
        .599                                                              
           .400 .381  .630                                                
                          .42  .40 .95                                    
CO2 rxn .599                                                              
           .399 .380  .631                                                
                          .420 .400                                       
                                   .95  39% 2%                            
STEP    50                                                                
FROM N-1                                                                  
        .21                                                               
           .74  .15   .11 .39  .08 1.89                                   
Permeate                                                                  
        .001                                                              
           0    .007  .01 0    .07 .09                                    
Retentate                                                                 
        .213                                                              
           .740 .139  .12 .41  .08 1.80                                   
Ret + Make                                                                
        .213                                                              
           .740 .139  .12 .41  .08 1.80                                   
CO2 rxn .214                                                              
           .739 .138  .119                                                
                          .411 .077                                       
                                   1.80 39% 65%                           
__________________________________________________________________________
        NaA                                                               
           NaHCO3                                                         
                HA    NaA NaHCO3                                          
                               HA       Osm.Pres                          
TOTALS  mol                                                               
           mol  mol   mol/L                                               
                          mol/L                                           
                               mol/L                                      
                                   liter                                  
                                        RTCi                              
__________________________________________________________________________
PERMEATE                                                                  
        .0472                                                             
           .0000                                                          
                .6007 .0124                                               
                          .0000                                           
                               .1580                                      
                                   3.803                                  
                                        68.5 psi                          
RETENTATE                                                                 
        .2135                                                             
           .7392                                                          
                .1385 .1188                                               
                          .4113                                           
                               .0770                                      
                                   1.797                                  
                                        377.7 psi                         
__________________________________________________________________________
% of acetic acid removed                                                  
                    64.8%                                                 
Ratio of Free Acid to Total in Permeate                                   
                    92.71%                                                
wt % Na in retentate                                                      
                    1.22%                                                 
wt % total acetate in retentate                                           
                    0.46%                                                 
Volume of retentate 1.80 liter                                            
Free Acid to Total in Retentate                                           
                    39.34%                                                
 
    
     
         __________________________________________________________________________
CASESTUDY 11                                                              
__________________________________________________________________________
No makeup                                                                 
Membrane length such that                                                 
                     5.00% of the total liquid permeates                  
Rejection of NaA salt                                                     
                     95.00% relative to feed concentration                
Rejection of HA free acid                                                 
                     5.00% relative to feed concentration                 
        NaA                                                               
           NaHCO3                                                         
                HA    NaA NaHCO3                                          
                               HA       % of                              
                                            % of                          
        mol                                                               
           mol  mol                                                       
                   CO2                                                    
                      mol/L                                               
                          mol/L                                           
                               mol/L                                      
                                   Volume                                 
                                        A- as                             
                                            A                             
        Temp = 35 deg C.                                                  
                   psig                                                   
                      K&#39;eq = .2667 Liter                                  
                                        free A                            
                                            rmvd                          
__________________________________________________________________________
STEP 0  .0800                                                             
           0    .7100                                                     
                   450                                                    
                      .02 0    .15 4.700                                  
                                        90% 0%                            
STEP 1                                                                    
FROM N-1                                                                  
        .08                                                               
           .00  .71   .02 0    .15 4.70 61                                
Permeate                                                                  
        .000                                                              
           0    .034  .00 0    .14 .24                                    
Retentate                                                                 
        .080                                                              
           0    .676  .02 0    .15 4.47                                   
Ret + Make                                                                
        .080                                                              
           0    .676  .018                                                
                          0    .15 4.47                                   
CO2 rxn .030                                                              
           .050 .726  .007                                                
                          .011 .163                                       
                                   4.47 964 4%                            
STEP    50                                                                
FROM N-1                                                                  
        .03                                                               
           .05  .07   .08 .12  .18 .38                                    
Permeate                                                                  
        .000                                                              
           0    .003  .00 0    .17 .02                                    
Retentate                                                                 
        .031                                                              
           .045 .065  .08 .13  .18 .36                                    
Ret + Make                                                                
        .031                                                              
           .045 .065  .08 .13  .18 .36                                    
CO2 rxn .03,                                                              
           .045 .065  .085                                                
                          .125 .181                                       
                                   .36  68% 88%                           
__________________________________________________________________________
        NaA                                                               
           NaHCO3                                                         
                HA    NaA NaHCO3                                          
                               HA       Osm.Pres                          
TOTALS  mol                                                               
           mol  mol   mol/L                                               
                          mol/L                                           
                               mol/L                                      
                                   liter                                  
                                        RTCi                              
__________________________________________________________________________
PERMEATE                                                                  
        .0039                                                             
           .0000                                                          
                .6901 .0009                                               
                          .0000                                           
                               .1591                                      
                                   4.338                                  
                                        60.3 psi                          
RETENTATE                                                                 
        .0307                                                             
           .0454                                                          
                .0653 .0849                                               
                          .1254                                           
                               .1806                                      
                                   .362 199.7 psi                         
__________________________________________________________________________
%of acetic acid removed                                                   
                    87.8%                                                 
Ratio of Free Acid to Total in Permeate                                   
                    99.43%                                                
wt % Na in retentate                                                      
                    .4837%                                                
wt % total acetate in retentate                                           
                    1.09%                                                 
Volume of retentate .36 liter                                             
Free Acid to Total in Retentate                                           
                    68.02%                                                
 
    
     Example 5, Casestudy 12 
     This is an example of concentrating the effluent from Casestudy 11 using a commercially available reverse osmosis membrane. No applied carbon dioxide pressure or backpressure or reaction occurs or is needed for this concentrating step. No acidification is achieved. Simply, the product acetic acid is retained and water is permeated, permitting a concentration of the dilute acetic acid stream. 
     
         __________________________________________________________________________
CASESTUDY 12                                                              
__________________________________________________________________________
No Makeup                                                                 
Membrane length such that                                                 
                     5.00% of the total liquid permeates                  
Rejection of NaA salt                                                     
                     99.50% relative to feed concentration                
Rejection of HA free acid                                                 
                     98.50% relative to feed concentration                
        NaA                                                               
           NaHCO3                                                         
                HA    NaA NaHCO3                                          
                               HA       % of                              
                                            % of                          
        mol                                                               
           mol  mol                                                       
                   CO2                                                    
                      mol/L                                               
                          mol/L                                           
                               mol/L                                      
                                   Volume                                 
                                        A- as                             
                                            A                             
        Temp = 35 deg C.                                                  
                   psig                                                   
                      K&#39;eq = .2667 Liter                                  
                                        free A                            
                                            rmvd                          
__________________________________________________________________________
STEP 0  .0039                                                             
           0    .6901                                                     
                   450                                                    
                      .00 0    .16 4.34 99% 0%                            
STEP 1                                                                    
FROM N-1                                                                  
        .00                                                               
           .00  .69   .00 0    .16 4.34 53                                
Permeate                                                                  
        .000                                                              
           0    .001  .00 0    .00 .22                                    
Retentate                                                                 
        .004                                                              
           0    .690  .00 0    .17 4.12                                   
Ret + Make                                                                
        .004                                                              
           0    .690  .001                                                
                          0    .17 4.12                                   
CO2 rxn .002                                                              
           .002 .692  .000                                                
                          .001 .168                                       
                                   4.12 100%                              
                                            0%                            
STEP    50                                                                
FROM N-1                                                                  
        .00                                                               
           .00  .67   .01 .00  1.89                                       
                                   .35                                    
Permeate                                                                  
        .000                                                              
           0    .000  .00 0    .03 .02                                    
Retentate                                                                 
        .003                                                              
           .000 .665  .01 .00  1.99                                       
                                   .33                                    
Ret + Make                                                                
        .003                                                              
           .000 .665  .01 .00  1.99                                       
                                   .33                                    
CO2 rxn .003                                                              
           .000 .665  .010                                                
                          .001 1.993                                      
                                   .33  99% 4%                            
__________________________________________________________________________
        NaA                                                               
           NaHCO3                                                         
                HA    NaA NaHCO3                                          
                               HA       Osm.Pres                          
TOTALS  mol                                                               
           mol  mol   mol/L                                               
                          mol/L                                           
                               mol/L                                      
                                   liter                                  
                                        RTCi                              
__________________________________________________________________________
PERMEATE                                                                  
        .0000                                                             
           .0000                                                          
                .0255 .0000                                               
                          .0000                                           
                               .0064                                      
                                   4.004                                  
                                        2.4 psi                           
RETENTATE                                                                 
        .0034                                                             
           .0005                                                          
                .6651 .0102                                               
                          .0014                                           
                               1.9926                                     
                                   .334 669.5 psi                         
__________________________________________________________________________
% of acetic acid removed                                                  
                    3.7%                                                  
Ratio of Free Acid to Total in Permeate                                   
                    99.87%                                                
wt % Na in retentate                                                      
                    .0266%                                                
wt % total acetate in retentate                                           
                    11.95%                                                
Volume of retentate .33 liter                                             
Free Acid to Total in Retentate                                           
                    99.49%                                                
 
    
     Example 6 
     &#34;Casestudies 6, 11 combined with Casestudy 12, with recycles&#34; 
     We illustrate this in FIG. 2. 
     A crude broth in line 15 containing 1 mol/liter of sodium acetate, cells and other impurities from a fermentor 16 is pretreated in a clarifier 17 by centrifugation, ultrafiltration, micrfofiltration, precipitation, or other means to give a partially purified solution in line 18. 
     This solution in line 18, containing 1 mol/liter of sodium acetate, is mixed with pressurized carbon dioxide in line 19 at 450 psig and 35 degree celcius and fed to the first membrane acidification -- purification system 20. This membrane system 20 has membrane area and flow path length such that a separation equivalent to the 50 calculational stages of Casestudy 6 is achieved. A backpressure of 450 psig is maintained via valve 21 on the permeate side. A total of 4.6 litre of makeup water or very dilute sodium acetate is added to the feed side. From this stage, a permeate of 4.7 liter/hour of material containing 79% of the total acetate species present in the feed is recovered in line 22. Of this permeated acetate, 92.7% is free acid and 7.3% is sodium acetate. The retentate in line 23 passes to a pressure release drum 24, carbon dioxide is recovered via line 25, and the liquor, rich in sodium bicarbonate, can be recycled via line 26 to the fermenter 16 to control the pH. Backpressure in line 23 is controlled by valve 27. 
     This 4.7 litre/hour of permeate from system 1 is pumped from 450 psig to 1200 psig and fed via line 28 to a second membrane acidification -- purification system 29. Additional carbon dioxide may be added via line 30 at 450 psig. This system has sufficient membrane area -- flow path length such that a separation equivalent to the 50 calculational stages of Casestudy 11 is achieved. A backpressure of 450 psig is maintained on the permeate side by valve 31. No makeup water is added to the feed side. From this stage, a permeate of 4.34 liter/hour is collected via line 32. This permeate contains 69% of the acetate species present in the system 1 feed. Of this permeated acetate, 99.43% is free acid and 0.37% is sodium acetate. The retentate from system 2 can be recycled via line 33 to system 1. 
     The permeate from system 2 passes to a concentrating membrane 34, as illustrated in casestudy 12. This concentrator 34 could also be a freeze concentrator, an evaporator, or other concentrating device. The permeate or water recovered, 4.00 liter/hour can be returned via line 35 to system 1 as part of the makeup water added. The concentrate or retentate in line 36 is 11% acetic acid and has greater than 99% purity. This acetic acid can then be passed to finishing polishing purification steps 37 and final concentrating steps 38 if desired.