CALIFORNIA STATE UNIVERSITY, NORTHRIDGE GAS PURIFICATION BY CHEMICAL SOLVENT A graduate project submitted in partial satisfaction of the requirements for the degree of Master of Science in Engineering by ¥dchael Philip Caldwell August 1984 Protect of Michael Philip Caldwell is approved: Ileana Costea RajdeirBabayan Chair California State University, Northridge ii TABLE OF CONTENTS Page LIST OF TABLES • vi LIST OF FIGURES • vii LIST OF SYMBOLS • • X ABSTRACT • xii Chapter 1. INTRODUCTION 2. THE REMOVAL OF SULFUR DIOXIDE • 3. 1 . 6 Standards • . 6 Throwaway process • . 6 Regenerable process • . 7 Double alkali process • • 7 Sulfite process • 8 Citrate process • . 8 Dry scrubbing • 8 THE REMOVAL OF CARBON DIOXIDE • 10 Standards • 10 General thermodynamics 10 Hydroxide solution • 12 Amine process • 12 Carbonate solution • 18 Flow arrangements 19 iii 4. ....... ........ .. THE REMOVAL OF HYDROGEN SULFIDE Standards • • • • • • • • • • General thermodynamics Amine process . Shell process . a • • • • • • • • • • • • • • • ................ ....• .. .. • 21 21 21 22 22 .. . 22 . THE REMOVAL OF HYDROGEN SULFIDE AND CARBON DIOXIDE . . . . . . . . . . . . . . . . . . . . . 24 Oxidation process 5. Cases and standards • • • • • • • • • • • • • • • • • • 24 Inorganic salt process • 24 Carbonate solution • • • • • 25 Organic solutions • • • • • • • • • • • • • • • • • • • 6. ABSORPTION ••• ...... Introduction • ... .... Absorption equipment • • • • 27 •• 27 • • 29 • 42 Chemical and physical absorption • Diffusivity and mass transfer • • • • • • • • • • • • • 7. .. SELECTION OF A PROCESS • ...... Carbon dioxide removal • 59 .. 66 • 66 Simultaneous removal • • • Selective removal • • • • • • • • • • ......... THE DESIGN OF A GAS PURIFICATION PLANT USING MDEA FOR SELECTIVE H2S REMOVAL • • • • • The design selection • Assets of MDEA • • • 48 • • • 61 Hydrogen sulfide removal • 8. 26 ... Use of a computer for the design • •• 74 • 74 ..... . . . . . . • • • 74 . . . . . . • 75 Finding or fixing boundary limits • • • • • • • • • • • iv 66 75 Mass and energy balance around absorber • • • • • • • • 81 Heat exchangers duties • • • • • • • • • • • • • • • • • 82 Absorber diameter • • • • • • • = ~ e ~ • • • • • • Mass and energy balance around regenerator • • REFERENCES .......... • 83 • 85 .. Regenerator diameter • • • 86 • 87 APPENDIXES A. Flow diagram for MDEA Gas Treating Plant • • • • • • • • 89 B. Listing of computer program • • • • • • • • c. Sample input and output of computer program • v 90 . . 101 TABLES Table 1. 2. 3. 4. Page Impurities Encountered in Gas Treating • • • • • • • • • • • • • • • • • • • • 2 Commercial Use of Different Types of Solvent Gas Treating Processes • Comparative Cost of the MDEA Process and a Total Gas Sweetening Process (CHEMERY Case) • • • • • • • • • • 8 .......... 76 Comparative Cost of the MDEA Process and a Total Gas Sweetening Process (Fuel Gas Treatment Case) • • • • • • • • • • • • • • • 77 vi FIGURES Page Figure 1. General Layout of an Absorption Plant . . . . . . . . . . 2. First and Second Dissociation Constants of Carbonic Acid • 3. 4. 5. 6. 7. 8. Equilibrium Pressures of CO Over Aqueous Aminoalcohol and Potassium Carbonate Solutions at Absorber Top Conditions (40 °C) • • • • • • 10. 11 14 Arrhenius Plot of Second-Order Reaction Rate Constants for co - Hydroxyl Ion 2 and C0 - Amine React1ons • • • • • • • • • • • • • • • 15 2 Flow Diagram for a Traditional MEA-C02 17 Scrubbing Unit • • • • • • • • • • • • • Hot Carbonate C0 20 Removal Flowsheets • • • • • 2 Idealized Solvent Absorption Acid Gas Removal Process • • • • • • • • • • • • • • • • • • • • 28 Example of a Two-Stage Tube Bundle Co 1 'U1Jl1l 9. .......... 5 • • • • • • • • • • • • • ........... 30 Design of a Two-Stage Packed Column • • • • • • • • • • • 31 Design of a One-Stage Fluidized Packing Column • • • • • .......... .. 11. Design of a Jet Absorber • 12. Three Different Plate Arrangements 13. Design of a Hultistage Rotating 33 34 36 Disk Column • . . • . . . • . . . • • . • • . . • . . . 37 . . . . . . . . . . . . . . . 38 a Nozzle Spray Column . . . . . . . . . . . . . 39 14. Design of a Venturi Column 15. Design of 16. Design of a Rotating Disk Spray Column ........................ vii 40 17. 18. 19. 20. 21. 22. 23. Application of a Few Absorbers as a Function of Gas FlowRate and Height-to-Diameter Ratio • • • • • • • ........ 43 Dependence of Specific Interfacial Area a on Bubble, Particle and Tube Diameter d • • • • • • • • • ........... 44 Specific Interfacial Area a as a Function of Volumetric Energy Demands for Various Types of Absorbers • • • • • • • . • • • • • • • • • 45 Henry Coefficient H for the Solution of Various Gases in Water as a Function of Temperature • • • • • • • • • • ........ 47 Limiting Mass Transfer Conditions in Absorption • • • • • • • • • • • • • • • • • • • 52 Mass Transfer Resistance (MTR) in Absorption Columns • • 56 ........... Selection Methodology for Acid Gas Removal Sol vent • • • • • • • • • • 60 24. Range of Gas Treating Process Application for co Removal with no H S or Other 2 2 Acidic Impurities Present • • • • • • • • • • • • • • • 62 25. Range of Gas Treating Process Applicaton for H S Removal with no co or Other 2 Impur12ties Present • • • • • • • • • • • 26. 27. ....... 63 Range of Gas Treating Process Application for Simultaneous H S Plus co Removal 2 2 with no Other Impurities Present • • • • 64 Range of Gas Treating Process Application for Selective H s Removal in the Presence 2 of C0 • • • • • • • • • • • • • • • • • • • • • • • • 2 65 28. H s/co Solubility Ratio for Organic 2Phys1cal 2 Solvents • • • • • • • • • • • • • • • • • • • 68 29. Arrhenius Plot for K cs 30. Second Dissociation Constant of H2s 31. Computer Graphics Diagram of MDEA Gas Treating Plant • • • • • • • 32. ................. . . . . . . . . . . . Equilibrium Diagrams for H s and MDEA 2 viii ....... 69 71 • 78 . 79 33. 34. 35. Computer Graphics Equilibrium Diagram for H S and MDEA • • • • • • • • • • • • • • • • • • 80 2 Generalized Pressure Drop Correlation for Dumped Packings • • • • • • • • • • • • • • • • • • • • 84 Flow Diagram for MDEA Gas Treating Plant • • • • • • • • ix 89 SYMBOLS A, A' The volatile component(s) a, a' Concentration of A, A' in liquid a Value of a that would equilibrate local composition B A chemical base B. The jth non-volatile component b. Concentration of B.J . 'b. Value of b. normalized to molarity, b.= b./m c Concentration D Diffusivity of A f Fugacity H, H' Henry's law constants for A, A' in reactive solvent Ho Value of H in pure solvent I Enhancement factor I.1 Ionic strength IQO Value of I in instantaneous reaction regime K Thermodynamic equilibrium constant K g Overall mass transfer (pressure units) Kl Overall mass transfer (concentration units) k Reaction rate constant kG Gas phase mass transfer coefficient kL Chemical mass transfer coefficient in liquid phase L Solution volumetric flow rate J J J /' J J X J M Mass flow rate m Solution molarity N, N' Rate of absorption of A, A' per unit interface area (negative in desorption) nA Molar flux density p, p' Partial pressure of A, A' p*, p*' Equilibrium values of p, p' Po Vapor pressure of pure component R Gas constant r Rate of reaction r 0 Rate of reaction at interface per unit area ST Thermodynamic selectivity T Temperature tD Diffusion time t Reaction time r u Average velocity v Partial molar volume X Distance from interface y Gas phase mol fraction y, y' Fractional chemical saturation y Total saturation, C1( y =Or /m Total concentration of A, physically dissolved plus chemically combined ratio,~.=~ /b. J 0 JO «. J Concentration 13 Local mass transfer coefficient Activity coefficient Viscosity Ratio of diffusion and reaction times xi ' . ABSTRACT GAS PURIFICATION BY CHEMICAL SOLVENT by Michael P. Caldwell Master of Science in Engineering The reasons for purifying gaseous streams range from economic considerations to environmental issues. Economics dictates the removal of an undesirable gas constituent from a process stream before the stream undergoes further treatment. Some processes demand that the concentration of an interfering gas pollutant be as low as parts per billion. Environmental agencies are trying to lower the rate of air pollution by placing restrictions on the waste gases released to the atmosphere. The use of chemical solvents for gas purification as opposed to other forms of pollution control is due to the chemical solvents ability to remove more pollutant while using less energy. Sometimes chemical solvents have to be used because other methods will not remove a sufficient amount of contaminant. With this greater ability of contaminant removal comes the increased complexity of the process xii design. The chemical reactions associated with chemical solvents add to the unknowns which much be found if an economic process is to be designed. The major portion of the design is associated with the process of absorption. This is the actual dissolving of the gas into the liquid stream by physical and chemical driving forces. Mass transfer, heat transfer, thermodynamics, and kinetics must all be taken into account when choosing and designing absorption- equipment. This report deals primarily with carbon dioxide and hydrogen sulfide removal. This can be the removal of both constituents, or the removal of only one constituent; this is called selectivity. The design aspect of this report is based on one such chemical solvent to selectively remove hydrogen sulfide from a gas stream while leaving most of the carbon dioxide. The chemical solvent which will do this in the most economic way is methyldiethanolamine (MDEA). The mass and energy balance of an MDEA gas treating plant is done by a computer program. The program will determine the amount of MDEA needed for a certain gas flow as well as the tower diameters of the absorber and regenerator. The program also determines the duties of the heat exchangers, condensor and reboiler. is minimal and certain parameters are changeable. xiii The operator input Chapter 1 INTRODUCTION Gas purification is the removal of impurities from a process gas, whether waste gas or gas about to undergo further treatment [1:3]. The main impurities encountered are listed in table 1. The removal of carbon dioxide and hydrogen sulfide is referred to as acid gas removal, and the removal of sulfur dioxide is referred to as flue gas desulfurization. different ways. These gaseous impurities can be removed in two The process gas can be brought into contact with a medium which will absorb the impurities or chemically react with the impurities. Bulk removal of impurities is accomplished by absorption into a liquid, adsorption onto a solid, or cryogenic separation. Trace contaminants are removed by chemically changing the impurities to other compounds or by adsorption [1:4]. Bulk removal is lowering the impurities from that of a high level, down to that of 0.1-2.0 percent. This is most often accomplished by absorption, either physical or chemical. Adsorption is generally used in smaller plants, and cryogenic methods are the least used [1:8]. The final or trace removal of impurities results in a purification of the gas down to parts per million of contaminants [1:8]. The chemical and physical solvents used for trace removal are shown 1 2 Table 1 Impurities Encountered in Gas Treating Type of impurity Acid gas removal Flue gas desulfurization Al'ld gases Carbon dioxide Sulfur dioxi.Jt~ ((01) Hydrogen sulfide (H 2 S) Organic 'iulfur compounds Carbonyl sulfide (COS) Carbon disulfide (CS 2 ) Thiophene Mer:::~:Jtam r RSH)a Organk su!fides (RS:\R, l<SR) Oth~r impurities H20 HCN NH 3 Hydrocarbons Particulates so 2 so] Tar aR is u,cd to designate an :~lkyl gruup. Source: Astarita, Savage, and Basio, p. 4. Parttculates NOx (S0 2 ) 3 in table 2. All of the solvent absorption methods use variations of the flowsheet shown in figure 1. The raw gas is contacted with regenerated solvent and the impurities are absorbed. The treated gas leaves the top of the absorber and the now contaminated solvent leaves at the bottom. This rich solvent is reduced in pressure and is heated by the returning clean solvent. The rich solvent is stripped of the impurities in the regenerator and is recycled [1:13]. These gas cleaning plants are integrated with other plant processes. The regenerator in the purification process may get its low level steam from another process. The impurities from the gas cleaning can be used in other process, thereby reducing the cost of the necessary removal. The hydrogen sulfide removed may be sent to a sulfur plant, and the carbon dioxide removed may be sent to an ammonia plant or may be used for enhanced oil recovery [1:13]. 4 Table 2 Commercial Use of Different Types of Solvent Gas Treating Processes Solvent Add ga<; TC!T'OY:il A Y. u.:ous alk ano!arnine MEA DEA DGA DiP A Promored hot potassium carbonate Organic pn:.n10ters Inorgamc prorno.ters Org:..il,.- ·;olvent-,dkanc,lami:lc: Su!folanciDIPA Ntun'1er o~ instalLttions >! Ol'CJ >740 >130 M,~OHjMEA/DEA Aqueous ~ulution of potassium salt of amino acids Ph:-,,i.:..'.l (organid solvents Propy kne carbonate Polyethylene glycol dialkyl ether /\ -m~rhylpyrrolidone Chi!kJ methanol Flue g;.;s dcsulfurization Lim<lirues~one slurries in water Sodium sulfite Source: Astarita, Savage, and Basio, p. 8. --J 00 73 5 a I' . IJbsorption umt il i ,,.!'= NA: i! r~gtmr:ral1on Uf"!ll . ;! r, {absorpt,~J Figure 1 General Layout of an Absorption Plant Source: Brauer and Varma, p. 244. .I Chapter 2 THE REMOVAL OF SULFUR DIOXIDE Flue gas desulfurization is the removal of sulfur dioxide from combustion gases or other forms of waste gas. The sulfur dioxide must be removed for environmental reasons since this is the source of acid rain. With the increase of coal usage, flue gas desulfurization technology must be increased to insure clean air standards [1:293]. The 1980 standards for sulfur dioxide in flue gas must satisfy the tighter of two requirements. The absolute emission is limited to 1.2 lbs/10 6 BTU with sulfur dioxide being removed by 70-90 percent. This is broken down into two parts. If the total r emission is less than 0.6 lbs/10° BTU, then the sulfur dioxide needs only be removed by 70 percent. When the emissions are more than 0.6, then the sulfur dioxide needs to be decreased at least 90 percent. This regulation basically requires scrubbing of low sulfur coal [1:293]. There are two basic categories for flue gas desulfurization. In the throwaway process, a cheap base, such as limestone, is used to react with the sulfur dioxide to form a disposable solid. In the regenerable process, the base is recycled after it is cleaned. sulfur can usually be recovered as elemental sulfur [1:295]. In the lime wet scrubbing process, sulfur dioxide can be removed up to 90 percent. The reactions are: 6 The 7 CaO + H20 ---> Ca(OH) 2 Ca(OH) 2 + C0 2 ---> CaC03 + H2o CaC0 3 + C0 2 + H20 --->Ca(HC03 ) 2 Ca(HC03 ) 2 + so2 + H20 ---> CaS03 ·2H 2 0~ + 2C0 2 CaS0 3 ·2H20 + 0.502 --->CaS04 ·2H 2 o~ [10:356]. The solids are sent to a settling pond and the liquid is recycled. Many problems occur with this type of process such as scaling, corrosion erosion and solid-waste disposal. .I Since the scrubbing cools the waste gas, the gas must now be heated to achieve buoyancy [10:356-7]. Magnesium oxide can be used in much the same way as lime in the lime scrubbing method but, magnesium oxide is regenerative. The sulfur dioxide is scrubbed with a solution of magnesium hydroxide which leads to the production of magnesium sulfite. Separation and calcination regenerates the magnesium oxide. This system generates no waste because the magnesium is recycled. However, the calcination used for this recycle requires heat above that which is needed to raise the temperature of the waste gas [10:359-60]. The disadvantage of the throwaway system mentioned earlier can be overcome by using the double alkali scrubbing technique. The flue gas is first scrubbed with a sodium oxide and this spent liquid is sent to the second reactor where it is mixed with lime. The lime reacts with the sodium bisulfite to form sodium sulfite which is recycled. The resulting calcium sulfite/sulfate is suitable for land fill [10:363]. Although sulfur dioxide could be absorbed by water alone, the circulation rate and stripping steam rates would be too large to be 8 economic. These rates can be lowered by the use of alkaline solutions. Two such processes use either a sulfite solution or a citrate solution. One of the best known methods is the Wellman-Power Gas system. A solution of sodium sulfite scrubs the sulfur dioxide and forms crystal sodium bisulfite in the reaction so2 + Na 2 so3 + H20 ---> 2NaHS03 The sodium sulfite is reclaimed by heating. A 90 percent sulfur dioxide stream which results is sent to a Claus unit. This Claus unit removes the sulfur pollutant and changes it to elemental sulfur [10:361]. More will be said about this unit later. The citric process is used for low sulfur loads and can obtain up to 90 percent sulfur dioxide removal. The sulfur dioxide is converted into 99.5 percent pure elemental sulfur. The reactions are: S0 2 (g) + H20(l) ~== HS03 + H+ (citric solution) H+ + HS03 + H2S ---> 3S(s) + 3H20 The hydrogen sulfide must be either made available from another process in the plant or else made from the sulfur recovered. The utility cost for this process are very low, and the organic acid reagent is nontoxic and biodegradable for minimal environmental impact [10:364-5]. A newer form of sulfur dioxide removal is called dry scrubbing. This is much like wet scrubbing except the water in the alkali solution is just enough to be evaporated by the flue gas. The subsequent particles must now be removed along with the fly ash. This may be accomplished by using electro static precipitators or bag houses. Dry scrubbing is much less expensive than wet scrubbing and requires less maintenance [10:365-6]. Chapter 3 THE REMOVAL OF CARBON DIOXIDE Carbon dioxide must be removed in large quantities in the manufacturing of hydrogen and ammonia as well as in the treating of natural gas. The carbon dioxide must be reduced to 2 percent for pipeline gas, and reduced to 10 parts per million for the synthesis of ammonia [1:201]. Carbon dioxide is an acid gas and when it is dissolved in an aqueous solution, it forms carbonic acid, H2co [1:207]. 3 Although there are both physical and chemical absorption, the physical absorption is insignificant when using alkaline solutions. Figure 2 is a plot of the first and second dissociation constants of carbonic acid. Since the second dissociation constant has such a high pK, the carbonate ion will only be formed in strongly alkaline solutions. These solutions cannot be regenerated and are not used as chemical solvents [1:208-9]. The formation of the bicarbonate ion is very important in the absorption of carbon dioxide into an alkaline solution. occur in two ways. -~ "t"-- This may The first mechanism has the reaction HC03 as the kinetic step [1:209]. The rate of this reaction is r = k[OH-]([C0 ]-[C0 ]) where [C0 ] = [H003]/[0H-]K , and 2 2 2 2 K2 is the thermodynamic constant. The kinetic value k for dilute solutions can be represented as log k =13.635 - 2895/T for a range of 273-213 K. For stronger solutions where the ionic strength affects k, 10 11 5 -:;; 5u c: .2 t ~ .~ I.- ~ I u 'ti "g Jl'"' t- I ! i I i iI 10-ll IL ·----~· I __J__J_,~~~~~-J---L--~.~~--J-~ 2.5 3.0 HlOO.'T, 3.5 K -1 Figure 2 First and Second Dissociation Constants of Carbonic Acid Source: Astarita, Savage, and Basio, p. 209. 12 the following is recommended: log k/k inf dil = 0.08 Ii. These lead to an overall equation fork of log k = 13.635 -2895/T + 0.08 I ~.• = ""k[C0 2 ] second mechanism has a rate of r The but ./'k is so low that it is only relevant at pH levels below 8 [1:210]. For the absorption of carbon dioxide into hydroxide solutions, the main reaction is C0 2 + 20H- = C032-+ H 0. As long as 2 the hydroxide concentration is high enough, the bicarbonate ion concentration is negligible [1:211]. The partial pressure of carbon H dioxide from this reaction is p = -Km very low being only 6.7x10-8 y ----:z (l-2y) . The H/Km term is atm at 100 °C and 1 gmol/liter. Therefore the hydroxide solution cannot be regenerated and can be used only once. However, because partial pressure is so low, the hydroxide solution is capable of removing the final traces of carbon dioxide which makes it an attractive process after the bulk of the carbon dioxide has been removed [1:211]. These low partial pressures are at most 10-3 of 10-S gmol/liter or less. atm or ai values This means that the Ioo from D - m (1-2y ) OH o o are on the order of 105 • Where a. ~ D represents the diffusivity of each species. This is a fast regime reaction such that I =fi = Jkm (1-2y )tD. 0 0 I is of the order of 10-100 so mass transfer control is liquid sided [1:212]. The reaction of carbon dioxide with an amine is believed to be a two step mechanism. The first reaction is slow and therefore the rate determining step, co reaction is RN+HCOO- + RNH 2 ---> + RNH ---> RN+Hcoo-. RNH; + RNCOO-. The fast Therefore the 13 ~1 overall reaction is first order, r =keF [00 2 ][RNH] [1:213]. Amines can be classified by the parameter P which is an indication of the stability of the carbamate ion. The carbamate jP2- 4y(1-y) P - concentration can be written as ""b3 = -------------- , where 2 P = 1 + (1/Kc m) and ranges from 1 to infinity [1:213]. The three main reactions for amines are: ---> CF: C02 + 2RNH BF: C02 + RNH + H20 RNH 2+ + RNCOO- ---> RNH 2+ + HC0 3- RNCOO- + C0 2 + 2H20 --> RNH; + 2HC03 where R is an alcohol depending on the individual amine, and CF, BF, CR: and CR will be used to reference the equations [1:213]. For a stable carbamate ion, P = 1 and occurs in primary amine solutions. and at y At y > 0.5 < 0.5, the carbamate formation is the main reaction the CR reaction is dominant. As can be seen from figure 3, the vapor pressure of carbon dioxide is minimal at low temperatures and low y. This means that the amine can absorb practically all of the carbon dioxide, to a level less than 100 parts per million [1:216]. Since as y < 0.5, the CF reaction dominates, the rate is r = 1 b2b3 - ~- K b1 A plot for kCF is given in figure 4. equation tr 1 y 2 = - ---- K ( 1 - 2y) [1:221]. Using this data and the = l/kcpm0 (1-2y 0 ), the reaction time can be calculated. These times are in the fast reaction regime so that the enhancement factor can be calculated as I =Jtd/tr =Jkcpm0 (1-2y 0 )tD [1:221]. The general flow diagram for carbon dioxide removal with • 14 100.0 / / /DEA '/ .!! c.. / / 10.0 r:.' 0 "5 ~ t > 0 Ql ~ a. Ql 1,0 E ::> ,2 ::> :r " N 0 u 0. i 0,01 .. ~------~-----~~-----~~----~~-----~~~ 0 0.2 C0 0.4 2 0.6 0.8 1.0 in solution, :nols CO.,/mol amine or initial r:.orbonofe Figure 3 Equilibrium Pressures of co Over Aqueous Aminoalcohol 2 and Potassium Carbonate Solutions at Absorber Top Conditions (40 °C) Source: Astarita, Savage, and Basio, p. 217. 0 ' 15 ' ' EDA '' '' ' ' DGA MIPA '~, 10 ,, '' '\ •., .. 011'·' · '' ,, ' '''<", ·..·..·.,, ''~, ' ·.. 5 ·.'_, ' '' DEA Abbrevia~ion ., ' ' ' ' '·' ' -..:' ' ' ·..·.' ' ..~'""' MEA··.' ', ' ' ' , ·. •• ''' ' ' ' ·..·. '' '·. '',,_ -, '~~·~.\. ~thv:enediamlne EDA o~- ' , ~ ''·, -...l.....·---'-~--_;__,.__·,_._] (i.,finitc di!t:tion) MEA DGA MIPA OEA 103 .. , hydroxyl iori ~ ' mor1oethonoi.cm i ne ~ 1 p' hydfDxyaminooihyfe rfw ·... rr.onoiscprcponolamine ·.. dil!•horn: :<v..;(.,e ...._L 2.4 2.6 2.8 3.0 3.2 3.4 3.6 Rec iproco! temperotur~, 1000/T, !<-1 Figure 4 Arrhenius Plot of Second-order Reaction Rate Constants for C0 -Hydroxyl Ion and co -Amine Reactions 2 2 Source: Astarita, Savage, and Basio, p. 219. 16 monoethanolamine, MEA, is shown in figure 5. MEA is a primary amine such that the nitrogen atom is connected to two hydrogens and one alcohol. The high stability of the carbamate ion in the MEA solution causes difficulty in stripping and therefore, the reclaimer is used in the MEA process [1:222]. When P approaches infinity, the carbamate ion becomes unstable. This is the case of tertiary amines where the only reaction to be considered is the bicarbonate formation. pressure of carbon dioxide is given as * HKP p = --- y 1-y where Kp is the amine protonation constant and Kc The equation (1-y)/y the hydroxide concentration is [OH-] 2 m Kcl dissociation constant. 1 is the first < JmKp/Kw = Kw/Kp * The vapor holds when (1-y)/y ie. This holds true since JmKp/Kw is of the order of 1000 for tertiary amines [1:224]. The reaction of the bicarbonate in these tertiary amines is slow in comparison to the MEA solutions and therefore is not an attractive process for carbon dioxide removal. The tertiary amines, however, because of this fact, are used to selectively remove impurities which react faster than the carbon dioxide [1:224]. For a moderately stable carbamate ion, P is in the range of 2. For this case when y reactions. A Using db < 0.5, both the BF and the CF are main A 3 as an increase of the carbamate and db 4 as an increase in the bicarbonate, the thermodynamic progress ratio can be found by the following [1:225]: db3 = --- dy = dy 1-2y .; P 2 -4y( 1-y) A - dy and db 4 17 Pcrified Sv.,thesi s Gas I ·J Synrne> _Gm I ~_ ~!ution Cooler _t- ~---Ab~ S.,lution Hec:;t 1. ----------------·---~-c~-·~--------------------------·----------~! ~,,n~n:tor Figure 5 Flow Diagram for a Traditional MEA-C0 2 Scrubbing Unit Source: Astarita, Savage, and Basio, p. 222. J 18 This is with carbon dioxide increasing ie. becomes(~) = (~~) BF T db The ratio 1 - - - ----- j[P 2 -4y(1-y)]/(1-2y) - 1 4 This shows that the for y dy is positive. [1:225]. "' is the progress of the CR -db 3 > 0.5, A reaction, but that the db 4 is due to the formation of both species. A A Since the BF reaction can be related as db 3 + db 4 , the ratio can be simplified /\ as(~~) = BF T -db3 2y - 1 lh;-~-d~: -jpZ [1:225]. -4y(1-y) For carbon dioxide absorbed in carbonate solution, the main reaction is C02 + H20 + C0 23 non-volatile species [1:68]. 2HC0-3 , with C0 23 and HC0 3 as the The molarity is given as C032- + .5HC0- , ---> 3 and the saturation as .5Hco;. now be given as [ co23 ] The concentrations of these species can and [HC0- ] = 2my [1:68]. 3 The equilibrium condition for the above reaction is K = 2 = m(1-y) b2 /b 1a with K being in the 1000 range [1:69]. gives: a = 4m/K * y 2 /1-y, and since p* = Ha Combining equations from Henry's Law, the equilibrium partial pressure is written as p* * m * y2 /1-y = 4H/K This equation relates y and p* well but does not do very well [1:69]. for molarity and p* • The data is correlated by 2 p* = 1.95 X --T-- 109 m" 4 (y _y) exp (-8160) where T is in K, p* is in atms 1 and m is in gmol/liter. Henry's constant is correlated as log H/H0 0.125m, where H0 is H for water at the same temperature [1:229]. The hydroxide concentration is [OH-] is the water dissociation constant. can now be written as r = kK 1 = K1 * 1-y/2y where K1 The rate of the main reaction * 1-y/2y *(a-a) where a = 2y/1-y 1/K2 where K2 is the equilibrium constant for co + OH- ~~ HC03 2 * = 19 Now the reaction time can be written as tr = 1/kK 1 * 2y/1-y [1:230]. There are three main flow arrangements for carbon dioxide removal. See figure 6. Each has its own use depending on the amount of carbon dioxide present. to the absorber and regenerator. rich/lean heat exchanger. The first method has a single flow This method also lacks the common This method will remove carbon dioxide down to 5 psia partial pressure [1:241]. The second method has a split stream to the absorber but a single stream to the regenerator. Only 30-40 percent of the stream is cooled by 20-70 °F before entering the absorber. The equilibrium back pressure in this smaller stream allows carbon dioxide removal down to 2 psia partial pressure [1:241]. The third method has split streams to both the absorber and the regenerator. The major portion leaves the regenerator at the top, and the minor stream, 15-40 percent is regenerated further and then cooled. Carbon dioxide removal in this method can be as low as 500 parts per million [1:241]. 20 Gos Out __ ....t._ Ab ~Qv• Acid Gos ,,, ,. r.r;- ·' ,, ''' 1,' t' ~~·; .,, ,,, ,,, Regenerator ./I, ,_, ~::;, ,,! .,,. 'It '•, ., ,, Gas In Rich Solution Solution (a) .. C> 0 V'\ .Jt g> v; Gos In (b) Gas Out Add Gos .. 0> 0 Vi •1 :.1 ··J Goo'" ·~ (cl Figure 6 Hot Carbonate C0 2 Removal Flowsheets Source: Astarita, Savage, and Basio, p. 242. Q • Chapter 4 THE REMOVAL OF HYDROGEN SULFIDE Hydrogen sulfide is the most common sulfur contaminant with carbonyl sulfide, carbon disulfide and mercaptans generally occurring at lower levels. processes. Hydrogen sulfide must be removed from many It must be removed to prevent air pollution, to reduce corrosion, to ensure good health, and to prevent catalytic poisoning. The hydrogen sulfide must be reduced down to 4 parts per million for pipeline gas and must be as low as 0.01 part per million to prevent catalytic poisoning [1:245]. After the hydrogen sulfide has been removed, it must be disposed of in a safe manner. The most cases, the hydrogen sulfide is sent to a Claus plant where it is turned into elemental sulfur. These Claus plants have been used for eighty years and are still used today [1:245]. When the gas first enters the Claus plant, it is split into two streams. H S + 3/2 0 2 2 One third of the stream undergoes oxidation = so2 + H 0 and the remaining stream is reacted with the 2 S0 2 from the first reaction 2H S + S0 2 2 = 3/N SN + 2H 20 [1:246]. Since hydrogen sulfide is an acid, it will react with all bases. This is an instantaneous reaction since the reaction time of simple proton-transfer reaction is of the order of 10This reaction can be written as H S + B 2 represents a base. = BH+ 13 sec [1:253]. + HS - , where B Since this the only reaction to be considered, the 21 22 concentrations can be written as [B] = m(l-y) where y is the fractional saturation. is written as y ___ Pm p* = HK KS1 and [BH+] = [HS-]= my The equilibrium vapor pressure 2 where K is the protonation . 1-y p constant of the base Kp = [B][H+]/[BH+], and KSl is first dissociation constant of hydrogen sulfide [H+][HS-]/[H S] [1:254]. 2 The overall hydrogen sulfide vapor pressure can be defined as Ks = my 2 /(1-y)p* which is inversely proportional to Kp (1:256]. The most common way to remove hydrogen sulfide from a gas stream is the ethanolamine or Girbotol processes. In this method, the hydrogen sulfide and usually carbon dioxide, are absorbed in a high pressure, low temperature column. The stream is then sent to the stripper where it is heated to regenerate the amine solution. Triethanolamine was first used in the process but monoethanolamine was found to be more suited as it could absorb more acid gas. MEA, however has the disadvantage of forming compounds with carbonyl sulfide and diethanol urea. This results in a loss of amine. Therefore, diethanolamine is used for refinery gases and MEA is used for natural gas treating [9:96-8]. A process developed by Shell uses a 40 percent solution of potassium phosphate as the absorber. This solution is more stable than the amine solution, and is more selective towards hydrogen sulfide [9:100]. The production of elemental sulfur from hydrogen sulfide is the idea behind the oxidation process. In this process, sodium or ammonium carbonate solution is used to absorb the hydrogen sulfide. Small amounts of ferric oxide act as a catalyst in the oxidation of hydrogen sulfide. Sodium thioarsenate is used in the Thylox process with the reactions being H2S + Na 4As 2s5o2 = Na 4As 2s6o + H20 [9:102-3]. Choosing a process for hydrogen sulfide removal depends on the initial concentration of H2S, the degree of cleaning required, and the presence of other contaminants. Chapter 5 THE REMOVAL OF HYDROGEN SULFIDE AND CARBON DIOXIDE There are two cases to consider when carbon dioxide and hydrogen sulfide are both in the gas stream. Case one requires that both contaminants be significantly lowered, and the second case requires that the hydrogen sulfide be selectively removed. The selective removal of hydrogen sulfide is necessary to provide high concentrations of hydrogen sulfide to a Claus plant [1:266]. The hydrogen sulfide must be reduced to four parts per million and the carbon dioxide is reduced anywhere from 2 percent to 100 parts per million, depending on the requirements. The removal of carbon dioxide to 100 parts per million is required in the manufacture of liquid natural gas, and the less stringent requirement of 2 percent is common for natural gas transportation in pipelines [1:267]. One such method of simultaneous removal uses an inorganic salt of a strong base and a weak acid. as MX. This salt will be indicated The three basic reactions are: C02 + H20 + X- = Hco; + HX H2S + X- = HS- + HX Hco; + x- =co~-+ HX [1:284]. The equilibrium vapor pressures for the first two reactions can be written as p* =Hm K X Kc1 y(y + y') --------1 - y - y' 24 and p*, K y'(y +y') = H'm Ks1 --------1 - y - y' leading top */p* ' = H/H' * K y/y' where y is the concentration of cs carbon dioxide and y' is the concentration of hydrogen sulfide [1:285]. The hydroxyl ion concentration is written as [OH-] (1-y-y')/y+y' assuming y andy' exist [1:286]. = Kw/KX * This concentration is less than the concentration in the carbonate solution ie. m= [ 0H- ] +2[C032- ] since Kx is larger than the second dissociation constant for carbonic acid. This means that the carbon dioxide reaction mentioned above reacts at best, in the fast regime. And the simple proton transfer of the hydrogen sulfide reaction is instantaneous as mentioned before [1:286]. Another method of removal involves the use of carbonate solutions. In this type of solution, the second dissociation constant of hydrogen sulfide is so low that practically no S2- is formed. For the reaction H s + CO 22 = HS - + HC0 - , the 3 concentrations of carbonate and bicarbonate changes but their sum Therefore, m(l+y)= [C0 23 ] + [HC0 3 ], where m is the molarity given as m = [C023 ] + 0.5[HC0 3 ] + 0.5[HS ] [1:85]. stays the same. The equilibrium vapor pressures can be written as: p* = Hm (2y +y')2 K --------1-y-y' Letting K = --- and *, p K' and K r = H'm (2y + y' )y' = K' ---------1-y-y' sl then Kc2 * *-; p H =- K P H' cs [ 1:287]. This means that carbonate solutions will not remove hydrogen sulfide unless it also removes carbon dioxide. This is true because if the solution absorbed only hydrogen sulfide, then p*/p*' would increase and this would create a strong driving force for 26 desorption in the stripper, but this would not be the case unless carbon dioxide is also absorbed [1:288]. Amine solutions are another way of removing carbon dioxide and hydrogen sulfide from gas streams. The stability of the carbamate ion plays an important role as to determining the selectivity; this was discussed in the section on carbon dioxide removal [1:289]. The equilibrium vapor pressures can be determined using the following equations. + 2RNH = RNCOO- + RNH+ [1:71] and RNH = RNH; + HS- [1:87], the resulting vapor pressures are * H y(y + y') H' y'(y + y') p =----------and p*' = K' m K 1 + 1/Kcm [1:291]. and since K'/K = K /K then the ratio can be written as sc c' H y = -- K H' 1 sc y ' 1 + K m c [1:290]. The selectivity is determined by the stability of the carbamate ion as stated before and can be restated briefly. The more the amine behaves as a tertiary amine, the higher is its selectivity towards hydrogen sulfide [1:292]. p Chapter 6 ABSORPTION Absorption is a process involving the transfer of molecules from the gas state into the liquid state because of a concentration gradient between the two phases. mass transfer. This is basically unidirectional The soluble component in the gas phase is called the solute and it is picked up by the absorbate of the liquid layer. This is one of the most advanced techniques for separation of gases, and can be used to remove pollutants from a gas mixture [3:242]. Figure 7 shows a simple layout for an absorption plant and consists of an absorber, a regenerator, and the necessary auxiliary equipment such as heat exchangers, pumps and holding vessels. The raw gas enters the absorber at the bottom and mixes with the liquid coming down. The pure gas exits at the top, and the now contaminated liquid exits at the bottom. The liquid is sent to the regenerator where the absorbed gas component is stripped from the liquid and sent to another unit. absorber. energy. The regenerated liquid is then recycled back to the There are usually heat exchangers in this process to save The cooler, contaminated liquid is heated by the freshly regenerated liquid; this lowers the temperature of the absorbing liquid to enhance absorption. heated to enhance stripping. The contaminated liquid in turn is The absorption also needs higher pressures than the regenerator, so pumps are used to boost the pressure as well as transport the fluids. 27 This extra pressure going • 28 Treated t Go• Out I I Acid Gas lo r - - - - - - - " 1 Sulfur Plant F • •• .I Raw Gos In-- A - Alosorber W - Water Wa;h llf -- HrdrocorLun F lo>h ~ - A, id Gm Flush R - kr,genercncr H - l.0w -Level (Woste) Heal l<~i>c.iler Figure 7 Idealized Solvent Absorption Acid Gas Removal Process Source: Astarita, Savage, and Basio, p. 12. 29 to the regenerator can be reclaimed by using hydraulic turbines [3:244]. Since, in an absorber, the gas must interface with the liquid, the larger the interface area, the more efficient the absorber will be. The method used to generate these areas is an important property of the absorber [3:249]. There are three groups of absorbers depending on the method used to generate the interfacial area: a) generation of liquid films b) generation of jets c) generation of bubbles and drops therefore the names of the absorbers are: a) film absorbers b) jet absorbers c) bubble and drop absorbers [3:250]. There are three types of film absorbers: a) tube bundle columns b) packed columns c) fluidized packing columns [3:250]. The important properties of a tube bundle column are: high gas flow rate, low pressure drop, high mass transfer rates, simple elements, and effective liquid distribution [3:251]. See figure 8. The packed column is packed with small cylindrical or saddle shaped elements. The packing material aims to ensure complete wetting, by avoiding dead spaces and recirculation. It is also favorable to obtain high mass transfer and low pressure drops. is done by using larger elements [3:252]. See figure 9. This 30 purified gas exit liquid distributor tube bundle 1st stage Figure 8 Example of a Two-Stage Tube Bundle Column Source: Brauer and Varma, p. 251. 31 ~purified gas outlet packing''packing packing,,_ polluted gas inlet absorbate exit Figure 9 Design of a Two-Stage Packed Column Source: Brauer and Varma, p. 252. 32 The difference between the fluidized packing column and the packed column is that the fluidized column is operated at a much higher gas flow rate so that the particles are fluidized. Large spherical particles with very low density are generally used. These particles move very quickly and have many collisions which prevent fouling, therefore this makes for a self-cleaning absorber [3:254]. See figure 10. The jet absorber introduces a turbulent jet stream of liquid absorbent at the top of the absorber. As the distance from the nozzle increases, the liquid starts to form drops. The gas is also introduced at the top of the absorber so an intensive mixing takes place. This system is suitable for situations which allow for a very slight pressure drop [3:255]. See figure 11. The interfacial area in bubble and drop absorbers is produced by dispersing one phase in the other. phase can be dispersed. Either the gas or the liquid There are three types of gas dispersed absorbers: a) plate columns b) bubble columns c) rotating disk columns [3:256]. The plate column is a cylindrical vessel with plates spaced about 0.5 meter apart; the number of these plates depends on the mass transfer rate required. The contact between gas and liquid takes place in the pool of liquid which forms on these plates. important designs of plates are: a) bubble cap b) sieve plates The most 33 mist s.pt~rator absorbMt •n!~l wpftHf fluid1 zed packing --gas · distrib:.lfion plate (1= e;b;sorbat cu tiel .i.. ,_ aOsorbMI I _l c:-v' - - - - ----·<;}-----~---' Figure 10 Design of a One-Stage Fluidized Packing Column Source: Brauer and Varma, p. 254. abscrbent pol(ut~gas ml..t purifi~ =) gas outlet t turbu~nt 1 .... liq111d jet 1; ' I r I gas/liquid sep..vating-~_ vessel absorbent absorbat <= -----L---.L--{ Figure 11 Design of a Jet Absorber Source: Brauer and Varma, p. 256. 35 c) valve plates (see figure 12) [3:256-7]. Hundreds of bubble caps may be on one tray with an average bubble cap diameter of 10 centimeters. plate is on the order of 10 millimeters. The hole size on the sieve The valves may be thought of as bubble caps which adjust to the gas flow rate to give the best dispersion [3:257]. The plate columns have the advantage of variable operating conditions but are very sensitive to foaming [3:257]. A bubble gas column is also a gas dispersing column. The bubbles are generated only once by means of a suitable device close to the entrance of the raw gas. These bubbles are then left to rise very slowly to the top of the absorber. This low gas flow rate makes this absorber type impractical for air pollution control, where high gas flows are required [3:258-9]. The rotating disk column, see figure 13, is a multi-stage absorber. Each stage consists of two conical sections attached by a cylinder. The rotating disk is in the cylindrical section and disperses the gas in the liquid. This type of absorber is used for treatment of small gas flow rates, but has the highest efficiency of all the absorbers [3:259]. The liquid dispersed absorbers are: a) Venturi columns (figure 14) b) nozzle spray columns (figure 15) c) rotating disk spray columns (figure 16) [3:260]. In the Venturi column the absorbent enters at the throat of the Venturi. This is the section where the gas velocity is at its greatest thus making a highly efficient absorber. This high 36 or"3n~,.nl #II ht1i~J in plOt• orra"~·,.,., . ~., on ol p/O,. Figure 12 Three Different Plate Arrangements Source: Brauer and Varma, pp. 258-9. 37 ',' f 5epar<Jtion t<.--1-+--'-'.,>, zone --,~action zone Figure 13 Design of a Multistage Rotating Disk Column Source: Brauer and Varma, p. 260. 38 pollut•d gas iniel canfusor. __ liquid diSPif"Sion- zone l lr -n 0 .o:=::J--a_b_s_or.b_•_n_t_i_nl_•_t _ _ _ _~ diffusor - ___ .J-, ~ ' :' b<-I \_~' _::liqui~ purif1ed gas outlet s=r fresh absorbent inlet Figure 14 Design of a Venturi Column Source: Brauer and Varma, p. 261. 39 purifi~d gas outl~t !=Y?oh-:"':"<"-.i.--~mist s~parator f~sh absorb~nt ln~t s«:ond spray z absorlJat~ absorbent cycie Figure 15 Design of a Nozzle Spray Column Source: Brauer and Varma, p. 262. 40 "'--r rotating ' disk dispersion elements ~-~~ absorbate cycle le fresh absorbent inlet Figure 16 Design of a Rotating Disk Spray Column Source: Brauer and Varma, p. 262. 41 efficiency however is offset by the energy needed [3:260]. In a nozzle spray column, a liquid mist is formed by pressure nozzles at various levels in the column. The gas enters at the bottom, flows through a special gas distributor, and countercurrently mixes with the liquid. The pressure drop in this system is very low and is caused by the gas distributor. This gas distributor, however, creates an even flow of gas which increases the efficiency of the column [3:260]. The rotating disk sprayer uses rotating disks to throw the liquid horizontally. The gas however; flows in the axial direction. This absorber has the advantage of low pressure drop and is easily adaptable for higher flow rates or higher pollution concentrations. The capacity is simply increased by increasing the amount of liquid used [3:261]. Different processes demand different absorber characteristics. Therefore, there is no one universal absorber. Each absorber must have its own design dependent on the process. quality of absorbers is described by the following three sections: a) General process criteria: species of pollutant pollution concentration gas flow rate absorbent physical or physical absorption cocurrent or countercurrent flow adaptability or rate changes capability of dust removal The 42 danger of fouling or plugging danger of foaming danger of corrosion b) Mass transfer and fluid dynamics criteria: size of interfacial area generated renewal of interface mass transfer coefficient concentration difference between gas and liquid minimum liquid flow rate pressure drop or energy required for absorption volumetric efficiency c) Equipment criteria: size of absorber rationality of design construction materials investment cost maintenance cost emission proof design [3:262-3]. The chemical and physical characteristics of the pollutant form the basis for all considerations. The gas flow rate is important to determine the size of the vessel; see figure 17. Practical operation and performance of an absorber depends on the adaptability of the absorber to change with flow rates and pollution concentrations. Size must also be taken into account and a rational design will always be the least costly design. [3:263-4]. See figures 18 and 19. Although chemical absorption dominates in air pollution 4.) Figure 17 Application of a Few Absorbers as a Function of Gas Flow Rate and Height-to-Diameter Ratio Source: Brauer and Varma, p. 264. 44 rongt! of clo.s~ty tu~ po r:k«< bundt~ column 1 I;:J- 2 l s 10 1 2 s 10-' •l•,ln,,l_,_l,__ :L)j.___---' -,--:.1- 1C11,_·_ _.......__ ___._. 10- 5 ur' w-3 ro-; to-' 10° btlbble,portic!e, and tube diameter d [m] Figure 18 Dependence of Specific Interfacial Area a on Bubble, Particle and Tube Diameter d Source: Brauer and Varma, p. 265. 45 Figure 19 Specific Interfacial Area a as a Function of Volumetric Energy Demand for Various Types of Absorbers Source: Brauer and Varma, p. 265. I ' control, the physical equilibrium conditions are still important. Absorption in carried out under the following conditions: a) the critical point and the dew point of the gaseous pollutant are below the absorption conditions b) the vaporization point of the liquid is below absorption conditions [3:266]. The relationship between the concentration of the pollutant in the liquid and gas phases can be represented by: PA = VAXAPA,s' where pA is the partial pressure of the pollutant and is a function of the coefficient of activity, YA, molar fraction of the pollutant in the liquid, xA, and the saturation pressure of the pollutant, pA ,s [3:266]. Henry's law can be stated as: pA = HAxA, where H must be found experimentally, and xA is defined by: XA = --------------- = CA + CB + . • • CA c where cA and cB [kmol/m3 ] are the molar densities of components A and B of the liquid. The sum of all molar fractions must be equal n =1 to 1 ie. [x [3:266]. i=l If ideal behavior of the liquid is assumed, Raoult's law applies; therefore, YA =1, and the equilibrium constant, KA,PHY may be defined as: y APA,s = ----- p = HA p I [3:267]. Since the pollution concentration is relatively low in the gas mixture, Henry's law applies. on figure 20. Some Henry coefficients are shown High values of HA indicate poor solubility of the 47 ~::~~~~~~~~;:~::=:~~--~-~-~-~~~~ 6 l ..___ "' ~"" ~ ~ . :t i :Q 6 . ::.:: 0 u ~ 2 j.L-...,...,----------;-- · - - r - · - - - - l ~ .I : 10' f.---' _ __;__----r t- -------'-~--,---.L I -+---~:--+-~.--~ ;I ! I ! ' I : • r ; . [E;-~: ~-. 2 JO' 270 l j • . . 290 : . ~ . , .;. HCI ___j_ [jll::i! i_ I : i I ! ~ ! ·--~· 310 ! I _ _,__ _ 330 350 370 ttm~.·alu.~ T J K} Figure 20 Henry Coefficient HA for the Solution of Various Gases in Water as a Function of Temperature Source: Brauer and Varma, p. 267. 48 pollutant in the liquid and low H values indicate good solubility. Therefore, the higher the H value, the more liquid is necessary to ensure absorption [3:267]. In a chemical absorption process, the pollutant reacts with the liquid to produce a substance which is not a pollutant: )(, A+ zB .,=.= sP "~ where s and z are stoichiometric coefficients and k 1 and k 2 are rate constants which are determined experimentally. increase with rising temperature and pressure [3:268]. The chemical equilibrium constant KA,CH is defined as: CA CB where cA, cB, and cp are concentrations of A, B, and P respectively. For chemical absorption it is best if the reaction is product oriented; this makes the reaction very fast and diffusioncontrolled [3:268]. So, there are some differences between chemical and physical absorption. Chemical absorption is improved by increasing temperature and pressure, while physical absorption is improved by decreasing the temperature. In physical absorption, the pollutant will never be able to be significantly reduced, which is desirable. Therefore chemical absorption is most often used for air pollution control [3:268]. From the kinetic theory of gases, the diffusivity in the gas phase can be calculated for a single species as DG = 1/3 >-. u where A is the mean free path and u is the average velocity of the molecules. 49 The mean free path is calculated from the movement of the molecules without intermolecular forces and can be written as A= 1//2 Nv~ 2 where N is the number of molecules per unit volume andu is the The average velocity can be written as u = diameter of a molecule. JBRT/~ M where T is the absolute temperature, R is the universal gas constant, and M is the molecular weight [3:63]. The diffusion of two different species can now be written as 1 NA~AuA + NB~BuB DAB = - ---------------3 NA + NB where NA and NB is the number of molecules of each species [3:64]. The above equation can be simplified by using the mean molecular diameter crAB' and can be written as DAB 1 ;~-N(~~)2 (uA + uB) = __ 3 27~~--}(~+ 1 ) 2 3 2 N(u AB ) M = [3:64]. M A B Since the normal boiling points VA and VB are proportional to the cube of the collision diameteruAB' the above equation can be written as DAB= bp(VI73~;~;I73)Z ~(~ ~) + The constant b can be calculated from kinetic theory but more accurate diffusivities are obtained if empirical values are used [3: 64]. The diffusivities in the liquid phase can be calculated by using the equation F =- kT/c * dc/dx where k is Boltzmann's constant. This equation is based on Einstein's suggestion that an osmotic force acts on the molecules in the direction of decreasing solute concentration, c [3:65]. 50 Stoke's law, which relates the motion of molecules, can be used to represent the molecular resistance to motion. written as F = 3'ii pq- u This can be where cr is the diameter of the molecule, p is the viscosity and u is the velocity of the molecule. can now be written as u = -kT/3'IT cpq- * dc/dx. This velocity The rate of diffusion NA related to the concentration and the molecular velocity as NA uc = -kT/3'Ti pq- * = dc/dx [3:65]. The diffusivity can be calculate from Fick's law, NA = -D * dcA/dx, and is given as D1 = kT/3'ii p.o- [3:66]. When a system is in equilibrium, the molal concentrations of two species is constant and can be written as cA + cB = constant. Differentiating this equation with respect to x is dcA/dx = -dcB/dx. Where xis the direction of bulk transport and diffusion [3:66]. The amount of components A and B picked up by the liquid is proportional to the partial pressures, p, of each component. This means that the total flow for a species is a sum of the bulk flow fraction, NApA/P and the fraction absorbed. This can be written as Using the ideal gas law, the concentration of a species can be written in terms of its partial pressure by cB = pB/RT, and since for a two component gas, pA + pB =1, the total flow can be written as NA = NA (1- PPB) + RT~~ . ~:B dx f X This leads to the integral NA dx 0 which after integration yields NA [9:63-6]. 51 PB2 - PBl Defining the logarithmic mean partial pressure as pBM = - - - - - ln PB2/pBl The pollutant transfer may be described by relating the equilibrium curve and operating curve, see figure 21. . . flow rates will be Ng and N both in [kmol/s]. 1 The molar The solute concentration is given as y and is defined as: y = ------------- = PA + PB + ... where pA and pB are the partial pressures of the gas components, and P is the total pressure. Using this notation, the molar flow rate of the pollutant into the absorber is given as Ngyb and that leaving the absorber is given as N y g a NA both in [kmol/s] [3:268-9]. The amount of pollutant transferred to the liquid is: . = Ng(yb -ya) = N1 (xb- xa). They is plotted against x in figure 21, this is called the operating curve. This follows from the mass balance, and: Nl N g = ------- = X b tgor where or is the angle between the horizontal and - X a oc [3: 269]. The gas concentrations yb and ya as well as the liquid inlet concentrations x may be given. a Yb -ya ~= X a + -.--;-N1 /Ng Yb - Ya = X + -----a tgor This leads to: [3 :269].] This shows that xb increases with decreasing molar liquid flow . rate N1 • This lower liquid flow rate will decrease the pumping cost 52 -----·---- molar fraction in liqutd x, Kp Figure 21 Limiting Mass Transfer Conditions in Absorption Source: Brauer and Varma, p. 271. (~;', , 0 53 but will increase the size of the column. The equilibrium curve, which is also shown in figure 21, shows the concentration at the interface, Yp and xp• This curve must be found experimentally. For low concentrations, Yp and xp can be shown by Henry's law: [3:270]. In the general case however, the local concentration is given by: Yp /xp curve. = m, where m is the local gradient of the equilibrium Again, this is showing that a low H is better for absorption and that absorption is enhanced by high pressures and low temperatures [3:270]. Using overall coefficients Kg and K1 , a relation appears such that 1/Kg = 1/kg + = kg , small Kg H/k 1 and 1/K1 = 1/k1 + 1/Hkg. Therefore, if H is and the absorption is gas film controlled. = k1 large, then K1 If H is and the absorption is liquid film controlled [ 9:69]. The ratio of slopes of operating curves to equilibrium curves is called the absorption factor¢ : ~ = ~!-~Ng = N 1 _~~~ HA /P m should be greater than unity and is usually between 1.3 and 1.5; increasing ~ by increasing flow rate will however, increase pumping cost [3:270]. When the liquid enters the absorber, x for physical a absorption will always be non-zero because this liquid has been recirculated. zero. Therefore, y a in the gas will also be greater than This is why physical absorption is not enough to remove all 54 the pollutant. Theoretically, the gas concentration can be reduced to equilibrium concentration: (ya )min ---> ya,p with y a,p ---> xaHA /P [3:271]. For such an extreme condition, the operating curve (OC) on figure 21 and the equilibrium curve (EC) coincide. force ie. At this point, the driving concentration gradients, become zero. column must be infinitely tall. This says that the Therefore, the inlet concentration x a must be greater that (x )min [3:271]. a Another limiting factor is (yb)min=yb,p' figure 21b. Because the driving concentrations are so low, mass transfer does not occur. Therefore, absorption occurs only when yb < (yb)min = Yb,p" The slope of the operating curve should be equal to or greater than the slope of the equilibrium curve with ya ¢. For ~ . . > 1, N1/Ng > (ya)min. This is a restatement of increases when H increases. Setting ~ to the minimum value of 1 gives the minimum liquid flow rate for physical absorption: . . N1 ,m1n . = NgHA/P [3: 271]. So only minimum flow rates are required for good absorption. ~hemical For absorption, the stoichiometric relation between the pollutant and the reactant must be observed. depends on this ratio: N "'-'yNg 1 Therefore, the minimum flow rates [3:272]. The parameters of mass transfer include interfacial area, mass transfer coefficient and concentration driving force. the general equations of mass transfer is: . One of - NA = nAAP where nA is the molar flux density and Ap is the interfacial area. Local values for the molar flux density n are given for the gas phase as: 55 $ [3:273] $ g andB 1 are the local mass transfer coefficients for the gas phase and liquid phase, T is the absolute temperature and R is the universal gas constant. The following can be obtained for the gas phase: p nAg = j3 g TR (y - Yp) [3:273-4]. and for the liquid phase as: nAl =f91c(xp - x) The following must apply to the solute leaving the gas phase and entering the liquid phase: }31 c /3 g p TR= y - Yp nAg = nAl = nA; this leads to = tgY Using figure 21 and the above equations, mass transfer from the gas phase to the liquid phase can be examined. In the direction of the molar flux, NA' of the solute, concentrations in the gas phase changes to Yp and in the liquid layer to x. In the interface, the change is from Yp to xp. in a phase shows the resistance to mass transfer. this resistance is in both phases. 0°< Y< The angle Y This difference For figure 22a, is between the limits 90° and 0°< tgY <oo , OC is the operating curve, EC is the equilibrium curve and Pl is the operating point of the absorber. angle The derived above can be used to draw a line through Pl so that it intersects EC at P2 which has the concentrations Xp and Yp in the interface. Therefore, with the local driving concentrations known, the local mass flux density can be calculated. Figures 22b and 22c • 56 ! M TR I II ;,. gas1:1.1B.phase IItin bethMTR phases !in liquid phasej - ! liquid I ga.s i liquid I gas .Jr. I I I i ; I A I ' ; l1igh solubility I 1 , I I oC:./ ~ / / . 2 ~ , ; l (y->p; ~C I :.· y~A./~ / . / ' ! / Yp_,-: ~ j/: ' ! --1Xp i : I X Xp \ I A I ; low solubility !l , oy o~/ Ff_,/ f-C! I7 / P.,, 4! I X Xp i l I 1(xp-xJ-(xp-x)max': 1-G ! "iY-J_6l,,uxi I!rt-JT~ . b .'VA Ypi x _ soluttt ~~ I' i medium solubility : (x -xJ----D p ... I I I !soiute: - ,. y X 1 solute ~-N, i I ~as y ~,: X -! y liquid a c Figure 22 Mass Transfer Resistance (MTR) in Absorption Columns Source: Brauer and Varma, p. 274. 57 show the two special cases for absorptive mass transfer. 22b, (xp- x) ---> 0. For figure The resistance is concentrated in the gas phase; this occurs with a low Henry constant. With respect to point Pl, the concentrations differences in the gas phase reach a maximum such that tgY --->co. In the second case, figure 22c, the resistance is in the liquid phase. This is for high Henry constant such that tgY ---> 0 [3:274-5]. Calculation of the local molar flux density is done by the following: a) draw a diagram with EC and OC b) plot Pl on OC c) calculate ..81 d) calculate 8 g e) calculate Y f) draw a line thru Pl at angle Y g) determine point P2 ie. the intersection at EC [3:275]. h) calculate nA The mass transfer conditions can be related to the size of . the equipment using the molar flux NA per unit volume of the absorber vc : . NA vc = Ap vc s p g TR (y - yp) It can be shown that: Ap/Vc~l/d bubble or a liquid drop. substituting yields: const P NA -- = ~I+m- TR (y - yp) vc where d is the diameter of a gas It can also be shown that: /3g ~ 1/dm 58 . This shows that d strongly influences NA/Vc' and that the diameter of the bubbles or drops should be as small as possible. It is fairly easy to generate small particles but it is difficult to evenly distribute them [3:275-6]. The mass transfer coefficient depends on the type of phase distribution: a) particle systems that consist of either bubbles in a continuous liquid or drops in a continuous gas b) film systems that consist of a liquid film in a gas stream [3:276]. In film systems, the mass transfer is a steady state process, but in the particle system the mass flux and the mass transfer coefficient depend on time. For this process, the mass transfer at time= 0, independent of the mass transfer resistance: f-3 ~jD/t t~O This states that the mass transfer coefficient is proportional to the square of the diffusion coefficient D, and as t --> O,f-3 -->oo. Since for t --> 0, mass transfer does not depend on convection, does not depend on particle size. This all amounts to saying that an unsteady-state absorber will be more efficient [3:277]. Since the mass transfer resistance is reciprocal oft1, ie. R = d/D, where d is the characteristic length of the considered phase, reducing d will lower the resistance. These resistances can be summed as: d dl -~ + -Dg D1 which should be as small as possible. So the particles of the highly resistive phase should be made as small as possible [3:278]. Chapter 7 SELECTION OF A PROCESS The selection of the optimum gas treating process is a difficult problem which involves both technical and economic reasoning. There is no optimum gas treating process for all applications [1:357]. The selection of the solvent used in gas purification is based upon an economic analysis of the gas treating process and the related recovering process. If a Claus unit is to be used for sulfur recovery, the acid gas to the unit must be at least 50 percent hydrogen sulfide for the unit to operate efficiently. There are other processes which require less percentage hydrogen sulfide, but these methods are very expensive. Therefore, for economic reasons, a high percentage of hydrogen sulfide should be sent to the Claus unit in order to remove as much sulfur as possible [1:357]. The controlling factors in choosing an acid gas purification process are the raw feed gas pressure, the raw feed composition, and the required treated gas purity. Figure 23 shows an outline for choosing a process [1:371]. The circulation rate of the liquid absorber is dependent upon the partial pressure of the acid gas in the raw feed. The minimum amount of absorber should absorb all the acid gas and still provide a driving force for absorption at the bottom of the absorber tower [ 1:371]. 59 60 Treated Raw Feed Gas Gao CompcHitior., Purity Pressure, etc. Limitations oh sulfur / Disposal Hydrocarbon Solct>i!it; ~~ Cono---Jsicn I Mau T,ansfer ~"-------1 I• _--- Waste-heat lntegr>Jtion Degrcdotion Trace Impurities Removal Preliminary Select1or. I l __j I Sele<:.tion Figure 23 Selection Methodology for Acid Gas Removal Solvent Source: Astarita, Savage, and Basio, p. 372. 61 The amount of acid gas in the product stream will determine the amount of regeneration required. In order to have a driving force at the top of the absorber tower, the partial pressure of the acid gas in the product must be higher than that in the regenerated solvent [1:372]. Figures 24, 25, 26 and 27 have been developed over the years to show which process is the optimum depending on conditions. These graphs are based on existing process selection and may not be the best if there are other conditions to consider [1:373]. Carbon dioxide removal with no hydrogen sulfide present occurs in the purification of ammonia synthesis gas made by the steam reforming of natural gas. Carbon dioxide can be present anywhere from 3 percent to 65 percent. With the absorber column operating at pressures of up to 1000 psi, the inlet carbon dioxide can have a partial pressure of 650 psi. The required cleaning will reduce the carbon dioxide to 0.1 - 2.0 percent [1:373]. Using figure 24, for low carbon dioxide partial pressures, amines are preferred. For higher partial pressures, 75 - 100 psi, . promoted hot carbonate solution would work. For high partial pressures, above 100 psi, physical solvents should be considered [1:374]. Aqueous amine solvents will reduce carbon dioxide to 0.005 psi partial pressure, carbonate solutions to 0.2 psi and physical solvents to 1.0 - 3.0 psi. Therefore for a high partial pressure of inlet carbon dioxide with a requirement to be cleaned to very low levels, it might be best to combine a physical solvent process with a carbonate process [1:374]. Phyoocal Sot.,.f'lt Plus Amine i i 1.£ .... 8 0 ! iis. :; ...~ i 4r-- AQu.,..s am.rw i 2f- ' I 1L0.1 I z 4 ' ' i 6 8 1.0 2 Partoal preguno of 4 6 8 10.0 co 2 in prnduct·psi Figure 24 Range of Gas Treating Process Application for C0 Removal 2 with no H2s or Other Acidic Impurities Present Source: Astarita, Savage, and Basio, p. 207. 63 Physical Solvenn (witnCiaus plant) ¥-,oo . -o .£. Aq ... ous or organic 110lvent 10lutiora of primary or wcondory ominoaicohols (witn Claus plant) 0.1 Partial p<e,.ure of H S in product..,si 2 Figure 25 Range of Gas Treating Process Application for H2S Removal with no C0 2 or Other Impurities Presen~ Source: Astarita, Savage, and Basio, p. 249. • 1,~ I i 6 ! 4 '1-. 6 0 4 ~+ 2 -; .. 'f I' I ! l i ! l I I ! I : ... ~ 2 0.1 i I I I l i I i I I ! I I i i i I I 2 4 a a I i I I I a --j" 6 I I i L ! I ! I I I I 1 ! i I l ! -t-l-l I I ! i I ! ! JI _l 1.0 I i I 2 Partial pressure of i ! ' 11 II ~ ! I ! I I i I i l i .. I i I II I i I i I I i I I •• I II ' .. ! ! ! I I i I' i I I I l I ! I iTI I I/' ' Iid~-~ 'i ! II I I I I t I ! 10 4 I I I I! : i I I . l I I ii i I I hot ca:bonate or aqueous ! or Promoud orqanic solvent solutions of P[imary or aminoalcoho s I II I secondary I -W- I I! I I l f II- l I :I: a I I 8 II Solv.,u I I 100 I Ph~ical I I 'i. i ; I l II i 2 1 .5 I : i I I ! I i ·.$'.~ ~ ~ I ! I I j I i . . ~~..~~·~ ql I I II ~·~o~e(6 j !; 4 s a H~ in product psi I I ! I I 1 ", , 10 Figure 26 Range of Gas Treating Process Application for Simultaneous H S 2 Plus C02 Removal with no Other Impurities Present Source: Astarita, Savage, and Basio, p. 280. 65 1000 800 600 •oo - I -- iI I i i PHYSICAL SOLVENTS 200 (;) I 80 ;: 60 ' 40 ,.. - _, ~ "' ::'l ... ... ..J <( < "- -· .~ 6 0.1 I i ' '·• I I --r-: I . I AQUEOUS OR ORGANIC SOLVENT SOLUTIONS OF TERTIARY AMI~<OALCOHOLS OR WEAK SECONDARY AMINOALCOHOLS I ~: ~ I I - '_L_ ' .- ~-.,:. ~"'""" 4 i I I! I j ---·-"'-··+i i i , I OXiDANT SOLUTIONS 2 . r--r-+· ~ ;. ! .._,.----t--+-+· i ----+----+--+-4-+----+-----rl~ i ! - :~ I I i ! 100 !:) ...."'"' i ' I in <( II ~--r-:-; I f i ----~--~r-~-+-+----+-----+--+~1 ! l :~ ! : : I --'---..;-..L.....l.. : 6 8 1.0 2 4 6 8 1C.O i I I I J 2 4 . 1 6 8 100 H2S LEVEL IN i'ROOUCT GA.S, PPM Figure 27 Range of Gas Treating Process Application for Selective H S 2 Removal in the Presence of C0 2 Source: Astarita, Savage, and Basio, p. 281. 66 Although in some instances, the use of a physical solvent would appear to be optimal, hot carbonate solution is used. This is because the physical solvent will remove some of the hydrocarbons from the feed gas and substitute it with carbon dioxide. This requires that another unit be installed to recover this absorbed hydrocarbon gas [1:374]. Hydrogen sulfide removal with no carbon dioxide present occurs in the purification of refinery gas, natural gas, and for the recycle hydrogen used for oil desulfurization. The range of hydrogen sulfide partial pressure can range to 350 psi, and the purification can be as low as 0.1 to 1.0 grains/ 100 standard cubic feet. The choice of a hydrogen sulfide removal process also depends on the sulfur recovery process [1:374]. The most common treating problem occurs when both carbon dioxide and hydrogen sulfide are present. The requirements for purification are varied and can range from maximum removal of hydrogen sulfide and most carbon dioxide to removal of hydrogen sulfide only [1:374]. The partial pressure of the acid gas will help determine which process is best, but the ratio of the partial pressures will also be of interest when selecting a process. At high carbon dioxide to hydrogen sulfide ratios, promoted hot carbonate solution will be selected over amine solvents. At low ratios, amine or other organic solvents are preferred; this is because the carbonate solution is difficult to regenerate with high concentrations of sulfur present [1:375]. In some processes, it is necessary to selectively remove one 67 gas while leaving the others; the most common case being selective hydrogen sulfide removal from a stream also containing carbon dioxide. I The actual selectivity obtainable is related to the thermodynamics and kinetics of the system. The thermodynamic selectivity of a solvent can be defined as p* . I o<' where~ is the amount of A absorbed, and the primed quantities refer to hydrogen sulfide. H 2 s content to the C0 2 When ST > 1, the ratio of the content at equilibrium, is larger in the liquid phase than in the gas phase [1:91]. For physical solvents, the selectivity equals the ratio of H the Henry's law constants [1:91]. The selectivity in water is 3.05, but higher selectivities are available in non-aqueous solvents; see figure 28. These physical solvents, in addition to having poor capacity, have practically no kinetic selectivity, so that thermodynamic selectivity is the best they can obtain. For chemical solvents, ST = p* H a y' y' p*' y = [1:92]. H' a' y Since all chemical solvents for hydrogen sulfide and carbon dioxide are alkaline, the following equation is possible [1:92]. The equilibrium constant for the above equation is K as cs plotted in figure 29, and can be written as: [1:92]. 68 • Solvent N 0 ~ N :t: I V'> ~ ,_ :::; ~ ..I 0 V> me thy I eyQOOCICI!tote propy Iene earbcrlcte terranydrothioFene1, 1-dioxide dimetnvlether of poly~thylene 'illycol tributyl phosphate N-methyl- t-e~ls:ctam N-methyl pynolidone methanol PC Sulfolane Selexol TBP NMC NMP M.OHe • V'> < NMC Me. A TBP SELEXCL <.:> a v<( w • SULFOLANE ~ • MeOH 1:1.. ..... 0 0 ;:: e ePC MCA ~ C'_l~-------:-':L:----~--·--L0 lQ 20 30 H2S SOi.~ILITY, CC/CC SOLVENT/AIM, Figure 28 H S/C0 Solubility Ratio for Organic Physical Solvents 2 2 Source: Astarita, Savage, and Basio, p. 91. 69 j j ·-· ·~------4--~··-----3~ 3.0 3.2 3.4 Figure 29 Arrhenius Plot for K cs Source: Astarita, Savage, and Basio, p. 87. ~.o 70 The selectivity can now be written as H S T = H' -- [HC03l y' ----- -- K cs [1:92]. [HS-] y Since the second dissociation of hydrogen sulfide is so low, as can be seen on figure 30, most of the combined hydrogen sulfide is in the form of HS-. however, can exist as Therefore, except for Therefore, my' < 1, 2 The carbon dioxide < than HC0 - • 3 H K H' cs For aqueous solvents the thermodynamic selectivity is always let than 3.05, the selectivity of water. combined C0 [HS-]. co32- or the carbamate ion other K2co 3 solutions, my > [HC03l· After substitution, ST with K cs = This selectivity increases as more of the is in the bicarbonate form. If high levels of bicarbonate increase the selectivity, then high levels of be avoided. co32- should This means that the pK of the solution should be less than the pK for the second dissociation of carbonic acid, about 10.33 at room temperature. With this restriction, we can see that very strong alkaline solutions have very poor thermodynamic selectivity [ 1:93]. If the solvent is of an organic nature, then the formation of the carbamate ion is also possible. The thermodynamic selectivity will be highest when the carbamate ion is the most unstable; this occurs with tertiary amines [1:94]. In these tertiary amines and in low pK inorganic solutions, the chemically combined carbon dioxide will exist only as HC03. This will be the highest thermodynamic selectivity such that 71 1o-12 5 c- > c 2 r 0 "' ':il ~~ ~ I 10-D~ "' r.-i= 2=t' 5 V> N "' ...,_ 11~-1 ~ 5 2 10-1 1I I t ... l oi\- ! !I a I i rl ~ l ' :~-....-.--L-.....1..----..l.-.----l..--.-l--.-....._-___j 1) 2Q 40 60 so 100 Figure 30 Second Dissociation Constant of H s 2 Source: Astarita, Savage, and Basio, p. 93. 120 1.4l) 72 H = -- K H' cs [1:94]. Kinetic selectivity is based on the rates of reactions between the solvent and the gases. Solvents will have a kinetic selectivity towards the gas which is first to react with it. For a carbon dioxide ~nd hydrogen sulfide gas stream being absorbed into an amine solution, the reaction of the hydrogen sulfide and the basic solvent will be instantaneous due to a direct proton transfer. The carbon dioxide however, must go through several reactions before being absorbed in to the amine solution [8:119]. When carbon dioxide first dissolves in an aqueous solution, it first forms carbonic acid, H co • The carbonic acid slowly 2 3 + dissociates to form H and HC0 ions. The hydrogen then reacts with 3 the amine. Since the formation of this hydrogen and bicarbonate is slow, the overall absorption of C0 2 is slow [8:119]. A second co;--amine reaction is possible when labile hydrogen atoms are present on the amine. with primary or secondary amines. This carbamate formation occur only For this reaction, a carbon dioxide molecule may react directly with two amine molecules to form the carbamate complex. This reaction is faster than the bicarbonate reaction but is still slower than the direct proton transfer [8:119]. It is this difference between the amines which make tertiary amines more selective towards hydrogen sulfide. The tertiary amines have no labile hydrogen atoms and therefore, carbon dioxide absorption must take place via the slow bicarbonate route. A way of comparing the selectivities is by using the equation: 73 ~mol~~S)~~~~=-~~=:~~~~Tr~~~~~~~~~~~l~~~~~d gas (mol%C02 )fd gas - (mol%C02 )Treated gas/(mol%C0 2 )fd gas The selectivity of MDEA is 3.85, for MEA it is 0.89, and for DEA, it Sel = is 2.27 [6:45]. Selective removal of hydrogen sulfide over carbon dioxide can be achieved with physical solvents if the partial pressure of hydrogen sulfide is above 60 psi. Although this will remove the hydrogen sulfide, an amine process will also have to be used to make the gas reach the 0.25 grains/100 standard cubic foot specifications [1:375]. When the hydrogen sulfide is at a low partial pressure, and its level in the product gas must be extremely low, direct oxidation in the regenerating step appears best. In this process, the hydrogen sulfide reacts to be reduced chemically and then contacted with air. The solvent is recycled and the resulting sulfur is elemental [1:375]. Kinetically selective hydrogen sulfide removal is also possible with the use of aqueous diisopropanolamine. Figure 27 shows the range of partial pressures for which these processes are selected [1:376]. Chapter 8 THE DESIGN OF A GAS PURIFICATION PLANT USING MDEA FOR SELECTIVE H S REMOVAL 2 For the design section of this report, the feed gas selected is gas which is obtained from the off gas of a Beavan tail gas unit. This gas has already gone through a purification process but still has too much hydrogen sulfide to release to the atmosphere. Since this gas is waste gas, most of it is made up of nitrogen, carbon dioxide, hydrogen sulfide and water. Since only a small fraction is hydrogen sulfide, 3 percent, it was decided to selectively remove the hydrogen sulfide to reduce the utility cost. The solvent selected is N-methyl diethanolamine, MDEA. Gas treating with MDEA is relatively new in this country, and has not had much attention. It is a new process, and the data needed to build MDEA treating plants are not readily available. The cost of MDEA is three times more than for MEA or DEA, and this extra cost had no way to be offset. In turn, it was ignored until the rising cost of energy demanded that new processes be developed [6:49]. MDEA has many assets which make it a desirable solvent when selective removal of hydrogen sulfide is needed. The heats of reaction which hinder gas absorption and increase the regenerating cost are lower for MDEA than for DEA and MEA. The residual acid gas in the solvent is on the order of 4 times less for MDEA. The corrosion of MDEA on carbon steels is low, on the order of 0.04 74 75 mm/year. MDEA does not breakdown to form other compounds like DEA and MEA do. It also does not foam; this reduces the diameter of the absorber column. The comparative results for a MDEA plant versus a DEA plant can be seen in tables 3 and 4 [2:115-6]. Because MDEA purification plants have a large number of process variables, a computer program was developed. In this way, MDEA plants could be designed and optimized by entering and changing the operating parameters. The computer program follows the basic design routine for gas treating [4], but uses curve fits to get the dependent values. The program illustrates the simple layout for the plant; see figure 31. Computer graphics are used to extract information from the equilibrium diagram; this requires some operator input. See figure 32 for the original diagram and figure 33 for the computer graphic diagram. The following will give details of the design, and special notes will be added to explain how the computer interacts with the design. The boundary limit values are the first to be determined. These are already set and depend on such things as plant location, available utilities and the main plant process. The computer program has a set of default values for these parameters, but they can easily be changed to fit the plant features. Some values are fixed and cannot be changed except in the computer program itself. These values were chosen to comply with engineering principles which are already proven. These values will be noted when used. This design uses 12 wt. percent MDEA because that was the best ~ ' 76 Table 3 Comparitive Costs of the MDEA Process and a Total Gas Sweetening Process, (CHEMERY CASE) SNPA-DEI MDEA precess MOEA p•ocess case, Cast: 2 process Raw 9as • Co1'1"DOSI110n: CO:o (% Vo!, HzS (M~S'"JI'1" 3 j • Pressure !M""a) • Flow-rate (Nr-, 3 /h) 2 30 2 2 30 30 6 250.000 8 250.000 250,000 1.85 2 , .6 70 1.85 5 4(· 1 55 200 20 20 80 B Treareo gas cor.1posir.:m C02 ( ~t vol I H?S tm;S 1Nr'l:') 0 L P Stearn (T'h) E..e::tnc1ry (i(W•:) CnE>rruca' p•ooucts consumpt•on (Tty) , 0 Source: Blanc, Eluge, and Lallemand, p. 116. 0.1 77 Table 4 Comparitive Costs of the MDEA Process and a Total Gas Sweetening Process, (Fuel Gas Treatment Case) MDEA pri.X'..ess DE.A process HzS 30 20 30 CH 4 50 0.8 2C 50 0.6 U.OOO 14.000 H7S <0.05 co~ 20 Raw oas • cOmpDsitiOn (% Vel) co, • Pressu•e (Mpa) • Flow rate (Nm 3 't1) Treated £185 compositJO'l ("'c voi) Stea~ (T.·'h) 15 f:ie:::t'ICI!y !i<Wt":) "0 <0.01 0.5 21 70 4 7 LP. Chem·:::.al Products c:on~umptior. ty) rr Source: Blanc, Eluge, and Lallemand, p. 116. 78 ***** ******* H2S REMOVAL USING MDEA ABSORBER REGENERATOR {.,.l ;j~!l ~ lj I lUll. . REFLU1~ ORUr1 1'111'1!1 1 t!l'Iii!'llli!d l . -:·:• --~-~r-·= Ll - . :~Wr ~ tp~~'iln 1·---~----1 t-;. - - - ;:.-4:::.,_ . ___ .------1.I ~... --"' .,. REBOILER Figure 31 Computer Graphics Diagram of MDEA Gas Treating Plant Source: Generated by Michael P. Caldwel-l 79 l,ODO li - 0.. .II: 1.0 kmor m-3 MDEA Solution 100 10 01 001 Figure 2 --~~~l~!~l~!~·~ol--~-~~--~~ 0.01 O.l tO Mole Ra1io in Liquid ( H 2 S/MDEA} Figure 32 Equilibrium Diagram for H s and MDEA 2 Source: Jou, p. 7. 40 80 H2S EQUILIBRIUM WITH MDEA 10000 1000 p p 100 H 2 s K 10 1 p A .1 . 01 . 0 01 . . .· .• 1 5 8 F .. · 1 0 4: ...:- . . : : .1 1. ..................:::::: .... :::~, ... :::................ ··········1································1···············{ .001 .01 3.2 MOLE RATIO CH2S/MOEA) Figure 33 Computer Graphics Equilibrium Diagram for H s and MDEA 2 Source: Jou, p. 7. by Michael P. Caldwell Transferred to Apple Graphics 81 set of equilibrium data available [5]. is not the optimum concentration. It should be noted that this As was stated earlier·, this is a relative new process and compiled data is scarce. To perform an energy and material balance the temperature of the fluid leaving the bottom of the reboiler is the first value to be determined. It is a function of the pressure and the percentage of water in the liquid. regenerator side. The pressure is the summed pressure drops of the These include pressure drops due to the reflux drum, the condensor, the regenerator tower, the line drop, and the control valves. Raoult's Law can now be used to determine the vapor pressure of the water. The corresponding temperature can now be found in the steam tables; the computer program has this curve fit. Determining the amount of actual MDEA needed is the crucial part of the design. This will determine the amount of actual liquid flow, which in turn, sets the amount of utilities which must be used. This is a trial and error method which finds the MDEA needed and the corresponding temperature at the bottom of the absorber. Equilibrium diagrams are used to determine when the temperature, MDEA flow, aQd the partial pressure of the sour gas are matched. Once this MDEA flow is found, it is general practice to increase this value just to be on the safe side. The computer program has this value set at a 20 percent increase but this value can be changed while running the program. A heat balance around the absorber must be done to determine the temperature at the bottom of the tower. Then this temperature is checked on the equilibrium diagram to determine the amount of MDEA. The temperature now is changed with due to an updated flow rate. 82 Then this process is repeated until the system is balanced. The heats which must be considered are the heats of reaction, the heat of the exiting rich amine, the heat of the exiting clean gas, the heat of the entering lean amine, and the heat of the entering sour gas. The heats of reaction for carbon dioxide and hydrogen sulfide with MDEA are set in the program and can only be changed by changing the program. These values are set at 450 BTU/lb for hydrogen sulfide and MDEA, and 570 BTU/lb for carbon dioxide and MDEA. Note that these values are much lower than for MEA and DEA; this means that it takes less energy to strip the MDEA [2:115]. Heat capacities had to be determined for the exiting treated gas and are dependent on the temperature. The heat capacity for the absorbed acid gas is set at 0.915 BTU/lb [4] and can only be changed in the program. The heat capacities for the amine solutions were determined by a curve fit from know properties [7]. Assuming a value for MDEA flow, the temperature at the bottom of the absorber can be estimated with the heat balance. Now this MDEA flow is checked on the equilibrium diagram and a new MDEA flow is determined. In the computer program, the operator must move a cursor to the corresponding temperature. Once the values match, the flow rate is set and the temperature of rich amine is known. The rich/lean heat exchanger temperatures and duty can now be determined. The cold side approach temperature is one of the changeable parameters in the program with the default set at 35 °F. This is the difference between the entering rich amine and the exiting lean amine. The temperature difference between the entering and 83 exiting lean amine is now used with the flow rate and curve fitted heat capacity to determine the exchanger duty. Once this is found, the exiting rich amine temperature can be found; this is the temperature of rich amine to the regenerator tower. The duty can now be found for the trim cooler. Using the temperature of the cooling water and the set approach temperature, the temperature difference can be found. This is used along with the curve fitted heat capacity to determine the duty. Now that everything is known about the absorber, the diameter of the tower can be determined. The computer program will determine this diameter for a packed tower with set properties. This tower is to be filled with #2 Hy-Pac and have a pressure drop of 0.5 inches of. water/foot. The diameter is determined by using the standard curves for gas and liquid flow rates [1:402]. See figure 34. The computer uses a curve fit for the 0.5 inches of water/foot and a packing factor of 18. L The x-axis of the curve is: (PG GJ f~ and 1 2 G Fv· the y-axis is p~(p~=pG) where G is the gas rate, L is the liquid rate, PG is the gas density, p 1 is the liquid density, F is the packing factor, and Vis the kinematic viscosity. The viscosity was determined by a curve fit obtained from known properties [7]. The duties of the regenerator side can now be determined by doing heat balances. The amount of steam used by the boiler is set at 1 lb steam / 1 gal MDEA. changing the program. This cannot be changed except by Using the enthalpy of the steam at the pressure specified by the operator, the duty for the reboiler can be 84 10.0 6.0 Parame-ter of curvts is pr~ssurt drop in incnts of water/ioot. 1.5 4.0 2.0 1.0 """! Co 0~1':- u.O: Nol:o O.b 0.4 ~ 0.10 0.2 0.05 0.1 0.06 0.04 0.02 0.01 0.01 0.1 1.0 10.0 Figure 34 Generalized Pressure Drop Correlation for Dumped Packings Source: Astarita, Savage, and Basio, p. 402. determined. This enthalpy is determined from a curve fit. The heat of desorption is the same as the heat of reaction except this time this is heat that is needed to strip the MDEA. The heat leaving with the lean MDEA is determined using the temperatures for the entering rich ~IDEA and the exiting lean MDEA. The heat capacity was found using a curve fit. The heat leaving in the acid gas uses the temperature of the entering rich amine and the exiting temperature to the Claus plant. This temperature can be changed by the operator. The amount the water in the acid gas is determined by finding the partial pressure of the water at the Claus temperature, and taking the ratio of water pressure to total pressure times the moles of acid gas. This is converted to pounds of flow and multiplied times the difference in enthalpies of the exiting vapor and the entering liquid. The condenser duty can be found by summing the heats in and subtracting the heats out. Now the temperature at the top of the tower can be found using a trial and error method. The temperature is first estimated. The amount of energy used to condense the water is determined by subtracting the cooled acid gas. This is just the amount of acid gas times the heat capacity times the difference in temperatures. found with a curve fit. This heat capacity is This amount of energy used to condense the water can be used to find the amount of water that is condensed. Curve fits were used to determine the enthalpy of saturated steam at the estimated temperature and for the enthalpy of the condensed water. Dividing the energy by the difference in enthalpies gives the 86 amount of water condensed and used as reflux. Finding the partial pressure for water for this ratio of water should be the assumed temperature. If it is not the same, the process repeats. Now the information for the reboiler can be found by doing a mass and energy balance involving the flow in the reboiler and the utility steam. The temperature at the top of the reboiler can be found by Raoult's law. From the literature, very little MDEA is vaporized [7:10] so this overhead is assumed to be all steam. This mass flow rate is the amount of steam generated which is also the amount of steam condensed plus the amount of water sent to the Claus unit. The amount of flow to the reboiler is the amount of flow from the top of the reboiler plus the amount of flow from the bottom of the reboiler. Now using the amount of heat received from the utility steam and curve fitted values for enthalpies for the flows out of the reboiler, the enthalpy for the flow entering the reboiler can be found. The temperature for this enthalpy is found using a curve fit. The diameter of the regenerator tower can now be determined using the same method as that for the absorber except this time, the steam must also be counted as a gas. Please refer to appendix A for the flow diagram of a sample MDEA plant, figure 35. The listing for the computer program is in appendix B; for samples of the input and output of this program, see appendix C. REFERENCES 1. Astarita, Gianni, David Savage, and Attilio Bisio. Gas Treating With Chemical Solvents. New York: John Wiley and Sons, 1983. 2. Blanc, C., J. Elgue, F. Lallemand. "MDEA Process Selects H2s." Hydrocarbon Processing. 111-116. August 1981. 3. Brauer, H., andY. B. G. Varma. Air Pollution Control Equipment. 2nd ed. Heidelberg: Springer-Verlag, 1981. 4. Class Notes for Engineering 478B. University of Galifornia at Northridge, Professor Babayan. Spring Semester 1983. s. Jou, F. Y., and others. "The Solubility of H2S and CO?. in Aqueous Methyldiethanolamine Solutions." Paper presen'Eed at the AIChE National Meeting, Houston, April, 1981. 6. Pearce, R. L. "Hydrogen Sulfide Removal with Methyl Diethanolamine." Paper presented at the 57th Annual GPA Convention, New Orleans, ~arch 20-22, 1978. 7. The Pennwalt Co. Gas Sweetening". 8. Sigmund, P. W., K. F. Butwell, and A. J. Wussler. "HS Process Removes H S Selectively." Hydrocarbon Processing. 118-124. May 2 1981. 9. Strauss, Werner. Press, 1966. 10. "Product Information: Methydiethanolamine for Philadelphia: Organic Chemicals Division, 1980. Industrial Gas Cleaning. Wark, Kenneth, and Cecil Warner. Harper and Row, 1981. 87 London: Pergamon Air Pollution. New York: v . APPENDIX A 88 I .- -: - ., f rf~-~ ~ .:.~,y1 ~C lFC) .. - . - - - - ·- - - -· - - .. - .. - - :: ~c,; .' CONDENSOR ----, .... . '*' 1 1 )-1i -- I -- ; - - --- - - -- - · : D-~ . ,~--t)8+-, : i /8 ,I D-1 _ _ , -------- ' r· I I ,---, I ' I ~r- - - - - - _ _ _ _ _ _ • : ~,~-------- ' lI GAS I··- 1 : _J J. I : ~ ; I : ·~-I COOliNG '-tl IX r-::=- ~ t><1 ReGEN. H PUMP · l WATER v I 1, ~-: ~ t- : ' J:C 1 : . 1 ~ rc LR-f: 1·----->~ : i >- RESET I : . ?(I · l ir~--=-,I I .. - - .<--{;::l:J--~ lI k I - - - ·- - r----, -;(-.P:-f·-H-----.L.._:L{ rc. 1 i l COOLING .WATER I REGENERATOR LEMU RICH Ht/lT EXCHANGER RES[! :- --,Il • FILTER TRIM COOLER ABSO.R~F.R ACI D G.A3 TO CLAUS UlilT R Etl uX I' DRUM Y ~---1I @1 r·----~ I ' ~ : :1" L-------(_}----------~ L_ ctrJLb CO~DENSAT£ SHAM : ~~ ------ I -------------------- --------' Lf AN MDE A PUMP HICH MDEA PUMP REBOILER Figure 35 Flow Diagram for MDEA Gas Treating Plant Source: Drawn by Michael P. Caldwell CXl \0 "'c'.> .I APPENDIX B 1 2 GOTO 10 IF EO < 1E3 THEN EB =1 : RETURN 3 IF EO < 1E4 THEN EB = lEt RETURN 4 IF EO < 1E5 EB = 1E2 TH~N RETURN 5 IF EO < 1E6 THEN EB •"' 1E3 6 IF EO RETURN < 1E7 THEN EB = 1E4 RETURN 7 · IF E:O < 1E8 THEN t:B "" 1E5 RETURN 8 9 IF EO < lE9 THEN EB = lEG RETURN I~ EO ( 1E10 THtN EB ~.: 1E7 RETUnN 10 REM 0::·0 HOME INTRODUCHON VTAB <5) PRINT " THIS PROGRAM W:LLL HELP DE~HGN A H.2S RHJOVAL PLANT USING MDEA" PRINT "" 30 ~0 PRINT " THE PROGRAM WILL ASK THE OPERATOR FOR CERTAiN lNFORMATION, IT WILL ALSO ASK T~E OPERATOR TO GRA~HICALLY SELECT A VALUE FROM A HIGH-RESOLUTION FIGURE" PRINT "" PRINT "THIS WILL BE DONE USING TH£ RIGHT AND LEFT ARROWS" PRINT "" PRINT "PLEASE HIT ANY KEY TO CONTINUE" 50 GET X$ 50 HGR2 PRINT D$ == CHR$ (4) P~INT 70 8.0 D$;"BLOQD GET X$ IA = 2.91 IB = 732.58 IC = 21.81 ID = 38.54 IE IG 90 IH I I IJ = 0.02 = 0.01 = 51.40 = 110 = 16.'3 90 PIC,A~4000" 91 100 JS "' 64.7 IW IR Ml:. cu 110 120 130 140 150 160 17ill !80 = 92 3:5 ~ ... 2 74 PU = 27.7 TG 110 TEXT HOME VTAB (2) P~INT "THE FOLLOWING ARE DEFAULT VALL'ES" PRINT '"' IN\/ERSE PRINT "PLEASE NOTE UNITS" NORMAL PR!NT " " PRINT "A) INLET GAS TEMP'': HTAB (25> I=RINT II; PRINT " F'" PRINT "BJ INLET GAS PRESS"; HTAB !25i PRnCT IJ; PRINT " PSIA" PRINT "C> H2u; WAB (25) P~INT IA; PRINT " MOLES/HR" ... PRINT "0) N.-., <=. • )-;TAB <25) PRINT IB; PRINT MOLES/HR" PRJ NT "El H2S"; HTAB <25> PRINT rr. PRINT " MOLESiHR" PRINT "F} C02"; HTAB <25) PRINT ID: PRINT .. MDLES/HR" PRINT "G> CO"; HTAB (25) PRINT IE; PPINT .. MOLES/HR" PRINT "H) COS"; HTAB <25) PRINT IG; PRINT . MOLES/HR" PRINT "I l H20"; HTAB <2_5) PRINT IH; PRINT MOLES/HR" PRINT "J) COOLING WATER"; HTAB <25) PRINT IW; PRINT . F" PRINT "K> AVAILABLE STEAM"; HTAB <25> PRINT IS; PRINT PSIA" PRINT "Ll APP TEMP FOR HTX"; HTAB (25) PRINT IR; PRINT . F'" PRINT "Ml LOADING FACTOR"; HTAB <25> PRINT ML .. 190 ·-· 2ill0 210 220 230 . 240 250 .. 260 265 266 I PRINT "Nl TEMP TO CLAUS UNIT" ! HTAB <25) P~INT CU; PRINT F" PRINT "0) Pq£S'S . i!J CLAUS UNIT"; HTAB <25> PRINT PU; PRINT " PSIA" PRINT "Pl TE!IIP OF" n~EATED BAS"; II 257 258 HTAB 270 280 GET X$ HOME VIAB 290 (25) PRINT "TG; PRlNT " F" PRINT PRINT "TYPE TKE LEiTER TO BE CHPNGED OR <CR} I~"'" Xfi (5i = ''An THEN PRHH ''THIS IS THE INLET GAS TEi'1r'ERATURE" PRINT WHAT SHOULD II\IPUT I! !F xs = '·B'' \HEN PRINT "T!-<IS IS THE PRINT PRINT "\.IHAT SHOULD INPUT IJ IF X$ = ·~c" THEN PRINT "THIS !5 THE PRINT PRINT ''WHAT SHOULD INPUT I.:\ IF X$ = "D" THEN P~n;T "7HIS IS THE PRINT PRINT "WHAT SHOULD INPUT IB IF xs = "Eu THEN PRINT "THIS IS THE PRINT PRINT "WHAT SHOULD INPUT IC IF l($ = "F'l "!HEN PRINT TH IS IS THE PRINT PRINT "WHAT Si-i{)ULD INPUT ID IF X$ = uGu TI.!EN PRINT "THIS !S THE PRINT PRINT "WHAT SHOULD INPUT IE IF xs = UHU THE.N PRINT "THIS IS THE PRINT PRINT "WHAT SHOULD INPUT IG IF X$ = u I Tlo{EN PRINT "THIS IS THE PRINT PRINT "WHAT SHOULD INPUT IH PRPH 300 310 320 330 340 11 11 350 360 370 ZT BE tF') ., .. INLET H ~s PRESSURE BE (P51Rl"" HYDROGEN CONCENTRATION" IT BE iJ'I\OL/HR ) ?u t.jJTROGEN CONCENTRAl"10N" IT BE <MOLIHR ) ~~~ H2S CONCENTRATION'' IT BE (I'IQLIHR )?" C02 CONCENTRATION" ) ?lt H BE <MOL/HR co CONCENTRATION" IT BE <MOL/HR ) .,~ cos CONCENTRATION" H BE (I'IQL/HR >?" ~• H20 CDNCENTRAT!ON" IT BE <I'IOLIHR ) ?• 93 380 390 400 405 4~6 407 IF XS PRINT PRINT PRINT INPUT 410 420 430 PRINT PRINT PRiNT !NPUT IF X$ PRINT PRINT PRINT INPUT I"" XS PRI!'JT PRINT PRINT INPUT IF X$ PRINT PRINT PRINT INOUT IF X$ PRINT PRINT INPUT IF X$ PRINT PRINT PRINT INPUT IF X$ Go:o MA 450 465 470 "WHAT SHOULD IT BE <F>?" IR = "M" THEN "THIS IS THE LOADING FACTOR" "WHAT SHOULD IT BE?" ML = "N" THEN "THIS IS THE TEMP TO THE CLAUS L.:NIT" "WHAT SHOULD· IT BE?" CIJ = "0" THEN "THIS IS THE PRESS TO THE CLAUS UNIT" "WHAT SHOU'<.D IT BE?" PU = "P" THEN "THIS IS THE: TEMIJ OF THE TREATED GAS" "WHAT SHOULD IT BE"" TG = CHR$ 113J GOTO 430 110 2.016 28.i2113 34.08 t>"D 44.01 ME MG MH 28.011 TZ TM PA PB PC PD PE PG TlolEbi "WHAT SHOULD IT BE <PSIA >?" IS = "L" THEN "THIS IS THE APP TEI'IP FOR THE HT )(" MB ZP 450 "I(" "TI-'!S IS THE AVAILABLE STEAM PRESS" MC ~.tf! 440 "WHAT SHOU..D IT BE (F)?" IW IE X~ "' P~INT 408 ,. "J" THEN "THIS IS THE COOL!NG WATER TEMP" 60.075 18.015 119. 17 !A + IB + IC + ID + IE + IG + 14.7 TZ * .145 IA I T!¥1 * IH !J IB I TM * IJ IC I TM * IJ ID I TM * IJ IE I TM * !J IG I HI * IJ PH IH I TM * IJ POKE 34,0 HOME VTAB 15> PRINT "THESE ARE THE PARTIC!L PRESSURES IKPA> PRINT PRINT "H2.... •1PA PRINT "N2.... n;PB PRINT "H2S.... ";PC PRINT "C02.... ":PD PRINT "CO.... •;PE PRINT "COS.... •;PG PRINT "H20... •;PH REM FIGURE TOP OF ABSORBER, THIS IS JUST THE COOLING WATER + 16 F OR l2~ F, WHICH EVER IS LOWER.THIS IS NOT HOWEVER THE TEMP FRCITIIRF nF T~F TRF'QTFn RCI!';. 94 TT = IW + 16 IF TT > 125 THEN TT = 125 490 RE~ REFLUX DRUM PRESSURE IS RP 500 DP = 5 : ,XP 5 SP 3.5 480 510 LP •5 VP 10 DP + XP + SP + LP + VP + ZP RP PR = Rt' I . 98 NOW USE RAOULTS'S LAW TO DETERMINE HOW MUCH OF THIS IS WA7ER VAPOR.IE. PARTIAL P RESSURE EQUALS TOTAL PRESSURE TIMES MOLE P 520 REM 530 THE AMOUNT OF !I!DEA USED IS 1KMOL/W'3 SO LUTION WHICH IS 11.917WT% "'DEA AND IS 98 MOLE" WATER. REM DO 'lLGORITHM FOR PRESSURE TO DEw POIN-r FOR WATER ••• USE STEAM TABLES. .,..H!S \oi.AS D ONE WITH A POWER CURVE FIT WITH A~ HP-41CV . T~E RANGE WAS FROM 20.78 TO 6£.98 REM ~HE EQUATION IS y ~ AXAB WHERE RA2 IS 1 .000. A IS 115.59~7, AND B IS .2269 BT 115. 5959 * PR /' . 2269 BO 115.5959 * RP A .2269 RC .0025 E~CENT. 540 =50 560 555 570 REM RD 580 590 600 6!0 620 630 640 645 650 • 001 REM RESIDUAL ACiD GAS IN THE AMINE.FROM OP ERATORS MANUAL, FOR H2S IT IS .0025 MOL H2 5/MOL ~D£A AND FOR C02 !i IS .001 REM WILL NOW DO HEAT BALANCE AROUND ABSORBE Fl TO GET IDEA OF TEMPERATURE SO THAI EQUIL !BR!UM CAN BE RUN LATER. RE~ FIND SENSIBLE HEAT OF TREATED GAS. USE FORMULAS FOR CP. DT = <<<II+ TT> ! 21 ~ 459.671 I 180 CA = (13.505- 167.96 * DT .75 + 278.44. DT A - 1 - 134.01 * OT A - 1.5) I MA CB = <9. 3355 - 122. !56 * DT '' - 1. 5 + 256. 3B * DT - - 2- 196.08 * DT A - 31 I ~B CH = <34. 19- 43.868 * DT A .25 + 19.778 * D T A . 5 - .88407 * DTI I M~ CT = IA I ( IA + IB + IHI * CA + IB I ( IA + I B + IHI * CB + :H I CIA + IB + IHI * C~ REM CP AVERAGE IN BTU/LB R DQ = .73 * lD REM TREATED C02 QT = <IA * MA + IB * MB + DQ * MD + IE * ME + IG * MG + lH * MHI * CT * !TD - III RE~ THIS IS Q TREATED GAS AND IS MIN A- us 660 670 580 7QI0 710 REM THIS IS THE CP FOR ACID GAS AND IS ALSO FOR THE SALTS CONTAINED CS IS FOR SOUR IS ABOUT .915 BTUILB FROM CLASS NOTES. CS = .915 * !IA * MA + <ID- DO> *MDI REM MUST NOW GET CP FOR AMINE SOLUTION FROM EQUATION WHICH IS CP=.916+.0004•T !N DEGR E~S F. ASSUME CP IS • 92 AND REFINE LATER. HC = 450 HD = 577 REM HEATS OF REACTION HR = <HC * lC * MC + HD * <ID - DQI * MDl REM HE.ATS OF REACTION ADDES TO SYSTEM 95 p ' 745 750 753 NDW GET PURE AI'IINE ROW ~T-E. F-1-RST--A SSUME IT IS .2 MOLES ACID GAS/MOLE MDEA OR 5 !•IDEA/ACID GAS PM = 5 IF F9 < > 1 GOTO 739 MN <IC + RCl I X~ MO = _MN * <IC -+ '!D - DQl I IC PM = MD J <IC + ID - DQl PM% = PM * 100 AL =PM* IIC + ID- DQl * 119.17 I .12 REM THIS IS THE AMINE FLOW RATE 1N L BS. T0 = TB REM BEG:N FIGURING ABSORBER BASE TEMP CP = .92 7biZI TB = ( 720 730 735 736 737 738 733 740 REM REM 751 752 763 FIRST 01R iCS + ~,;._ 763 '77~ * QT} + CS * * II + <AL CP * TT)) CPl IF ;:-a = l GOTO 1570 IF TB ) ~7 - . 1 AND TB ( T7 CP = .916 + .01Z104 * TB T7 = TB GOTO 7£E T~Y + • 1 GOTO 766 76~ IF TB ( T0 + .5 AND TB ) T0 - .5 THEN F8 1 q:_ AL " ~L PM PM ML * GQTCJ 7E.0 IF F? = : GOTO 780 PR I\, 7" ,, PRIN~ "HIT ANY KEY TO CONTINUE"; GET II U DR: t... - 7.30 PO~E 34,~ HOME 'JT,:OB 15) '84 IF F9 = l GOTO 790 785 " t.DW BEGIN THE EQUILIBRIUM CHECK FOR -HE H2S AND C02. '' PR:NT PRIN7 730 PR:~.;- PRIN- " THE ~EMPERA-URE AT THE BOTTOM OF THE ABSORBER HAS BEEN ESTIMATED USING "; PRINT PM" I DR:rc " 100; MOLE MDEA/MOL-E ACID GAS." ;::JR;P\1- 739 8ill0 -8% = TB + .5 PRB:i "USE THE ARROWS TO MOVE THE CURSOR :o -HE TEMPERATURE THAT WAS ESTIMATED, THIS -~MPERATURE IS "; F;_As>- 81IZI "THE CURSOR IS DA!"PED AND WILL BECOME MORE RESOLVED AS YOU CENTER IN ON THE EXACT POINT" ;JR:;:~,;-:- PR~NT PRINT " wHEN TI-'E CORRECT TEMPERATURE HAS BEE N CHOSEN, HIT THE <ESC>" 820 CR!'\i- INV£RSE PRINT "NOW, '"'IT ANY KEY TO CONTINUE"; NORI"H'-. 830 840 GET a PRIN'i HGR2 I 96 85tll aet21 870 880 890 '300 910 '320 930 '3"'0 '350 960 '370 D~ CHR$ (4) ::: PRINT DS; "BLOAD EH2S,AS400~" YC ::: '33.857 - 9.4304 * LOG <PC I ML> HCOLOR= 3 X = 45 HPt.OT X,YC NC = 12 NC = NC - 4 F1 F2 IF 0 =0 <NC = 1 ) THEN GOTO '350 NC = 1 GET K'5 1-iCOLOR= 0 HPLOT X,YC IF (K$ = CHRS (21>) GOTO 10..,0 lF (K$ = CHRS U3)) GOTO 1.0S0 rr. (K$ = CHR$ (c:7 > > GOTO 1140 '380 '3'30 1000 GOTO '350 1010 X !~20 -~ 1030 12••0 X --- 277 Fl = 1 .. r- -- X + NC 277> ( {X I HEN GOTO 1040 HCOLOR= 3 r1:.:1LQT X, YC 11?150 GOTQ 1120 1060 F2 = 1 Y. = X - NC 1 070 ~080 IF ::.0'30 11il'l0 X = 44 HCOLOR=: 3 HPLOT X,YC <X ) 44) GOTO 1100 1110 GOTO 11--20 1120 ll30 IF tF1 = F2l THSN GOTO 910 C->OTO '350 11£;0 HCOLOR= 3 116G HPLOT X,YC TO X,158 HP~OT X,YC TO 44,YC TEXT HOME VTAB (5) XC= .0002192 * EXP <.03449 MN ~ <!C + RCi I XC REM MOLES MDSA NEEDED MD = <ID + RD) I MN 1540 F9 1150 1160 1165 = * X> 1 Go;:J 736 1570 1580 1590 16~0 REM WILL NOW DO THE RICH/LEAN HEAT EXCHANGE R DUTIES TE TB + IR CP = .916 + .~004 * <BT + TE) I 2 AA = AL + !C * MC + <ID - DQ} * ~D RL = AA * CP * \BT - TEl CP = .91G + .0004 * <TE +TTl I 2 TC = AL * CP * <~E - TTl PQi-".E 34, 0 HOME VT~-' 1510 PRH-JT (5) " NOW BEGIN THE ABSORBER SIZING. THIS WILL BE A PACKED COLUMN USING •2 METAL HY-DAK. THIS PACKING HAS A PACKING FACTOR OF 18." 97 1620 PRINT "" PRINT " THE GENERAL! ZED PRESSU~E DROP FOR A PACKED COLUMN WILL BE DETE~INED USING SEVERAL CURVE ~="ITS. THE DU>COfllE OF THIS .wlLL BE UiE ~.R DlPillETER-" PRINT "" PRINT "HIT ANY KEY TO CONTINUE. u f GET X. 1630 1635 1640 !650 1660 167121 1680 REM ~!GURE EVERYTHING TO GET X AXIS COOROIN ATE. LB = CIA* MA + IB * MB + IC * ~ • ID *MD + IE * ME + IG * MG + IH * MHJ FM = LB I !IA + IB + lC + ID + 1E + !G + lHl REM DF = II REM PL = REM XA = RE~ MW OF GAS <FM I 379.5) * !IJ I 14.696> * (520 I ( + 460l) DENSITY OF FEED GAS 63.227 DENSITY OF LIQUID AL / U3 * <DF / PL> 5 NOW DO CORREL~TIDN FOR PRESSJRE DROPS @ A • 0.5 1690 1700 1710 1720 1730 1740 1741 1745 YA = .4331 - .3681 * LQG CXAI REM DQ CORRELATION FOR VISCOSITY IN CENTIST OkES VS = 6-:iE.. 522 GS = REM ~R = REM DM = REM 01- := * C<TB + TT> I 2l " - L 3987 YA / \ 1 8 * VS ·'- . 1 l * DF * ( PL - Dl=) THIS !S G ~ 2 LB I * <3600 GS- .5) AREA FOR NON-FOAMING OF <AR * 4 / -~ 3.14J_6J WHIC~ MDEA IS. .5 THIS IS DIAMETER * 100 DM HOM~ V''<B (5> PRINT "TOWER DIAMETER !S ";01: PRINT ,, FT 11 P~INT PRINT "WILL NOW DO REGENERATOR BALANCE" !='<!NT 1900 1810 182~ 1830 :840 1850 PRINT " HIT ANY KEY TO CONTINUE" GET X$ REM NOW BEGIN REGENERATOR SECTION RM = AL + CIC * MC + (!D DO> .. 1'10) REM RICH I'!DEA TR = RL I <RM * (. '316 + .0004 * <BT + TR) I 2> + < IC MC + < !D - DQl * 1"0' * • 915) IF TR ( Tl * + • 1 AND T~ > T1 OOTO !850 Tl = TR - .. GOTO 1820 TR = TR + TB RE~ THIS IS THE TEMPERATURE TO TH~ TOP OF T HE REGENERATOR 1860 HF = 1l74.5776 * IS~- .0610 1890 AVAILABLE STEAM QR = RM I 8.4 * HF ClL = AL * (.916 + .0004 * <BT + TR) I 2) * ( BT - TRl QA = <IC * MC + <ID - DQl *MD> * .915 • <TR 1900 REM REM 1870 1880 - CUl THE FOLLOWING IS A TEMP TO PRESSURE CUR THIS IS FOR T~£ ~ANSE 6 0-100 DEGREES F AND IS ONLY GOOD IN TM!S R ANGE.THESE ARE COMMON TEMPS ~QR CLAUS UNIT S HOWEVER' Vl = .0331 * EXP <CU * .03411 REM CU 15 TEMP TO C~AUS UNIT V2=Vl I !PU-Vll * !IC+ liD-OOlJ VE F:T USING EXP. 191~ 1920 P~M THTS rq MOl FS ~ H2n VAPOP 98 1925 1'326 1927 1'?30 31.724 + .9977 * cu .4330 * TR =- H2 Hl = 106!.72 + REM HV AND HG QW = V2 * MH * FOR H20 CHl - H2) 1945 = QR - HR TS = 207 1350 INITIAL GUESS P.EM FG = <IC * MC + !1D- DQ) 19'+0 QC QL QA - QW ~ CU> 1953 H3 REM 1954 H4 REM 1360 1970 1980 1390 2000 2010 UW PO = HV AT TOP OF I = H5 REM 2100 TS CU * * CXP + PU + 34J TS 4. !838 A IF PP < PQ + .1 AND PP r PQ- .1 GOTO 2050 IF PP { PQ THEN TS = TS - 1. GOTO 1950 IF PP > PQ THEN TS + 1. C>OTO 1350 2060 .25 » ITS - H4)) I MH IUW + V2 + IC + ID - DQ) 34J I 9 * MD> STRIPPE~ =- 31.724 + .3977 HF Ai CLAUS UNIT = ((QC- FG> I tH3- = 'UW + V2) <<XP + ~U> * PQ = 2.6348E- TS 2050 * * 1069.822 + .3804 ~ = 954.98- .667! * IS H=-C AVAILABLE STEAM SN = Q~ REM LE~ H5 I STEAM NEEDED PER HOUR H5 = 1073.78 + .362 REM HG AT * BO TOP OF REB'JILER * 21!0 H7 = - 34.234 + !.0112 2120 REM f.JF AT BCT..-Ot!f OF REBOILER TH = IIUW + V2) • M4 * H6 + RL BT * H7- QR) I <UW + V2 + AL) REM = ENTHALPY 33.32~5 + TE~P I~TU 2130 Bl 3500 REM POKE 34,0 HG E VT~B RE~ANING .9918 * TH REBOILER <5> 3510 PRINT " NOW BEGIN THE REGENERATO~ SIZING. THIS WILL BE A PACkED COLUMN USING +02 METAL HV-O~K. THIS PACK.ING HAS n 3620 PRINT PRINT " THE GENERALIZED PRESSURE DROP FOR A PACKED COLUMN WI~L BE DETERMINED USING SEVERAL CURVE F!TS. THE OUTCOME OF THIS WILL BE THE TOWER DIAMETER. " PRINT "" PRINT "HIT ANY KEY TO CONTINUE."; GET X$ REM FIGURE EVERYTHING TO GET X AXIS COORD! NATE. JL = <IC * MC + <ID- DQ) * MD + (UW + V2> * MH> PACKING FACTOR OF !8." 3530 3540 365~ JF REM 3550 JD 3670 JP = = JL I ( IC + ID •· DGI + UW + V2l MW OF GAS <JF I 379.5) • <PU I 14.696) < <TS + BT> I 2> + 460> l REM REM DENS!TY OF FEED GAS = 63.227 DENSITY OF LTQUID * <520 I ( 3&80 JX = <AL • .5 l&90 ~1'1 <UW + V2l * MHl I JL ~00-GGAA£-LATION * <JD I JP) FOR PR.ESS:JRE DROPS @ 0.5 3700 37!0 3720 3730 3740 3750 3760 3770 JY = .4331 - .3681 *LOG <JX) REM DO CORRELATION FOR VISCOSITY IN CENTIS TOKES JV: &9&.522 * <<BT. TSl I 21 A - 1.3387 JG ;_ JY I (18 * JV A • 1) * JD * (JO - JDl ~EM THIS IS G A 2 :~ = JL I 13600 * JG ~ .5l REM AREA FOR NON-FOAMING OF WHICH MDEA IS . 4 I 3. 14l&l JM = (JA THIS IS DIAMETER REM Q')(. = JM * 100 02 = 0':4 / 100 HOME VTAB ,.. .5 (5) ;02; PR:NT "TOWER DIAMETER IS PRINT " FT" iJRINT PRINT " HIT ANY KEY TO CONTINUE" GET X$ HOME VTAB (2) PRINT "THESE ARE THE PROGRAM I.'ALUES" PRINT "" PRlNT "ABSORBER TOP"; HTAB 125> TT')(. = TT + .5 PRINT TT')(.; IJ 5000 ~010 PR1'J..,. " F" 5020 PRINT "ABSORBER BOTTOM"; HTAB 1251 TB')(. = "7"B + .5 PRINT TBY.; ~RIN!" 5030 II F" PRINT "ABSORBER DIAMETER"; HTAB '25> C')(. OA = OM * = O'X I 100 100 PRINT OA; P"<:NT " FT" 5040 5050 5060 5070 PRINT "AMINE SOLUTION FLOW": HTAB <25l EO = AL GOSUB 2 AL1- = AL I EB PRINT AL1- * EB; PRINT " LBSIHR" PRINT "PERCENT OF C02 PASSED"; HTAB (25> PRINT "73 7-" P~ItH "MDEA CONCENTRATION"; HTAB (251 MP = 1 I PM 01- = MP * 1000 DB = 0')(. I 1000 PRINT OB; PRINT " ACID/MDEA" PRINT "TRIM COOLER DUTY"; HTAB <25) EO = TC GOSUB 2 O'X = TC I EB DC = 0')(. I 100 PRINT DC; PRINT " MM BTUIHR" A 100 S080 PRINT "RICH/LEAN DUTY"; HTAB <25> EO ~ RL 0~ = RL I EB OD ~ 0" I 100 PRINT OD; 5090 PRINT " f'IM BTU/f-iR" PFUNl "TEMP LEAN OUT"; HTAB <25l TE% = TE + .5 PRINT TE~; PRINT " F" 5112'0 PRINT "1"EI"'P RICH <25> TR,;"' TR + .5 OUT"; HTAB 5110 ::i~INT TR"; PRINT " F" ;:JRINT "C:ONDENSOR DUTY"; HTAB <25) EO ::: QC 0~ = QC I EB G!O: = 0':4 / 100 ~"RJ.NT OE; i="•RINT " 5120 ~~M BTUIHR" PRINT "REBOILER DUTY"; i-TAB i.c;5) EO QR C:i. = OR / EB OF = 0" I 100 PJ:tlNT OF; PRINT " r1M BTU/HR" 5122 PRINT "REBO!LER TEMP AT TOP"; HTi~B <.::5l 0" "' BO + • 5 ;::RINT O:X.; 5124 PRINT " F" PRINT "REBOILER TEMP IN"; HTAB 0" 5130 C25i = Bl ·~<- • 5 PRINT O:X.; PRINT " F" PRINT "STEAM NEEDED"; HTAB (25> EO '-~ SN GOSUB 2 = SN SN" I PR!NT SN" 5140 EB * EB; PRINT " LBS/HR" PRINT "REGEN TOP"; HTAB (25> = TS TS;( + .5 PRINT TS~; PRINT " F" 5145 PRINT "REGEN BOTTOM»; HTAB (25) = BT BT')(. 5150 + .5 PRINT BT~; PRINT " F" PRINT "REGENERATOR DIAMETER"; HTA8 <25) 0~ = .JM 0"' OG ::: •· 100 I 100 PRINT OG; PRINT " I=T" APPENDIX C THE FOLLOWING ARE DEFAULT VALUES PLEASE NOTE UNITS A) INLET GAS lEMP B> INLET GAS PRESS C) H2 D) N2 E:.) H2S F) C02 G) CO H> COS I> H20 J) COOLING WATER K) AVAILABLE STEAM L) APP TEMP FOR HTX M> LOADING FACTOR N) TE~P TO CLAUS UNIT 0) PRESS TO CLAUS UNIT P) TEMP OF TREATED GAS ~YPE 110 F 16.'3 PSlA 2.'31 MOLES/HR 732. 58 MOLES/H!~ 2i. 81 MOLES/HR 38.54 MOLES/HR .02 MOLES/HR . 01 MOLES/HR 6i.4 MOLES/HR 92 F 64.7 PSIA 35 F 1. 2 74 F 27.7 PSIA 11~ F THE LETTER TO BE CHANGED OR 101 <CR> 102 THESE ARE THE PROGRAM VALUES ABSORBER TOP ABSORBER BOTTOM ABSORBER DIAMETER AMINE SOLUTION FLOW PERCENT OF C02 PASSED MDEA CONCENTRATION TRIM COOLER DUTY R ICH/LEAr.J DUTY T£MP LEAN OUT TEtf1P RICH OUT Cm·mENSOR DUTY Rt:BOILEI-~ DUTY REBOILER TEMP AT TOP i~~~E10 IL.ER TEMP ll\l s·:t-::AM NEEDED Ri:-~GEN TOP HEf:;EN ·;;mTTOM R~GENERATOR DIA~ETER 108 F 117 F 4.02 FT 143~tlllll LBS/HR 73 -;<. .222 ACID/MDEA G. lb MM BTU/HI~ 16. ::. MM B1 U/1-H~ 152 F 231 F 10.17 MM BTU/HR 15.72 MM BTU.tHR 265 F 17200 215 F 266 F LBS/Hi~ 2. 88 Fl ~ .
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