Solvent Extraction Liquid-Liquid Extraction Prepared by Dr.Nagwa El- mansy Cairo University Chemical Engineering Department Liquid-Liquid Extraction “The separation of the components of a liquid mixture by treatment with a solvent in which one or more of the desired components is preferentially soluble is known as liquid–liquid extraction.” In this operation, it is essential that the liquidmixture feed and solvent are at least partially miscible ( some time completely immiscible). Extraction 1. Extraction is an operation in which constituents of the liquid mixture are separated by using an insoluble liquid solvent Distillation 1. Constituents of the liquid mixture are separated by using thermal energy 2. Extraction utilizes the differences in solubilties of the components to effect separation 2. Utilizes the differences in vapor pressures of the components to effect separation 3. Selectivity is used as a measure of degree of separation 3. Relative volatility is used as a measure of degree of separation 4. A new insoluble liquid phase is created by addition of solvent to the original mixture 4. A new phase is created by addition of heat 5. Phases are hard to mix and harder to separate 5. Mixing and separation of phases is easy and rapid Extraction Distillation 6. Extraction does not give pure product and needs further processing 6. Gives almost pure products 7. Offers more flexibility in choice of operating conditions 7. Less flexibility in choice of operating conditions 8. Requires mechanical energy for mixing and separation 8. Requires thermal energy 9. Does not need heating and cooling 9. Requires heating and cooling 10. Often a secondary choice for separation of components of liquid mixture 10. Usually the primary choice for separation of components of liquid mixture The mechanism of extraction involves two steps which are:First Step:Contacting Step:Bringing the feed mixture and the solvent into intimat contact. Second Step:Separation Step:Separation of the resulting two phases. It is done by:- distillation, evaporation, Crystallization. It is possible to combine first two stages into a single piece of equipment such as a column which is then operated continuously. Such an operation is known as differential contacting. Liquid–liquid extraction is also carried out in stagewise equipment, the prime example being a mixer– settler unit in which the main features are the mixing of the two liquid phases by agitation, followed by settling in a separate vessel by gravity. Applications of liquid-liquid extraction in petroleum Field:1- Removal of aromatics from Kerosene (Edeleanu Process) , It is one of the most important processes for refining Kerosene which improves the smoke point of Kerosene and Jet fuels by removing the aromatics content by Liquid sulphur dioxide.(Smoke point is the temperature at which it gives off smoke). 2-Removal of asphaltenes from lube oil which cause friction by using propane as a solvent. 3-Dewaxing of lube oil by using propane as a solvent. 4-Improving kinematic viscosity index (KVI) of lube oil By removing aromatics and naphthens using phenol or furfural. [KVI measures the variation of viscosity with temperature. Paraffin has high (KVI) so presence of aromatics decreases(KVI)]. ( KV = µ/ρ = --- cm2/sec = stock ) Separation Factor (Selectivity) :- β β = yA yB xA xB y A = m ole fraction of A in extract. x A = m ole fraction of A in raffinate. y B = m ole fraction of B in extract. x B = m ole fraction of B in raffinate. β = It is a measure of effectiveness of separation. The solvent is said to be effective or selective when β exceeds unity. β= yA yB xA xB β = 1 yA xA > 1 (solvent is selective) yB xB (no separation) The higher the selectivity the higher the separation. Choice of solvent:1- High selectivity ( high β → high yA/xA and low yB/xB) 2-Easy to be recovered. 3-Density:- The higher the density difference between Extract and raffinate the easier the segregation of both Phases. 4-Surface tension:- The larger the surface tension the higher the power needed to mix the two liquids with the solvent but the easier the segregation. 5- Other criteria:- non-corrosive , chemically stable , non-toxic , low viscosity , low vapor pressure. Equilibrium Relations:In liquid-liquid extraction we have three component system:1- solute (A)→liquid. 2- Inert (B)→liquid. 3- Solvent (S)→liquid. Representing the three component system on right angle triangle as follows :- Types of phase diagram = Solubility diagram = Ternary diagram. Two main diagram :A- Closed Ternary System:- B- Open Ternary system:- Effect of Temperature on Solubility Diagram:- Addition of two streams:P + Q = R P x AP + Q x AQ = R x AR P x BP + Q x BQ = R x BR P x SP + Q x SQ = R x SR B y using lever arm principle, the length and am ounts are calculated as follow s:PR RQ = Q P = a b Subtraction of two streams:N -M = K N x AN - M x AM = K x AK N x BN - M x BM = K x BK N x SN - M x SM = K x SK B y using lever arm principle, the length and am ounts are calculated as follow s:NK MK = M N = b' a' + b' Methods of Operation(Types of contact):(1) Simple Single Stage:- W here:V 0 = am ount of solvent (S ) y 0A = 0 , for pure solvent. or has som e solute traces (A + S ) y 0A m ole fraction of solvent = A A+S L 0 = Feed am ount = M eal = (A + B ) x 0 = m ole fraction of m eal. x0A A , A+B x 0B B A+B B ut if feed has traces of solvent x0A x 0S A A+B+S S A+B+S , x 0B B A+B+S M aterial B alance on S ingle S tage:O M B :- V 0 + L 0 = V1 + L 1 = M C M B :- V 0 y 0 + L 0 x 0 = V1 y 1 + L 1 x 1 = M x M y0 , x0 , x M and y 1 , x 1 , x M lies on a straight line. lies on a straigh t line. x M is the point of intersection betw een the tw o straight lines. T o draw this single stage w hich lies bet w een x 1 and y 1 trial and error procedures m ust be done to obtain the m ost convenient tie line w hich go through x M . T o obtain the flow rates (am ounts) apply lever arm principle as follow s:- y0M L0 = x 0M a = V0 L0 b L0 = L 0 + V0 y0M = M y0x 0 a = a+ b get a & b A lso:y1M = x 1M L1 L1 d = V1 L 1 + V1 get L 1 & V1 L1 M c = y1M x 1M = d d+ c (2) Multi-stage cross current contact:- M aterial B alan ce o n first S tag e:O M B :C M B :- V 0 + L 0 = V1 + L 1 = M V 0 y 0 + L 0 x 0 = V1 y 1 + L 1 x 1 = M x M 1 y 0 , x 0 , x M1 lies o n a straig h t lin e. & y 1 , x 1 , x M 1 lies o n a s traig h t lin e. x M 1 is the point of intersection betw een the tw o straight lines. T o draw this single stage w hich lies betw een x 1 and y 1 trial and error procedures m ust be done to obtain the m ost convenient tieline w h ich go through x M 1 .T o obtain the flow rate s (am ounts V1 , L 1 ) apply lever arm principle M aterial B alance on second S tage:O M B :- V0 + L 1 = V 2 + L 2 = M C M B :- V0 y 0 + L 1x 1 = V 2 y 2 + L 2 x 2 = M x M 2 y0 , x1, x M2 lies on a straight line. & y 1 , x 1 , x M 2 lies on a straight line. x M 2 is the point of intersection betw een the tw o straight lines.T o draw this single stage w hich lies betw een x 2 and y 2 trial and error procedures m ust be done to obtain the m ost conven ient tieline w hich go through x M 2 . T o obtain the flow rates (am ounts V 2 , L 2 ) apply lever arm principle (3) Multi-stage counter current contact:- M aterial B alance on B attery :O M B :- V n+1 + L 0 = V1 + L n = M C M B :- V n+1 y n+1 + L 0 x 0 = V1 y 1 + L n x n = M x M y n+1 , x 0 , x M lies on a straight line. & y 1 , x n , x M lies on a straight line. x M is the point of intersection betw een the tw o straight lines. T o obtain the flow rates (am ounts V1 , L n ) apply lever arm principle O perating conditions on the B attery:V n + 1 + L 0 = V1 + L n = M V n + 1 - L n V1 - L 0 = R A lso V n + 1 y n + 1 - L n x n = V1 y 1 - L 0 x 0 = R y n+1 , x n , R lies on a straight lin e. & y 1 , x 0 , R lies on a straight line. R is the operating polar , it is the po int of intersection betw een the tw o operating lines . T he num ber of stages is calculated by us ing the m aterial balance and the oper ating equations. T here are tw o m ethods for calculating th e num ber of theoretical stages. Continuous contact(packed or spray columns) in liquid-liquid extraction:In continuous contact using packed column, one of the phases is dispersed into the other phase and allowed to flow counter currently past the other phase(either upwards or down-wards). Separation of the phases is not accomplished until the outlets are reached. Since contacting and separation do not take place at a number of discrete stages, equilibrium conditions are never reached with this type of equipment. The effectiveness of a continuous contact tower, may be expressed as:- Height of packing = (number of stages) x (height equivalent to theoretical stage). H = n x HETP Where, HETP :- It’s the height of packing make the same separation of an ideal stage i.e two stream leaving are in equilibrium. No. of stages is calculated by the same methods of stage-wise contact Performance of a given number of stages:In many practical problems, the extraction equipment with known number of stages is already available and It’s required to find out the composition of the extract and raffinate streams obtained when using a certain (S/F) ratio or to find out the composition of extract(y1) or raffinate (xn). A- When(S/F) ratio is known, the products compositions are calculated as follows:No.of stages = √ , (S/F) = √ , xn = ? , y1 = ? 1- Locate M according to the given (S/F). 2- Assume xn on raffinate locus. 3-Extend xnM to obtain y1 on the extract locus. 4- Obtain R at the intersection of x0y1 , xnyn+1 and proceed to obtain number of theoretical stages. 5- If the no. of stages founds corresponds to the specified no., the assumption of xn is correct and correspond to this composition (xn). If → n calculated > or < n given , a new xn is assumed. 6-The same procedure is repeated until the assumed xn yield the specified no. of stages. 7- y1 is obtained by connecting xnM and extend to cut extract locus at y1. B-When the composition of the product raffinate stream is known, the problem will be to calculate the amount of solvent and the corresponding extract composition. Given:- xn = √ , no. of stages = n = √ , (S/F) = ? , y1 = ? , yn+1= √. • The trials procedure goes along the same line of material balance (position of point M). • The number of stages obtained is plotted against (S/F) • The required amount of solvent for the given no. of stage is obtained from the curve. • The correct M point is obtained . • Connect xn with M then extend to cut the extract locus at y1. Minimum solvent requirements:As the (S/F) ratio decreases:1- Number of stages increases. 2-y1 increases to y1’ and y1” . 3- M moves from M’ and M”. 4- R moves from R’ and R’’ i.e slopes of M.B lines range from -ve to ∞ to +ve. 5- For ∞ no. of stages , same minimum solvent requirements and maximum extract conditions. (S/F) min → ∞ no. of stages →y1 max When tie line (xi , yi) coincide with operating line (xi ,yi+1) With R {pinch occur when extension of tie line passes Through x0 R}. The conditions of minimum solvent requirements may be plotted on x-y diagram, the coincidence of a tie line and a material balance line on polar plot ,meaning that yi = yi+1 →the operating line and equilibrium curve having a common point. As S/F is reduced the operating curve moves from position(1) to (2) and(3) getting nearer to the equilibrium curve until it cuts it or touches it (position(3)) which corresponds to minimum solvent requirements and maximum extract composition(y1max) as shown in the following Figure. Optimum (S/F) ratio:When designing a new extraction battery the number of stages and (S/F) ratio are unknown. The optimum conditions of no. of stages and (S/F) ratio is determined as (S/F) increases, no. of stages decreases , but capacity of equipment to handle the increasing amount of solvent increases. As (S/F) increases the solution become more dilute which increase the cost of solvent removal unit. Intermediate Feed:In many cases mixtures consisting of same components but having different compositions are produced from various parts of a plant and have to be separated by solvent extraction to give the same terminal stream compositions. Three alternatives may be used:1- Each mixture is extracted in a separate apparatus. 2- All mixtures are put to gather and then extracted in one and the same apparatus. 3-Each feed is introduced at the proper stages of one and the same extraction equipment. The last solution is the most economic and corresponds to lower number of stages. The feed stream richer in solute is introduced at stage(1) while the other feed which contains less amount of solute is introduced at later stages so that the composition of each feed is closest to the composition of the raffinate stream to which it is added. O M B on the B attery:1- L 0 + L F + V n+ 1 = V1 + L n = M L0 + LF = LT x 0 , x F , x T lies on a str. line. L T + V n+ 1 = V1 + L n = M L T x T + V n+ 1 y n+ 1 = V1 y 1 + L n x n = M x M T o get the am ounts:- V n+ 1 L0 + LF = V n+ 1 LT = xT xM y n+ 1 x M 2- C onsider R is the overall operating p olar:V n + 1 - L n + L F = V1 - L 0 R + LF = R ' R , x F ,R ' A lso V n + 1 - L n = V1 - (L 0 L F ) R = Vn+1 - L n R , y n+1 , x n R = V1 - ( L 0 + L F ) R = V1 - L T R , y 1 , x T R = V f+ 1 - ( L f + L F ) R = V f+ 1 - L R , y f+ 1 , x 3 C onsider R ' is the operating polar of the first section:R ' = V1 - L 0 R ' , y1 , x 0 = V f+1 - L f R ' , y f+1 , x f T he line connecting x F w ith S cuts the ex traction locus at x f T he line connecting x f w ith R ' cuts the extraction locus at y f+1 L = Lf + LF x , xf , xF extending R y f+1 line to cut x f x F at point x Extract with reflux:The maximum composition of extract product from Countercurrent multi-stage(y1max) occurs when the (S/F)min is used. This maximum composition at best situation at the end of the tie line passing through feed point, and even in that case an ∞ no. of stages is required . In practice it is always desirable to have an extract as rich as possible in the solute, richer than the composition of a layer in-equilibrium with the liquid feed. This could be possible by using “Enriching with reflux” or “Extract reflux” . Which means:y 1 with reflux > y 1 max Although extract reflux enrich the extract product it requires using large amount of Solvent/unit quantity of Feed. The use of reflux is not always possible, it depends on physical equilibrium relation governing the solubility of The system at hand(limitation). For systems having a phase diagram of type(I), the length of tie lines get shorter as the composition of the extract phases get richer in solute. Which means that the effluent compositions are closer to one another, which makes the separation of the two phases difficult. This limitation is not present in type(II). Graphical Representation of extract with reflux:Assumption concerning the behavior of the solvent removal unit:1- Nothing of the raffinate component (B) entering unit, Leaves with the separated solvent stream V, all (B) goes to L0 and D. Accordingly (V) is a mixture of (S+A) and its composition (y) on the hypotenuse. 2-(L0 + D ) stream from (SRU) is saturated with solvent and lies on raffinate stream (x0 = xD lies on raffinate). 3- The feed stream ( xf ) lies on raffinate locus. (note:- These simplifications are not essential and the extract problem can be solved without them). The ratio of reflux L0 to final extract product D is termed the reflux ratio. The higher the ratio the higher the enrichment of the extract with a given number of stages. • If a feed stream LF with composition xF is to be separated into extract with composition(xD = x0) and raffinate composition xn , using extract reflux as shown in the previous Figure. The rich solvent stream leaving the top of (SRU) has composition(y). N um ber of stages calculations:1 Locate x n , x f , x D = x 0 , y and y n+ 1 on the diagram . 2- P oint y 1 is located at the intersectio n of x 0 y extract branch 3 It is clear that:- V1 V + ( L 0 + D ) V1 x0 y = L 0 +D x0 y y y1 V1 y y1 L 0 (1+ V1 L0( r +1 D ) ) L 0 (1+ L0 V1 V1 L0 S ince r is know n, L0 m ay be calculated. ) r = ( r V1 1 r +1 r ) x0y y y1 4 R ' = V1 - L 0 = V f+ 1 - L f R ' lies on the extention of x 0 y 1 so that x0 R' = R ' y1 V1 L0 A lso R ' lies betw een y and y 1 . 5- x f is located on the raffinate (notice that x f coinside w ith x F ). C onnecting x f t o R ' it cuts the extract locus at y f+ 1 w hic h is also the extract com position leaving the seco nd section. 6- R = V n+ 1 - L n = V f+ 1 - ( L f + L F ) = R ' - L F C onnecting x F to R ', x F R ' intersects x n y n+ 1 a t R . 7- T he num ber of stages in each section m ay be calculated by usual polar construction using points R ' and R respectively. 8- T he operating curve m ay be projected on x-y diagram and the num ber of stages can be obtained. V1 = L0 x 0R' R 'y 1 = r +1 x 0 y r y y1 R ' lies betw een y & y 1 A lso V1 V + L 0 D R ' = V1 - L 0 = V + D Special cases:1- Solvent used as recovered:y = y n+1 2-Total reflux:D = 0 , reflux = r = L0/D = ∞ →n min V1 = V + D + L0 V1 = V + L0 V1 - L0 = R’ = V R’ on y 3-Total reflux , used as recovered:- 4-Minimum reflux ratio:- Optimum reflux ratio:The number of stages required increases as reflux ratio decreases. As reflux ratio decreases R’ lies on a tie line (xf y1max ) where reflux is minimum, infinite number of stages, (S/F)min. As reflux ratio increased, number of stages decreased. For total reflux, no product is withdrawn( D = 0 ) and reflux ratio = ∞ . Also R’ lies on y which means Zero Production rate. Solvent-free coordinate:Solvent free coordinates can be used in designing solvent extraction systems. The construction is in general less crowded than in the case of triangular diagram, but the same procedure described above may be followed. The amounts of various streams should be expressed on solvent -free basis. S om e notes on the diagram :P ure A = 100% , B = 0 , S = 0 x or y = A A = A + B = 1 , S N = A + 0 0 A + B 100 0 S 0 0 P ure B = 100% , A = 0 , S = 0 x or y = A 0 = A + B = 0 , N = 0 + 100 A + B P ure S = 100% , A = 0 , B = 0 x or y = A A + B = 0 0 , N = S A + B 100 00 0 10 0 0 T o calculate the am ounts on solvent free basis diagram :L 0 A +B + S = (A + B ) + S L 0' + S = L0 = A + B A + B A + B A + B 1 = L 0' = + S + = L0 L 0' N0 L0 1 + N0 also V1 ' = V1 1+ N 1 & L1 ' L1 1+ N 1 R ' is located on x 0 y so that & T he ratio of thus:- V ' L0 = ( r+ 1 r R ' y1 ' = V1 ' L0 ' x0y = y y1 ' 1 x 0R' V1 ' L0 + D ) ' x0y y y1 T he operating lines of the tw o sections is projected dow n to x-y digram and num ber of stages are determ ined by the usual step-w ise construction. Special cases:1- Solvent used as recovered → y = yn+1 (not pure Solvent) 2-Total reflux:- R’ = y → nmin 3- Solvent used as recovered & total reflux (in case of pure solvent)→ n min 4-Minimum reflux ratio:- ( y = yn+1 = pure solvent →∞ ) ' x 0 R m in y1R ' m in = ( rm in + 1 x0y ) rm in = ( y y1 rm in + 1 x 0 y1 + y y1 ) rm in = ( y y1 rm in + 1 ) ( rm in L im t yy 1 ( y1R ' m in 1 ) y y1 x 0 y1 )= 0 y y1 ' x 0 R m in x 0 y1 ( rm in + 1 rm in ) get rm in Complete immiscibility:When the solvent and raffinate liquid are completely Insoluble in each other, the extract locus will be the hypotenuse and the raffinate locus the horizontal side of the triangle. This simplifies the calculations because each phase will consist of two components only. The calculations is done on a “solute-free basis.” L’= amount of B in raffinate (L’0 = L’1= L’2=------= Ln= L’) V’ = amount of S in extract ( V’n+1 = V’n = V’1 = ----= V’) X = A/B = (mass of solute/mass of inert) in raffinate. Y = A/S = ( mass of solute/ mass of solvent) in extract. Types of contact:1- Simple single stage:V ' Y in + L' X in = V ' Y out + L' X out V ' ( Y in – Y out ) = L' (X out – X in ) - L' V' = (Y in - Y out ) (X in - X out ) operating line equation 2-Multi-stage cross current contact:1 st S tage:- V ' Y in + L' X in = V ' Y1 + L' X 1 V ' ( Y in – Y1 ) = L' (X 1 – X in ) L' - = V' 2 nd = V' 3 - rd (X in - X 1 ) S tage:L' - (Yin - Y1 ) (Yin - Y 2 ) (X 1 - X 2 ) S tage:- L' V' = (Yin - Y3 ) (X 2 - X 3 ) 3- Multi-stage counter current contact:- V ' Y in + L' X in = V ' Y out + L' X out V ' ( Y in – Y out ) = L' (X out – X in ) L' V' = (Y in - Y out ) operating line equation (X out - X in ) For (L’/V’)Min = Pinch point conditions = infinite number of stages(see graph). To calculate the number of stages use design range for Vopr. Equipments in liquid extraction:can be classified according to the methods applied for inter-dispersing the phases and producing the counter-current flow pattern. Both of these can be achieved either by force of gravity acting on the density difference between the phases, or by applying centrifugal force. The "gravity method" can be further divided into 2 broad categories according to the nature of their operation, namely stage-wise contact (e.g. in mixer settler) and differential contact (spray or packed column). In commercial applications, distinction is normally made between the light phase and the heavy phase, and between the dispersed phase and the continuous phase. The choice of the dispersed phase depends on flow rates, viscosities and wetting characteristics of both phases and is usually based on experience. For example, depending on circumstances, the solvent can be the heavy phase or the continuous phase -- but it will always be the extract phase. The location of the principal interface between the extract and the raffinate depends upon which phase is dispersed. When the light phase is dispersed, the interface is located at the top of the extractor. When the heavy phase is dispersed, the interface is located at the bottom. Normally the raffinate and/or extract needs to be separated by other means. Examples of Extraction Equipment some of the following equipment will be briefly discussed : (1) Mixer-settler:- Mixer-settlers are still widely used because of their reliability, operating flexibility, and high capacity. They can handle difficult-todisperse systems, such as those having high interfacial tension and/or large phase density difference. They can also used with highly viscous liquids and solid-liquid slurries. The main disadvantages are their size and the inventory of material held up in the equipment. For multiple unit operations, considerable capital costs may be needed for pumping and piping. Mixer - Settler A mixer-settler device ordinarily consisted of two parts: a mixer for contacting the two liquid phases to bring about mass transfer, and a settler for their mechanical separation. The mixer and settler can be integral or separate. The operation may be continuous or batch wise. Mixer-settler can be single-stage or multi-stage (cascade). For multi-stage system, also known as mixer-settler battery (MSB) . System expansion is easy by the addition of extra stages to existing system. Multi-Stage Counter Current Contact The stages are normally staggered in height, so that one phase can flow from one stage to another, while the other phase is pumped. Unagitated Column Extractors showed 3 types of unagitated column extractors: SPRAY COLUMN Column extractors typically have the two phases flowing in countercurrent pattern. For the unagitated units shown the light phase being dispersed or distributed (hence the heavy phase continuous), i.e. the light liquid enters at the bottom of the column and evolve as small droplets at the nozzle distributor. The droplets of light liquid rise through the mass of heavier liquid, which flows downward as a continuous stream. The droplets are collected at the top and form the stream of light liquid leaving the top of the column. The heavy liquid on the other hand leaves the bottom of the column. The choice may be reversed, whereby the heavy stream is introduced into the light phase at the top of the column and falls as dispersed droplets through a continuous stream of light liquid. (1) Spray Column This set-up consists of an empty shell with provisions at the end for introducing and removing the liquids. Its construction is the simplest but suffers from low efficiency due to poor phase contacting and excessive backmixing in the continuous phase. Because of their simple construction, spray columns are still used in the industry for simple operations such as washing and neutralization. (2) Packed Column:The packing in extraction is similar to the ones used in distillation. They include both random and structured packing. Packing offer better efficiency because of improved contacting and reduced back-mixing. It is important that the packing material be wetted by the continuous phase to avoid coalescence of the dispersed phase. To reduce the effects of channeling, re-distribution of the liquids at fixed intervals is normally required in taller columns. (3) Sieve-Tray (Perforated-Plate) Multi-Stage Column:This is also an improvement over the spray column. It is particularly suitable for corrosive systems where absence of mechanical moving parts is an advantage. Either the heavy liquid or the light liquid may be dispersed. If the light phase is dispersed, the light liquid flows through the perforations of each plate and is dispersed into drops which rise through the continuous phase. The continuous phase flows horizontally across each plate and passes to the plate below through the down comer If the heavy phase is dispersed, the column is reversed and up comers are used for the continuous phase. Mechanically Agitated Extractors:As an example of these extractors:Rotating Disk Contactor (RDC) In this system, horizontal disks are used as agitating elements, which are mounted on a centrally supported shaft. Mounted on the column wall and offset against the agitator disks are the stator rings. This device uses the shearing action of the rapidly rotating disks to inter-disperse the phases.