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MASS TRANSFER.2
LIQUID-LIQUID EXTRACTION
SECTION 1
Willkommen    Bienvenue
     Welcome
   yôkoso     welkom
          Benvenuto
 Bienvenida     tervetuloa
Separation
Techniques

    Distillation




  Crystallization




   Salting Out



     Solvent
    Extraction
WHY LIQUID-LIQUID EXTRACTION
 When nearly equal 1.
 For azeotropic mixtures.

 To avoid thermal decomposition.




 Some notes:
1- Separation is done according to different in solubility
  (not volatility).
2- Problem with L-L extraction that we mix then we
  separate.
WHAT IS LIQUID-LIQUID EXTRACTION
Species involved:                Vo: Mass flow rate of fresh solvent.
                                 yo: Mass fraction of solute in solvent
   Solute + Inert
                                 Lo: Mass flow rate of liquid feed mixture
   Solvent
                                 xo: Mass fraction of solute in meal
Each stage contain:              V1: Mass flow rate of Extract layer
   Contact                      y1: Mass fraction of solute in Extract

   Separation                   L1: Mass flow rate of Raffinate layer
                                 x1: Mass fraction of solute in Raffinate




Solvent                                               Extract
    Vo, yo                                            V1, y1
                     Contact   Separation

    Feed                                             Raffinate
    Lo, xo                                           L1, x1
   Extract:
           A
           B
           S
o Raffinate:
           A
           B
           S
TYPES OF TERNARY SYSTEMS
   Formation of one pair of partially miscible liquids.
                [closed ternary diagram]



   Formation of two pair of partially miscible liquids.
                  [open ternary diagram]
FORMATION OF ONE PAIR OF PARTIALLY
MISCIBLE LIQUIDS
   AS&BS are completely soluble.
                                              S
   AB is partially soluble.

   M will be separated to two
    compositions; N & L                   I

   If S is solvent for A so as S         P
    increases, L goes up till P(Plait
    Point) at which A,B & S become
    one phase. This is done due to                L
    the increase in mutual solubility
    between A&B.                      N
                                          M
                                                      II
                               A                           B
FORMATION OF ONE PAIR OF PARTIALLY
MISCIBLE LIQUIDS

   Equilibrium relation.
                            y




                                     P




                                         x
FORMATION OF TWO PAIR OF PARTIALLY
    MISCIBLE LIQUIDS
                                      S
     AS&AB are partially soluble.
     B is completely soluble in S.   I


y




                                I         II
                           A                   B




                          x
STAGE DEFINITION
   It is a mechanical device or series that allow the
    solvent & solution to contact and separate. So;
    stage is:
S   y0

  SINGLE STAGE


                                                             y1
 V0, y0                          V1, y1
                                                         M

 L0, x0            1             L1, x1
                                                    x1
                                                                  x0
                                           B                           A
                                           y
V0+L0=V1+L1=M
V0y0+L0x0=V1y1+L1x1=MxM
y0, x0, xM are on the same straight line
y1, x1, xM are on the same straight line




                                                                       x
S   y0


MULTI STAGE CROSS CURRENT
                                                             y2

             V0, y0            V0, y0                              y1

                                                     M2
                                                              M1
    L0, x0            L1, x1            L2, x2       x2 x
               1                 2                       1
                                                                        x0
                                                 B                           A
                                                 y
             V1, y1            V2, y2

are y0, x0, xM1 are on the same straight line
y1, x1, xM1 on the same straight line
are y0, x1, xM2 are on the same straight line
y2, x2, xM2 on the same straight line

                                                                             x
S   yn+1


     MULTI STAGE COUNTER CURRENT


                                                                        y3
                                                                             y2

                                                              M                   y1
    V1, y1         Vn, yn         Vn+1, yn+1
                                                       xn     x3 x x
             1                n                                   2 1
                                                                  x0
                                                   B                                   A
    L0, x0       L1, x1               Ln, xn
                                                   y
 Vn+1+L0=V1+Ln=M
 Vn+1yn+1+L0x0=V1y1+Lnxn=MxM
                                     yn+1
 L0-V1=Ln-Vn+1=R                                       R
No. of stages= n+(a/a+b)
But get a & b from AB line
                            xn+1 b     a
                                            xn-1
                                     xn                                                x
S   yn+1


PROJECTION OF OPERATING LINE




                                          M     y1

                                   xn
                                          x0
                               B                           A
                               y




                                   R
               Equilibrium
                                               Operating



                                                           x
EXTRACT & RAFFINATE EFFICIENCY

y                                          y

Equilibrium                               Equilibrium
                        H                                  L
                0.9H
                                                        0.8L
  New
Equilibrium
                                     New
                                   Equilibrium
                 Operating                                     Operating

                               x                                            x

      Extract efficiency 90%                     Raffinate efficiency 80%
PROBLEM (1)
    Givens:
    A counter current-multi stage system.
    We need to recover Pyridine from aqueous solution by Chloro-
     benzene.
    xn=0.01
    x0=0.25
    Vn+1/L0=10

    Required:
1.    Maximum pyridine content that may be obtained in the
      extract phase leaving the system.
     For ratio of solvent to feed of 10 determine:
1.    Composition and quantity (expressed as pounds per pound
      of feed) of extract phase leaving the system.
2.    The number of equilibrium stages required.
PROBLEM (1)
           Raffinate layer                        Extract layer

                             Chloro-                              Chloro-
Pyridine       Water                   Pyridine      Water
                             benzene                              benzene

  xA             xB            xS        yA            yB           yS

 0.25           0.73          0.02      0.28          0.03         0.69

 0.12           0.88           0        0.18          0.02          0.8

 0.03           0.97           0        0.07          0.02         0.91

 0.01           0.99           0        0.03          0.01         0.96
S     yn+1



   PROBLEM (1)

           Raffinate                      Extract



  Raffinate layer                  Extract layer              B            x0
                     Chloro-                        Chloro-
                                                                   xn           A
Pyridine     Water
                     benzene
                               Pyridine    Water
                                                    benzene   yA
  xA          xB        xS       yA        yB        yS
0.25        0.73       0.02    0.28       0.03      0.69
0.12        0.88        0      0.18       0.02       0.8
0.03        0.97        0      0.07       0.02      0.91
0.01        0.99        0      0.03       0.01      0.96


             Equilibrium                                                        xA
S     yn+1



PROBLEM (1)                                     y1 max

 To get maximum extract
  concentration, it will be at
  equilibrium    with     feed
  concentration (x0).
 y1max=0.27                          B
                                           xn      x0    A
                                      yA

Note
   Here we make an approx. as
    equilibrium    not    complete
    (otherwise we have to work like
    the next problem)



                                                         xA
S    yn+1
                                            y1=0.05
                                                      yn+1
                           M
                                                                 b
PROBLEM (1)
 As S/F=Vn+1/L0=10
                                                             a
 Vn+1/(Vn+1+L0)=a/(a+b)
                                                                          x0
 10/11=a/(a+b)

 a+b=10.1, a=9.18
                           B           x0
                                xn                                   A
 Put Point(M).            yA




                                                                     xA
R
              yn+1                    y1

PROBLEM (1)




                         B       x0        A
                         yA xn




                                           xA
R
                         yn+1                    y1

PROBLEM (1)
   N.T.S=1.




                                    B       x0                    A
                                    yA xn




               Equilibrium

                                                      Operating
                                                                  xA
S    yn+1
                                             y1
                                                       y1
                            M
PROBLEM (1)                                        b


 As S/F=Vn+1/L0=10
                                                            a
 V1/(V1+Ln)=a/(a+b)
                                                  xn
 9/9.6=a/(a+b)

 V1/(V1+Ln)=9/9.6
                            B           x0
                                 xn                     A
 L0/(Vn+1+L0)=1/11……..*    yA
 V1+Ln= Vn+1+L0

 V1 /(Vn+1+L0)=9/9.6……**

 By dividing *&**

 V1/ L0=(9*11)/(9.6*1)

 V1/ L0=10.3125 lb/lb


                                                        xA
PROBLEM (2)
   Givens:
   A:Diphenyl hexane.
   B:Decosane.
   S:Furfural.
   Feed contains 0.2 A & 0.8 B.
   Multistage counter current system.
   Solvent contains 0.005 A.
   Raffinate product contains 0.01 A.
   Required:
   N.T.S if mass ratio of solvent to feed is 1.65.
   Ratio of solvent to feed when N.T.S equals 3.
   Maximum concentration of A that will be obtained.
PROBLEM (2)
   Here the solubility saturation curve is given
    between xS , xA &xB so, this means that the
    solubility curve is closed.
                 xS                  xA             xB



   Also the equilibrium curve is given:
            xA        xB      xS          yA   yB        yS



                       Equilibrium
y
                  yn+1

                         b
PROBLEM (2)                           R
   xn= 0.01
                       a
   x0= 0.2
                             x0
   yn+1 = 0.005
   Vn+1/L0=1.65
   Vn+1/(Vn+1+L0)=1.65/2.65=0         yn+1
                                                             x
                                  S
    .62
   Vn+1/(Vn+1+L0)=a/(a+b)                     y1
   0.62=a/9.5
   a= 5.89                                M
   Put Point M
   y1=0.15
   N.T.S=4
                                      xn            X0=0.2
                                  B                          A
y



PROBLEM (2)
 To get S/F that makes
  N.T.S=3.
 We will assume y1. As
  N.T.S decreases, y1              R
  decreases       too so;
                            yn+1                          x
  assume it less than y1
                            S
  of N.T.S=4                            y1 assumed
 y1 assumed =0.1
                                   M
 What a luck!!
 Vn+1/L0=1.8




                                   xn         x0 X0=0.2
                            B                             A
y



PROBLEM (2)                           R

   To get y1max;
    a) Assume y1max

    b) From the equilibrium,
    get x1 on the raffinate                                          x
                                  S    yn+1
    locus
                                               y1   y 1max assumed
    c) If the line connecting
    y1max and x1 passes by                 M
    xo, then the assumption
    is true. If not, repeat the
    steps
                                                    X1 X =0.2
                                      xn                0
                                  B                                  A
Thank you for
your attention!
Any Questions?

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Section 1

  • 2. Willkommen Bienvenue Welcome yôkoso welkom Benvenuto Bienvenida tervetuloa
  • 3. Separation Techniques Distillation Crystallization Salting Out Solvent Extraction
  • 4. WHY LIQUID-LIQUID EXTRACTION  When nearly equal 1.  For azeotropic mixtures.  To avoid thermal decomposition.  Some notes: 1- Separation is done according to different in solubility (not volatility). 2- Problem with L-L extraction that we mix then we separate.
  • 5. WHAT IS LIQUID-LIQUID EXTRACTION Species involved: Vo: Mass flow rate of fresh solvent. yo: Mass fraction of solute in solvent  Solute + Inert Lo: Mass flow rate of liquid feed mixture  Solvent xo: Mass fraction of solute in meal Each stage contain: V1: Mass flow rate of Extract layer  Contact y1: Mass fraction of solute in Extract  Separation L1: Mass flow rate of Raffinate layer x1: Mass fraction of solute in Raffinate Solvent Extract Vo, yo V1, y1 Contact Separation Feed Raffinate Lo, xo L1, x1
  • 6. Extract: A B S o Raffinate: A B S
  • 7. TYPES OF TERNARY SYSTEMS  Formation of one pair of partially miscible liquids. [closed ternary diagram]  Formation of two pair of partially miscible liquids. [open ternary diagram]
  • 8. FORMATION OF ONE PAIR OF PARTIALLY MISCIBLE LIQUIDS  AS&BS are completely soluble. S  AB is partially soluble.  M will be separated to two compositions; N & L I  If S is solvent for A so as S P increases, L goes up till P(Plait Point) at which A,B & S become one phase. This is done due to L the increase in mutual solubility between A&B. N M II A B
  • 9. FORMATION OF ONE PAIR OF PARTIALLY MISCIBLE LIQUIDS  Equilibrium relation. y P x
  • 10. FORMATION OF TWO PAIR OF PARTIALLY MISCIBLE LIQUIDS S  AS&AB are partially soluble.  B is completely soluble in S. I y I II A B x
  • 11. STAGE DEFINITION  It is a mechanical device or series that allow the solvent & solution to contact and separate. So; stage is:
  • 12. S y0 SINGLE STAGE y1 V0, y0 V1, y1 M L0, x0 1 L1, x1 x1 x0 B A y V0+L0=V1+L1=M V0y0+L0x0=V1y1+L1x1=MxM y0, x0, xM are on the same straight line y1, x1, xM are on the same straight line x
  • 13. S y0 MULTI STAGE CROSS CURRENT y2 V0, y0 V0, y0 y1 M2 M1 L0, x0 L1, x1 L2, x2 x2 x 1 2 1 x0 B A y V1, y1 V2, y2 are y0, x0, xM1 are on the same straight line y1, x1, xM1 on the same straight line are y0, x1, xM2 are on the same straight line y2, x2, xM2 on the same straight line x
  • 14. S yn+1 MULTI STAGE COUNTER CURRENT y3 y2 M y1 V1, y1 Vn, yn Vn+1, yn+1 xn x3 x x 1 n 2 1 x0 B A L0, x0 L1, x1 Ln, xn y Vn+1+L0=V1+Ln=M Vn+1yn+1+L0x0=V1y1+Lnxn=MxM yn+1 L0-V1=Ln-Vn+1=R R No. of stages= n+(a/a+b) But get a & b from AB line xn+1 b a xn-1 xn x
  • 15. S yn+1 PROJECTION OF OPERATING LINE M y1 xn x0 B A y R Equilibrium Operating x
  • 16. EXTRACT & RAFFINATE EFFICIENCY y y Equilibrium Equilibrium H L 0.9H 0.8L New Equilibrium New Equilibrium Operating Operating x x Extract efficiency 90% Raffinate efficiency 80%
  • 17. PROBLEM (1)  Givens:  A counter current-multi stage system.  We need to recover Pyridine from aqueous solution by Chloro- benzene.  xn=0.01  x0=0.25  Vn+1/L0=10  Required: 1. Maximum pyridine content that may be obtained in the extract phase leaving the system.  For ratio of solvent to feed of 10 determine: 1. Composition and quantity (expressed as pounds per pound of feed) of extract phase leaving the system. 2. The number of equilibrium stages required.
  • 18. PROBLEM (1) Raffinate layer Extract layer Chloro- Chloro- Pyridine Water Pyridine Water benzene benzene xA xB xS yA yB yS 0.25 0.73 0.02 0.28 0.03 0.69 0.12 0.88 0 0.18 0.02 0.8 0.03 0.97 0 0.07 0.02 0.91 0.01 0.99 0 0.03 0.01 0.96
  • 19. S yn+1 PROBLEM (1) Raffinate Extract Raffinate layer Extract layer B x0 Chloro- Chloro- xn A Pyridine Water benzene Pyridine Water benzene yA xA xB xS yA yB yS 0.25 0.73 0.02 0.28 0.03 0.69 0.12 0.88 0 0.18 0.02 0.8 0.03 0.97 0 0.07 0.02 0.91 0.01 0.99 0 0.03 0.01 0.96 Equilibrium xA
  • 20. S yn+1 PROBLEM (1) y1 max  To get maximum extract concentration, it will be at equilibrium with feed concentration (x0).  y1max=0.27 B xn x0 A yA Note  Here we make an approx. as equilibrium not complete (otherwise we have to work like the next problem) xA
  • 21. S yn+1 y1=0.05 yn+1 M b PROBLEM (1)  As S/F=Vn+1/L0=10 a  Vn+1/(Vn+1+L0)=a/(a+b) x0  10/11=a/(a+b)  a+b=10.1, a=9.18 B x0 xn A  Put Point(M). yA xA
  • 22. R yn+1 y1 PROBLEM (1) B x0 A yA xn xA
  • 23. R yn+1 y1 PROBLEM (1)  N.T.S=1. B x0 A yA xn Equilibrium Operating xA
  • 24. S yn+1 y1 y1 M PROBLEM (1) b  As S/F=Vn+1/L0=10 a  V1/(V1+Ln)=a/(a+b) xn  9/9.6=a/(a+b)  V1/(V1+Ln)=9/9.6 B x0 xn A  L0/(Vn+1+L0)=1/11……..* yA  V1+Ln= Vn+1+L0  V1 /(Vn+1+L0)=9/9.6……**  By dividing *&**  V1/ L0=(9*11)/(9.6*1)  V1/ L0=10.3125 lb/lb xA
  • 25. PROBLEM (2)  Givens:  A:Diphenyl hexane.  B:Decosane.  S:Furfural.  Feed contains 0.2 A & 0.8 B.  Multistage counter current system.  Solvent contains 0.005 A.  Raffinate product contains 0.01 A.  Required:  N.T.S if mass ratio of solvent to feed is 1.65.  Ratio of solvent to feed when N.T.S equals 3.  Maximum concentration of A that will be obtained.
  • 26. PROBLEM (2)  Here the solubility saturation curve is given between xS , xA &xB so, this means that the solubility curve is closed. xS xA xB  Also the equilibrium curve is given: xA xB xS yA yB yS Equilibrium
  • 27. y yn+1 b PROBLEM (2) R  xn= 0.01 a  x0= 0.2 x0  yn+1 = 0.005  Vn+1/L0=1.65  Vn+1/(Vn+1+L0)=1.65/2.65=0 yn+1 x S .62  Vn+1/(Vn+1+L0)=a/(a+b) y1  0.62=a/9.5  a= 5.89 M  Put Point M  y1=0.15  N.T.S=4 xn X0=0.2 B A
  • 28. y PROBLEM (2)  To get S/F that makes N.T.S=3.  We will assume y1. As N.T.S decreases, y1 R decreases too so; yn+1 x assume it less than y1 S of N.T.S=4 y1 assumed  y1 assumed =0.1 M  What a luck!!  Vn+1/L0=1.8 xn x0 X0=0.2 B A
  • 29. y PROBLEM (2) R  To get y1max; a) Assume y1max b) From the equilibrium, get x1 on the raffinate x S yn+1 locus y1 y 1max assumed c) If the line connecting y1max and x1 passes by M xo, then the assumption is true. If not, repeat the steps X1 X =0.2 xn 0 B A
  • 30. Thank you for your attention! Any Questions?

Editor's Notes

  1. Corrected slide 16 sec.1
  2. What is equilibrium?