ADAMSON UNIVERSITY
College of Engineering
  Chemical Engineering Department
  San Marcelino Street, Ermita, Manila
UNIT OPERATIONS 2 LABORATORY
          EXPERIMENT 8
Batch Leaching of NaCl-Sand Mixture
       with Water as Solvent
            SUBMITTED BY:
       ALFARAS, Alexander Allen S.
    MURILLO, Ma. Cristine Bernadette A.
         RUEDAS, Aina Dennice E.
       VILLARETE, Meredith Mae Q.
            SUBMITTED TO:
          Engr. Pinky Joy Janaban
           November 7, 2018
I.     ABSTRACT
       Leaching is concerned with the extraction of a soluble constituent from a solid by means of
       a solvent. The process may be used either for the production of a concentrated solution of a
       valuable solid material, or in order to remove an insoluble solid, such as a pigment, from a
       soluble material with which it is contaminated. The one of the three modes of extraction;
       single stage was done in this experiment using the beaker scale extraction operation. This
       experiment uses mainly of the sand, NaCl and water mixture together with the series of
       laboratory beakers. The extractions were carried out at different values of solvents for each
       case. The solutions are withdrawn off after extraction process for the determination of
       density using westphal balance. The density-concentration plot aids in the calculation of the
       amount of solute in the final extract and raffinate for different cases. The efficiencies were
       computed using the formula for extraction efficiency. The obtained efficiencies showed that
       a large amount of solute was removed from the solution.
II.    OBJECTIVES
       1. To make a single – stage and multistage beaker-scale extraction operation.
       2. To calculate single stage extraction efficiencies.
III.   MATERIALS / EQUIPMENT
          7 pcs of 100 mL beakers
          NaCl
          Water
          Clean dry sand
          12 pcs – 1L beaker
          Westpal Balance
IV.    EQUIPMENT SET UP
                                 Figure 1. Typical Leaching Set-up.
V.       THEORY
             Extraction uses the property of solubility to transfer a solute from one phase to
     another phase. In order to perform an extraction, the solute must have a higher solubility
     in the second phase than in the original phase. In liquid-liquid extraction, a solute is
     separated between two liquid phases, typically an aqueous and an organic phase. In the
     simplest case, three components are involved: the solute, the carrier liquid, and the solvent.
     The initial mixture, containing the solute dissolved in the carrier liquid, is mixed with the
     solvent. Upon mixing, the solute is transferred from the carrier liquid to the solvent. The
     denser solution settles to the bottom. The location of the solute will depend on the
     properties of both liquids and the solute.
             Solid-liquid extraction is similar to liquid-liquid extraction, except that the solute
     is dispersed in a solid matrix, rather than in a carrier liquid. The solid phase, containing the
     solute, is dispersed in the solvent and mixed. The solute is extracted from the solid phase
     to the solvent, and the solid phase is then removed by filtration. Mass transfer rates within
     the porous residue are difficult to assess because it is impossible to define the shape of the
     channels through which transfer must take place. It is possible, however, to obtain an
     approximate indication of the rate of transfer from the particles to the bulk of the liquid.
                                 Figure 2. Schematic Extraction.
             In leaching it is assumed that there is sufficient solvent present so that all the solute
     in the entering solid can be dissolved into the liquid, equilibrium is reached when the solute
     is dissolved. Hence, all the solute is completely dissolved in the first stage. It is also
     assumed that the solid is insoluble, and no adsorption will happen for the solute in the solid,
meaning that the solution in the liquid phase leaving a stage is the same as the solution
remaining with the solid matrix in the settled slurry leaving the same stage. The settled
solid leaving a stage always contains some liquid. This solid-liquid stream is called the
underflow or slurry stream. The liquid is called the overflow stream. The concentration of
oil or solute in the overflow stream is equal to that in the liquid solution accompanying the
slurry or underflow stream. Hence, on an xy plot the equilibrium line is on the 45o line.
           Figure 3. Countercurrent leaching: A, launder; B, rake; C, pump.
       Since, there are three components: solute (A), inert or leached solid (B), and solvent
(C), a rectangular diagram is used to show the equilibrium data. The concentration of inert
or insoluble solid B in the solution mixture or the slurry mixture is defined as
                                 𝑘𝑔 𝐵      𝑘𝑔 𝑠𝑜𝑙𝑖𝑑
                        𝑁=               =
                              𝑘𝑔 𝐴 + 𝑘𝑔 𝐶 𝑘𝑔 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛
       For the overflow, N = 0, for the underflow, N depends on the solute concentration
in the liquid. The compositions of solute A in the liquid as weight fractions are
                           𝑘𝑔 𝐴       𝑘𝑔 𝑠𝑜𝑙𝑢𝑡𝑒
                   𝑥𝐴 = 𝑘𝑔 𝐴+𝑘𝑔 𝐶 = 𝑘𝑔 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛 (overflow liquid)
                           𝑘𝑔 𝐴       𝑘𝑔 𝑠𝑜𝑙𝑢𝑡𝑒
                   𝑦𝐴 = 𝑘𝑔 𝐴+𝑘𝑔 𝐶 = 𝑘𝑔 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛 (liquid in slurry)
       For the entering solid feed to be leached, N is kg inert solid/kg solute A and yA =
1.0. For pure entering solvent N = 0 and xA = 0.
                                      Figure 4. Graph of a Leaching Process.
The following figure shows a single-stage leaching process where V is kg/h of overflow solution
with composition xA and L is the kg/h of liquid in the slurry solution with composition yA based
on a given flow rate B kg/h of dry solute-free solid.
          Figure 5. Balance in One Stage.
By doing material balances, we have                                      Figure 6. Graph of the Tie-Line.
Total solution (A+C): L0 + V2 = L1 +V1 = M
    A: L0yA0 +V2xA2 = L1yA1 +V1xA1 = MxAM
    B: B = L0N0 + 0 = L1N1 + 0 = MNM
         A balance on C is not needed since xA + xC = 1 and yA + yC = 1, where M is the total flow
rate in kg (A+C)/h, xAM and NM are the coordinates of this point M. If L0 entering is the fresh solid
feed to be leached with no solvent C present, it would be located above the N versus y line in the
above figure.
Factors influencing the rate of extraction
        The selection of the equipment for an extraction process is influenced by the factors which
are responsible for limiting the extraction rate. Thus, if the diffusion of the solute through the
porous structure of the residual solids is the controlling factor, the material should be of small size
so that the distance the solute has to travel is small. On the other hand, if diffusion of the solute
from the surface of the particles to the bulk of the solution is the controlling factor, a high degree
of agitation of the fluid is required.
There are four important factors to be considered:
        Particle size. Particle size influences the extraction rate in a number of ways. The smaller
the size, the greater is the interfacial area between the solid and liquid, and therefore the higher is
the rate of transfer of material and the smaller is the distance the solute must diffuse within the
solid as already indicated. On the other hand, the surface may not be so effectively used with a
very fine material if circulation of the liquid is impeded, and separation of the particles from the
liquid and drainage of the solid residue are made more difficult. It is generally desirable that the
range of particle size should be small so that each particle requires approximately the same time
for extraction and, in particular, the production of a large amount of fine material should be avoided
as this may wedge in the interstices of the larger particles and impede the flow of the solvent.
        Solvent. The liquid chosen should be a good selective solvent and its viscosity should be
sufficiently low for it to circulate freely. Generally, a relatively pure solvent will be used initially,
although as the extraction proceeds the concentration of solute will increase and the rate of
extraction will progressively decrease, first because the concentration gradient will be reduced,
and secondly because the solution will generally become more viscous.
        Temperature. In most cases, the solubility of the material which is being extracted will
increase with temperature to give a higher rate of extraction. Further, the diffusion coefficient will
be expected to increase with rise in temperature and this will also improve the rate of extraction.
In some cases, the upper limit of temperature is determined by secondary considerations, such as,
for example, the necessity to avoid enzyme action during the extraction of sugar.
Agitation of the fluid. Agitation of the solvent is important because this increases the eddy
diffusion and therefore the transfer of material from the surface of the particles to the bulk of the
solution, as discussed in the following section. Further, agitation of suspensions of fine particles
prevents sedimentation and more effective use is made of the interfacial surface.
VI. PROCEDURE
   A. Construction of Density – Concentration Plot for NaCl solution
           Using seven (7) 100mL beakers, weigh corresponding amount of NaCl to make 0, 4, 8,
   12, 16, 20, and 25% (by weight) salt dissolved in water. Then, add clean dry sand equivalent
   to the amount of the water added. Stir properly and measure the liquor density of each beaker.
   Lastly, plot the density (y-axis) against the weight percent NaCl (x-axis).
   B. Preparation of the Fresh Feed
           Weight 4 dry 1-L beaker and label from numbers 1-4, then place into each beaker the
   sand-salt mixture pack. The pack contains150g sand; the amount salt is unknown. Pour 150mL
   of water into each beaker and mix thoroughly. Then measure the liquor density of beaker IV.
   This is the fresh feed liquor density and after that, determine the weight percent composition
   of the fresh feed.
   C. Single Stage Extraction Operation
           Pour another 50mL of water to beaker 1, 100 mL to beaker 2, and 200mL to beaker 3.
   Then stir well and allow settling. Decant the supernatant liquid from each beaker with a volume
   equal to that added in step C-1 into separate containers. Then determine the densities of the
   liquors in each beaker. Convert densities to weight percent salt using the density-concentration
   plot. Lastly, calculate the single-stage salt extraction efficiencies.
VII.   RESULTS & DISCUSSION
       A. Construction of Density – Concentration Plot for NaCl solution
                                       Density (g/ml)             %
                                             0                     0
                                         0.04167                   4
                                         0.07765                   8
                                         0.13698                  12
                                         0.19077                  16
                                         0.25015                  20
                                         0.33345                  25
          A density-concentration plot for the NaCl-sand solution (Figure 7) was constructed
   from the calculated densities of the prepared NaCl with varying weight percent. This graph
   was used to determine the corresponding weight percent of the different solutions obtained
   in the experiment.
                                     Density VS. Concentration
                          0.4
                         0.35
                          0.3
                         0.25
               Density
                          0.2
                         0.15
                          0.1
                         0.05
                           0
                                0        5        10        15         20       25   30
                                                       Concentration
                                    Figure 7. Density vs. Concentration of A.
          As shown by Figure 7, the density increases as concentration increases. Density is
       directly proportional to concentration of A.
   B. Preparation of the Fresh Feed
                           Mass of Water Density
                          Salt+Sand (ml)   (g/ml)
                              (g)
                              72     100    0.72
                              64     88.9 0.71991
                             136    188.9
                       Table 1. Composition of Fresh Feed.
       Table 1 shows the overall composition of the fresh feed. The composition of the
fresh feed is determined using the density-concentration plot for NaCl solution. The total
mass of solution in the feed is 136 g.
   C. Single Stage Extraction Operation
                  Number of Stages        Extraction Efficiency
                        1                     10.35570855
                        2                     31.04933071
                        3                     83.56885564
       Another method of operation in leaching is the multiple-stage extraction. In this
operation, the material to be treated and the solvent to be used are contacted many times.
Since leaching is limited by equilibrium, several subsequent stages for further extraction
are used to recover residual solute from the raffinate stream.
       In the single stage extraction operation, the smallest amount of solvent used for
extraction will give the smallest amount of extracted component. This is because the
driving force for the transfer of the salt from the feed into the water solvent is the
concentration between the feed (underflow) and the solvent (overflow), and the distribution
of the salt is the same in both overflow and underflow once equilibrium is reached, granting
that enough time for mixing was done to evenly distribute the salt. This means that a
  smaller amount of solvent can only leach out a smaller amount of salt and a larger amount
  of solvent can extract more salt before reaching equilibrium.
        For multistage extraction operations, having more stages means higher extraction
  efficiency. The table shows that as the number of stages increases, the extraction efficiency
  also increases. A single stage for the extraction process using 150 mL solvent only gives
  10.35% efficiency, whereas multiple stages give efficiencies of more than 80%. For a
  certain amount of solvent, dividing it into several stages will give a more efficient
  extraction because it creates more equilibrium stages.
        The amount of salt that can be extracted increases due to the addition of another
  stage which corresponds to introduction of a new driving force or concentration gradient
  for diffusion of salt into the extracting solvent. Since at each stage, the solute particles in
  the underflow would distribute uniformly with the overflow phase and would approach
  equilibrium, a uniform concentration exists between the two streams. The introduction of
  the fresh solvent into the next stage will disrupt the equilibrium and the diffusion of solute
  can occur again. The amount of solute in the underflow stream continues to decrease as it
  would achieve equilibrium once more with the fresh solvent at each succeeding stage.
  Thus, a higher amount of solute would be extracted as the number of stages is increased.
VIII. CONCLUSION & RECOMMENDATION
     The experiment investigates the batch leaching of NaCl-Sand mixture with water as
  solvent in a beaker scale set-up. The group generated a single-stage and multistage leaching
  operation to measure the extraction of the salt-sand mixture by calculating the extraction
  efficiencies in each stage involved. The results indicated that as the number of stages
  increases, the extraction efficiency increases as well. The group recommends the use of a
  Westpal balance to accurately identify the density of a given solution. In addition, ensure
  that all the salt-sand mixture in each stage are properly transferred into the next one to
  avoid errors in the computation.
IX. REFERENCE
     https://www.jove.com/science-education/5538/solid-liquid-extraction
     http://www.gunt.de/images/download/extraction_english.pdf
     https://pubs.acs.org/doi/abs/10.1021/ie50481a041?journalCode=iechad
     Perry, Chemical Engineering Handbook, 8th Edition
X. APPENDICES
     EXPERIMENTAL DATA
     A. Construction of Density – Concentration Plot for NaCl solution
                              %         Salt + Sand          Water
                                             (g)             (ml)
                              0               0               35
                              4             1.40              33.60
                              8           2.5219             32.4781
                              12          4.2167             30.7833
                              16          5.6072             29.3928
                              20          7.0033             27.9967
                              25          8.7523             26.2477
     B. Preparation of the Fresh Feed
                         Mass of Salt+Sand             Water
                                (g)                    (ml)
                                   72                   100
                                   64                   108
     C. Single Stage Extraction Operation
         Beaker I
                                                   Initial                   Final
             Mass Sand+Salt (g)                      72                       50
                Water (ml)                          150                      116.2
              Density (g/ml)                        0.48                   0.430293
  Beaker II
                                          Initial                   Final
      Mass Sand+Salt (g)                    72                       56
         Water (ml)                        200                      118.7
           Density                         0.36                   0.471778
  Beaker III
                                          Initial                   Final
      Mass Sand+Salt (g)                    72                       112
         Water (ml)                        300                      120.3
           Density                         0.24                   0.440565
ATTENDANCE SHEET
     ALFARAS, Alexander Allen S.
     MURILLO, Ma. Cristine Bernadette A.
     RUEDAS, Aina Dennice E.
     VILLARETE, Meredith Mae Q.
SAMPLE COMPUTATION
  A. Construction of Density – Concentration Plot for NaCl solution
                              1.40 𝑔
                          𝜌=          = 0.04167 𝑔/𝑚𝑙
                             33.60 𝑚𝑙
                             2.5219 𝑔
                          𝜌=          = 0.07765𝑔/𝑚𝑙
                             32.4781
  B. Preparation of the Fresh Feed
                                72 𝑔
                            𝜌=        = 0.72 𝑔/𝑚𝑙
                               100 𝑚𝑙
                              64 𝑔
                          𝜌=         = 0.71991 𝑔/𝑚𝑙
                             88.9 𝑚𝑙
  C. Single Stage Extraction Operation
     Beaker I:
               Initial:
                                  72 𝑔
                            𝜌=          = 0.48 𝑔/𝑚𝑙
                                 150 𝑚𝑙
                   Final:
                                     50 𝑔
                              𝜌=            = 0.430293 𝑔/𝑚𝑙
                                   116.2 𝑚𝑙
                   Extraction Efficiency:
                             0.48 − 0.430293
                      𝛾=                     𝑥100 = 10.35570855
                                0.430293
DOCUMENTATION
  Preparation of materials            Weighing of NaCl            Weighing of sand
  Sand and NaCl mixed in                                      Weighing of the decanted
                                   Wet sand after decanting
          beaker                                                      solution