An aqueous feed of 10,000 kg/h, saturated with BaCl2 at 100°C, enters a crystallizer that can be...

Question

An aqueous feed of 10,000 kg/h, saturated with BaCl2 at 100°C, enters a crystallizer that can be simulated with the MSMPR model. However, crystallization is achieved with negligible evaporation. The magma leaves the crystallizer at 20°C with crystals of the dihydrate. The crystallizer has a volume (vapor-space free basis) of 2.0 m3. From laboratory experiments, the crystal growth rate is essentially constant at 4.0 x 10–7 m/s.
Using the data below, determine:
(a) The kg/h of crystals in the magma product.
(b) The predominant crystal size in mm.
(c) The mass fraction of crystals in the size range from U.S. Standard 20 mesh to 25 mesh.
Data:
Density of the dihydrate crystals = 3.097 g/cm3
Density of an aqueous, saturated solution of barium chloride at 20°C = 1.29 g/cm3

David · Accepted Answer

ID – 326405- 
  PART  -A 
 BaCl2   , Barium chloride 
  Crystal   of   barium  chloride  , barium   chloride , deChydrate  =  BaCl2,2H20  =  
 Barium  chloride  =  BaCl2 
 Molecular   weight   of  BaCl2   =137 +35.5*2  =137 +71  = 208  kg  /kmol 
 Molecular  weight  of BaCl2 ,2H2O   =  208 +2*18 =244  Kg /kmol 
Density of    BaCl2   = 1.29  g /cc   at  20  oc 
 T1  =273 +20  =293  o k,   T2  =273+100  =373  ok 
 Q2 =q2  = q1*T2/T1  = 1.29* 293  /373  =1.01 g/cc =1011  kg /m3 
    Volume  at 100 oc = 10000/1011 =9.

An aqueous feed of 10,000 kg/h, saturated with BaCl2 at 100°C, enters a crystallizer that can be simulated with the MSMPR model. However, crystallization is achieved with negligible evaporation. The...

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