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