An MSMPR-type crystallizer is to be designed to produce 2,000 lb/h of crystals of the heptahydrate of magnesium sulfate with a predominant crystal size of 35 mesh. The magma will be 15 vol% crystals. The temperature in the crystallizer will be 50oC and the residence time 2 h. The densities of the crystals and mother liquor are 1.68 and 1.32 g/cm3 , respectively. Determine: (a) the exiting flow rates in ft3/h of crystals, mother liquor, and magma; (b) the crystallizer volume in gallons, if the vapor space equals the magma space; (c) the approximate dimensions in feet of the crystallizer, if the body is cylindrical with a height equal to twice the diameter; (d) the required crystal growth rate in ft/h; (e) the necessary nucleation rate in nuclei/h-ft3 of mother liquor in the crystallizer; (f) the number of crystals produced per hour; (g) a screen analysis table covering a U.S. mesh range of 3-1/2 to 200, giving the predicted % cumulative and % differential screen analyses of the product crystals; (h) plots of the screen analyses predicted in part (g).
An MSMPR-type crystallizer is to be designed to produce 2,000 lb/h of crystals of the heptahydrate of magnesium sulfate with a predominant crystal size of 35 mesh. The magma will be 15 vol% crystals. The temperature in the crystallizer will be 50oC and the residence time 2 h. The densities of the crystals and mother liquor are 1.68 and 1.32 g/cm3 , respectively. Determine: (a) the exiting flow rates in ft3/h of crystals, mother liquor, and magma; (b) the crystallizer volume in gallons, if the vapor space equals the magma space; (c) the approximate dimensions in feet of the crystallizer, if the body is cylindrical with a height equal to twice the diameter; (d) the required crystal growth rate in ft/h; (e) the necessary nucleation rate in nuclei/h-ft3 of mother liquor in the crystallizer; (f) the number of crystals produced per hour; (g) a screen analysis table covering a U.S. mesh range of 3-1/2 to 200, giving the predicted % cumulative and % differential screen analyses of the product crystals; (h) plots of the screen analyses predicted in part (g).
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