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 50°C and the residence time will be 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 cubic feet per hour of

Crystals

Mother liquor

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 feet per hour.

(e) The necessary nucleation rate in nuclei per hour per cubic feet 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).