An MSMPR-type crystallizer is to be designed to produce 2,000lb/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 50C and the residence time 2h. The densities of the crystals and mother liquor are 1.68 and 1.32g/cm3, respectively. Determine: (a) the exiting flow rates in ft3/h of crystals, mother liquor, and magma (10 points) (b) the crystallizer volume in gallons, if the vapor space equals the magma space ( 5 points) (c) the approximate dimensions in feet of the crystallizer, if the body is cylindrical with a height equal to twice the diameter ( 5 points) (d) the required crystal growth rate in ft/h (10 points) (e) the necessary nucleation rate in nuclei/h- ft3 of mother liquor in the crystallizer (5 points) (f) the number of crystals produced per hour ( 5 points) Table 17.4 U.S. Standard Screens ASTM EII