The feed to a continuous crystallizer that can be simulated with the MSMPR model is 5,000 kg/h of 40 wt% sodium acetate in water. Monoclinic crystals of the trihydrate will be formed. The pressure in the crystallizer and the heat-transfer rate in the associated heat exchanger are such that 20% of the water in the feed will be evaporated at a crystallizer temperature of 40°C. The crystal growth rate, G, is 0.0002 m/h and a predominant crystal size, L_pd, of 20 mesh is desired.

Determine:

(a) The kg/h of crystals in the exiting magma.

(b) The kg/h of mother liquor in the exiting magma.

(c) The volume in m³ of magma in the crystallizer if density of the crystals = 1.45 g/cm³ density of the mother liquor = 1.20 g/cm³

Solubility data: Solubility, g sodium acetate/100 g H2O T, C 54.5 65.5 139 30 40 60