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A continuous MSMPR crystallizer is used to produce itaconic acid crystals from Aspergillus terreus fermentation broth. The crystal density is 1690 kg/m3 and the volume

A continuous MSMPR crystallizer is used to produce itaconic acid crystals from Aspergillus terreus fermentation broth. The crystal density is 1690 kg/m3 and the volume shape factor is 0.5. The crystal production rate is 350 kg/h. Bench-scale studies have shown that a nucleation rate of 4.5 x 107 m3/s and a crystal linear growth rate of 2.1 x 10-9 m/s can be expected. The crystallizer is operated with a solution feed rate of 1.8 m3/h. What is the operating slurry density in the crystallizer? Determine the crystallizer volume. What is the dominant crystal size?

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