Question: Belter et al. [43] report that cooled batch crystallization of tetracycline in mixed solvents exhibits linear changes in solubility with temperature: 1.14 x 10

Belter et al. [43] report that cooled batch crystallization of tetracycline in mixed solvents exhibits linear changes in solubility with temperature: 1.14 x 10^–³ g antibiotic/cm³ solvent/K. Suppose 0.01- cm seeds (ρ = 1.06 g/cm³) are added at 27 μg/cm³ to obtain 0.095- cm crystals at supersaturation of about 0.077 g/cm³. Calculate the cooling curve for this process, assuming constant, diffusion controlled growth of cubic crystals with a mass-transfer coefficient of 6.5 x 10^–5 cm/sec. Estimate the process time and fractional increase in product size per seed.

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