Estimate the expected Crystal growth

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In modeling the effect of an impurity on crystal growth, the following equation was derived: where C is impurity concentration, GL is a limiting growth rate, G0 is the growth rate of the crystal with no impurity present, and KL and m are model parameters, in a particular experiment, G0 = 3.00 x 10–3 mm/min, and GL = 1.80 x 10 – 3 mm/min. Growth rates are measured fro several impurity concentrations C (parts per million, or ppm), with the following results: (For example, when C = 50.0ppm, G = 2.50 x 10–3 mm/min).
(a) Determine KL and m, giving both numerical values and units.
(b) A solution is fed to a crystallizer in which the impurity concentration is 475ppm. Estimate the expected crystal growth rate in (mm/min). Then state why you would be extremely skeptical about thisresult.

    • 10 years ago
    Estimate the expected Crystal growth
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