In modeling the effect of an impurity on crystal growth, the following equation was derived: where C is impurity concentration, G_L 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 this result.

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G-GL 1 Go-G KLCm C (ppm) 50.0 G(mm/min) x 10³ 2.50 75.0 100.0 125.0 150.0 75.0 2.20 2.04 1.95 1.90