A seed crystal of diameter d mm is placed in a solution

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A seed crystal of diameter D (mm) is placed in a solution ofdissolved salt, and new crystals are observed to form at a constantrate r (cyrstalsmin-1). Experiments with seed crystals of differentsizes show that the rate of crystal growth varies with the seedcrystal diameter as

r=200D-10D2

a. What are the units of the constants 200 and 10?

b. Calculate the rate in crystals s-1 corresponding to acrystal diameter of 0.050 inch.

c. Derive a formula for r (in crystals s-1) in terms ofD (in inches). Check your formula using the result of part (b).

Reference no: EM13633428

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