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).