2.6 A seed crystal of diameter D (mm) is placed in a solution of dissolved salt, and
new crystals are observed to nucleate (form) at a constant rate
Experiments with seed crystals of differentt sizes show that the rate of nucleation
varies with the seed crystal diameter as
where D is in mm, and where A and B are constants (which must be determined).
(a) What are the units of the constants A and B? Suppose that a D = 1 mm
seed crystal produces a nucleation rate of r = 210 crystals min1, whereas a
D = 2 mm seed crystal produces a nucleation rate of r = 440 crystals min1.
Use this information to evaluate A and B.
(b) Calculate the crystal nucleation rate in crystals min1 for a seed crystal di-
ameter of 0.05 inch.
(c) Derive a formula for r (crystals min1) in terms of D (in). What are the
values and units of the constants in the expression? Check the formula with
the result of 2.6(b). Comment on your results.
(d) Derive a formula for
. what are the values snd units of the constants in the expression.