Assume you have a colloidal suspension in water where the particles are settling at a rate of

$1\mathrm{.}2{10}^{-6}c\frac{m}{s}$ under gravitational force, at $20C.$

a$)$ Find the average diameter of the particles if their density is $1\mathrm{.}6\frac{g}{c}{m}^3.$

b$)$ The colloidal suspension mentioned in part a is now subjected to centrifugation.

If the settling velocity of the particles is desired to be enhanced to $6\mathrm{.}00{10}^{-4}c\frac{m}{s},$ how

many $"$G$"$s are required to be added to the system through centrifugation? Calculate the

angular velocity required if the rotational radius is $45cm.$

Estimate and comment about the settling velocity if the average particle diameter was

increased by tenfold?

$=0\mathrm{.}01\frac{g}{c}\frac{m}{s}(at20C)$