Algal cells are cultivated for bio$-$oil production. The broth contains algae of a wide range

of diameters: $1-50\backslash$mu m$.$ What range of cells can you trap if you centrifuge it in a tubular bowl

centrifuge, which is $1\mathrm{.}2$ m high, with an outer radius of $15$ cm and has a distance to the liquid

interface of $11$ cm$?$ The feed stream has a density of $1\mathrm{.}01$ g$/$cm$3$ and a viscosity of $1\mathrm{.}02$ cP$.$ The

density of the cells is $1\mathrm{.}03$ g$/$cm$3$

$.$ The rotation speed is $6000$ r$/$min and productivity is $330$

liters$/$minute$.$

b$)$ If $100\%$ recovery is expected, determine the productivity of the centrifuge, if it is operated

at the same speed?