Determine the collection efficiency of a conventional type cyclone to nuisance vent as much sawdust from a manufacturing plant as possible. The cyclone body diameter will be $1\mathrm{.}5$ meters, with an exhaust flow rate of $175$ m$3/$min$,$ with an average sawdust particle density of $1400$ kg$/$m$3.$ The particle size distribution is as follows:

Particle size

$\%$ mass in that size

$0-2\backslash$mu m

$2\mathrm{.}0\%$

$2-4\backslash$mu m

$8\mathrm{.}0\%$

$4-6\backslash$mu m

$15\mathrm{.}0\%$

$6-10\backslash$mu m

$25\mathrm{.}0\%$

$10-18\backslash$mu m

$35\mathrm{.}0\%$

$18-30\backslash$mu m

$9\mathrm{.}0\%$

$30-50\backslash$mu m

$3\mathrm{.}0\%$

$50-100\backslash$mu m

$3\mathrm{.}0\%$

Note:

$\backslash$rho g $=$ air gas density $=1\mathrm{.}2$ kg$/$m$3$

$\backslash$mu $=$ air gas viscosity $=1\mathrm{.}8$ x $10-5$ kg$/$m$.$s