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Chapter Four Cyclones

$4\mathrm{.}4$ Recalculate the efficiency of the cyclone of Problem $4\mathrm{.}2$ for the following particle size distribution.

$\backslash$table$[[$Size Range, $m,$Mass Percent in Size Range$],[0-2,4\mathrm{.}0],[2-6,16\mathrm{.}0],[6-12,20\mathrm{.}0],[12-20,20\mathrm{.}0],[20-40,20\mathrm{.}0],[40-80,18\mathrm{.}0],[>80,2\mathrm{.}0]]$

$4\mathrm{.}5$ Calculate the pressure drop for the cyclone of Problem $4\mathrm{.}1,$ assuming $K=16.$ Give your answer in kPa and in in$.H_{2}O.$

$4\mathrm{.}6$ Design a Lapple conventional cyclone to function as a precleaner. The particles have a density of $1250k\frac{g}{m^3},$ and have the same size distribution as in Problem $4\mathrm{.}4,$ but the air is at $150F$ and $1$ atm, and is flowing at $2000$acfm. The cyclone need be only $65-75\%$ efficient. Specify your final choice of body diameter and the corresponding efficiency.

Need help with $4\mathrm{.}6$ however included required info from $4\mathrm{.}4$ disregard $4\mathrm{.}5$