$4$ A $0\mathrm{.}1m$ diameter high$-$efficiency multi$-$cyclone with $18$ individual cyclones has been suggested for fly ash removal, which has an average particle diameter of $2\mathrm{.}5$ microns and a density of $980k\frac{g}{m^3}.$ For an exhaust stream with a $27\mathrm{.}0\frac{m^3}{s}$ total flowrate and a $1\mathrm{.}65{10}^{-5}Pa$ s viscosity, determine the following.

Calculate the flowrate $(\frac{m^3}{s})$ each individual cyclone will treat.

Determine the effective number of turns for each of the $0\mathrm{.}1m$ diameter multi$-$cyclone.

Calculate the fly ash cut diameter $($microns$)$ for this multi$-$cyclone configuration.