Dyson vacuum cleaner uses cyclone to remove coarse dirt. It is considered superior to vacuum cleaners using filter bags

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Dyson vacuum cleaner uses cyclone to remove coarse dirt. It is
considered superior to vacuum cleaners using filter bags [20
pts]The need for portability restricts D2 to 12 cm, what should be
the suction rate of the vacuum (Qg) in m3/s to achieve 50 % removal
of 10-micron particles assuming a standard cyclone design. The
average density of the dirt is 3100 Kg/m3 and the air viscosity is
18.5 x 10-6 Pa-s. Please clearly list (i) Given, (ii) Find, (iii)
assumptions, (iv) equation (if any) and (v) solution.