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On your first day of work at the plant, a worker behind you drops a bag of fumed silica and the powder instantly disperses into the air around you in a hazy cloud. While carefully not inhaling, you ask him how much silica was in the bag. It contained 100 kg of monodisperse silica spheres with a density of 𝜌 = 2.5 g/cc and a size of d = 10 μm. A ceiling fan spins overhead, producing an overall shear rate in the air of 5 s^(-1). If we can assume that the particles disperse instantly when dropped, and then begin to aggregate by fluid shear stresses immediately, what will be the number concentra
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concentration of particles, in cm^(-3), after 5 minutes in a closed room measuring 8 meters on each side?
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