A gas mask has a filter consisting of spherical particles of gas adsorbent with diameter 3 mm. The filter is cylindrical, with a diameter of 50 mm and a thickness of 50 mm. Assume that the wearer breathes in 1 liter of air in 1 second. The air has a density of 1.2 kg/m3 and viscosity 1.8105 Pa s. The filter has a porosity of 0.4.

Calculate:

the Reynolds number of the air flow through the filter

the pressure gradient of the air in the filter

the pressure drop of the air in the filter.

Is the pressure drop dominated by laminar (viscous) forces or turbulent forces?