How thick would be the cake on an AC filter with the size of

How thick would be the cake on an AC filter with the size of 25in x 30in that filters the entire air volume in a house with area of 164 m^2 and room height of 2.2m with 98% efficiency if it operates long enough to cycle the entire volume of air in the house through the filter only once? Consider that the AC unit operates at a flow of 100L/s; the density of the cake is 2.5 g/mL; and the concentration of the particles is 800 micrograms/m^3 because the owners left the window open after a dust storm. Assume 10% of the particles settled after the storm and are not available for filtering.

Solution

28 in