l] The pressure drop ap across an air lter depends on tlte

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l] The pressure drop ap across an air filter depends on tlte volumflIie flow rate Q, theair density p, the thickness fie, dimension along the flow direction] of the filter H,and the filter porosity {3, which is defined to be the 1trolurne fiaction mupied by filter material. Perform a dimensional analysis of this problem, and express a; as afunction of the other relevant parameters. Next, based on the experimental data tabulated below for air at 10°C and 1 atm flowing fltrougb a filter with H = 3 cm and o = 45%, detenuine the pressure drop for air at the same temperature and pressureflowing through a filter with the same or if H = 3 cut and Q = 500 cm3i’s. _____M