A 15-cm-thick mesh filter is being used to filter uniformly sized microorganisms from a 10 m3/minute air stream, effectively reducing the concentration from 200 microorganisms/m3 to 10/m3 over a 100-hour fermentation period. New regulations mandate a reduction to 1/m3 . If the air velocity and ambient conditions do not change, what depth of the same type of filter is required?
A 15-cm-thick mesh filter is being used to filter uniformly sized microorganisms from a 10 m3/minute air stream, effectively reducing the concentration from 200 microorganisms/m3 to 10/m3 over a 100-hour fermentation period. New regulations mandate a reduction to 1/m3 . If the air velocity and ambient conditions do not change, what depth of the same type of filter is required?
Given:
The flow rate of the air stream, Q = 10 m3/min
The initial and final concentration of the microorganism in this airstream is:
Fermentation period, t = 100 h
The thickness of the mesh filter, x1 = 15 cm
The number of particles at initial as well as at the final conditions are calculated as:
Calculate the value of constant K that relates this number of microorganisms to the mesh depth as:
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