Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN: 9781259696527
Author: J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher: McGraw-Hill Education
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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?

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Step 1

Given:

 

The flow rate of the air stream, Q = 10 m3/min

The initial and final concentration of the microorganism in this airstream is:

Chemical Engineering homework question answer, step 1, image 1

Fermentation period, t = 100 h

The thickness of the mesh filter, x1 = 15 cm

Step 2

The number of particles at initial as well as at the final conditions are calculated as:

Chemical Engineering homework question answer, step 2, image 1

Step 3

Calculate the value of constant K that relates this number of microorganisms to the mesh depth as:

Chemical Engineering homework question answer, step 3, image 1

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