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Section 3 VOC Controls - US Environmental Protection Agency

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where<br />

M = M f<br />

c c I (1.10)<br />

M c, M ccI = amounts of carbon required for continuous or intermittent control of a<br />

given source, respectively (lbs)<br />

f = extra capacity factor (dimensionless)<br />

This equation shows the relationship between M c and M CI . <strong>Section</strong> 1.2.3 shows how to calculate<br />

these quantities.<br />

The factor, f, is related to the number of beds adsorbing (N A ) and desorbing (N D ) in a<br />

continuous system as follows:<br />

f<br />

ND<br />

= 1 +<br />

N<br />

(1.11)<br />

(Note: N A is also the number of beds in an intermittent system that would be adsorbing at any<br />

given time. The total number of beds in the system would be N A + N D .)<br />

It can be shown that the number of desorbing beds required in a continuous system (N D )<br />

is related to the desorption time ( θ D ), adsorption time ( θ A ), and the number of adsorbing beds,<br />

as follows:<br />

⎛ N<br />

θD ≤ θA<br />

⎜<br />

⎝ N<br />

1-14<br />

D<br />

A<br />

A<br />

⎞<br />

⎟ (1.12)<br />

⎠<br />

(Note: 2 D is the total time needed for bed regeneration, drying, and cooling.)<br />

For instance, for an eight-hour adsorption time, in a continuously operated system of seven beds<br />

(six adsorbing, one desorbing) 2 D would have to be 1-1/3 hours or less (8 hours/6 beds). Otherwise,<br />

additional beds would have to be added to provide sufficient extra capacity during desorption.

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