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mass transfer in multiphase systems - Greenleaf University

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MASS TRANSFER IN MULTIPHASE SYSTEMS: VOLATILE ORGANIC COMPOUND<br />

REMOVAL IN THREE-PHASE SYSTEMS<br />

With the Henry’s Law constants and partition coefficients available, some <strong>in</strong>terest<strong>in</strong>g<br />

predictions can be made, e.g., if the ratio H A /k D is large, mean<strong>in</strong>g a volatile compound with small<br />

aff<strong>in</strong>ity towards the solid, good separation is predicted and the converse is also true. The semivolatiles<br />

like PCBs are poor candidates for the stripp<strong>in</strong>g process based on their large partition<br />

coefficients and small Henry’s Law constants. Exam<strong>in</strong><strong>in</strong>g Eq. 43 it is seen that the so-called<br />

stripp<strong>in</strong>g factor is similar to resistances, a <strong>mass</strong> <strong>transfer</strong> and an equilibrium resistance. It is<br />

<strong>in</strong>terest<strong>in</strong>g to note that the partition coefficient is a factor of the <strong>mass</strong> <strong>transfer</strong> resistance.<br />

Λ<br />

A<br />

<br />

1<br />

s<br />

1<br />

<br />

PK aM k H<br />

oa<br />

s s D A<br />

(42)<br />

Of course, with no stripp<strong>in</strong>g air, the chief assumption is no longer valid and there is no net <strong>mass</strong><br />

<strong>transfer</strong> s<strong>in</strong>ce:<br />

X<br />

A<br />

X<br />

(43)<br />

i<br />

A<br />

In addition the ratio of the two stripp<strong>in</strong>g factors is <strong>in</strong>structive. The relation <strong>in</strong> Eq. 44 converges<br />

to 1.0 as the particle size approaches zero and/or for very small k D ’s.<br />

lim 1<br />

(44)<br />

D p 0<br />

Therefore the methods with<strong>in</strong> this paper are useful <strong>in</strong> assess<strong>in</strong>g stripp<strong>in</strong>g viability <strong>in</strong><br />

solid-liquid-gas <strong>systems</strong>. The ratio shown <strong>in</strong> Eq. 44 could be used to estimate the time required<br />

for a solids conta<strong>in</strong><strong>in</strong>g system compared to a known liquid system for example.<br />

38

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