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mass transfer in multiphase systems - Greenleaf University

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MASS TRANSFER<br />

R IN MULTIPHASE SYSTEMS: VOLATILE<br />

ORGANIC<br />

COMPOUND<br />

REMOVAL IN THREE-PHASE SYSTEMS<br />

v<br />

dS<br />

<br />

S<br />

<br />

V<br />

<br />

<br />

t<br />

<br />

<br />

V<br />

<br />

<br />

v dV<br />

<br />

<br />

<br />

<br />

v dV<br />

0<br />

<br />

<br />

dV t<br />

(113)<br />

(114)<br />

S<strong>in</strong>ce the volume <strong>in</strong>tegral is zero, the <strong>in</strong>side is zero<br />

<br />

<br />

t<br />

<br />

vdV<br />

0<br />

(115)<br />

This matches case III<br />

Figure 18. All Equations are Equivalent.<br />

Us<strong>in</strong>g Path B <strong>in</strong> Figure<br />

18:<br />

<br />

<br />

<br />

v<br />

<br />

<br />

v<br />

v<br />

<br />

(116)<br />

S<strong>in</strong>ce:<br />

D<br />

<br />

v<br />

<br />

Dt t<br />

(117)<br />

Now us<strong>in</strong>g Path D <strong>in</strong> Figure 18:<br />

56

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