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Fugacity: It is derived from Latin, expressed as fleetness or escaping ...

Fugacity: It is derived from Latin, expressed as fleetness or escaping ...

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<strong>Fugacity</strong> <strong>is</strong> plotted against various reduced pressure at various reduced temperature<br />

Using Residual Volume(): The residual volume <strong>is</strong> the difference between actual<br />

volume (V) and the volume occupied by one mole of g<strong>as</strong> under same temperature and<br />

RT RT<br />

pressure<br />

V , V <br />

P<br />

P<br />

RT <br />

dG <br />

dP<br />

RTd ln f<br />

P <br />

dP <br />

RT dP RTd ln f<br />

RT P <br />

<br />

dP d ln<br />

RT <br />

f<br />

P<br />

<br />

<br />

<br />

f <br />

ln dP<br />

P RT<br />

Problem<br />

F<strong>or</strong> <strong>is</strong>opropanol vap<strong>or</strong> at 200 o C the following equation <strong>is</strong> available<br />

Z=1- 9.86 x 10 -3 P-11.45 x 10 -5 P 2<br />

Where P <strong>is</strong> in bars. Estimate the fugacity at 50 bars and 200 o C<br />

PV<br />

3<br />

5<br />

2<br />

Z 1 9.<br />

86 10<br />

P 11.<br />

4110<br />

P<br />

RT<br />

V<br />

<br />

ln f<br />

ln f<br />

ZRT<br />

p<br />

<br />

<br />

1<br />

RT<br />

1<br />

RT<br />

<br />

<br />

P<br />

<br />

1<br />

P<br />

<br />

1<br />

RT<br />

( 1<br />

P<br />

VdP<br />

<br />

9.<br />

86 10<br />

3<br />

RT<br />

( 1<br />

9.<br />

86 10<br />

P<br />

3<br />

3<br />

9.<br />

86 10<br />

dP <br />

P 11.<br />

4110<br />

5<br />

P 11.<br />

4110<br />

50 50<br />

50<br />

dp<br />

5<br />

ln f<br />

<br />

11.<br />

4110<br />

PdP<br />

1<br />

p<br />

1<br />

1<br />

5<br />

P<br />

2<br />

)<br />

2<br />

P ) dP

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