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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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50 <br />

<br />

ln f ln<br />

9.<br />

86 10<br />

1 <br />

f=26.744 bar<br />

f 26.<br />

744<br />

0.<br />

5348<br />

P 50<br />

50 1<br />

<strong>Fugacity</strong> f<strong>or</strong> liquids and solids<br />

General expression f<strong>or</strong> fugacity <strong>is</strong><br />

P<br />

3<br />

11.<br />

4110<br />

5<br />

2 2<br />

( 50 1<br />

)<br />

2<br />

1<br />

ln f VdP<br />

RT 1<br />

F<strong>or</strong> solids and liquids at constant temperature the specific volume does not change<br />

appreciably with pressure, theref<strong>or</strong>e the above equation <strong>is</strong> integrated by taking volume<br />

constant. Integrating the above equation <strong>from</strong> condition 1 to 2<br />

f2<br />

ln f <br />

f1<br />

f<br />

V<br />

RT<br />

V<br />

P2<br />

<br />

P1<br />

dP<br />

P <br />

2<br />

ln 2 P1<br />

f1<br />

RT<br />

Problem:<br />

Liquid chl<strong>or</strong>ine at 25 o C h<strong>as</strong> a vapour pressure of 0.77Mpa, fugacity 0.7Mpa and Molar<br />

volume 5.1x 10 -2 m 3 /kg mole. What <strong>is</strong> the fugacity at 10 Mpa and 25 o C<br />

P<br />

1<br />

P<br />

2<br />

6<br />

0.<br />

77 10<br />

Pa<br />

1010<br />

f<br />

V<br />

6<br />

Pa<br />

P <br />

2<br />

ln 2 P1<br />

f1<br />

RT<br />

f=0.846Mpa<br />

f<br />

1<br />

6<br />

0. 7 10<br />

Pa T 298K<br />

R 8314<br />

J<br />

Kgmole

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