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

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When A=B<br />

2<br />

ln Ax ,<br />

1<br />

2<br />

ln Ax<br />

2<br />

2<br />

1<br />

The above equations are known <strong>as</strong> Margules suffix equation.<br />

Wilson Equation:<br />

Wilson proposed the following equation f<strong>or</strong> activity coefficients in binary solution<br />

12<br />

21 <br />

ln<br />

1 lnx1<br />

12<br />

x2<br />

x2<br />

<br />

x1<br />

12<br />

x2<br />

21x1<br />

x2<br />

<br />

ln<br />

2<br />

ln<br />

<br />

<br />

12<br />

21<br />

x2 21x1<br />

x1<br />

<br />

x1<br />

12<br />

x2<br />

21x1<br />

x2<br />

<br />

Wilson equation have two adjustable parameters 12<br />

component molar volumes.<br />

<br />

<br />

12<br />

21<br />

V2 11 2<br />

12<br />

<br />

V<br />

1<br />

<br />

V<br />

12<br />

<br />

exp<br />

RT<br />

12<br />

<br />

exp<br />

RT<br />

V<br />

<br />

V<br />

1<br />

V<br />

<br />

V<br />

a<br />

exp<br />

RT<br />

V1 22 1<br />

21<br />

2<br />

2<br />

<br />

<br />

<br />

a<br />

exp<br />

RT<br />

V1 and V2 – molar volumes of pure liquids<br />

- Energies of interaction between molecule<br />

<br />

<br />

<br />

<br />

<br />

and 21<br />

. These are related to pure<br />

Wilson equation suffers main d<strong>is</strong>advantages which <strong>is</strong> not suitable f<strong>or</strong> maxima <strong>or</strong> minima<br />

on ln versus x curves.<br />

Cons<strong>is</strong>tency of VLE data<br />

Gibbs duhem equation in terms of thermal cons<strong>is</strong>tency<br />

x<br />

1<br />

d ln <br />

dx<br />

1<br />

1<br />

<br />

( 1<br />

d ln <br />

x1)<br />

dx<br />

1<br />

2<br />

0<br />

Plot of logarithmic activity coefficients Vs x1 of component in binary solution

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