Fugacity: It is derived from Latin, expressed as fleetness or escaping ...
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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differentiating with respect to x1<br />
dG e<br />
dx<br />
1<br />
<br />
RT x<br />
<br />
1<br />
d ln<br />
dx<br />
1<br />
1<br />
ln<br />
From Gibbs Duhem Equation<br />
d ln<br />
1 d ln<br />
2<br />
x1<br />
x2<br />
0<br />
dx dx<br />
dG e<br />
dx<br />
dx<br />
1<br />
dG e<br />
dx<br />
1<br />
dG e<br />
x1<br />
1<br />
<br />
x1<br />
0<br />
1<br />
dG<br />
1<br />
<br />
RT ln<br />
1 ln<br />
<br />
dx dx<br />
2<br />
RT<br />
1<br />
1<br />
2<br />
ln ln<br />
<br />
1<br />
<br />
RT ln<br />
<br />
e<br />
RT<br />
<br />
1<br />
2<br />
x1<br />
1<br />
x1<br />
0<br />
<br />
<br />
<br />
<br />
ln<br />
<br />
1<br />
2<br />
2<br />
dx<br />
dx<br />
<br />
dx<br />
<br />
1<br />
2<br />
1<br />
1<br />
x<br />
<br />
<br />
<br />
2<br />
d ln<br />
dx<br />
1<br />
2<br />
ln<br />
e<br />
The two limits indicates pure component f<strong>or</strong> which G 0 , where LHS <strong>is</strong> zero f<strong>or</strong> both<br />
limits.<br />
We can write<br />
x1<br />
1<br />
1 <br />
0 ln<br />
dx<br />
x 0<br />
2 <br />
1<br />
1<br />
Th<strong>is</strong> can be checked graphically. Net area should be equal to zero f<strong>or</strong><br />
cons<strong>is</strong>tency(Area=0).<br />
2<br />
dx<br />
dx<br />
2<br />
1
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