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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Limiting c<strong>as</strong>es: F<strong>or</strong> infinite dilution of component when at x1=0 a tangent <strong>is</strong> drawn at<br />
x1=0 will give the partial molar property of component 1 at infinite dilution M ) and<br />
tangent <strong>is</strong> drawn at x2=0 <strong>or</strong> x1=1 will give infinite dilution M ) of component 2<br />
M 2<br />
<br />
Problem<br />
The Gibbs free energy of a binary solution <strong>is</strong> given by<br />
G x 150x<br />
x x ( 10x<br />
x )<br />
100 1<br />
2 1 2 1 2<br />
cal<br />
mol<br />
(a) Finnd the partial molar free energies of the components at x2=0.8 and also at infinite<br />
dilution.<br />
(b) Find the pure component properties<br />
Sol: G x 150x<br />
x x ( 10x<br />
x )<br />
100 1<br />
2 1 2 1 2<br />
Substitute 1<br />
3<br />
x2 1 x and simplifying<br />
G 9x1<br />
8x1<br />
49x1<br />
150<br />
G<br />
1<br />
1<br />
G<br />
<br />
G ( 1<br />
x <br />
<br />
<br />
<br />
1)<br />
x1<br />
<br />
G<br />
2<br />
27x1<br />
16x1<br />
49<br />
x<br />
G<br />
G<br />
G<br />
1<br />
2<br />
2<br />
3<br />
2<br />
2<br />
18x1 35x1<br />
16x1<br />
101<br />
G<br />
<br />
G x <br />
<br />
<br />
1<br />
x1<br />
<br />
3<br />
1<br />
18x<br />
8x<br />
2<br />
1<br />
150<br />
cal<br />
mol<br />
To find the partial molar properties of components 1 and 2<br />
x2=0.8, x1=1-0.8 = 0.2<br />
( 2<br />
<br />
( 1
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