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

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P<br />

ln<br />

P<br />

2<br />

1<br />

P2<br />

<br />

ln<br />

<br />

760<br />

<br />

1<br />

<br />

R T1<br />

<br />

1<br />

T<br />

2<br />

<br />

<br />

<br />

41.<br />

27 10<br />

8.<br />

314<br />

P2 634.<br />

3mmHg<br />

3<br />

1<br />

<br />

373<br />

<br />

1 <br />

368 <br />

<br />

Ph<strong>as</strong>e Equilibrium in Multi component system<br />

An heterogeneous system contains two <strong>or</strong> m<strong>or</strong>e ph<strong>as</strong>es and each ph<strong>as</strong>e contains two <strong>or</strong><br />

m<strong>or</strong>e components in different prop<strong>or</strong>tions. Theref<strong>or</strong>e it <strong>is</strong> necessary to develop ph<strong>as</strong>e<br />

equilibrium f<strong>or</strong> multi component system in terms of chemical potential.<br />

The partial molar free energy <strong>or</strong> chemical potential <strong>is</strong> given <strong>as</strong><br />

G<br />

<br />

i<br />

Gi<br />

<br />

ni<br />

T , P,<br />

n j<br />

F<strong>or</strong> a system to be in equilibrium with respect to m<strong>as</strong>s transfer the driving f<strong>or</strong>ce f<strong>or</strong><br />

m<strong>as</strong>s transfer( Chemical potential) must have unif<strong>or</strong>m values f<strong>or</strong> each component in<br />

all ph<strong>as</strong>es.<br />

Consider a heterogeneous system cons<strong>is</strong>ts of ph<strong>as</strong>e , , and<br />

containing various components 1,2,3-------C , that constitutes the system.<br />

k<br />

i<br />

The symbol represents chemical potential of component “i”in ph<strong>as</strong>e k.<br />

At constant temperature and pressure, f<strong>or</strong> the criterion f<strong>or</strong> equilibrium <strong>is</strong><br />

dG=0 ----(1)<br />

Free energy f<strong>or</strong> multi component system given by the expression<br />

SdT VdP dG ------(2)<br />

<br />

i i dn<br />

At constant Temperature and pressure<br />

dG ----(3)<br />

i i dn<br />

Comparing equation 1 and 3<br />

0<br />

<br />

i i dn<br />

F<strong>or</strong> multi component system<br />

C<br />

<br />

<br />

i1 k <br />

<br />

k k<br />

i i dn<br />

0<br />

Expanding the above equation

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