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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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d ln<br />

xi<br />

dx<br />

1<br />

F<strong>or</strong> binary system<br />

d ln<br />

1 d ln<br />

x1<br />

x2<br />

dx dx<br />

1<br />

i<br />

0 ----------------(9)<br />

1<br />

2<br />

0 ---------(10)<br />

x d x d ln<br />

0 -----------(11)<br />

1<br />

ln 1 2 2<br />

Equation (9) (10) and (11) are Gibbs Duhem equation in terms of activity coefficients<br />

F<strong>or</strong> ideal vap<strong>or</strong><br />

f i Pi<br />

From equation 5<br />

d ln Pi<br />

xi<br />

0 ------------(13)<br />

dx<br />

F<strong>or</strong> binary system<br />

1<br />

d ln P1<br />

d ln P2<br />

x1 x2<br />

0 ----------(14)<br />

dx dx<br />

1<br />

1<br />

x d P x d ln P 0 ---------------(15)<br />

1<br />

ln 1 2 2<br />

Equation (13) (14) and (15) are Gibbs Duhem equation in terms Partial pressure.<br />

F<strong>or</strong> ideal vap<strong>or</strong><br />

P1 y1PT<br />

, P2 y2<br />

PT<br />

x1d<br />

ln( y1PT<br />

) x2d<br />

ln( y2<br />

PT<br />

) 0<br />

x1d<br />

ln y1<br />

x1d<br />

ln y2<br />

( x1<br />

x2<br />

) d ln PT<br />

0<br />

x x 1<br />

1<br />

x d<br />

1<br />

2<br />

ln y1<br />

2<br />

x1d<br />

ln y d ln PT<br />

0<br />

dP<br />

<br />

x1d<br />

ln y1<br />

x2d<br />

ln y<br />

P<br />

2

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