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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xA- Mole fraction of component A<br />
F<strong>or</strong> binary solution (F<strong>or</strong> component A and B)<br />
We know that PT PA<br />
PB<br />
-------(1)<br />
PA PVAx<br />
A , PB PVB<br />
xB<br />
Substitute PA and PB in equation 1<br />
P P x P x<br />
T VA A VB B<br />
1 x A xB<br />
, 1<br />
x A xB<br />
PT PVAx<br />
A PVB<br />
( 1<br />
x A )<br />
P P P x P --------(2)<br />
x<br />
T<br />
A<br />
<br />
VA VB A VB<br />
P<br />
P<br />
T<br />
VA<br />
P<br />
VB<br />
P<br />
VB<br />
Assuming the vap<strong>or</strong> ph<strong>as</strong>e <strong>is</strong> also ideal<br />
PA<br />
PVAx<br />
A<br />
y A <br />
PT<br />
PT<br />
Substituting PT <strong>from</strong> equation (2)<br />
y<br />
A<br />
<br />
P<br />
VA<br />
x<br />
PVA PVB<br />
x A PVB<br />
A<br />
Dividing numerat<strong>or</strong> and denominat<strong>or</strong> by PVB<br />
y<br />
y<br />
A<br />
A<br />
<br />
P<br />
<br />
<br />
P<br />
<br />
VA<br />
VB<br />
P<br />
P<br />
VA<br />
VB<br />
x<br />
A<br />
<br />
1<br />
<br />
x<br />
A 1<br />
<br />
x<br />
A<br />
1x<br />
1<br />
A<br />
The above equation relates x and y<br />
<strong>is</strong> known <strong>as</strong> relative volatility of component A with respect to component B
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