The Gamma/Phi Formulation of VLE

i i iˆ ˆf y P

lˆ

li i

ˆ ˆf f

i i i i iˆy P x f i=1, 2,…, N

li i i if̂ x f

i i i i iy , , ,

l satsat sat i i

i i iV P P

f P exp

i i i pRT

sati i i i iy P x P i=1 2 N i i i i iy P x P i 1, 2,…, N

l sati ii

V P Pˆ where i

i sati

expˆ RT

where

Bubblepoint and DewPoint Calculations

sati i i i iy P x P i=1, 2,…, N

i NT ,P , y , y , , y 1 2 1

i NT x x x 1 2 1 i NT , , x , x , , x 1 2 1

satiP f T

Bubblepoint and DewPoint Calculations

t 1 tsati i i

ii

x Py (12 9)

P

i iy =1 sati i i

i

x P1

P

i ii sat

i i

y Px (12 10)

P

ii x 1 i isat

i i

y P1

P

sati i ix P

P (12 11)

i( )

1i i

sati i

1P (12 12)y

P

Bubblepoint and DewPoint Calculations

satj sat sat

i i i i j

PP (12 13)x P P

i i i i j

i

x P P

sat

sat jPy sat ji ij sat

i i i

PyP P (12 14)P

jjsat

j j

BT C (12 15)

A ln P

sat ii i

i

BT C (12 16)

A ln P