Page 131 - Chemical process engineering design and economics

Process Circuit Analysis 115

Solving Equations 3.3.29 and 3.3.30 simultaneously for yL,j and yv,i, the
2 2
mole fraction for the i th component in the liquid,

(3.3.31)
m 2L
K 2jj ——— + —— —
ni[ mi

and the mole fraction in the vapor phase,
K
2,i Yu
(3.3.32)
m 2V m 2L
K 2. ——————

If Equation 3.3.29 is summed up for all components, the total mole balance
is

mi=m2v + m 2L (3.3.33)
Solving Equation 3.3.33 for m 2L/mi and after substituting the result into
Equations 3.3.31 and 3.3.32, the equations become
yu
y 2L,i = ————————————— (3.3.34)

and

Y2v,i = —————————————— (3.3.35)

After summing up Equations 3.3.34 and 3.3.35,
yu
I Y2L ;i = I ——————————————— = 1 (3.3.36)
(K y - I)(m 2 v/m0+l
and

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