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ITK-234 Termodinamika Teknik Kimia II
Dicky Dermawanwww.dickydermawan.net78.net
VLE Calculations for Nonideal Mixtures
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Modified Raoult’s Law K-value MethodVLE using Equation of States
Dicky Dermawan
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satkkkkk PxPy
TR
PPVexp
ˆ
ˆ satkk
satk
kk
1ˆˆ satkk
Incorporation of fugacity and activity coefficient to vle criteria results:
Modified Raoult’s Law:
where
However, at low pressure (up to at least 1 bar):
The Poynting Factor 1
satkkkk PxPy
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Modified Raoult’s Law:Wilson Equation for calculating
a. Prepare a P-x-y diagram at 80oC
b. Prepare a t-x-y diagram at 101,33 kPa
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Modified Raoult’s Law:Wilson Equation for calculating (Cont’)
Use your diagram to answer there questions:
Given P = 70 kPa, T = 80oC & overall composition, z1=30%
Find the fraction of system which is liquid (L) & vapor (V) and their respective compositions xi & yi
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Modified Raoult’s Law:Wilson Equation for calculating
a. Prepare a P-x-y diagram at 80oC
b. Prepare a t-x-y diagram at 101,33 kPa
![Page 7: ITK-234 Termodinamika Teknik Kimia II](https://reader034.vdocuments.mx/reader034/viewer/2022051316/568152d3550346895dc0edf4/html5/thumbnails/7.jpg)
Modified Raoult’s Law:Wilson Equation for calculating (Cont’)
Use your diagram to answer there questions:
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Modified Raoult’s Law:Wilson Equation for calculating
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Modified Raoult’s Law:Wilson Equation for calculating
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Modified Raoult’s Law:Wilson Equation for calculating
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Modified Raoult’s Law:Wilson Equation for calculating
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Modified Raoult’s Law:Wilson Equation for calculating
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Modified Raoult’s Law:Wilson Equation for calculating
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Modified Raoult’s Law:Wilson Equation for calculating
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Modified Raoult’s Law:Wilson Equation for calculating
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Modified Raoult’s Law:NRTL Equation for calculating
a. Prepare a P-x-y diagram at 80oC
b. Prepare a t-x-y diagram at 101,33 kPa
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Modified Raoult’s Law:NRTL Equation for calculating
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VLE Calculation Using No Diagram
Answer the questions (a) through (e) from12.6 to 12.13 but don’t use the phase diagram to obtain the answers
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Estimating Azeotrophic Condition,Use No Diagram
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K-Value Method:Using De Priester Charts for light hidrocarbons
satkkkkk PxPy )P,T(f
P
P
x
yK
k
satkk
k
kk
iii xKy
The nomographs K = f(T,P) prepared by De Priester provide easy application of this approach to practical problem
TR
PPVexp
ˆ
ˆ satkk
satk
kk
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K-Value Method:
Using De Priester Charts for light hidrocarbons
HighTemperatureRange
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K-Value Method:
Using De Priester Charts for light hidrocarbons
LowTemperatureRange
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Type of Phase Equilibria CalculationsBUBL P calculation:
Given T & liquid composition xi,Find the bubble point Pb & vapor composition
DEW P calculation:Given T & vapor composition yi,Find the bubble point Pb & vapor composition
0xK ii
Assume P, find Ki satisfying:
0K
y
i
i
Assume P, find Ki satisfying:
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Type of Phase Equilibria Calculations
BUBL t calculation:Given P & liquid composition xi,Find the bubble point Pb & vapor composition
DEW t calculation:Given P & vapor composition yi,Find the bubble point Pb & vapor composition
0xK ii
Assume t, find Ki satisfying:
0K
y
i
i
Assume t, find Ki satisfying:
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K-Value Method:Using De Priester Charts for light hidrocarbons
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K-Value Method:Using De Priester Charts for light hidrocarbons
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Type of Phase Equilibria Calculations
FLASH calculation:Given P, T & overall composition,Find the fraction of system which is liquid (L) & vapor (V) and their respective compositions xi & yi
1V1K1
zx
i
ii
Make sure P located between Pb dan Pd, i.e.Perform BUBL P for zi =xi andPerform DEW P for zi = yi
Find Ki ; assume V satisfying:or:
or: The General Solution Procedure
1
V1K1
Kzy
i
iii
0
V1K1
)1K(z
i
ii
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K-Value Method:Using De Priester Charts for light hidrocarbons
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K-Value Method:Using De Priester Charts for light hidrocarbons
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K-Value Method:Using De Priester Charts for light hidrocarbons