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INTRODUCTION TO CHEMICAL
PROCESS SIMULATORS
A. Carrero, N. Quirante, J. Javaloyes
October 2016
DWSIM Chemical Process Simulator
A. Carrero , N. Quirante & J. Javaloyes
Introduction to Chemical Process Simulators
2
Contents
Monday, October 3rd 2016
 Introduction to Sequential – Modular Steady State Process
Simulators
 Get used to working with DWSIM and COCO
Monday, October 10th 2016
 Simulation of Chemical Reactors
Monday, October 17th 2016
 Simulation of Distillation Columns
Monday, October 24th 2016
 Case studies
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
3
Tips to introduce inlet data in DWSIM
1. Introduce the composition and accept the changes
2. Introduce the rest of the inlet information by pressing Enter after writing each data
Pressure
Temperature
Mass o molar flow
3. Review the thermodynamic model
4. Review the units
For any simulator!
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
4
Reactions
• Conversion: specify the conversion (%) of the limiting reagent as a
function of temperature.
• Equilibrium: specify the equilibrium constant (K) as a function of
temperature, a constant value or calculated from the Gibbs free energy
reaction (DG/R).
• Kinetic: specify the frequency factor (A) and the activation energy (E)
for the direct reaction (optionally for the reverse reaction), including the
orders of reaction of each component.
• Heterogeneous catalytic: specify the kinetic terms of the kinetic
reaction as well as the activation energy, frequency factor, and
component exponent terms of the adsorption kinetics.
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
5
Conversion Reaction
• It is assumed that the user has information regarding the conversion of
one of the reactants as a function of temperature.
• By knowing the conversion and the stoichiometric coefficients, the
quantities of the components in the reaction can be calculated.
• Considering the following reaction:
where a, b and c are the stoichiometric coefficients of reactants and
product, respectively. A is the limiting reactant and B is in excess. The
amount of each component at the end of the reaction can be calculated
from the following stoichiometric relationships:
𝑎𝐴 + 𝑏𝐵 → 𝑐𝐶
𝑁𝐴 = 𝑁𝐴𝑜 − 𝑁𝐴𝑜 𝑋 𝐴 𝑁 𝐵 = 𝑁 𝐵𝑜 −
𝑏
𝑎
𝑁𝐴𝑜 𝑋 𝐴 𝑁𝐶 = 𝑁𝐶𝑜 +
𝑐
𝑎
𝑁𝐴𝑜 𝑋 𝐴
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
6
Conversion Reaction
DWSIM COCO
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
7
Equilibrium Reaction
• The quantity of each component at the equilibrium is related to
equilibrium constant by the following relationship:
where K is the equilibrium constant, q is the basis of components (partial
pressure in the vapor phase or activity in the liquid phase), ν is the
stoichiometric coefficient of component j and n is the number of
components in the reaction.
• The equilibrium constant can be obtained:
• Considering it as a constant.
• Considering it as a function of temperature.
• Calculating it automatically from the Gibbs free energy at the
temperature of the reaction.
𝐾 =
𝑗=1
𝑛
𝑞 𝑗
𝜐 𝑗
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
8
Equilibrium Reaction
DWSIM COCO
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
9
Kinetic Reaction
• It is defined by the parameters of the equation of Arrhenius (frequency
factor and activation energy) for both the direct order and for reverse
order.
• Considering the following kinetic reaction:
• The reaction rate for the A component can be defined as:
where:
• The kinetic reactions are used in Plug-Flow Reactors (PFR) and in
Continuous-Stirred Tank Reactors (CSTR).
𝑎𝐴 + 𝑏𝐵 → 𝑐𝐶 + 𝑑𝐷
𝐹𝐴 = 𝐹𝐴𝑜 +
𝑉
𝑟𝐴 𝑑𝑉
𝑟𝐴 = 𝑘 𝐴 𝐵 − 𝑘′
[𝐶][𝐷]
𝑘 = 𝐴 𝑒𝑥𝑝(−𝐸/𝑅𝑇) 𝑘′ = 𝐴′ 𝑒𝑥𝑝(−𝐸′/𝑅𝑇)
• FA is the molar flow of the A component.
• V is the reactor volume.
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
10
Kinetic Reaction
DWSIM COCO
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
11
Heterogeneous Catalytic Reaction
• It is described the rate of catalytic reactions involving solid catalyst.
• Considering the following reaction:
• Depending on the reaction mechanism, the reaction rate expression can
be generally written as:
where kf and kr are the rate constants of the forward and reverse kinetic
rate expressions, K is the absorption rate constant, and M is the number of
absorbed reactants and products plus absorbed inert species.
𝑎𝐴 + 𝑏𝐵 → 𝑐𝐶
𝑟 =
𝑘 𝑓 𝑖=1
𝑅𝑒𝑎𝑐
𝐶𝑖
𝛼 𝑖
− 𝑘 𝑟 𝑗=1
𝑃𝑟𝑜𝑑
𝐶𝑗
𝛽 𝑗
1 + 𝑘=1
𝑀
𝐾𝑘 𝑔=1
𝑀
𝐶𝑔
𝛾 𝑘𝑔
𝑛
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
12
Reactions
• Chemical reactions in DWSIM are managed through the Chemical
Reactions Manager and in COCO through Settings – Reaction packages .
• The user can define various reactions which are grouped in Reaction
Sets. This reaction sets list all chemical reaction, and the user must
activate only those we wants to become available for one or more
reactors.
• In the reaction set configuration window we define the reaction
ordering.
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
13
Reactors
• Conversion Reactor
• Equilibrium Reactor
• Gibbs Reactor
• CSTR
• PFR
DWSIM COCO
CONVERSION
GIBBS REACTOR
EQUILIBRIUM
CSTR
PFR
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
14
Reactors
Reaction type Reactor type
Conversion Conversion
Equilibrium Equilibrium, Gibbs
Kinetic PFR, CSTR
Heterogeneous catalytic PFR, CSTR
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
15
Reactors
Conversion Reactor
• The conversion reaction is a vessel in which conversion reactions are
performed.
• You can only attach reaction sets that contain conversion reactions.
• It should be specified the stoichiometry of all reactions and the
conversion of the limiting reactant.
• This reactor calculates the composition of the outlet streams.
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
16
Reactors
Equilibrium Reactor
• The equilibrium reactor is a vessel which models equilibrium reactions.
• The outlet streams of the reactor are in a state of the chemical and
physical equilibrium.
• The reaction set can contain an unlimited number of equilibrium
reactions, which are simultaneously or sequentially solved.
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
17
Reactors
Gibbs Reactor
• Gibbs reactors can work with equilibrium reactions or without any
reaction information (Gibbs minimization mode).
• In this case, it will respect the element mass balance and try to find a
state where the Gibbs free energy will be at a minimum.
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
18
Reactors
CSTR
• The CSTR (Continuous-Stirred Tank Reactor) is a vessel in which Kinetic
and Heterogeneous catalytic reactions can be performed.
• The conversion in the reactor depends on the rate expression of the
reactions associated with the reaction type.
• The inlet stream is assumed to be perfectly (and instantaneously) mixed
with the material already in the reactor, so that the outlet stream
composition is identical to that of the reactor contents.
• To simulate the CSTR we need to know the volume of the reactor.
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
19
Reactors
PFR
• The PFR (Plug Flow Reactor, or Tubular Reactor) generally consists of a
bank of cylindrical pipes or tubes.
• The flow field is modeled as plug flow, implying that the stream is
radially isotropic (without mass or energy gradients). This also implies
that axial mixing is negligible.
• To simulate the PFR we need to know the volume and the length of the
reactor.
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
20
Butyl Acetate Production
The following system is used to produce Butyl-acetate from Methyl acetate
and Methanol.
MeAC BuOH MeOH BuAc 
Use Peng-Robinson (PR) thermodynamic package
MeAc Feed
150 kmol/h
T = 305 K
P = 15 atm
BuOH Feed
100 kmol/h
T = 305 K
P = 15 atm
R in
P = 5 atm
R out
T = 305 K
P = 5 atm
Reactor
DP = 0 atm
Liquid phase reaction
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
21
Butyl Acetate Production
The following system is used to produce Butyl-acetate from Methyl acetate
and Methanol.
MeAC BuOH MeOH BuAc 
Use Peng-Robinson (PR) thermodynamic package
The reaction follows the next kinetic law:
𝑟 = 𝑘 𝐹 𝐶 𝑀𝑒𝐴𝑐 𝐶 𝐵𝑢𝑂𝐻 − 𝑘 𝑅 𝐶 𝑀𝑒𝑂𝐻 𝐶 𝐵𝑢𝐴𝑐
𝑘𝑚𝑜𝑙
𝑠·𝑚3
𝑘 𝐹 = 7 · 106
𝑒𝑥𝑝−
71960
𝑅𝑇
𝑘 𝑅 = 9.467 · 106
𝑒𝑥𝑝−
72670
𝑅𝑇
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
22
Butyl Acetate Production
The following system is used to produce Butyl-acetate from Methyl acetate
and Methanol.
MeAC BuOH MeOH BuAc 
Use Peng-Robinson (PR) thermodynamic package
Molar flow and composition of the reactor outlet stream, for different
types of reactors:
• Conversion reactor, assuming 10% of methyl acetate
• Gibbs reactor.
• Plug Flow Reactor (PFR), 4 m length and 0.5 m diameter.
• Continuous-Stirred Tank Reactor (CSTR), 2 m3 volume.
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
23
Ethylene Glycol Production
Óxido de etileno
Agua
Reciclado
monoetilenglicol
Dietilenglicol
Trietilenglicol
Pesados
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
24
Ethylene Glycol Production
Simulate with COFE (COCO) a reactor to produce ethylene glycol considering
that we know the conversion for each reaction.
Reactions:
Use Peng-Robinson (PR) thermodynamic package
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
25
Ethylene Glycol Production
Parametric study varying length of the PFR
Kinetics in COCO
R1 = exp(13.62-8220/T)/60/1000*C(Water)*C("Ethylene oxide")
R2 = exp(15.57-8700/T)/60/1000*C("Monoethylene glycol")*C("Ethylene oxide")
R3 = exp(16.06-8900/T)/60/1000*C("Diethylene glycol")*C("Ethylene oxide")
Kinetics
A. Carrero , N. Quirante & J. Javaloyes
Introduction to chemical process simulators
26
Ethylene Glycol Production
Parametric study varying length of the PFR
0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000
Length of PFR / m
0
0.05
0.1
0.15
0.2
0.25
0.3
Molefraction
Mole f raction Ethy lene oxide stream 2
Mole f raction Ethy lene gly col stream 2
Mole f raction Diethy lene gly col stream 2
Mole f raction Triethy lene gly col stream 2

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Simulation of Chemical Rectors - Introduction to chemical process simulators - Coco - DWSIM- Aspen - Hysys - free - course

  • 1. INTRODUCTION TO CHEMICAL PROCESS SIMULATORS A. Carrero, N. Quirante, J. Javaloyes October 2016 DWSIM Chemical Process Simulator
  • 2. A. Carrero , N. Quirante & J. Javaloyes Introduction to Chemical Process Simulators 2 Contents Monday, October 3rd 2016  Introduction to Sequential – Modular Steady State Process Simulators  Get used to working with DWSIM and COCO Monday, October 10th 2016  Simulation of Chemical Reactors Monday, October 17th 2016  Simulation of Distillation Columns Monday, October 24th 2016  Case studies
  • 3. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 3 Tips to introduce inlet data in DWSIM 1. Introduce the composition and accept the changes 2. Introduce the rest of the inlet information by pressing Enter after writing each data Pressure Temperature Mass o molar flow 3. Review the thermodynamic model 4. Review the units For any simulator!
  • 4. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 4 Reactions • Conversion: specify the conversion (%) of the limiting reagent as a function of temperature. • Equilibrium: specify the equilibrium constant (K) as a function of temperature, a constant value or calculated from the Gibbs free energy reaction (DG/R). • Kinetic: specify the frequency factor (A) and the activation energy (E) for the direct reaction (optionally for the reverse reaction), including the orders of reaction of each component. • Heterogeneous catalytic: specify the kinetic terms of the kinetic reaction as well as the activation energy, frequency factor, and component exponent terms of the adsorption kinetics.
  • 5. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 5 Conversion Reaction • It is assumed that the user has information regarding the conversion of one of the reactants as a function of temperature. • By knowing the conversion and the stoichiometric coefficients, the quantities of the components in the reaction can be calculated. • Considering the following reaction: where a, b and c are the stoichiometric coefficients of reactants and product, respectively. A is the limiting reactant and B is in excess. The amount of each component at the end of the reaction can be calculated from the following stoichiometric relationships: 𝑎𝐴 + 𝑏𝐵 → 𝑐𝐶 𝑁𝐴 = 𝑁𝐴𝑜 − 𝑁𝐴𝑜 𝑋 𝐴 𝑁 𝐵 = 𝑁 𝐵𝑜 − 𝑏 𝑎 𝑁𝐴𝑜 𝑋 𝐴 𝑁𝐶 = 𝑁𝐶𝑜 + 𝑐 𝑎 𝑁𝐴𝑜 𝑋 𝐴
  • 6. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 6 Conversion Reaction DWSIM COCO
  • 7. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 7 Equilibrium Reaction • The quantity of each component at the equilibrium is related to equilibrium constant by the following relationship: where K is the equilibrium constant, q is the basis of components (partial pressure in the vapor phase or activity in the liquid phase), ν is the stoichiometric coefficient of component j and n is the number of components in the reaction. • The equilibrium constant can be obtained: • Considering it as a constant. • Considering it as a function of temperature. • Calculating it automatically from the Gibbs free energy at the temperature of the reaction. 𝐾 = 𝑗=1 𝑛 𝑞 𝑗 𝜐 𝑗
  • 8. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 8 Equilibrium Reaction DWSIM COCO
  • 9. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 9 Kinetic Reaction • It is defined by the parameters of the equation of Arrhenius (frequency factor and activation energy) for both the direct order and for reverse order. • Considering the following kinetic reaction: • The reaction rate for the A component can be defined as: where: • The kinetic reactions are used in Plug-Flow Reactors (PFR) and in Continuous-Stirred Tank Reactors (CSTR). 𝑎𝐴 + 𝑏𝐵 → 𝑐𝐶 + 𝑑𝐷 𝐹𝐴 = 𝐹𝐴𝑜 + 𝑉 𝑟𝐴 𝑑𝑉 𝑟𝐴 = 𝑘 𝐴 𝐵 − 𝑘′ [𝐶][𝐷] 𝑘 = 𝐴 𝑒𝑥𝑝(−𝐸/𝑅𝑇) 𝑘′ = 𝐴′ 𝑒𝑥𝑝(−𝐸′/𝑅𝑇) • FA is the molar flow of the A component. • V is the reactor volume.
  • 10. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 10 Kinetic Reaction DWSIM COCO
  • 11. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 11 Heterogeneous Catalytic Reaction • It is described the rate of catalytic reactions involving solid catalyst. • Considering the following reaction: • Depending on the reaction mechanism, the reaction rate expression can be generally written as: where kf and kr are the rate constants of the forward and reverse kinetic rate expressions, K is the absorption rate constant, and M is the number of absorbed reactants and products plus absorbed inert species. 𝑎𝐴 + 𝑏𝐵 → 𝑐𝐶 𝑟 = 𝑘 𝑓 𝑖=1 𝑅𝑒𝑎𝑐 𝐶𝑖 𝛼 𝑖 − 𝑘 𝑟 𝑗=1 𝑃𝑟𝑜𝑑 𝐶𝑗 𝛽 𝑗 1 + 𝑘=1 𝑀 𝐾𝑘 𝑔=1 𝑀 𝐶𝑔 𝛾 𝑘𝑔 𝑛
  • 12. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 12 Reactions • Chemical reactions in DWSIM are managed through the Chemical Reactions Manager and in COCO through Settings – Reaction packages . • The user can define various reactions which are grouped in Reaction Sets. This reaction sets list all chemical reaction, and the user must activate only those we wants to become available for one or more reactors. • In the reaction set configuration window we define the reaction ordering.
  • 13. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 13 Reactors • Conversion Reactor • Equilibrium Reactor • Gibbs Reactor • CSTR • PFR DWSIM COCO CONVERSION GIBBS REACTOR EQUILIBRIUM CSTR PFR
  • 14. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 14 Reactors Reaction type Reactor type Conversion Conversion Equilibrium Equilibrium, Gibbs Kinetic PFR, CSTR Heterogeneous catalytic PFR, CSTR
  • 15. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 15 Reactors Conversion Reactor • The conversion reaction is a vessel in which conversion reactions are performed. • You can only attach reaction sets that contain conversion reactions. • It should be specified the stoichiometry of all reactions and the conversion of the limiting reactant. • This reactor calculates the composition of the outlet streams.
  • 16. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 16 Reactors Equilibrium Reactor • The equilibrium reactor is a vessel which models equilibrium reactions. • The outlet streams of the reactor are in a state of the chemical and physical equilibrium. • The reaction set can contain an unlimited number of equilibrium reactions, which are simultaneously or sequentially solved.
  • 17. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 17 Reactors Gibbs Reactor • Gibbs reactors can work with equilibrium reactions or without any reaction information (Gibbs minimization mode). • In this case, it will respect the element mass balance and try to find a state where the Gibbs free energy will be at a minimum.
  • 18. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 18 Reactors CSTR • The CSTR (Continuous-Stirred Tank Reactor) is a vessel in which Kinetic and Heterogeneous catalytic reactions can be performed. • The conversion in the reactor depends on the rate expression of the reactions associated with the reaction type. • The inlet stream is assumed to be perfectly (and instantaneously) mixed with the material already in the reactor, so that the outlet stream composition is identical to that of the reactor contents. • To simulate the CSTR we need to know the volume of the reactor.
  • 19. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 19 Reactors PFR • The PFR (Plug Flow Reactor, or Tubular Reactor) generally consists of a bank of cylindrical pipes or tubes. • The flow field is modeled as plug flow, implying that the stream is radially isotropic (without mass or energy gradients). This also implies that axial mixing is negligible. • To simulate the PFR we need to know the volume and the length of the reactor.
  • 20. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 20 Butyl Acetate Production The following system is used to produce Butyl-acetate from Methyl acetate and Methanol. MeAC BuOH MeOH BuAc  Use Peng-Robinson (PR) thermodynamic package MeAc Feed 150 kmol/h T = 305 K P = 15 atm BuOH Feed 100 kmol/h T = 305 K P = 15 atm R in P = 5 atm R out T = 305 K P = 5 atm Reactor DP = 0 atm Liquid phase reaction
  • 21. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 21 Butyl Acetate Production The following system is used to produce Butyl-acetate from Methyl acetate and Methanol. MeAC BuOH MeOH BuAc  Use Peng-Robinson (PR) thermodynamic package The reaction follows the next kinetic law: 𝑟 = 𝑘 𝐹 𝐶 𝑀𝑒𝐴𝑐 𝐶 𝐵𝑢𝑂𝐻 − 𝑘 𝑅 𝐶 𝑀𝑒𝑂𝐻 𝐶 𝐵𝑢𝐴𝑐 𝑘𝑚𝑜𝑙 𝑠·𝑚3 𝑘 𝐹 = 7 · 106 𝑒𝑥𝑝− 71960 𝑅𝑇 𝑘 𝑅 = 9.467 · 106 𝑒𝑥𝑝− 72670 𝑅𝑇
  • 22. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 22 Butyl Acetate Production The following system is used to produce Butyl-acetate from Methyl acetate and Methanol. MeAC BuOH MeOH BuAc  Use Peng-Robinson (PR) thermodynamic package Molar flow and composition of the reactor outlet stream, for different types of reactors: • Conversion reactor, assuming 10% of methyl acetate • Gibbs reactor. • Plug Flow Reactor (PFR), 4 m length and 0.5 m diameter. • Continuous-Stirred Tank Reactor (CSTR), 2 m3 volume.
  • 23. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 23 Ethylene Glycol Production Óxido de etileno Agua Reciclado monoetilenglicol Dietilenglicol Trietilenglicol Pesados
  • 24. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 24 Ethylene Glycol Production Simulate with COFE (COCO) a reactor to produce ethylene glycol considering that we know the conversion for each reaction. Reactions: Use Peng-Robinson (PR) thermodynamic package
  • 25. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 25 Ethylene Glycol Production Parametric study varying length of the PFR Kinetics in COCO R1 = exp(13.62-8220/T)/60/1000*C(Water)*C("Ethylene oxide") R2 = exp(15.57-8700/T)/60/1000*C("Monoethylene glycol")*C("Ethylene oxide") R3 = exp(16.06-8900/T)/60/1000*C("Diethylene glycol")*C("Ethylene oxide") Kinetics
  • 26. A. Carrero , N. Quirante & J. Javaloyes Introduction to chemical process simulators 26 Ethylene Glycol Production Parametric study varying length of the PFR 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000 Length of PFR / m 0 0.05 0.1 0.15 0.2 0.25 0.3 Molefraction Mole f raction Ethy lene oxide stream 2 Mole f raction Ethy lene gly col stream 2 Mole f raction Diethy lene gly col stream 2 Mole f raction Triethy lene gly col stream 2