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The ultimate answer to all your vapor-liquid equilibrium needs
EQEQEQEQEQEQEQEQ--------COMP : The VLE SimulatorCOMP : The VLE SimulatorCOMP : The VLE SimulatorCOMP : The VLE SimulatorCOMP : The VLE SimulatorCOMP : The VLE SimulatorCOMP : The VLE SimulatorCOMP : The VLE Simulator
VAPOR-LIQUID EQUILIBRIUM CONCEPT
PURE COMPOUNDS
• Vapor-Liquid Equilibrium curves for pure compounds are Pressure-
Temperature plots showing the variation of boiling/bubbling
temperatures with pressures.
• These curves end at critical point corresponding to critical temperature
and critical pressure
• The compound can be vaporized at a constant temperature lower than
critical temperature from an initial pressure beyond critical pressure by
decreasing the pressure.
• Similarly compound can be liquefied at a constant pressure below
critical pressure from an initial temperature higher than critical
temperature by decreasing the temperature
• The compound can not be liquefied or vaporized by variation of
temperature at constant pressure or by variation of pressure at constant
temperature incase the both the initial temperature and pressure of
compound are higher than critical values.
• Beyond critical point, the compound can not be characterized as liquid
or vapor thus resulting in absence of vapor-liquid equilibrium and VLE
curve beyond critical point.
VAPOR-LIQUID EQUILIBRIUM CONCEPT
VLE CURVE OF A PURE COMPOUND
VLE curve of Methane (CH4)
PHASE ENVELOP
0.00
25.00
50.00
75.00
100.00
125.00
150.00
175.00
200.00
0.4
40.4
80.4
120.4
160.4
200.4
240.4
280.4
320.4
360.4
400.4
440.4
480.4
520.4
560.4
600.4
640.4
680.4
720.4
760.4
800.4
PRESSURE (BARS)
TEMPERATURE(K)
BUBBLE PT DEW PT
VAPOR-LIQUID EQUILIBRIUM CONCEPT
HYDROCARBON MIXTURES
• Vapor-Liquid Equilibrium curves for hydrocarbon mixtures are generally
closed envelopes known as Phase envelopes comprising of bubble point
curve and dew point curve.
• Bubble point curve is the plot of pressure of the mixture (bubble point
pressure) with the temperature at which vaporization of the mixture
starts/ first bubble of vapor is formed (bubble point temperature or
initial boiling point temperature).
• Dew point curve is the plot of pressure of the mixture (dew point
pressure) with the temperature at which vaporization of the mixture
ends/ single drop of liquid remains (dew point temperature or final
boiling point temperature).
• The meeting point of bubble point curve and dew point curve on phase
envelope is the critical point of the hydrocarbon mixture.
• Inside the Phase envelope in general and between initial and final
boiling temperatures in particular, the hydrocarbon mixture exists in
two phases i.e. partially in liquid and partially in vapor phase.
• Unlike VLE curves for pure compounds, VLE curves for hydrocarbon
mixtures extend beyond critical pressure to cricondenbar (point of
maximum pressure on the phase envelope) and beyond critical
temperature to cricondentherm (point of maximum temperature on the
phase envelope).
VAPOR-LIQUID EQUILIBRIUM CONCEPT
PHASE ENVELOPE FOR A HYDROCARBON MIXTURES
Phase envelope of a typical Natural Gas composition
CH4 : 90 %, C2H6 : 6.2 %, C3H8 : 2.3 %, i-C4H10 : 0.4 %, n-C4H10 :
0.55 %, n-C5H12 : 0.03 %, N2 : 0.52 %
PHASE ENVELOP
0.00
25.00
50.00
75.00
100.00
125.00
150.00
175.00
200.00
225.00
250.00
275.00
0.4
40.4
80.4
120.4
160.4
200.4
240.4
280.4
320.4
360.4
400.4
440.4
480.4
520.4
560.4
600.4
640.4
680.4
720.4
760.4
800.4
PRESSURE (BARS)
TEMPERATURE(K)
BUBBLE PT DEW PT
VLE PROPERTIES DETERMINATION AND ITS
UTILITY
UTILITY OF VLE PROPERIES
VLE Properties like bubble point, dew point, two phase composition,
critical point, cricondentherm, cricondenbar etc. form the basis of
complete hydrocarbon industry and have immense usage in all kinds of
hydrocarbon operations as well as in all other areas even remotely
related to hydrocarbons. Some uses of VLE properties are:
• VLE Properties are required in designing of hydrocarbon plants like oil
refineries, LPG plant, LNG liquefaction and gasification plants,
Petrochemical plants etc.. They have roles in designing of all equipments
of these plants like storage tanks, flash chambers, distillation towers,
pumps etc.
• VLE Properties are required in all kinds of petroleum upstream
calculations like oil and gas well simulation and designing of multiphase
flow pipelines.
• Prediction of these properties is useful in simulating various planetary
atmospheres which contain varying proportions of hydrocarbons like
methane, ethane and propane and some inorganic gases like N2, H2S,
H2 and CO2.
VLE PROPERTIES DETERMINATION AND ITS
UTILITY
DETERMINATION OF VLE PROPERIES
VLE Properties like bubble point, dew point, two phase composition,
critical point, cricondentherm, cricondenbar etc. for binary mixtures are
easy to calculate but determination of these properties for
multicomponent mixtures require complex calculations involving
complex equations. Optimization of these calculations to include
maximum number of components and plotting of correct phase
envelopes for multicomponent mixtures presents further challenge.
These calculations can only be calculated using latest computers. These
calculations further require complex computer programs to automate
them so that the results can be generated at the click of a button.
INTRODUCTION TO EQ-COMP
• EQ-COMP is a VLE calculation software that can accurately calculate
various VLE properties like bubble point, dew point, two phase
compositions, critical point, cricondentherm, cricondenbar etc. for
multicomponent hydrocarbon mixtures.
• EQ-COMP is one of its kind software in the world which is made single-
handedly with basic infrastructure using very basic software tool like
MS excel but gives results comparable to other such world class
softwares made using most advanced software tools, vast infrastucture
and large teams of scientists and developers.
• EQ-COMP is a very complex combination of macro programs of MS excel
written using Visual Basic for Applications programming language for
calculating multicomponent vapor-liquid equilibrium properties
automatically at the click of a button.
• EQ-COMP is useful in finding out vapor-liquid equilibrium properties for
a hydrocarbon mixture for any composition. It has been optimised to
include any number of non-polar or slightly polar compounds subject to
a maximum limit of 112 compounds.
• Various modules of EQ-COMP can be used to find out various VLE
properties even in retrograde region and for compositions involving high
proportions of non-condensables.
• The phase envelope generated using EQ-COMP consists of equilibrium
temperature values at a specified interval of 0.4 bars clearly marking the
critical point of mixture with easily locatable cricondenbar and
cricondentherm.
CALCULATIONS & EQUATIONS USED IN
EQ-COMP
• EQ-COMP calculates VLE properties using Peng-Robinson cubic
equation of state which is the preferred equation for such calculations
for non-polar and slightly polar compounds
• EQ-COMP uses modified version of Peng-Robinson equation published
in 1978
• In designing of EQ-COMP, trends of various phase envelop curves for
different compositions developed using first principles have been
carefully studied and generalized to fit other compositions.
• EQ-COMP does not use any popular converging method but uses very
long and un-conventional for such calculations but tried and tested and
very reliable first principle approach and basic but standard calculation
tools like MS excel for carrying out the calculations. So EQ-COMP may
sometimes take very long time in generating results but the chances of
the results being incorrect under the preview of Peng-Robinson cubic
equation of state is almost nil.
• Binary interaction parameters values can be included in the
calculations in EQ-COMP to increase the accuracy of the VLE results.
• EQ-COMP is among the very few similar software in the world which
have included temperature dependent binary interaction parameters as
per Predictive Peng Robinson 78 (PPR 78) equation in its calculations.
These parameters are specifically used for calculating reasonably
accurate water dew point values and curves for hydrocarbon mixtures.
• EQ-COMP can include constant binary interaction parameters
calculated using critical volumes of interacting hydrocarbons.
EXCLUSIVE FEATURES OF EQ-COMP
Some of the exclusive features and results possible with EQ-COMP are:
• Phase equilibrium curve with temperature-pressure data for any pure
non-polar or mildly polar compound with known critical temperature,
critical pressure accentricity factor.
• VLE properties like bubble point temperature, bubble point pressure,
dew point temperature, dew point pressure, two phase composition,
bubble point composition, dew point composition etc. for almost any
hydrocarbon mixture involving any number of non-polar or mildly polar
hydrocarbons.
• Complete phase envelope for almost any hydrocarbon mixture with
critical point, cricondenbar, cricondentherm and multiple critical points.
• VLE properties in the retrograde region.
• VLE properties and Phase envelope for hydrocarbon mixtures involving
high concentration of non-condensables.
• Prediction of state of hydrocarbon mixture (liquid, vapour, two phase or
super critical) at a particular temperature and pressure.
• Customisation of software to include any other non-polar or mildly polar
hydrocarbon in the calculations as per client’s requirement.
• Inclusion of values of binary interaction parameters provided by the
client to generate results.
• Inclusion of constant binary interaction parameters in case desired by
the client.
EXCLUSIVE FEATURES OF EQ-COMP
Continued
• Generation of liquid and vapour compressibility factors for any
hydrocarbon mixture over a range of temperatures and pressures.
• Generation of x-y, T-x-y, H-x-y and critical point profile for any binary
mixture comprising of non-polar or mildly polar hydrocarbons.
• Calculation of enthalpy change from standard conditions, entropy
change from standard conditions, gibbs free energy change from
standard conditions, heat capacity at constant pressure (Cp), heat
capacity at constant volume (Cv), heat capacity ratio (Cp/Cv) and Sonic
speed for any hydrocarbon mixture at a given pressure and
corresponding bubble and dew point temperatures and throughout the
phase envelope at increments of 0.4 bars.
APPLICATIONS OF EQ-COMP
Some of the possible applications of EQ-COMP are:
• EQ-COMP can be used to predict phase equilibrium curves for pure
hydrocarbons and supercritical properties so it can be used to design
storage tanks for pure hydrocarbons.
• EQ-COMP can be used to predict the bubble point, hydrocarbon dew
point and two phase properties for multicomponent hydrocarbon
mixtures so it can be used to design multicomponent distillation
columns and multicomponent flash chambers/ storage tanks.
• EQ-COMP can predict cricondentherm, cricondenbar, critical point,
retrograde condensation region etc. very accurately so it can be used for
oil well simulation studies during oil well planning.
• EQ-COMP predicts cricondentherm very accurately using Peng-
Robinson cubic equation of state so it can be used to fix the
temperature at which the natural gas should be supplied to the power
plants and this temperature specification is mentioned in Natural gas
contracts for natural gas based power plants and cogen plants.
• EQ-COMP can predict various phase equilibrium properties for
hydrocarbon mixtures so it can also be used to simulate planetary
atmospheres like that of Titan, the moon of Saturn which contains
mixture of Nitrogen and Methane in varying proportions.
• EQ-COMP can accurately find out various VLE properties at low as well
as high pressures and can further post-process the data generated by
running various modules of EQ-COMP number of times to generate
Concentration diagrams, Temperature-Concentration diagrams and
Enthalpy-Concentration diagrams for any binary mixture comprising of
non-polar or mildly polar hydrocarbons at any pressure so it can be
used directly for designing distillation columns for binary mixtures.
APPLICATIONS OF EQ-COMP
Continued from previous slide -
• EQ-COMP can calculate enthalpy change from standard conditions,
entropy change from standard conditions, gibbs free energy change from
standard conditions, heat capacity at constant pressure (Cp), heat
capacity at constant volume (Cv), heat capacity ratio (Cp/Cv) and Sonic
speed at desired pressure values and correspomding bubble point and
dew point temperature values of hydrocarbon mixture. Also it can
calculate the above values for any hydrocarbon mixture throughout the
phase envelope at increments of 0.4 bars. This enables the calculation
of enthalpy changes, entropy changes and gibbs energy changes
between saturated vapour and saturated liquid apart from heat
capacity, heat capacity ratio and sonic speed values for saturated
vapour and saturated liquid for any hydrocarbon mixture. These values
have extensive usage in engineering calculations involving
hydrocarbons.
These are some of the possible practical applications of EQ-COMP.
Apart from these, EQ-COMP can be extensively used in various other
natural gas processing, petrochemical and refinery design applications
and in research studies in various research laps wherever accurate
prediction of vapour liquid equilibrium properties for pure hydrocarbons
or hydrocarbon mixtures is required.
BINARY VLE USING EQ-COMP
For multicomponent distillation, separate detailed tray by tray
calculations performed iteratively may be required for optimized design
of the distillation column but simpler calculation procedures exist for
binary distillation. Distillation columns for binary mixtures can be
designed by very simple McCabe-Thiele method and slightly more
complex and more accurate Ponchon-Savarit method. Both these
methods require Concentration diagrams (x-y plot) and Temperature-
Concentration diagrams (T-x-y plot) at the operating pressure of the
distillation column. Ponchon-Savarit method requires enthalpy-
concentration diagram in addition to these two diagrams.
EQ-COMP can be used to design multicomponent distillation columns
by calculating VLE properties at each of the tray conditions separately
step by step. EQ-COMP can accurately find out various VLE properties
at low as well as high pressures and can further post-process the data
generated by running various modules of EQ-COMP number of times to
generate Concentration diagrams (x-y plot), Temperature-Concentration
diagrams (T-x-y plots) and Enthalpy-Concentration diagram (H-x-y
plots) for any binary mixture comprising of non-polar or mildly polar
hydrocarbons at any pressure. These diagrams can be used in McCabe-
Thiele method or Ponchon-Savarit method to find out various design
parameters like theoretical number of trays, feed tray location, reflux
ratio etc. for distillation columns for binary mixtures.
CALCULATION MODULES OF EQ-COMP
Various calculation modules of EQ-COMP along with the results
generated by them are given below:
• Bubble point temperature module: It calculates the bubble point
temperature/s, equilibrium constants (K values) and compositions at a
given pressure. In addition it calculates liquid and vapor compressibility
factor values, molecular weights and densities at bubble point. Also it
gives Equilibrium temperature, compositions, K values and
compressibility factor values at pressure values throughout the bubble
point curve at increments of 0.4 bars.
• Hydrocarbon dew point temperature module: It calculates the dew
point temperature and compositions at a given pressure. In addition it
calculates liquid and vapor compressibility factor values, molecular
weights and densities at dew point. Also it gives Equilibrium
temperature, compositions, K values and compressibility factor values
at pressure values throughout the hydrocarbon dew point curve at
increments of 0.4 bars.
• Bubble point pressure module: It calculates the bubble point
pressure and compositions at a given temperature. In addition it
calculates liquid and vapor compressibility factor values, molecular
weights and densities at bubble point. Also it gives Equilibrium
temperature, compositions, K values and compressibility factor values
at pressure values throughout the bubble point curve at increments of
0.4 bars.
CALCULATION MODULES OF EQ-COMP
Continued from previous slide -
• Hydrocarbon dew point pressure module: It calculates the dew
point pressure and compositions at a given temperature. In addition it
calculates liquid and vapor compressibility factor values, molecular
weights and densities at dew point. Also it gives Equilibrium
temperature, compositions, K values and compressibility factor values
at pressure values throughout the hydrocarbon dew point curve at
increments of 0.4 bars.
• Two phase composition module: It calculates the two-phase
compositions along with liquid and vapor compressibility factor values,
molecular weights and densities at given conditions and at bubble point
temperatures and dew point temperatures for the given pressure
conditions. Also it gives Equilibrium temperature, compositions, K
values and compressibility factor values at pressure values throughout
the phase envelope including bubble point curve and hydrocarbon dew
point curve at increments of 0.4 bars.
• Phase envelope module: It gives temperature and pressure values for
the complete phase envelope along with plot of phase envelope. It also
provides critical point temperature and pressure values and bubble
point and dew point compositions and properties at critical point. Also it
gives equilibrium temperature, compositions, K values and
compressibility factor values at pressure values throughout the phase
envelope including bubble point curve and hydrocarbon dew point curve
at increments of 0.4 bars.
CALCULATION MODULES OF EQ-COMP
Continued from previous slide -
• Water dew point temperature module: It calculates the water
dew point temperature value at given pressure. Also it gives water dew
poin temperature, compositions, K values and compressibility factor
values at pressure values throughout the water dew point curve at
increments of 0.4 bars along with plot of water dew point curve.
• Liquid compressibility factor calculation module: It calculates
liquid compressibility factor values for the provided range of
temperatures and pressures with provided increments in temperatures
and pressures
• Vapor compressibility factor calculation module: It calculates
vapor compressibility factor values for the provided range of
temperatures and pressures with provided increments in temperatures
and pressures
• Binary VLE calculation module: It calculates bubble point
temperature and dew point temperature at desired pressure and phase
envelope data for binary mixtures of same compounds with 9 different
compositions starting from 0 % of one compound to 100 % of that
compound with increments of 12.5 %. It calculates liquid and vapor
compressibility factors, liquid and vapor densities and liquid and vapor
molecular weights on 15 points on concentration diagram (x-y plot)
Further it generates concentration diagram (x-y plot), concentration
diagram (x-y plot) data, temperature-concentration diagram (T-x-y plot),
Temperature-concentration diagram (T-x-y plot) data, Enthalpy-
concentration diagram (H-x-y plot), Enthalpy-concentration diagram (H-
x-y plot) data and critical point locus curve for the binary mixtures.
CALCULATION MODULES OF EQ-COMP
Continued from previous slide -
• Thermodynamic properties calculation module: It calculates enthalpy
change from standard conditions, entropy change from standard
conditions, gibbs free energy change from standard conditions, heat
capacity at constant pressure (Cp), heat capacity at constant volume
(Cv), heat capacity ratio (Cp/Cv) and Sonic speed at desired pressure
values and correspomding bubble point and dew point temperature
values of hydrocarbon mixture. In addition it calculates temperature,
enthalpy change from standard conditions, entropy change from
standard conditions, gibbs free energy change from standard conditions,
heat capacity at constant pressure (Cp), heat capacity at constant
volume (Cv), heat capacity ratio (Cp/Cv) and Sonic speed at pressure
values throughout the bubble point and dew point curve at increments
of 0.4 bars.
• Composition Profile calculation module: It calculates Equilibrium
temperature, compositions, K values and compressibility factor values
at pressure values throughout the bubble point and dew point curve at
increments of 0.4 bars. Further it calculates bubble point and dew point
temperature/s, compositions, K values, liquid and vapour
compressibility factor values, liquid and vapour densities and liquid and
vapour molecular weights at upto 10 pressure values on the pressure
profile of a pipeline. It also calculates two phase compositions, K values,
liquid and vapour compressibility factor values, liquid and vapour
densities and liquid and vapour molecular weights at upto 10
temperature values and corresponding pressure values on a pipeline.
BENEFITS OF EQ-COMP IN COMPARISON
WITH OTHER SIMILAR SOFTWARES
• A conventional simulation software though an extension of EQ-COMP
cost may cost close to a 100,000 USD with various limitations to
number of users and time validity of licence. EQ-COMP is the basis of
some main modules of these simulation softwares. Services of EQ-COMP
can be availed at an extremly low cost on per calculation basis.
• EQ-COMP is offered on software as a service (SAAS) model where ready
results of the queries are provided to the customer as a service. This
way the customer would not have to arrange for infrastructure like a
standalone high-end computer with suitable backend softwares
programs for running and safeguarding the software. Also the customer
would not have to learn how to operate the software as ready results of
the queries would be provided to him through e-mail. The only
requirement for availing the services of EQ-COMP is a valid official e-
mail address to send and receive queries for which any internet enabled
computer can be used. This way the results can be obtained by the
Engineer/ Scientist even when he is not in his office during off hours or
while on site when he can not use his office resources.
• A conventional simulation softwares has number of modules meant for
different industries, all of which may not be required by one client. EQ-
COMP has been specifically designed for hydrocarbon industry
complying specific requirements which can be foreseen before paying for
the services of EQ-COMP.
• EQ-COMP can give almost any result involving hydrocarbon VLE most
accurately using the preferred Peng-Robinson equation of state making
it truly world-class as far as final results of the software are concerned.
LIMITATIONS OF EQ-COMP
• The results of EQ-COMP are based on standard chemical engineering
equations. These results may not completely match with experimental
results. So while asking for or using the results it should be kept in
mind that these are just theoretical calculations calculated using
modern computers as calculating them otherwise may not be possible or
may be very difficult.
• As EQ-COMP uses MS Excel for calculations so the results would not be
calculated online but be calculated on a standalone PC based on the
data entered into the form on the website www.eq-comp.com and sent to
our office in New Delhi, INDIA through e-mail by submitting it on the
website. Because of time difference between the country from where
enquiry is send and India, the enquiry may take upto 24 hours to clear.
The final result will be sent through e-mail to the user in the form of an
MS Excel attachment.
• EQ-COMP, though world-class as far as final output is concerned, is a
solo effort using very basic infrastructure and basic software tools like
MS-excel. MS-excel is not designed for such extensive calculations and
plenty of inherent limitations of MS-excel have been overcome in
development of EQ-COMP. Still some areas of improvements and
shortcomings may exist in EQ-COMP which have yet remained
unnoticed The same may be conveyed at info@eq-comp.com.
DESIGNER’S/DEVELOPER’S PROFILE
EQ-COMP is the result of more than 10 years of continuous research in
the field of vapour-liquid equilibrium and involves extensive software
development effort to optimize and automate the calculations. It has
been designed and developed by Mr. Amit Katyal who is a Bachelor in
Chemical Engineering from the prestigious Indian Institute of
Technology, Delhi, INDIA. He has a total experience of more than 20
years in hydrocarbon sector in diverse segments like research,
operations, technical services and marketing.
HOW TO AVAIL SERVICES OF EQ-COMP
EQ-COMP software is not available for purchase on license basis but is
available for use as per SAAS (Software as a service) model. Services of
EQ-COMP can be availed on per calculation basis. The calculations can
be availed by logging into the VLE Calculator page of the website,
www.eq-comp.com . New users should mention their name and e-mail id
for registering with the website. The password for logging into the VLE
Calculator would be sent to the user at the e-mail ID mentioned while
registration. The request for calculation results may take upto 24 hours
to clear depending on the time difference between the Country of origin
of the request and INDIA as the same would have to be fed into EQ-
COMP application at our office in INDIA for getting the results which will
then be sent to the registered e-mail as an MS Excel attachment.
SAMPLE RESULTS FROM EQ-COMP
The phase envelop result for a standard natural gas composition
calculated using EQ-COMP is given below:
Methane : 70 %, Ethane : 15 %, Propane : 8 %
i-Butane : 2 %, n-Butane : 2 %, n-Pentane : 1 %
2 Methyl Butane : 1 %, n-Hexane : 1 %
SAMPLE RESULTS FROM EQ-COMP
The phase envelop result for a non-standard composition with high
proportion of non-condensables using EQ-COMP is given below:
Methane : 10%, n-Hexane : 10%, n-Heptane : 10%
n-Octane : 20 %, Nitrogen : 50 %
SAMPLE RESULTS FROM EQ-COMP
x-y plot for methane-ethane mixture at 10 bars pressure (generated by
EQ-COMP)
MOLE FRACTION PLOT
0
0.2
0.4
0.6
0.8
1
1.2
00.025
0.050.075
0.10.125
0.150.175
0.20.225
0.250.275
0.30.325
0.350.375
0.40.425
0.450.475
0.50.525
0.550.575
0.60.625
0.650.675
0.70.725
0.750.775
0.80.825
0.850.875
0.90.925
0.950.975
1
LIQ MOLE FRACTION - HIGH VOLATILE
VAPMOLEFRACTION-HIGHVOLATILE
BINARY COMPOSITION DATA
SAMPLE RESULTS FROM EQ-COMP
T-x-y plot for methane-ethane mixture at 10 bars pressure (generated by
EQ-COMP)
T-x-y DIAGRAM
0
50
100
150
200
250
300
00.025
0.050.075
0.10.125
0.150.175
0.20.225
0.250.275
0.30.325
0.350.375
0.40.425
0.450.475
0.50.525
0.550.575
0.60.625
0.650.675
0.70.725
0.750.775
0.80.825
0.850.875
0.90.925
0.950.975
1
PERCENTAGE
TEMPERATURE(K)
BUBBLE PT TEMPERATURE DEW PT TEMPERATURE
SAMPLE RESULTS FROM EQ-COMP
H-x-y plot for methane-ethane mixture at 10 bars pressure (generated
by EQ-COMP)
ENTHALPY CONCENTRATION DIAGRAM
-14
-12
-10
-8
-6
-4
-2
0
0 12.5 25 37.5 50 62.5 75 87.5 100
MOLE FRACTION
ENTHALPY(KJ/GMMOLE)
LIQUID ENTHALPY VAPOR ENTHALPY
SAMPLE RESULTS FROM EQ-COMP
Critical point profile for methane-ethane mixture (generated by EQ-
COMP)
CRITICAL POINT CURVE
0
20
40
60
80
100
120
140
160
180
200
150.00
160.00
170.00
180.00
190.00
200.00
210.00
220.00
230.00
240.00
250.00
260.00
270.00
280.00
290.00300310320330340350360370380390400410420430440450460470480490500510520530540550560570580590600610620630640650660670680690700710720730740750
CRITICAL TEMPERATURE (K)
CRITICALPRESSURE(BARS)
THANKS
Amit Katyal
D-1/65, Janakpuri,
New Delhi, INDIA - 110058
e-mail :::: amit@eqamit@eqamit@eqamit@eq----comp.comcomp.comcomp.comcomp.com

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EQ-COMP - Process Simulation Software

  • 1. The ultimate answer to all your vapor-liquid equilibrium needs EQEQEQEQEQEQEQEQ--------COMP : The VLE SimulatorCOMP : The VLE SimulatorCOMP : The VLE SimulatorCOMP : The VLE SimulatorCOMP : The VLE SimulatorCOMP : The VLE SimulatorCOMP : The VLE SimulatorCOMP : The VLE Simulator
  • 2. VAPOR-LIQUID EQUILIBRIUM CONCEPT PURE COMPOUNDS • Vapor-Liquid Equilibrium curves for pure compounds are Pressure- Temperature plots showing the variation of boiling/bubbling temperatures with pressures. • These curves end at critical point corresponding to critical temperature and critical pressure • The compound can be vaporized at a constant temperature lower than critical temperature from an initial pressure beyond critical pressure by decreasing the pressure. • Similarly compound can be liquefied at a constant pressure below critical pressure from an initial temperature higher than critical temperature by decreasing the temperature • The compound can not be liquefied or vaporized by variation of temperature at constant pressure or by variation of pressure at constant temperature incase the both the initial temperature and pressure of compound are higher than critical values. • Beyond critical point, the compound can not be characterized as liquid or vapor thus resulting in absence of vapor-liquid equilibrium and VLE curve beyond critical point.
  • 3. VAPOR-LIQUID EQUILIBRIUM CONCEPT VLE CURVE OF A PURE COMPOUND VLE curve of Methane (CH4) PHASE ENVELOP 0.00 25.00 50.00 75.00 100.00 125.00 150.00 175.00 200.00 0.4 40.4 80.4 120.4 160.4 200.4 240.4 280.4 320.4 360.4 400.4 440.4 480.4 520.4 560.4 600.4 640.4 680.4 720.4 760.4 800.4 PRESSURE (BARS) TEMPERATURE(K) BUBBLE PT DEW PT
  • 4. VAPOR-LIQUID EQUILIBRIUM CONCEPT HYDROCARBON MIXTURES • Vapor-Liquid Equilibrium curves for hydrocarbon mixtures are generally closed envelopes known as Phase envelopes comprising of bubble point curve and dew point curve. • Bubble point curve is the plot of pressure of the mixture (bubble point pressure) with the temperature at which vaporization of the mixture starts/ first bubble of vapor is formed (bubble point temperature or initial boiling point temperature). • Dew point curve is the plot of pressure of the mixture (dew point pressure) with the temperature at which vaporization of the mixture ends/ single drop of liquid remains (dew point temperature or final boiling point temperature). • The meeting point of bubble point curve and dew point curve on phase envelope is the critical point of the hydrocarbon mixture. • Inside the Phase envelope in general and between initial and final boiling temperatures in particular, the hydrocarbon mixture exists in two phases i.e. partially in liquid and partially in vapor phase. • Unlike VLE curves for pure compounds, VLE curves for hydrocarbon mixtures extend beyond critical pressure to cricondenbar (point of maximum pressure on the phase envelope) and beyond critical temperature to cricondentherm (point of maximum temperature on the phase envelope).
  • 5. VAPOR-LIQUID EQUILIBRIUM CONCEPT PHASE ENVELOPE FOR A HYDROCARBON MIXTURES Phase envelope of a typical Natural Gas composition CH4 : 90 %, C2H6 : 6.2 %, C3H8 : 2.3 %, i-C4H10 : 0.4 %, n-C4H10 : 0.55 %, n-C5H12 : 0.03 %, N2 : 0.52 % PHASE ENVELOP 0.00 25.00 50.00 75.00 100.00 125.00 150.00 175.00 200.00 225.00 250.00 275.00 0.4 40.4 80.4 120.4 160.4 200.4 240.4 280.4 320.4 360.4 400.4 440.4 480.4 520.4 560.4 600.4 640.4 680.4 720.4 760.4 800.4 PRESSURE (BARS) TEMPERATURE(K) BUBBLE PT DEW PT
  • 6. VLE PROPERTIES DETERMINATION AND ITS UTILITY UTILITY OF VLE PROPERIES VLE Properties like bubble point, dew point, two phase composition, critical point, cricondentherm, cricondenbar etc. form the basis of complete hydrocarbon industry and have immense usage in all kinds of hydrocarbon operations as well as in all other areas even remotely related to hydrocarbons. Some uses of VLE properties are: • VLE Properties are required in designing of hydrocarbon plants like oil refineries, LPG plant, LNG liquefaction and gasification plants, Petrochemical plants etc.. They have roles in designing of all equipments of these plants like storage tanks, flash chambers, distillation towers, pumps etc. • VLE Properties are required in all kinds of petroleum upstream calculations like oil and gas well simulation and designing of multiphase flow pipelines. • Prediction of these properties is useful in simulating various planetary atmospheres which contain varying proportions of hydrocarbons like methane, ethane and propane and some inorganic gases like N2, H2S, H2 and CO2.
  • 7. VLE PROPERTIES DETERMINATION AND ITS UTILITY DETERMINATION OF VLE PROPERIES VLE Properties like bubble point, dew point, two phase composition, critical point, cricondentherm, cricondenbar etc. for binary mixtures are easy to calculate but determination of these properties for multicomponent mixtures require complex calculations involving complex equations. Optimization of these calculations to include maximum number of components and plotting of correct phase envelopes for multicomponent mixtures presents further challenge. These calculations can only be calculated using latest computers. These calculations further require complex computer programs to automate them so that the results can be generated at the click of a button.
  • 8. INTRODUCTION TO EQ-COMP • EQ-COMP is a VLE calculation software that can accurately calculate various VLE properties like bubble point, dew point, two phase compositions, critical point, cricondentherm, cricondenbar etc. for multicomponent hydrocarbon mixtures. • EQ-COMP is one of its kind software in the world which is made single- handedly with basic infrastructure using very basic software tool like MS excel but gives results comparable to other such world class softwares made using most advanced software tools, vast infrastucture and large teams of scientists and developers. • EQ-COMP is a very complex combination of macro programs of MS excel written using Visual Basic for Applications programming language for calculating multicomponent vapor-liquid equilibrium properties automatically at the click of a button. • EQ-COMP is useful in finding out vapor-liquid equilibrium properties for a hydrocarbon mixture for any composition. It has been optimised to include any number of non-polar or slightly polar compounds subject to a maximum limit of 112 compounds. • Various modules of EQ-COMP can be used to find out various VLE properties even in retrograde region and for compositions involving high proportions of non-condensables. • The phase envelope generated using EQ-COMP consists of equilibrium temperature values at a specified interval of 0.4 bars clearly marking the critical point of mixture with easily locatable cricondenbar and cricondentherm.
  • 9. CALCULATIONS & EQUATIONS USED IN EQ-COMP • EQ-COMP calculates VLE properties using Peng-Robinson cubic equation of state which is the preferred equation for such calculations for non-polar and slightly polar compounds • EQ-COMP uses modified version of Peng-Robinson equation published in 1978 • In designing of EQ-COMP, trends of various phase envelop curves for different compositions developed using first principles have been carefully studied and generalized to fit other compositions. • EQ-COMP does not use any popular converging method but uses very long and un-conventional for such calculations but tried and tested and very reliable first principle approach and basic but standard calculation tools like MS excel for carrying out the calculations. So EQ-COMP may sometimes take very long time in generating results but the chances of the results being incorrect under the preview of Peng-Robinson cubic equation of state is almost nil. • Binary interaction parameters values can be included in the calculations in EQ-COMP to increase the accuracy of the VLE results. • EQ-COMP is among the very few similar software in the world which have included temperature dependent binary interaction parameters as per Predictive Peng Robinson 78 (PPR 78) equation in its calculations. These parameters are specifically used for calculating reasonably accurate water dew point values and curves for hydrocarbon mixtures. • EQ-COMP can include constant binary interaction parameters calculated using critical volumes of interacting hydrocarbons.
  • 10. EXCLUSIVE FEATURES OF EQ-COMP Some of the exclusive features and results possible with EQ-COMP are: • Phase equilibrium curve with temperature-pressure data for any pure non-polar or mildly polar compound with known critical temperature, critical pressure accentricity factor. • VLE properties like bubble point temperature, bubble point pressure, dew point temperature, dew point pressure, two phase composition, bubble point composition, dew point composition etc. for almost any hydrocarbon mixture involving any number of non-polar or mildly polar hydrocarbons. • Complete phase envelope for almost any hydrocarbon mixture with critical point, cricondenbar, cricondentherm and multiple critical points. • VLE properties in the retrograde region. • VLE properties and Phase envelope for hydrocarbon mixtures involving high concentration of non-condensables. • Prediction of state of hydrocarbon mixture (liquid, vapour, two phase or super critical) at a particular temperature and pressure. • Customisation of software to include any other non-polar or mildly polar hydrocarbon in the calculations as per client’s requirement. • Inclusion of values of binary interaction parameters provided by the client to generate results. • Inclusion of constant binary interaction parameters in case desired by the client.
  • 11. EXCLUSIVE FEATURES OF EQ-COMP Continued • Generation of liquid and vapour compressibility factors for any hydrocarbon mixture over a range of temperatures and pressures. • Generation of x-y, T-x-y, H-x-y and critical point profile for any binary mixture comprising of non-polar or mildly polar hydrocarbons. • Calculation of enthalpy change from standard conditions, entropy change from standard conditions, gibbs free energy change from standard conditions, heat capacity at constant pressure (Cp), heat capacity at constant volume (Cv), heat capacity ratio (Cp/Cv) and Sonic speed for any hydrocarbon mixture at a given pressure and corresponding bubble and dew point temperatures and throughout the phase envelope at increments of 0.4 bars.
  • 12. APPLICATIONS OF EQ-COMP Some of the possible applications of EQ-COMP are: • EQ-COMP can be used to predict phase equilibrium curves for pure hydrocarbons and supercritical properties so it can be used to design storage tanks for pure hydrocarbons. • EQ-COMP can be used to predict the bubble point, hydrocarbon dew point and two phase properties for multicomponent hydrocarbon mixtures so it can be used to design multicomponent distillation columns and multicomponent flash chambers/ storage tanks. • EQ-COMP can predict cricondentherm, cricondenbar, critical point, retrograde condensation region etc. very accurately so it can be used for oil well simulation studies during oil well planning. • EQ-COMP predicts cricondentherm very accurately using Peng- Robinson cubic equation of state so it can be used to fix the temperature at which the natural gas should be supplied to the power plants and this temperature specification is mentioned in Natural gas contracts for natural gas based power plants and cogen plants. • EQ-COMP can predict various phase equilibrium properties for hydrocarbon mixtures so it can also be used to simulate planetary atmospheres like that of Titan, the moon of Saturn which contains mixture of Nitrogen and Methane in varying proportions. • EQ-COMP can accurately find out various VLE properties at low as well as high pressures and can further post-process the data generated by running various modules of EQ-COMP number of times to generate Concentration diagrams, Temperature-Concentration diagrams and Enthalpy-Concentration diagrams for any binary mixture comprising of non-polar or mildly polar hydrocarbons at any pressure so it can be used directly for designing distillation columns for binary mixtures.
  • 13. APPLICATIONS OF EQ-COMP Continued from previous slide - • EQ-COMP can calculate enthalpy change from standard conditions, entropy change from standard conditions, gibbs free energy change from standard conditions, heat capacity at constant pressure (Cp), heat capacity at constant volume (Cv), heat capacity ratio (Cp/Cv) and Sonic speed at desired pressure values and correspomding bubble point and dew point temperature values of hydrocarbon mixture. Also it can calculate the above values for any hydrocarbon mixture throughout the phase envelope at increments of 0.4 bars. This enables the calculation of enthalpy changes, entropy changes and gibbs energy changes between saturated vapour and saturated liquid apart from heat capacity, heat capacity ratio and sonic speed values for saturated vapour and saturated liquid for any hydrocarbon mixture. These values have extensive usage in engineering calculations involving hydrocarbons. These are some of the possible practical applications of EQ-COMP. Apart from these, EQ-COMP can be extensively used in various other natural gas processing, petrochemical and refinery design applications and in research studies in various research laps wherever accurate prediction of vapour liquid equilibrium properties for pure hydrocarbons or hydrocarbon mixtures is required.
  • 14. BINARY VLE USING EQ-COMP For multicomponent distillation, separate detailed tray by tray calculations performed iteratively may be required for optimized design of the distillation column but simpler calculation procedures exist for binary distillation. Distillation columns for binary mixtures can be designed by very simple McCabe-Thiele method and slightly more complex and more accurate Ponchon-Savarit method. Both these methods require Concentration diagrams (x-y plot) and Temperature- Concentration diagrams (T-x-y plot) at the operating pressure of the distillation column. Ponchon-Savarit method requires enthalpy- concentration diagram in addition to these two diagrams. EQ-COMP can be used to design multicomponent distillation columns by calculating VLE properties at each of the tray conditions separately step by step. EQ-COMP can accurately find out various VLE properties at low as well as high pressures and can further post-process the data generated by running various modules of EQ-COMP number of times to generate Concentration diagrams (x-y plot), Temperature-Concentration diagrams (T-x-y plots) and Enthalpy-Concentration diagram (H-x-y plots) for any binary mixture comprising of non-polar or mildly polar hydrocarbons at any pressure. These diagrams can be used in McCabe- Thiele method or Ponchon-Savarit method to find out various design parameters like theoretical number of trays, feed tray location, reflux ratio etc. for distillation columns for binary mixtures.
  • 15. CALCULATION MODULES OF EQ-COMP Various calculation modules of EQ-COMP along with the results generated by them are given below: • Bubble point temperature module: It calculates the bubble point temperature/s, equilibrium constants (K values) and compositions at a given pressure. In addition it calculates liquid and vapor compressibility factor values, molecular weights and densities at bubble point. Also it gives Equilibrium temperature, compositions, K values and compressibility factor values at pressure values throughout the bubble point curve at increments of 0.4 bars. • Hydrocarbon dew point temperature module: It calculates the dew point temperature and compositions at a given pressure. In addition it calculates liquid and vapor compressibility factor values, molecular weights and densities at dew point. Also it gives Equilibrium temperature, compositions, K values and compressibility factor values at pressure values throughout the hydrocarbon dew point curve at increments of 0.4 bars. • Bubble point pressure module: It calculates the bubble point pressure and compositions at a given temperature. In addition it calculates liquid and vapor compressibility factor values, molecular weights and densities at bubble point. Also it gives Equilibrium temperature, compositions, K values and compressibility factor values at pressure values throughout the bubble point curve at increments of 0.4 bars.
  • 16. CALCULATION MODULES OF EQ-COMP Continued from previous slide - • Hydrocarbon dew point pressure module: It calculates the dew point pressure and compositions at a given temperature. In addition it calculates liquid and vapor compressibility factor values, molecular weights and densities at dew point. Also it gives Equilibrium temperature, compositions, K values and compressibility factor values at pressure values throughout the hydrocarbon dew point curve at increments of 0.4 bars. • Two phase composition module: It calculates the two-phase compositions along with liquid and vapor compressibility factor values, molecular weights and densities at given conditions and at bubble point temperatures and dew point temperatures for the given pressure conditions. Also it gives Equilibrium temperature, compositions, K values and compressibility factor values at pressure values throughout the phase envelope including bubble point curve and hydrocarbon dew point curve at increments of 0.4 bars. • Phase envelope module: It gives temperature and pressure values for the complete phase envelope along with plot of phase envelope. It also provides critical point temperature and pressure values and bubble point and dew point compositions and properties at critical point. Also it gives equilibrium temperature, compositions, K values and compressibility factor values at pressure values throughout the phase envelope including bubble point curve and hydrocarbon dew point curve at increments of 0.4 bars.
  • 17. CALCULATION MODULES OF EQ-COMP Continued from previous slide - • Water dew point temperature module: It calculates the water dew point temperature value at given pressure. Also it gives water dew poin temperature, compositions, K values and compressibility factor values at pressure values throughout the water dew point curve at increments of 0.4 bars along with plot of water dew point curve. • Liquid compressibility factor calculation module: It calculates liquid compressibility factor values for the provided range of temperatures and pressures with provided increments in temperatures and pressures • Vapor compressibility factor calculation module: It calculates vapor compressibility factor values for the provided range of temperatures and pressures with provided increments in temperatures and pressures • Binary VLE calculation module: It calculates bubble point temperature and dew point temperature at desired pressure and phase envelope data for binary mixtures of same compounds with 9 different compositions starting from 0 % of one compound to 100 % of that compound with increments of 12.5 %. It calculates liquid and vapor compressibility factors, liquid and vapor densities and liquid and vapor molecular weights on 15 points on concentration diagram (x-y plot) Further it generates concentration diagram (x-y plot), concentration diagram (x-y plot) data, temperature-concentration diagram (T-x-y plot), Temperature-concentration diagram (T-x-y plot) data, Enthalpy- concentration diagram (H-x-y plot), Enthalpy-concentration diagram (H- x-y plot) data and critical point locus curve for the binary mixtures.
  • 18. CALCULATION MODULES OF EQ-COMP Continued from previous slide - • Thermodynamic properties calculation module: It calculates enthalpy change from standard conditions, entropy change from standard conditions, gibbs free energy change from standard conditions, heat capacity at constant pressure (Cp), heat capacity at constant volume (Cv), heat capacity ratio (Cp/Cv) and Sonic speed at desired pressure values and correspomding bubble point and dew point temperature values of hydrocarbon mixture. In addition it calculates temperature, enthalpy change from standard conditions, entropy change from standard conditions, gibbs free energy change from standard conditions, heat capacity at constant pressure (Cp), heat capacity at constant volume (Cv), heat capacity ratio (Cp/Cv) and Sonic speed at pressure values throughout the bubble point and dew point curve at increments of 0.4 bars. • Composition Profile calculation module: It calculates Equilibrium temperature, compositions, K values and compressibility factor values at pressure values throughout the bubble point and dew point curve at increments of 0.4 bars. Further it calculates bubble point and dew point temperature/s, compositions, K values, liquid and vapour compressibility factor values, liquid and vapour densities and liquid and vapour molecular weights at upto 10 pressure values on the pressure profile of a pipeline. It also calculates two phase compositions, K values, liquid and vapour compressibility factor values, liquid and vapour densities and liquid and vapour molecular weights at upto 10 temperature values and corresponding pressure values on a pipeline.
  • 19. BENEFITS OF EQ-COMP IN COMPARISON WITH OTHER SIMILAR SOFTWARES • A conventional simulation software though an extension of EQ-COMP cost may cost close to a 100,000 USD with various limitations to number of users and time validity of licence. EQ-COMP is the basis of some main modules of these simulation softwares. Services of EQ-COMP can be availed at an extremly low cost on per calculation basis. • EQ-COMP is offered on software as a service (SAAS) model where ready results of the queries are provided to the customer as a service. This way the customer would not have to arrange for infrastructure like a standalone high-end computer with suitable backend softwares programs for running and safeguarding the software. Also the customer would not have to learn how to operate the software as ready results of the queries would be provided to him through e-mail. The only requirement for availing the services of EQ-COMP is a valid official e- mail address to send and receive queries for which any internet enabled computer can be used. This way the results can be obtained by the Engineer/ Scientist even when he is not in his office during off hours or while on site when he can not use his office resources. • A conventional simulation softwares has number of modules meant for different industries, all of which may not be required by one client. EQ- COMP has been specifically designed for hydrocarbon industry complying specific requirements which can be foreseen before paying for the services of EQ-COMP. • EQ-COMP can give almost any result involving hydrocarbon VLE most accurately using the preferred Peng-Robinson equation of state making it truly world-class as far as final results of the software are concerned.
  • 20. LIMITATIONS OF EQ-COMP • The results of EQ-COMP are based on standard chemical engineering equations. These results may not completely match with experimental results. So while asking for or using the results it should be kept in mind that these are just theoretical calculations calculated using modern computers as calculating them otherwise may not be possible or may be very difficult. • As EQ-COMP uses MS Excel for calculations so the results would not be calculated online but be calculated on a standalone PC based on the data entered into the form on the website www.eq-comp.com and sent to our office in New Delhi, INDIA through e-mail by submitting it on the website. Because of time difference between the country from where enquiry is send and India, the enquiry may take upto 24 hours to clear. The final result will be sent through e-mail to the user in the form of an MS Excel attachment. • EQ-COMP, though world-class as far as final output is concerned, is a solo effort using very basic infrastructure and basic software tools like MS-excel. MS-excel is not designed for such extensive calculations and plenty of inherent limitations of MS-excel have been overcome in development of EQ-COMP. Still some areas of improvements and shortcomings may exist in EQ-COMP which have yet remained unnoticed The same may be conveyed at info@eq-comp.com.
  • 21. DESIGNER’S/DEVELOPER’S PROFILE EQ-COMP is the result of more than 10 years of continuous research in the field of vapour-liquid equilibrium and involves extensive software development effort to optimize and automate the calculations. It has been designed and developed by Mr. Amit Katyal who is a Bachelor in Chemical Engineering from the prestigious Indian Institute of Technology, Delhi, INDIA. He has a total experience of more than 20 years in hydrocarbon sector in diverse segments like research, operations, technical services and marketing.
  • 22. HOW TO AVAIL SERVICES OF EQ-COMP EQ-COMP software is not available for purchase on license basis but is available for use as per SAAS (Software as a service) model. Services of EQ-COMP can be availed on per calculation basis. The calculations can be availed by logging into the VLE Calculator page of the website, www.eq-comp.com . New users should mention their name and e-mail id for registering with the website. The password for logging into the VLE Calculator would be sent to the user at the e-mail ID mentioned while registration. The request for calculation results may take upto 24 hours to clear depending on the time difference between the Country of origin of the request and INDIA as the same would have to be fed into EQ- COMP application at our office in INDIA for getting the results which will then be sent to the registered e-mail as an MS Excel attachment.
  • 23. SAMPLE RESULTS FROM EQ-COMP The phase envelop result for a standard natural gas composition calculated using EQ-COMP is given below: Methane : 70 %, Ethane : 15 %, Propane : 8 % i-Butane : 2 %, n-Butane : 2 %, n-Pentane : 1 % 2 Methyl Butane : 1 %, n-Hexane : 1 %
  • 24. SAMPLE RESULTS FROM EQ-COMP The phase envelop result for a non-standard composition with high proportion of non-condensables using EQ-COMP is given below: Methane : 10%, n-Hexane : 10%, n-Heptane : 10% n-Octane : 20 %, Nitrogen : 50 %
  • 25. SAMPLE RESULTS FROM EQ-COMP x-y plot for methane-ethane mixture at 10 bars pressure (generated by EQ-COMP) MOLE FRACTION PLOT 0 0.2 0.4 0.6 0.8 1 1.2 00.025 0.050.075 0.10.125 0.150.175 0.20.225 0.250.275 0.30.325 0.350.375 0.40.425 0.450.475 0.50.525 0.550.575 0.60.625 0.650.675 0.70.725 0.750.775 0.80.825 0.850.875 0.90.925 0.950.975 1 LIQ MOLE FRACTION - HIGH VOLATILE VAPMOLEFRACTION-HIGHVOLATILE BINARY COMPOSITION DATA
  • 26. SAMPLE RESULTS FROM EQ-COMP T-x-y plot for methane-ethane mixture at 10 bars pressure (generated by EQ-COMP) T-x-y DIAGRAM 0 50 100 150 200 250 300 00.025 0.050.075 0.10.125 0.150.175 0.20.225 0.250.275 0.30.325 0.350.375 0.40.425 0.450.475 0.50.525 0.550.575 0.60.625 0.650.675 0.70.725 0.750.775 0.80.825 0.850.875 0.90.925 0.950.975 1 PERCENTAGE TEMPERATURE(K) BUBBLE PT TEMPERATURE DEW PT TEMPERATURE
  • 27. SAMPLE RESULTS FROM EQ-COMP H-x-y plot for methane-ethane mixture at 10 bars pressure (generated by EQ-COMP) ENTHALPY CONCENTRATION DIAGRAM -14 -12 -10 -8 -6 -4 -2 0 0 12.5 25 37.5 50 62.5 75 87.5 100 MOLE FRACTION ENTHALPY(KJ/GMMOLE) LIQUID ENTHALPY VAPOR ENTHALPY
  • 28. SAMPLE RESULTS FROM EQ-COMP Critical point profile for methane-ethane mixture (generated by EQ- COMP) CRITICAL POINT CURVE 0 20 40 60 80 100 120 140 160 180 200 150.00 160.00 170.00 180.00 190.00 200.00 210.00 220.00 230.00 240.00 250.00 260.00 270.00 280.00 290.00300310320330340350360370380390400410420430440450460470480490500510520530540550560570580590600610620630640650660670680690700710720730740750 CRITICAL TEMPERATURE (K) CRITICALPRESSURE(BARS)
  • 29. THANKS Amit Katyal D-1/65, Janakpuri, New Delhi, INDIA - 110058 e-mail :::: amit@eqamit@eqamit@eqamit@eq----comp.comcomp.comcomp.comcomp.com