Vapor / Liquid Equilibrium Using HYSYS
yi i P xi i Pi
sat
Prepared by: A.N.Tabish Lab. Engineer / Lecturer
Department of Chemical Engineering UET, City Campus, Lahore March 31, 2019
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Example # 10.3:* For the system methanol (1) / methyl acetate (2) , the following equations provide a reasonable correlation for the activity coefficient
ln 1 Ax2
2
ln 2 Ax1
2
A 2.771 0.00523T
Where,
In addition following equations provide vapor pressures:
3643.31 lnP1 16.59158 T 33.424 2665.51 sat lnP2 14.25326 T 53.424 sat
Where T is in kelvin and the vapor pressure are in kPa. * J.M.Smith, H.C.Van Ness and M.M.Abott (2005), “Introduction to Chemical March 31,Engineering 2019
[email protected] Thermodynamics”, Ed. 7, pp. 359, McGraw Hill
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CALCULATE: 1. P and {y1}, for T = 318.15 K and {x1}= 0.25 2. P and {x1}, for T = 318.15 K and {y1}= 0.60 3. T and {y1}, for P = 101.33kPa and {x1}= 0.85 4. T and {x1}, for P = 101.33kPa and {y1}= 0.40
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Solution Strategy:
Start a new case in HYSYS. Define components Select Thermodynamic model. Draw the PFD (material streams) Define
1. 2. 3. 4.
Composition Vapor fraction Mole/mass flow rate Temperature / Pressure
Determine BUBL/DEW Pressure/Temperature Determine composition using K-Value information
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HYSYS:
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Start a new case in HYSYS. Define components (Methanol + Methyl Acetate).
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Select NRTL model.
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Draw the PFD (1 material streams)
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Vapor Pressure of Methanol
44.51kPa using Antoine Equation
Vapor Pressure of Methyl Acetate
65.64kPa using Antoine Equation
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BUBL Pressure: 1.
P and {y1}, for T = 318.15 K and {x1}= 0.25
73.50 kPa in manual calculations March 31, 2019
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Vapor compositions:
yi Ki xi
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y1 = 0.278
y1 = 0.282
y2 = 0.722
y2 = 0.718
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DEW Pressure:
2.
P and {x1}, for T = 318.15 K and {y1}= 0.60
62.89 kPa in manual calculations March 31, 2019
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Liquid compositions:
yi Ki xi
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x1 = 0.8099
x1 = 0.8169
x2 = 0.1901
x2 = 0.1831
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BUBL Temperature: 3.
T and {y1}, for P = 101.33kPa and {x1}= 0.85
331.20K = 58 oC in manual calculations March 31, 2019
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Vapor compositions:
yi Ki xi
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y1 = 0.671
y1 = 0.670
y2 = 0.329
y2 = 0.330
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DEW Temperature: 4.
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T and {x1}, for P = 101.33kPa and {y1}= 0.40
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326.70K = 53.7 oC in manual calculations 16
Liquid compositions:
yi Ki xi
March 31, 2019
x1 = 0.4517
x1 = 0.4602
x2 = 0.5483
x2 = 0.5398
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VLE Plot: Download registry files from http://people.clarkson.edu/~wilcox/Design/EqPlots.dll http://people.clarkson.edu/~wilcox/Design/EqPlots.edf and save them to your computer at some safe place. Create a case containing the components of interest and choose a suitable fluid package. Go to the Simulation Environment Go to Tools/Preferences/Extensions and Click on Register an Extension. Find EqPlots.dll and open it. This will remain part of HYSYS or UniSim on your machine until it is Unregistered. Close Preference. Go to Flowsheet/Add Operation. Select the Extensions category and Add Equilibrium Plots. This should open the equilibrium plots extension. For a Binary plot, click the Binary tab at the bottom of the Equilibrium Plots menu, and select the components and the type of plot desired. For an XY plot, specify either T or P, and click on Plot. For a TXY plot, specify P. For a PXY plot, specify T. March 31, 2019
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Example # 10.4:* For a mixture of 10 mol-% methane, 20 mol-% ethane, and 70 mol-% propane at 50 (oF), determin: 1. The dew point pressure 2. The bubble point pressure
* J.M.Smith, H.C.Van Ness and M.M.Abott (2005), “Introduction to Chemical March 31,Engineering 2019
[email protected] Thermodynamics”, Ed. 7, pp. 364, McGraw Hill
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Home Work Task: 1. Assuming the validity of Raoult's law, do the following calculations for the benzene (l)/toluene (2) system:
2. For the system ethyl ethanoate (1) and n-heptane (2) at 343.15 K (70"C)
BUBL P calculation for T = 343.15 K (70°C), x1 = 0.05. DEW P calculation for T = 343.15 K (70°C), y1 = 0.05. March 31, 2019
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Home Work Task Contd…. 3. Make the following VLE calculations for the methane (l) / ethylene (2) / ethane (3) system:
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