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Program used to draw McCabe-Thiele graphs for ethanol-water distillation to determine number of trays required for distillation

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For a binary mixture of ethanol and water, only one of the area fractions are required. An experiment was conducted for 4 different reflux ratios.

The area fraction of ethanol is reported from different tray locations corresponding (left to right): the feed, distillate, and bottom.

Ae
Ae = 4x3    
    0.2531    0.8103    0.0998
    0.2477    0.8321    0.1176
    0.2469    0.8400    0.1322
    0.2457    0.8456    0.1500

The reflux ratios are:

R
R = 4x1    
    0.7489
    1.3136
    1.8355
    2.3465

The units of the distillate and feed do not matter as long as they are consistent with each other. They are reported in mol/hr here.

D
D = 4x1    
   13.4285
   11.0532
    9.2384
    7.9985

F
F = 4x1    
   41.9629
   42.0177
   42.0003
   42.0018

Lastly, the feed temperatures were measured.

Tf
Tf = 4x1    
   26.8669
   27.0785
   26.9492
   26.7919

When running the main script, the xy and Txy diagrams are outputted. The xy diagram is useful for visualizing the liquid-vapour equilibrium of ethanol. It is also used to step trays off of. The Txy diagram is used to determine the boiling or dew point of a inlet mixture.

For a subcooled liquid we expect q > 1 and q < 1 for a superheated mixture. The xy diagram at 1 atm is shown as follows:

%plot_xy()

The Txy diagram at 1 atm is shown as follows:

%plot_txy()

The McCabe Thiele diagram for a binary mixture of ethanol and water at 1 atm for a reflux of 0.75 could be drawn as follows:

main(Ae(1,:),Tf(1),R(1),F(1),D(1))

figure_0.png

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Program used to draw McCabe-Thiele graphs for ethanol-water distillation to determine number of trays required for distillation

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