Mass Balances for Binary Vapor-Liquid Equilibrium (VLE)

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This Demonstration illustrates what happens to a binary mixture, initially in vapor-liquid equilibrium, when a pure component is added at constant temperature and pressure. If both phases remain after the addition, it illustrates how the phase mole fractions remain constant ( is the mole fraction of
in the liquid,
is the mole fraction of
in the vapor). If enough of either pure component is added, the mixture is transformed to a single phase. The initial vapor-liquid mixture contains 2 mol of
and 2 mol of
at a pressure of 3 bar. Select the button "add
" or "add
" and use the slider to set the amount added. Adding a pure component changes the overall mole fraction of
in the mixture, as represented by the black point on the
-
-
diagram. If the overall mole fraction of
stays within the phase envelope, then
and
do not change. Select "mole balance" to see how this is possible. The size of a rectangle is proportional to the amount of that phase (blue is liquid, green is vapor). For example, adding
increases the vapor-to-liquid ratio, so some of the initial liquid vaporizes, and this amount is determined by a mass balance. For ease of visualization,
is shown being added as a vapor and
as a liquid, but the final equilibrium is the same if
is added as a liquid and
as a vapor because the system is isothermal. For example, if pure
were added as a liquid, it would vaporize to satisfy the mass balances.
Contributed by: Rachael L. Baumann and Megan Maguire (October 2014)
Additional contributions by: John L. Falconer
(University of Colorado Boulder, Department of Chemical and Biological Engineering)
Open content licensed under CC BY-NC-SA
Snapshots
Details
The pressure-composition -
-
diagram was made using Raoult's law:
,
,
where and
are the bubble and dew curves (bar),
is the mole fraction of
in the initial mixture with
and
is the saturation pressure calculated from the Antoine equation:
,
where ,
and
are Antoine constants.
The lever rule is used to calculate the amount of liquid and vapor present at an overall composition of :
amount of liquid = ,
amount of vapor = ,
where is the vapor mole fraction of
, and
is the liquid mole fraction of
.
The screencast video at [1] explains how to use this Demonstration.
Reference
[1] Mass Balances for Binary Vapor-Liquid Equilibrium (VLE) [Video]. (Oct 12, 2016) www.colorado.edu/learncheme/thermodynamics/MassBalanceBinaryVLE.html.
Permanent Citation