9814

Membrane Reactor for an Equilibrium-Limited Reaction

A porous membrane tube is used as a plug flow reactor containing a catalyst. This membrane reactor combines reaction with separation to obtain higher conversions for an equilibrium-limited reaction by selectively removing one of the products. The reversible reaction is , and product is selectively removed from the reactor by permeating through the membrane. The membrane is assumed to only permeate product , and the permeate pressure of is assumed to be zero. When the membrane permeance (which you can vary) is low, the reaction is equilibrium limited for large enough rate constants for the forward reaction. Increasing the permeance shifts the equilibrium to the right to obtain higher conversions. Increasing the reactor diameter decreases the conversion because the permeation area per reactor volume decreases. The molar flow rate divided by the cross sectional area of the reactor is plotted to make the comparison easier when the reactor diameter changes. You can also change the equilibrium constant.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

= molar flow rate of reactant
= molar flow rate of reactant
= molar flow rate of product
= molar flow rate of product
= total molar flow rate
= total initial molar flow rate
= initial molar flow rate of reactant
= initial molar flow rate of reactant
= reactor cross-sectional area
= reactor diameter
= volumetric flow rate
= initial volumetric flow rate
= rate of reaction (moles/time/volume)
= rate permeating
= reaction rate constant
= equilibrium constant
= membrane permeance, based on concentration difference
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.









 
RELATED RESOURCES
Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2014 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+