Optimal Operation of a Batch Reactor with Dead Time

Consider a batch reactor in which an irreversible reaction, , is taking place. You can set the reaction rate order, . The reactor has a dead time, due to maintenance, filling, and emptying periods, whose value, expressed in hours, you can also set.
The Demonstration plots conversion versus time and gives the position of optimal operation of the reactor (shown by a green dot). This point is found by maximizing the production of the reactor or, alternatively, by drawing the red line tangent to the conversion versus time curve. Production versus time is given in a separate plot. If the dead time is small, short reaction times are advantageous even though 100% conversion is not reached. In such cases, production can be large. As you increase the dead time, longer reactor operations are more likely to obtain maximum production.


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

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 © 2017 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+