The following reaction rate, −rA measured in units of [kmol/hr.m3] is observed at a particular conversion, X: Reaction rate Conversion 78 0.0 106 0.2 120 0.4 70 0.6 The area under this curve is rel

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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The following reaction rate, −rA measured in units of [kmol/hr.m3] is observed at a particular conversion, X:

Reaction rate Conversion
78 0.0
106 0.2
120 0.4
70 0.6

The area under this curve is related to the volume of the plug flow reactor.

  1. Start from the general mol balance and derive the equation that shows the area is equal to the plug flow reactor's volume; clearly state all assumptions used in your derivation.
  2. Assuming these assumptions are all met, calculate the plug flow reactor's volume to achieve a 60% conversion given a feed rate of 15 mol.s−1 to the reactor.
  3. If there is zero conversion at the entry to the PFR and 60% at the exit; what is the conversion halfway along the reactor?
  4. What is the reaction rate at the entry of the reactor?
  5. What is the reaction rate at the midpoint?
  6. What is the reaction rate at the exit?
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