Introduction to Chemical Engineering Thermodynamics
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: McGraw-Hill Education
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  1. Analytical solution of reactor design equation: Consider the irreversible reaction, which occurs in the gas phase, under isothermal and isobaric conditions:

A  +  B →  2C  + D

The applicable rate law (non-elementary) is –rA= kCACB.  Assume A is the limiting reactant.

  1. Write out the full rate law expressionas a function of conversion XA, given FA0= 1 moles/min and FB0= 3 moles/min (inlet molar flow of products is zero). Show this rate expression two times, one with parameters only (no numbers substituted in) and the second with all known or calculated values inserted.
  2. What is the PFR reactor volumerequired to achieve a conversion of XA= 85% if the influent volumetric flow rate (v0) is 5 L/minute and the reaction rate constant k = 2.2 (L/moles) minutes-1?   Develop your solution by performing the analytical integration of the differential equation, using integration tables in Appendix A of the textbook.  Credit will not be given for part (b) of this problem unless the solution is shown analytically.
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