Analytical solution of reactor design equation: Consider the irreversible reaction, which occurs in the gas phase, under isothermal and isobaric conditions:A + B → 2C + DThe applicable rate law (non-elementary) is –rA= kCACB. Assume A is the limiting reactant.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.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.

(1) For the reaction given in the question rate law expression is given as follows:Where CA…

Answered: Analytical solution of reactor design…

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

Section: Chapter Questions

Problem 1.1P

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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 –r_A= kC_AC_B. Assume A is the limiting reactant.

Write out the full rate law expressionas a function of conversion X_A, given F_A0= 1 moles/min and F_B0= 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.
What is the PFR reactor volumerequired to achieve a conversion of X_A= 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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