Consider a flow reactor system (either CSTR or PFR, see below) in which the following reaction occurs:                 3A + 2B  →  C     and elementary reaction rate law of   -rA = k1*CA*CB2/3    k1 = 0.018 min-1   The molar feed rates are FA0 = 6 moles/min and FB0 = 5 moles/min (assume C is zero in the influent).  The volumetric flow rate is 2 liters/minute.    In answering each scenario given below, you must clearly show the complete kinetic rate equation, in terms of XA and known parameters (values) prior to presenting your design equation-based solution, in order to receive full credit.  Please show or state clearly the mathematical methods you have used to solve the reactor design equation.   What is the required volume of a CSTR in order to achieve a conversion of A of 70%? Assume constant volume liquid reaction conditions. What is the required volume of a PFR in order to achieve a conversion of A of 70%? Assume constant volume liquid reaction conditions. Now consider a PFR with all reactants and products in the gas phase, but with isothermal and isobaric conditions. What is the required volume of a PFR in order to achieve a conversion of A of 70% (all components gas phase)?

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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Consider a flow reactor system (either CSTR or PFR, see below) in which the following reaction occurs:

                3A + 2B  →  C     and elementary reaction rate law of   -rA = k1*CA*CB2/3    k1 = 0.018 min-1

 

The molar feed rates are FA0 = 6 moles/min and FB0 = 5 moles/min (assume C is zero in the influent).  The volumetric flow rate is 2 liters/minute.    In answering each scenario given below, you must clearly show the complete kinetic rate equation, in terms of XA and known parameters (values) prior to presenting your design equation-based solution, in order to receive full credit.  Please show or state clearly the mathematical methods you have used to solve the reactor design equation.

 

  1. What is the required volume of a CSTR in order to achieve a conversion of A of 70%? Assume constant volume liquid reaction conditions.
  2. What is the required volume of a PFR in order to achieve a conversion of A of 70%? Assume constant volume liquid reaction conditions.
  3. Now consider a PFR with all reactants and products in the gas phase, but with isothermal and isobaric conditions. What is the required volume of a PFR in order to achieve a conversion of A of 70% (all components gas phase)? 
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