Reactants (B) and (C) react at 25°C as shown below: B + C R The reaction is in the liquid phase. The initial concentration of B and C initially is 0.05 kmol m-³. The rate equation for the system is first order with respect to both reactants — - ra = k CgCc The reaction rate constant k is 5.0 x10-³ m³ kmol-¹ s-¹. (a) Derive the integral rate expression for the bimolecular reaction in terms of CB. (b) If one employs a well-stirred isothermal batch reactor to carry out this reaction, determine the holding time necessary to achieve 90% conversion of B. (c) What would the conversion be using a CFSTR if the same holding time were used?

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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Reactants (B) and (C) react at 25°C as shown below:
B + C
R
The reaction is in the liquid phase. The initial concentration of B and
C initially is 0.05 kmol m-³.
The rate equation for the system is first order with respect to both
reactants
– ra = k CgCc
The reaction rate constant k is 5.0 x10-³ m³ kmol-¹ s-1.
(a) Derive the integral rate expression for the bimolecular reaction
in terms of CB.
(b) If one employs a well-stirred isothermal batch reactor to carry
out this reaction, determine the holding time necessary to
achieve 90% conversion of B.
(c) What would the conversion be using a CFSTR if the same
holding time were used?
Transcribed Image Text:Reactants (B) and (C) react at 25°C as shown below: B + C R The reaction is in the liquid phase. The initial concentration of B and C initially is 0.05 kmol m-³. The rate equation for the system is first order with respect to both reactants – ra = k CgCc The reaction rate constant k is 5.0 x10-³ m³ kmol-¹ s-1. (a) Derive the integral rate expression for the bimolecular reaction in terms of CB. (b) If one employs a well-stirred isothermal batch reactor to carry out this reaction, determine the holding time necessary to achieve 90% conversion of B. (c) What would the conversion be using a CFSTR if the same holding time were used?
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