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Problem 1 Consider the isomerization transformation of cis-2-butene to trans-2-butene. CH₁₂ CH₁₂ CH₁₂ H H CH3 H trans-2-butene cis-2-butene The reaction can be symbolically written as A → B The first order reaction (-rA = KCA) is carried out in a plug flow reactor. The volumetric flow rate, v is constant (v=vo). Also note that FA = V CA. a) Start with the design equation for plug flow reactor, dF dV Show that V = (vo/k) In (CAO/CA) b) Determine the reactor volume necessary to reduce the exiting concentration of A to 10% of entering concentration, when the volumetric flow rate is 10 dm³/min and k = 0.23 min¹. c) Calculate the volume of a CSTR for the conditions of part (b) above. d) Calculate the time necessary to reduce the number of moles of A to 1% of its initial value in a constant volume batch reactor for the data and reaction of above problem. [Note: It helps to start with the design equation of appropriate reactor]

Problem 1 Consider the isomerization transformation of cis-2-butene to trans-2-butene. CH₁₂ CH₁₂ CH₁₂ H H CH3 H trans-2-butene cis-2-butene The reaction can be symbolically written as A → B The first order reaction (-rA = KCA) is carried out in a plug flow reactor. The volumetric flow rate, v is constant (v=vo). Also note that FA = V CA. a) Start with the design equation for plug flow reactor, dF dV Show that V = (vo/k) In (CAO/CA) b) Determine the reactor volume necessary to reduce the exiting concentration of A to 10% of entering concentration, when the volumetric flow rate is 10 dm³/min and k = 0.23 min¹. c) Calculate the volume of a CSTR for the conditions of part (b) above. d) Calculate the time necessary to reduce the number of moles of A to 1% of its initial value in a constant volume batch reactor for the data and reaction of above problem. [Note: It helps to start with the design equation of appropriate reactor]

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: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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Problem 1 Consider the isomerization transformation of cis-2-butene to trans-2-butene. CH₁₂ CH₁₂ CH₁₂ H H CH3 H trans-2-butene cis-2-butene The reaction can be symbolically written as A → B The first order reaction (-rA = KCA) is carried out in a plug flow reactor. The volumetric flow rate, v is constant (v=vo). Also note that FA = V CA. a) Start with the design equation for plug flow reactor, dF dV Show that V = (vo/k) In (CAO/CA) b) Determine the reactor volume necessary to reduce the exiting concentration of A to 10% of entering concentration, when the volumetric flow rate is 10 dm³/min and k = 0.23 min¹. c) Calculate the volume of a CSTR for the conditions of part (b) above. d) Calculate the time necessary to reduce the number of moles of A to 1% of its initial value in a constant volume batch reactor for the data and reaction of above problem. [Note: It helps to start with the design equation of appropriate reactor]
Transcribed Image Text:Problem 1 Consider the isomerization transformation of cis-2-butene to trans-2-butene. CH₁₂ CH₁₂ CH₁₂ H H CH3 H trans-2-butene cis-2-butene The reaction can be symbolically written as A → B The first order reaction (-rA = KCA) is carried out in a plug flow reactor. The volumetric flow rate, v is constant (v=vo). Also note that FA = V CA. a) Start with the design equation for plug flow reactor, dF dV Show that V = (vo/k) In (CAO/CA) b) Determine the reactor volume necessary to reduce the exiting concentration of A to 10% of entering concentration, when the volumetric flow rate is 10 dm³/min and k = 0.23 min¹. c) Calculate the volume of a CSTR for the conditions of part (b) above. d) Calculate the time necessary to reduce the number of moles of A to 1% of its initial value in a constant volume batch reactor for the data and reaction of above problem. [Note: It helps to start with the design equation of appropriate reactor]
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