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Initially one side is filled with pure 'A', and the other with an inert gas T. Both sides are at the same pressure (1 atm.), the same temperature, and contain the same number of moles. The reaction is carried out isothermally and the rate constant for the reaction is 0.1 min'. a. After 10 minutes the membrane ruptures. What is the pressure differential rating of the membrane? What is the conversion at this time? b. If the mixture continues to react after the membrane is ruptured, how much longer does it take for the conversion to reach 90% (based on the initial moles of A)? c. Sketch the pressure versus time behavior for the entire duration. Mark all the important values on your diagram.

Initially one side is filled with pure 'A', and the other with an inert gas T. Both sides are at the same pressure (1 atm.), the same temperature, and contain the same number of moles. The reaction is carried out isothermally and the rate constant for the reaction is 0.1 min'. a. After 10 minutes the membrane ruptures. What is the pressure differential rating of the membrane? What is the conversion at this time? b. If the mixture continues to react after the membrane is ruptured, how much longer does it take for the conversion to reach 90% (based on the initial moles of A)? c. Sketch the pressure versus time behavior for the entire duration. Mark all the important values on your diagram.

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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The elementary gas-phase reaction A → 3B is carried out in a cylindrical batch reactor divided by a thin metallic membrane into two compartments of equal volume, as shown in the figure below. Pure A Pure I Initially one side is filled with pure 'A', and the other with an inert gas T. Both sides are at the same pressure (1 atm.), the same temperature, and contain the same number of moles. The reaction is carried out isothermally and the rate constant for the reaction is 0.1 min. a. After 10 minutes the membrane ruptures. What is the pressure differential rating of the membrane? What is the conversion at this time? b. If the mixture continues to react after the membrane is ruptured, how much longer does it take for the conversion to reach 90% (based on the initial moles of A)? c. Sketch the pressure versus time behavior for the entire duration. Mark all the important values on your diagram. HINT; Note that in each phase (before and after rupture) the reaction is occurring in a constant volume batch reactor. This should simplify the calculations tremendously. You just need to make sure to recalculate the concentrations, total number of moles, and pressure after the rupture event.
Transcribed Image Text:The elementary gas-phase reaction A → 3B is carried out in a cylindrical batch reactor divided by a thin metallic membrane into two compartments of equal volume, as shown in the figure below. Pure A Pure I Initially one side is filled with pure 'A', and the other with an inert gas T. Both sides are at the same pressure (1 atm.), the same temperature, and contain the same number of moles. The reaction is carried out isothermally and the rate constant for the reaction is 0.1 min. a. After 10 minutes the membrane ruptures. What is the pressure differential rating of the membrane? What is the conversion at this time? b. If the mixture continues to react after the membrane is ruptured, how much longer does it take for the conversion to reach 90% (based on the initial moles of A)? c. Sketch the pressure versus time behavior for the entire duration. Mark all the important values on your diagram. HINT; Note that in each phase (before and after rupture) the reaction is occurring in a constant volume batch reactor. This should simplify the calculations tremendously. You just need to make sure to recalculate the concentrations, total number of moles, and pressure after the rupture event.
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