Autocatalytic reaction in a batch reactor Consider the reaction A → B in a batch reactor, where the rate of production of B is given as r = kCACB. The reaction is said to be autocatalytic, because the rate increases with the presence of B (in this case r is proportional to CB). The initial conditions are: CA(t=0) = CA,0 CB(t=0) = CB,0 = 0.01 CA,0 a) Write a differential equation that describes the time dependence of CB(t) and solve it using the Bernoulli equation approach. Assume that the reactor volume V is constant, the reactor is well mixed and the reaction is carried out under isothermal conditions. b) Use your favorite graphing software (e.g. Excel) and plot CB(t) for 5 values of k (of your choice) assuming that CA,0 = 1 mol/L.
Autocatalytic reaction in a batch reactor Consider the reaction A → B in a batch reactor, where the rate of production of B is given as r = kCACB. The reaction is said to be autocatalytic, because the rate increases with the presence of B (in this case r is proportional to CB). The initial conditions are: CA(t=0) = CA,0 CB(t=0) = CB,0 = 0.01 CA,0 a) Write a differential equation that describes the time dependence of CB(t) and solve it using the Bernoulli equation approach. Assume that the reactor volume V is constant, the reactor is well mixed and the reaction is carried out under isothermal conditions. b) Use your favorite graphing software (e.g. Excel) and plot CB(t) for 5 values of k (of your choice) assuming that CA,0 = 1 mol/L.
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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Autocatalytic reaction in a batch reactor Consider the reaction A → B in a batch reactor, where the rate of production of B is given as r = kCACB. The reaction is said to be autocatalytic, because the rate increases with the presence of B (in this case r is proportional to CB). The initial conditions are: CA(t=0) = CA,0 CB(t=0) = CB,0 = 0.01 CA,0 a) Write a differential equation that describes the time dependence of CB(t) and solve it using the Bernoulli equation approach. Assume that the reactor volume V is constant, the reactor is well mixed and the reaction is carried out under isothermal conditions. b) Use your favorite graphing software (e.g. Excel) and plot CB(t) for 5 values of k (of your choice) assuming that CA,0 = 1 mol/L.
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