Let’s assume that the reaction, which in this case happens to be an elementary reaction, A → B + C occurs in an ideal isothermal batch reactor. The rate constant is k = 0.1 sec-1. Find the time required for CA to reach 0.5 x CA0 (i.e., half of its initial concentration).

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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Let’s assume that the reaction, which in this case happens to be an elementary reaction, A → B + C
occurs in an ideal isothermal batch reactor. The rate constant is k = 0.1 sec-1. Find the time required for
CA to reach 0.5 x CA0 (i.e., half of its initial concentration).

Expert Solution
Step 1

Given reaction is-

A →B+ C

Rate constant, k=0.1 sec-1

Initial concentration = CA0

Final concentration, CA= 0.5CA0 ( half of initial concentration)

The rate law for reaction is-

-rA=-dCAdt = kCA

or

-dCACA = kdt

 

 

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