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The following liquid-phase, elementary reaction in series is carried out in a batch reactor: k1 k2 AB 20 The temperature remains constant during the entire process. The rate constant k, = 10 min and k2 = 4 min-1. Only A is present in the beginning of the reaction: CAO = 20 mol/dm³, CBO = Cco =0. a. (! - .. s) Please write down the rate of change of the concentration of each species, i.e., dCA, dCn, and d, in terms of solely rate constants and concentration of the species. dt dt dt w) Based on the rate law equations, it is determined that CA(t) = C10e¬kit and (e-kit-e-k2t b. 14 CB (t) = k,Ca0 ( ), k2=k1 please further determine the time t= tmax when Cg reaches its maximum value Cg,max· ( . ts) What is the maximum concentration of B, CB,max? What is the concentration of A when C reaches CB.max? c.

The following liquid-phase, elementary reaction in series is carried out in a batch reactor: k1 k2 AB 20 The temperature remains constant during the entire process. The rate constant k, = 10 min and k2 = 4 min-1. Only A is present in the beginning of the reaction: CAO = 20 mol/dm³, CBO = Cco =0. a. (! - .. s) Please write down the rate of change of the concentration of each species, i.e., dCA, dCn, and d, in terms of solely rate constants and concentration of the species. dt dt dt w) Based on the rate law equations, it is determined that CA(t) = C10e¬kit and (e-kit-e-k2t b. 14 CB (t) = k,Ca0 ( ), k2=k1 please further determine the time t= tmax when Cg reaches its maximum value Cg,max· ( . ts) What is the maximum concentration of B, CB,max? What is the concentration of A when C reaches CB.max? c.

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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7. The following liquid-phase, elementary reaction in series is carried out in a batch reactor: AB 2C The temperature remains constant during the entire process. The rate constant k, = 10 min-1 and k2 = 4 min-'. Only A is present in the beginning of the reaction: CAO = 20 mol/dm3, CB0 = Cco =0. а. (- . s) Please write down the rate of change of the concentration of each species, i.e., dCa dCB dt' dt and dt acc, in terms of solely rate constants and concentration of the species. w) Based on the rate law equations, it is determined that C,(t) = CA0 e¬kit and (e-kit-e-k2t b. 14 CB (t) = k,CA0 ), please further determine the time t = tmax when CB reaches its k2-k1 maximum value CB,max· ('. ts) What is the maximum concentration of B, CB,max? What is the concentration of A when CB reaches CR.max? с. d. -) Determine the overall yield (Ỹ½) and instantaneous selectivity (SB/c) and of B when CR reaches its maximum value, CB,max. :) Prove that CA + Cg + 0.5Cc = Ca0 (please provide all the steps to obtain full credits). е.
Transcribed Image Text:7. The following liquid-phase, elementary reaction in series is carried out in a batch reactor: AB 2C The temperature remains constant during the entire process. The rate constant k, = 10 min-1 and k2 = 4 min-'. Only A is present in the beginning of the reaction: CAO = 20 mol/dm3, CB0 = Cco =0. а. (- . s) Please write down the rate of change of the concentration of each species, i.e., dCa dCB dt' dt and dt acc, in terms of solely rate constants and concentration of the species. w) Based on the rate law equations, it is determined that C,(t) = CA0 e¬kit and (e-kit-e-k2t b. 14 CB (t) = k,CA0 ), please further determine the time t = tmax when CB reaches its k2-k1 maximum value CB,max· ('. ts) What is the maximum concentration of B, CB,max? What is the concentration of A when CB reaches CR.max? с. d. -) Determine the overall yield (Ỹ½) and instantaneous selectivity (SB/c) and of B when CR reaches its maximum value, CB,max. :) Prove that CA + Cg + 0.5Cc = Ca0 (please provide all the steps to obtain full credits). е.
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