A reactionABis to be carried out isothermally in a continuous flow reactor. The entering volumetric flow rate v = 10dm^3/hour. The feed molar flow rate FAO = 6 mol/hour. Calculate both the CSTR reactor volume and thePFR reactor volume that will achieve 96% consumption of A (i.e. CA = 0.04*CAO) and assuming thereaction rate -rA is:(a) -rA = k(b)-rA = k*CA(c)-ra = k*CA²with k = 0.040 mol/(hr*dm^3)with k = 0.00012 sec¹¹with k = 320 dm^3/(mol*hr)

Given data:Entering volumetric flow rate = 10 dm3/hInitial molar flow rate = 6 mol/hInitial…

Answered: A reaction B is to be carried out…

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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Question

A reaction
A
B
is to be carried out isothermally in a continuous flow reactor. The entering volumetric flow rate v = 10
dm^3/hour. The feed molar flow rate FAO = 6 mol/hour. Calculate both the CSTR reactor volume and the
PFR reactor volume that will achieve 96% consumption of A (i.e. CA = 0.04*CAO) and assuming the
reaction rate -rA is:
(a) -rA = k
(b)-rA = k*CA
(c)-ra = k*CA²
with k = 0.040 mol/(hr*dm^3)
with k = 0.00012 sec¹¹
with k = 320 dm^3/(mol*hr)

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how did you derive the equations for part B & C

i dont know how you did that

so orignally we have V=(v0Ca0-vCa)/(-rA) and i see how we rearranged that to get Ca0-Ca=k(v/v0) but i dont know how you got ln (1-x)=-kV/V0 or X/1-X=kCa0(V/vo)

Transcribed Image Text:Solve: vo CAO V = ln k CA (E1-2.5) We can also rearrange Equation (E1-2.5) to solve for th concentration of A as a function of reactor volume to obtain CA = CAoexp(-kV/vo) Concentration profile Clipboard B) -r = KCA In(1-X) = - V Use = FAO < VCSTR(b) VPFR(b) kV Vo X -TA = 533.33 dm³ = 75.107 dm³ C) - r= kC² X 1 x x = KCA. (1) - X Use= X -TA VCSTR(C) = 0.75 dm³ VPFR(C) = 1.25 dm³ 5 > Styles <

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