Answered: A liquid phase reaction, A⟶B, takes…

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 liquid phase reaction, A⟶B, takes place in a laboratory-scale semi-batch reactor. The consumption rate of A per unit volume (rA) is given as follows:

rA(mol/L.sec)=k.CA

where CA(mol/L) is the concentration of reactants in the reactor, and the value of k=1/s is known. The reactor tank was initially empty. At t = 0, solution A with a concentration of 2 (mo/lL) was fed into the reactor at a constant rate of 2(mL/sec). In the feed stream, the concentration of B = 0.

Assumption: the density of the liquid does not change.

If the volume of the tank is 2 L and the moles of A in the tank nA, then:

Construct the differential equation and determine the correct solution method for the differential equation.
Solve the differential equation so that the equation CA=f(t) is obtained
Determine the volume of liquid and the concentration of product B after 5 minutes.

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