4-3. A liquid-phase chemical reaction A takes place in a well-stirred tank. The concentration of A in the feed is CAo (mol/m³), and that in the tank and outlet stream is CA (mol/m³). Neither concentration varies with time. The volume of the tank contents is V(m³) and the volumetric flow rate of the inlet and outlet streams is V (m3/s). The reaction rate (the rate at which A is consumed by reaction in the tank) is given by the expression r(mol A consumed/s) = kVC, where k is a constant. a. Is this process continuous, batch, or semibatch? Is it transient or steady-state? b. What would you expect the reactant concentration C, to equal if k = 0 (no reaction)? What should it approach if k → o (infinitely rapid reaction)? c. Write a differential balance on A, stating which terms in the general balance equation (accumulation = input + generation – output – consumption) you discarded and why you discarded them. Use the balance to derive the following relation between the inlet and outlet reactant concentrations: CA0 CA 1+ kV/V Verify that this relation predicts the results in Part (b).
4-3. A liquid-phase chemical reaction A takes place in a well-stirred tank. The concentration of A in the feed is CAo (mol/m³), and that in the tank and outlet stream is CA (mol/m³). Neither concentration varies with time. The volume of the tank contents is V(m³) and the volumetric flow rate of the inlet and outlet streams is V (m3/s). The reaction rate (the rate at which A is consumed by reaction in the tank) is given by the expression r(mol A consumed/s) = kVC, where k is a constant. a. Is this process continuous, batch, or semibatch? Is it transient or steady-state? b. What would you expect the reactant concentration C, to equal if k = 0 (no reaction)? What should it approach if k → o (infinitely rapid reaction)? c. Write a differential balance on A, stating which terms in the general balance equation (accumulation = input + generation – output – consumption) you discarded and why you discarded them. Use the balance to derive the following relation between the inlet and outlet reactant concentrations: CA0 CA 1+ kV/V Verify that this relation predicts the results in Part (b).
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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Transcribed Image Text:4-3. A liquid-phase chemical reaction A
takes place in a well-stirred tank. The concentration of A in the feed is CAo
(mol/m³), and that in the tank and outlet stream is CA (mol/m³). Neither concentration varies with time. The volume of the tank
contents is V(m³) and the volumetric flow rate of the inlet and outlet streams is V (m3/s). The reaction rate (the rate at which A
is consumed by reaction in the tank) is given by the expression
r(mol A consumed/s) = kVC,
where k is a constant.
a. Is this process continuous, batch, or semibatch? Is it transient or steady-state?
b. What would you expect the reactant concentration C, to equal if k = 0 (no reaction)? What should it approach if k → o
(infinitely rapid reaction)?
c. Write a differential balance on A, stating which terms in the general balance equation (accumulation
= input + generation – output – consumption) you discarded and why you discarded them. Use the balance to derive the
following relation between the inlet and outlet reactant concentrations:
CA0
CA
1+ kV/V
Verify that this relation predicts the results in Part (b).
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