Homework Help is Here – Start Your Trial Now!
Engineering
Chemical Engineering
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
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
See similar textbooks
icon
Related questions
Question
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).
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).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 7 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Reactive Processes
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Process Dynamics and Control, 4e
Process Dynamics and Control, 4e
Chemical Engineering
ISBN:
9781119285915
Author:
Seborg
Publisher:
WILEY
Industrial Plastics: Theory and Applications
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The
SEE MORE TEXTBOOKS