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.
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.
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
Related questions
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 7 steps
Recommended textbooks for you
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…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
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…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The