Homework Help is Here – Start Your Trial Now!
Engineering
Chemical Engineering
A pure liquid composed of species A is brought into contact with a stagnant gas which initially contains only species B Evaporation of the liquid begins at !=0, leading to a mixture of A and B in the gas; B is insoluble in the liquid and therefore remains in the gas phase. The liquid interface is maintained at z=0, and the gas occupies the space z>0. The mole fraction of Ain the gas at z=0 is X40. The system is at constant temperature and pressure and the gas mixture is ideal, so that the total molar concentration in the gas is constant, (a) Show that the mole fraction of A in the gas, 1,(z, t), is governed by DAB a (0. dz xa(z, 0) =0, x4(0, 1)=140- La(s, 1) =0. (b) Using a similarity variable (q) analogous to that in Section 3.5, show that, de d +2(n-4) =0, O(0) = 1, O(00) =0, de (0), Ad dn where O(n)=x,/x4o- The unknown constant o is determined later [see part (d)]. (c) Detemine 0(n).

A pure liquid composed of species A is brought into contact with a stagnant gas which initially contains only species B Evaporation of the liquid begins at !=0, leading to a mixture of A and B in the gas; B is insoluble in the liquid and therefore remains in the gas phase. The liquid interface is maintained at z=0, and the gas occupies the space z>0. The mole fraction of Ain the gas at z=0 is X40. The system is at constant temperature and pressure and the gas mixture is ideal, so that the total molar concentration in the gas is constant, (a) Show that the mole fraction of A in the gas, 1,(z, t), is governed by DAB a (0. dz xa(z, 0) =0, x4(0, 1)=140- La(s, 1) =0. (b) Using a similarity variable (q) analogous to that in Section 3.5, show that, de d +2(n-4) =0, O(0) = 1, O(00) =0, de (0), Ad dn where O(n)=x,/x4o- The unknown constant o is determined later [see part (d)]. (c) Detemine 0(n).

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
100%

Solve part (C) only!! thanks

A pure liquid composed of species A is brought into contact with a stagnant gas which initially contains only species B. Evaporation of the liquid begins at ! =0, leading to a mixture of A and B in the gas; B is insoluble in the liquid and therefore remains in the gas phase. The liquid interface is maintained at z=0, and the gas occupies the space z>0. The mole fraction of Ain the gas at z=0 is X40. The system is at constant temperature and pressure and the gas mixture is ideal, so that the total molar concentration in the gas is constant, (a) Show that the mole fraction of A in the gas, x,(z, t), is governed by DAB -DAN at f) dz xa(z, 0) =0, xa(0, 1) =X40- xa(00, 1) =0. (b) Using a similarity variable (g) analogous to that in Section 3.5, show that , de +2(n-4) =0, dn up O(c0) =0, O(0) = 1. where O(n)=x,lxan. The unknown constant o is determined later [see part (d)). (c) Determine 0(n).
Transcribed Image Text:A pure liquid composed of species A is brought into contact with a stagnant gas which initially contains only species B. Evaporation of the liquid begins at ! =0, leading to a mixture of A and B in the gas; B is insoluble in the liquid and therefore remains in the gas phase. The liquid interface is maintained at z=0, and the gas occupies the space z>0. The mole fraction of Ain the gas at z=0 is X40. The system is at constant temperature and pressure and the gas mixture is ideal, so that the total molar concentration in the gas is constant, (a) Show that the mole fraction of A in the gas, x,(z, t), is governed by DAB -DAN at f) dz xa(z, 0) =0, xa(0, 1) =X40- xa(00, 1) =0. (b) Using a similarity variable (g) analogous to that in Section 3.5, show that , de +2(n-4) =0, dn up O(c0) =0, O(0) = 1. where O(n)=x,lxan. The unknown constant o is determined later [see part (d)). (c) Determine 0(n).
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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