Homework Help is Here – Start Your Trial Now!
Engineering
Chemical Engineering
2.28. The following empirical equation correlates the values of variables in a system in which solid particles are suspended in a flowing gas: 1/3 1/2 kądpy (dpup\ 2.00 + 0.600 D Problems 35 Both (ulpD) and (dpuplµ) are dimensionless groups; kg is a coefficient that expresses the rate at which a particular species transfers from the gas to the solid particles; and the coefficients 2.00 and 0.600 are dimensionless constants obtained by fitting experimental data covering a wide range of values of the equation variables. The value of kg is needed to design a catalytic reactor. Since this coefficient is difficult to determine directly, values of the other variables are measured or estimated and k, is calculated from the given correlation. The variable values are as follows: d, = 5.00 mm y = 0.100 (dimensionless) D = 0.100 cm?/s H = 1.00 x 10-5 N•s/m? p = 1.00 x 10-3 g/cm³ u = 10.0 m/s (a) What is the estimated value of kg? (Give its value and units.) (b) Why might the true value of kg in the reactor be significantly different from the value estimated in Part (a)? (Give several possible reasons.) (c) Create a spreadsheet in which up to five sets of values of the given variables (d, through u) are entered in columns and the corresponding values of kg are calculated. Test your program using the following variable sets: (i) the values given above; (ii) as above, only double the particle diameter d, (making it 10.00 mm); (iii) as above, only double the diffusivity D; (iv) as above, only double the viscosity u; (v) as above, only double the velocity u. Report all five calculated values of kg.

2.28. The following empirical equation correlates the values of variables in a system in which solid particles are suspended in a flowing gas: 1/3 1/2 kądpy (dpup\ 2.00 + 0.600 D Problems 35 Both (ulpD) and (dpuplµ) are dimensionless groups; kg is a coefficient that expresses the rate at which a particular species transfers from the gas to the solid particles; and the coefficients 2.00 and 0.600 are dimensionless constants obtained by fitting experimental data covering a wide range of values of the equation variables. The value of kg is needed to design a catalytic reactor. Since this coefficient is difficult to determine directly, values of the other variables are measured or estimated and k, is calculated from the given correlation. The variable values are as follows: d, = 5.00 mm y = 0.100 (dimensionless) D = 0.100 cm?/s H = 1.00 x 10-5 N•s/m? p = 1.00 x 10-3 g/cm³ u = 10.0 m/s (a) What is the estimated value of kg? (Give its value and units.) (b) Why might the true value of kg in the reactor be significantly different from the value estimated in Part (a)? (Give several possible reasons.) (c) Create a spreadsheet in which up to five sets of values of the given variables (d, through u) are entered in columns and the corresponding values of kg are calculated. Test your program using the following variable sets: (i) the values given above; (ii) as above, only double the particle diameter d, (making it 10.00 mm); (iii) as above, only double the diffusivity D; (iv) as above, only double the viscosity u; (v) as above, only double the velocity u. Report all five calculated values of kg.

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
2.28. The following empirical equation correlates the values of variables in a system in which solid particles are suspended in a flowing gas: 1/3 1/2 kądpy (dpup\ 2.00 + 0.600 D Problems 35 Both (ulpD) and (dpuplµ) are dimensionless groups; kg is a coefficient that expresses the rate at which a particular species transfers from the gas to the solid particles; and the coefficients 2.00 and 0.600 are dimensionless constants obtained by fitting experimental data covering a wide range of values of the equation variables. The value of kg is needed to design a catalytic reactor. Since this coefficient is difficult to determine directly, values of the other variables are measured or estimated and k, is calculated from the given correlation. The variable values are as follows: d, = 5.00 mm y = 0.100 (dimensionless) D = 0.100 cm?/s H = 1.00 x 10-5 N•s/m? p = 1.00 x 10-3 g/cm³ u = 10.0 m/s (a) What is the estimated value of kg? (Give its value and units.) (b) Why might the true value of kg in the reactor be significantly different from the value estimated in Part (a)? (Give several possible reasons.) (c) Create a spreadsheet in which up to five sets of values of the given variables (d, through u) are entered in columns and the corresponding values of kg are calculated. Test your program using the following variable sets: (i) the values given above; (ii) as above, only double the particle diameter d, (making it 10.00 mm); (iii) as above, only double the diffusivity D; (iv) as above, only double the viscosity u; (v) as above, only double the velocity u. Report all five calculated values of kg.
Transcribed Image Text:2.28. The following empirical equation correlates the values of variables in a system in which solid particles are suspended in a flowing gas: 1/3 1/2 kądpy (dpup\ 2.00 + 0.600 D Problems 35 Both (ulpD) and (dpuplµ) are dimensionless groups; kg is a coefficient that expresses the rate at which a particular species transfers from the gas to the solid particles; and the coefficients 2.00 and 0.600 are dimensionless constants obtained by fitting experimental data covering a wide range of values of the equation variables. The value of kg is needed to design a catalytic reactor. Since this coefficient is difficult to determine directly, values of the other variables are measured or estimated and k, is calculated from the given correlation. The variable values are as follows: d, = 5.00 mm y = 0.100 (dimensionless) D = 0.100 cm?/s H = 1.00 x 10-5 N•s/m? p = 1.00 x 10-3 g/cm³ u = 10.0 m/s (a) What is the estimated value of kg? (Give its value and units.) (b) Why might the true value of kg in the reactor be significantly different from the value estimated in Part (a)? (Give several possible reasons.) (c) Create a spreadsheet in which up to five sets of values of the given variables (d, through u) are entered in columns and the corresponding values of kg are calculated. Test your program using the following variable sets: (i) the values given above; (ii) as above, only double the particle diameter d, (making it 10.00 mm); (iii) as above, only double the diffusivity D; (iv) as above, only double the viscosity u; (v) as above, only double the velocity u. Report all five calculated values of kg.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 1 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