Determine the effectiveness factor for the spherical
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
![### Understanding Catalyst Effectiveness in Chemical Reactions
1. **Diffusion and Catalyst Pellets:**
If the internal diffusion resistance of the catalyst pellet is small, meaning the diffusion within the pellet is fast enough to be uniform throughout at the concentration outside the pellet, the reaction rate can be defined using the following equation:
\[
\text{Rate} = -\frac{4}{3} \pi a^3 k C_o
\]
In this equation:
- \( a \) represents the radius of the spherical pellet.
- \( k \) is the reaction rate constant.
- \( C_o \) is the concentration outside the pellet.
2. **Effectiveness Factor:**
The ratio of this reaction rate to another reaction rate is referred to as the **effectiveness factor**. It is crucial to determine the effectiveness factor for the spherical pellet to understand how efficiently a catalyst is being used in a reaction.
### Practical Application
Students and professionals in chemical engineering can apply these concepts to evaluate catalyst efficiency. By calculating the effectiveness factor, one can optimize the design and operation of catalytic reactors, ensuring processes are both economical and efficient.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69b37de8-2e60-4b36-9a5e-4ef28a37dcde%2Ff575f01d-da9d-4c1c-85c4-b4322f836133%2Fzkqaysh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding Catalyst Effectiveness in Chemical Reactions
1. **Diffusion and Catalyst Pellets:**
If the internal diffusion resistance of the catalyst pellet is small, meaning the diffusion within the pellet is fast enough to be uniform throughout at the concentration outside the pellet, the reaction rate can be defined using the following equation:
\[
\text{Rate} = -\frac{4}{3} \pi a^3 k C_o
\]
In this equation:
- \( a \) represents the radius of the spherical pellet.
- \( k \) is the reaction rate constant.
- \( C_o \) is the concentration outside the pellet.
2. **Effectiveness Factor:**
The ratio of this reaction rate to another reaction rate is referred to as the **effectiveness factor**. It is crucial to determine the effectiveness factor for the spherical pellet to understand how efficiently a catalyst is being used in a reaction.
### Practical Application
Students and professionals in chemical engineering can apply these concepts to evaluate catalyst efficiency. By calculating the effectiveness factor, one can optimize the design and operation of catalytic reactors, ensuring processes are both economical and efficient.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
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…
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