What reactors do you choose, how do you arrange them, and what is the highest conversion you call get for $10,000? Approximately what is the corresponding highest conversion with your arrangement of reactors? Scheme and sketch your reactor volumes. etc.

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
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**Chemical Reaction Engineering: Liquid Phase Reaction and Reactor Cost Analysis**

**Scenario:**
The financially important reaction to produce the valuable product B (not the real name) was carried out in Jesse Pinkman's garage. This breaking bad, fly-by-night company is on a shoestring budget and has very little money to purchase equipment. Fortunately, cousin Bernie has a reactor surplus company and can provide reactors for them. The reaction:

\[ A \rightarrow B + C \]

takes place in the liquid phase. Below is the Levenspiel plot for this reaction.

**Levenspiel Plot:**

The Levenspiel plot represents the relationship between \(\dfrac{F_{A0}}{-r_A}\) and the conversion \(X\).

- **X-axis (Conversion, \(X\)):** 
  - Ranges from 0.0 to 0.9
  
- **Y-axis (\(\dfrac{F_{A0}}{-r_A}\) in \((\text{dm}^3)\)):**
  - Ranges from 0 to 80

The plot can be described as follows:
  - From \(X = 0\) to \(X = 0.2\), \(\dfrac{F_{A0}}{-r_A}\) decreases steadily from about 50 \(\text{dm}^3\) to 20 \(\text{dm}^3\).
  - Between \(X = 0.2\) and \(X = 0.5\), \(\dfrac{F_{A0}}{-r_A}\) remains constant at approximately 20 \(\text{dm}^3\).
  - From \(X = 0.5\) to \(X = 0.7\), there is a sharp increase from 20 \(\text{dm}^3\) to 60 \(\text{dm}^3\).
  - From \(X = 0.7\) to \(X = 0.9\), \(\dfrac{F_{A0}}{-r_A}\) continues to increase gradually reaching about 70 \(\text{dm}^3\).

**Reactor Options and Costs:**

Below are the reactors available for purchase. Each reactor type is associated with certain volume and cost considerations.

| Reactor Type | Number | Volume (\(\text{dm}^3\)) | Cost
Transcribed Image Text:**Chemical Reaction Engineering: Liquid Phase Reaction and Reactor Cost Analysis** **Scenario:** The financially important reaction to produce the valuable product B (not the real name) was carried out in Jesse Pinkman's garage. This breaking bad, fly-by-night company is on a shoestring budget and has very little money to purchase equipment. Fortunately, cousin Bernie has a reactor surplus company and can provide reactors for them. The reaction: \[ A \rightarrow B + C \] takes place in the liquid phase. Below is the Levenspiel plot for this reaction. **Levenspiel Plot:** The Levenspiel plot represents the relationship between \(\dfrac{F_{A0}}{-r_A}\) and the conversion \(X\). - **X-axis (Conversion, \(X\)):** - Ranges from 0.0 to 0.9 - **Y-axis (\(\dfrac{F_{A0}}{-r_A}\) in \((\text{dm}^3)\)):** - Ranges from 0 to 80 The plot can be described as follows: - From \(X = 0\) to \(X = 0.2\), \(\dfrac{F_{A0}}{-r_A}\) decreases steadily from about 50 \(\text{dm}^3\) to 20 \(\text{dm}^3\). - Between \(X = 0.2\) and \(X = 0.5\), \(\dfrac{F_{A0}}{-r_A}\) remains constant at approximately 20 \(\text{dm}^3\). - From \(X = 0.5\) to \(X = 0.7\), there is a sharp increase from 20 \(\text{dm}^3\) to 60 \(\text{dm}^3\). - From \(X = 0.7\) to \(X = 0.9\), \(\dfrac{F_{A0}}{-r_A}\) continues to increase gradually reaching about 70 \(\text{dm}^3\). **Reactor Options and Costs:** Below are the reactors available for purchase. Each reactor type is associated with certain volume and cost considerations. | Reactor Type | Number | Volume (\(\text{dm}^3\)) | Cost
# Questions and Problems (Page 67)

### Problem Statement:

**Question:**
What reactors do you choose, how do you arrange them, and what is the highest conversion you can get for $10,000? Approximately what is the corresponding highest conversion with your arrangement of reactors?

**Instructions:**
1. Scheme and sketch your reactor volumes.

**Diagram:**
The image includes a sketch depicting a series of rectangular boxes arranged linearly with arrows showing the flow direction from left to right. The diagram suggests a sequence of reactors connected to each other. The final arrow points to "etc." indicating that the sequence continues or that additional details can be added.

### Additional Instructions:

- Refer to the example of "Chemical Reaction Engineering of Hippopotamus Stomach" on the CRE website for further guidance.

---

This transcription and description are designed to help students understand how to approach the problem of selecting and arranging reactors to achieve the highest conversion within a budget of $10,000. Students are encouraged to refer to additional resources for more detailed examples and methodologies.
Transcribed Image Text:# Questions and Problems (Page 67) ### Problem Statement: **Question:** What reactors do you choose, how do you arrange them, and what is the highest conversion you can get for $10,000? Approximately what is the corresponding highest conversion with your arrangement of reactors? **Instructions:** 1. Scheme and sketch your reactor volumes. **Diagram:** The image includes a sketch depicting a series of rectangular boxes arranged linearly with arrows showing the flow direction from left to right. The diagram suggests a sequence of reactors connected to each other. The final arrow points to "etc." indicating that the sequence continues or that additional details can be added. ### Additional Instructions: - Refer to the example of "Chemical Reaction Engineering of Hippopotamus Stomach" on the CRE website for further guidance. --- This transcription and description are designed to help students understand how to approach the problem of selecting and arranging reactors to achieve the highest conversion within a budget of $10,000. Students are encouraged to refer to additional resources for more detailed examples and methodologies.
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