Question 1: Methane is undergoing catalytic oxidation to methanol in a reactor (CH4 + %O2 → CH3OH). The fresh feed stream is flowing into the system at a rate of 200mol/min and contains 50% methane and 50% molecular oxygen. A separator followed by a split point (splitting to recycle and outlet streams) have been added to the process to raise the overall conversion of methane to methanol to 75%. The separator removes all of the methanol product from the system, and then 80% of the remaining stream is recycled to be mixed with fresh feed stream. A partially labeled process flow diagram is shown below. 100 mol/min CH, 100 mol/min O, Reactor CH,OH A.) What is the percent excess of O2 in the feed? B.) What is the single pass conversion of methane to methanol? C.) What is the %excess of oxygen in the stream entering the reactor? Separator

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
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### Methane Catalytic Oxidation to Methanol

#### Question 1: 

Methane is undergoing catalytic oxidation to methanol in a reactor according to the reaction: 
\[ \text{CH}_4 + \frac{1}{2}\text{O}_2 \rightarrow \text{CH}_3\text{OH} \]

The fresh feed stream is flowing into the system at a rate of 200 mol/min and contains 50% methane and 50% molecular oxygen. A separator followed by a split point (splitting to recycle and outlet streams) has been added to the process to raise the overall conversion of methane to methanol to 75%. The separator removes all of the methanol product from the system, and then 80% of the remaining stream is recycled to be mixed with the fresh feed stream. A partially labeled process flow diagram is shown below.

![Flow Diagram](https://link.to.image)

#### Process Flow Diagram:

- **Fresh Feed Stream Inputs:**
  - 100 mol/min \( \text{CH}_4 \)
  - 100 mol/min \( \text{O}_2 \)

- **Reactor:**
  - Reaction: \( \text{CH}_4 + \frac{1}{2}\text{O}_2 \rightarrow \text{CH}_3\text{OH} \)

- **Separator:**
  - Removes all produced \( \text{CH}_3\text{OH} \)

- **Recycle Stream:**
  - 80% of remaining stream is recycled

#### Questions:

A. What is the percent excess of \( \text{O}_2 \) in the feed?

B. What is the single pass conversion of methane to methanol?

C. What is the % excess of oxygen in the stream entering the reactor?

---

### Detailed Explanation:

1. The process flow diagram depicts:
   - Input streams entering a reactor.
   - Output from the reactor going into a separator where methanol (\( \text{CH}_3\text{OH} \)) is removed.
   - The separated stream splits, where 80% is recycled back into the reactor input feed.

2. Calculations:
   - **Percent Excess of \( \text{O}_2 \) in the Feed:**
     - The stoichiometric requirement for the reaction is 0.5 moles of \( \text{O}_2 \) per mole of
Transcribed Image Text:### Methane Catalytic Oxidation to Methanol #### Question 1: Methane is undergoing catalytic oxidation to methanol in a reactor according to the reaction: \[ \text{CH}_4 + \frac{1}{2}\text{O}_2 \rightarrow \text{CH}_3\text{OH} \] The fresh feed stream is flowing into the system at a rate of 200 mol/min and contains 50% methane and 50% molecular oxygen. A separator followed by a split point (splitting to recycle and outlet streams) has been added to the process to raise the overall conversion of methane to methanol to 75%. The separator removes all of the methanol product from the system, and then 80% of the remaining stream is recycled to be mixed with the fresh feed stream. A partially labeled process flow diagram is shown below. ![Flow Diagram](https://link.to.image) #### Process Flow Diagram: - **Fresh Feed Stream Inputs:** - 100 mol/min \( \text{CH}_4 \) - 100 mol/min \( \text{O}_2 \) - **Reactor:** - Reaction: \( \text{CH}_4 + \frac{1}{2}\text{O}_2 \rightarrow \text{CH}_3\text{OH} \) - **Separator:** - Removes all produced \( \text{CH}_3\text{OH} \) - **Recycle Stream:** - 80% of remaining stream is recycled #### Questions: A. What is the percent excess of \( \text{O}_2 \) in the feed? B. What is the single pass conversion of methane to methanol? C. What is the % excess of oxygen in the stream entering the reactor? --- ### Detailed Explanation: 1. The process flow diagram depicts: - Input streams entering a reactor. - Output from the reactor going into a separator where methanol (\( \text{CH}_3\text{OH} \)) is removed. - The separated stream splits, where 80% is recycled back into the reactor input feed. 2. Calculations: - **Percent Excess of \( \text{O}_2 \) in the Feed:** - The stoichiometric requirement for the reaction is 0.5 moles of \( \text{O}_2 \) per mole of
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