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: McGraw-Hill Education
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**Problem P5.75**

An absorber treats a gas stream containing 22.5 gmol/min methane and 2.5 gmol/min carbon dioxide with an aqueous stream with proprietary additives that is flowing at 50 gmol/min. The process is currently operated in a large spray tower, and you may treat the exiting liquid stream as being in equilibrium with the entering gas stream. The present process recovers 80% of the CO₂ fed to the aqueous stream.

(a) Determine a value for the equilibrium distribution coefficient between the aqueous and gas streams (moles CO₂/mole liquid/moles CO₂/mole gas).

(b) We’d like to improve the separation performance of the absorber. Frannie proposes using a new superadditive that increases the CO₂ solubility in the aqueous phase (increases the distribution coefficient) by 10%, that can be mixed with the incoming liquid stream. What is the % recovery of CO₂ if the new additive is used? Zooey suggests staying with the original aqueous solution, but splitting the liquid feed into two equal streams and operating two separators in a cross-current mode, as shown in the figure. You may still assume that, in each separator, the exiting liquid is in equilibrium with the entering gas. What percent recovery CO₂ is achieved with this process change? Do you prefer Frannie’s idea or Zooey’s, and why?

**Explanation of Diagram:**

The figure referenced in part (b) is not provided in the image. However, it would typically illustrate a setup with two absorbers operating in cross-current mode, showing gas and liquid streams entering and exiting each separator.
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Transcribed Image Text:**Problem P5.75** An absorber treats a gas stream containing 22.5 gmol/min methane and 2.5 gmol/min carbon dioxide with an aqueous stream with proprietary additives that is flowing at 50 gmol/min. The process is currently operated in a large spray tower, and you may treat the exiting liquid stream as being in equilibrium with the entering gas stream. The present process recovers 80% of the CO₂ fed to the aqueous stream. (a) Determine a value for the equilibrium distribution coefficient between the aqueous and gas streams (moles CO₂/mole liquid/moles CO₂/mole gas). (b) We’d like to improve the separation performance of the absorber. Frannie proposes using a new superadditive that increases the CO₂ solubility in the aqueous phase (increases the distribution coefficient) by 10%, that can be mixed with the incoming liquid stream. What is the % recovery of CO₂ if the new additive is used? Zooey suggests staying with the original aqueous solution, but splitting the liquid feed into two equal streams and operating two separators in a cross-current mode, as shown in the figure. You may still assume that, in each separator, the exiting liquid is in equilibrium with the entering gas. What percent recovery CO₂ is achieved with this process change? Do you prefer Frannie’s idea or Zooey’s, and why? **Explanation of Diagram:** The figure referenced in part (b) is not provided in the image. However, it would typically illustrate a setup with two absorbers operating in cross-current mode, showing gas and liquid streams entering and exiting each separator.
We'd like to improve the separation performance of the absorber. Frannie proposes using a new superadditive that increases the CO₂ solubility in the aqueous phase (increases the distribution coefficient) by 10%, that can be mixed with the incoming liquid stream. What is % recovery of CO₂ if the new additive is used? Zooey suggests staying with the original aqueous solution, but splitting the liquid feed into two equal streams and operating two separators in a cross-current mode, as shown in the figure. You may still assume that, in each separator, the exiting liquid is in equilibrium with the entering gas. What percent recovery of CO₂ is achieved with this process change? Do you prefer Frannie's idea or Zooey's, and why?

**Diagram Explanation:**
The diagram shows a setup with two separators, labeled 1 and 2, arranged in a cross-current mode. The process involves:

- An “Aqueous in” stream entering the setup and being split into two paths.
- A “Gas in” stream entering the first separator.
- The first separator (1) outputs “Aqueous out 1” and transfers gas to separator 2.
- The second separator (2) releases “Gas out” and produces “Aqueous out 2”. 

This cross-current operation allows for improved interaction between the gas and liquid phases, potentially enhancing CO₂ recovery.
expand button
Transcribed Image Text:We'd like to improve the separation performance of the absorber. Frannie proposes using a new superadditive that increases the CO₂ solubility in the aqueous phase (increases the distribution coefficient) by 10%, that can be mixed with the incoming liquid stream. What is % recovery of CO₂ if the new additive is used? Zooey suggests staying with the original aqueous solution, but splitting the liquid feed into two equal streams and operating two separators in a cross-current mode, as shown in the figure. You may still assume that, in each separator, the exiting liquid is in equilibrium with the entering gas. What percent recovery of CO₂ is achieved with this process change? Do you prefer Frannie's idea or Zooey's, and why? **Diagram Explanation:** The diagram shows a setup with two separators, labeled 1 and 2, arranged in a cross-current mode. The process involves: - An “Aqueous in” stream entering the setup and being split into two paths. - A “Gas in” stream entering the first separator. - The first separator (1) outputs “Aqueous out 1” and transfers gas to separator 2. - The second separator (2) releases “Gas out” and produces “Aqueous out 2”. This cross-current operation allows for improved interaction between the gas and liquid phases, potentially enhancing CO₂ recovery.
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