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P5.75 An absorber treats a gas stream contaiñing 2.5 gmol/min carbon dioxide with an aqueous stream with proprietuly additives that is flowing at 50 gmolMnin. The process is currently ope ated in a large spray tower, and you may treat the exiting liquid strean i recovers 80% of the CO, fed to the aqueous stream. a) Determine a value for the equilibrium distribution coefficient between the aqueous and gas streams (moles CO,/mole liquid/moles CO,/ mole gas). b) We'd like to improve the separation performance of the absorber. Frannie proposes using a new superadditive that increases the CO, solubility in the aqueous phase (increases the distribution coefficient) by 10%, that can be mixed with the incoming liquid stream. What is % recovery of CO, if the new additive is used? Zooey suggests stay- ing 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 CO, is achieved with this process change? Do you prefer Frannie's idea or Zooey's, and why? 21 21

P5.75 An absorber treats a gas stream contaiñing 2.5 gmol/min carbon dioxide with an aqueous stream with proprietuly additives that is flowing at 50 gmolMnin. The process is currently ope ated in a large spray tower, and you may treat the exiting liquid strean i recovers 80% of the CO, fed to the aqueous stream. a) Determine a value for the equilibrium distribution coefficient between the aqueous and gas streams (moles CO,/mole liquid/moles CO,/ mole gas). b) We'd like to improve the separation performance of the absorber. Frannie proposes using a new superadditive that increases the CO, solubility in the aqueous phase (increases the distribution coefficient) by 10%, that can be mixed with the incoming liquid stream. What is % recovery of CO, if the new additive is used? Zooey suggests stay- ing 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 CO, is achieved with this process change? Do you prefer Frannie's idea or Zooey's, and why? 21 21

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
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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.
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.
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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