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temperature for the condensor. 100 gmol/min of a gas stream containing 30 mol% ethane (C,H,) and 70 mol% methane (CH,) is fed to a distillation column, where it is sepa- rated into an overhead product containing 90 mol% methane and a bot- toms product containing 98 mol% ethane. A customer wants to purchase a product that contains 97% methane. To produce this, the overhead from the column described above is sent to a second column. The overhead from the second column is the desired product, and the bottoms product, which has a flow rate of 100 gmol/min, is recycled back to the first col- umn. Calculate the flow rate of the final product and the composition of the recycled stream. Calculate the fractional recoveries of methane and ethane in their corresponding product streams,

temperature for the condensor. 100 gmol/min of a gas stream containing 30 mol% ethane (C,H,) and 70 mol% methane (CH,) is fed to a distillation column, where it is sepa- rated into an overhead product containing 90 mol% methane and a bot- toms product containing 98 mol% ethane. A customer wants to purchase a product that contains 97% methane. To produce this, the overhead from the column described above is sent to a second column. The overhead from the second column is the desired product, and the bottoms product, which has a flow rate of 100 gmol/min, is recycled back to the first col- umn. Calculate the flow rate of the final product and the composition of the recycled stream. Calculate the fractional recoveries of methane and ethane in their corresponding product streams,

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 P5.32: Distillation Column Analysis** A gas stream flow of 100 gmol/min containing a mixture of 30 mol% ethane (C₂H₆) and 70 mol% methane (CH₄) is introduced into a distillation column. This column separates the mixture into two products: an overhead product with 90 mol% methane and a bottoms product with 98 mol% ethane. A customer requires a product with 97% methane purity. To achieve this, the overhead product from the initial column is directed into a second distillation column. The overhead from this second column becomes the desired product with 97% methane, while the bottoms product, maintaining a flow rate of 100 gmol/min, is recycled back to the first column. **Tasks:** 1. Calculate the flow rate of the final product. 2. Determine the composition of the recycled stream. 3. Calculate the fractional recoveries of methane and ethane in their respective product streams. This setup involves iterative separation processes aiming to achieve desired purity levels while optimizing recovery and recycling streams within a distillation framework.
Transcribed Image Text:**Problem P5.32: Distillation Column Analysis** A gas stream flow of 100 gmol/min containing a mixture of 30 mol% ethane (C₂H₆) and 70 mol% methane (CH₄) is introduced into a distillation column. This column separates the mixture into two products: an overhead product with 90 mol% methane and a bottoms product with 98 mol% ethane. A customer requires a product with 97% methane purity. To achieve this, the overhead product from the initial column is directed into a second distillation column. The overhead from this second column becomes the desired product with 97% methane, while the bottoms product, maintaining a flow rate of 100 gmol/min, is recycled back to the first column. **Tasks:** 1. Calculate the flow rate of the final product. 2. Determine the composition of the recycled stream. 3. Calculate the fractional recoveries of methane and ethane in their respective product streams. This setup involves iterative separation processes aiming to achieve desired purity levels while optimizing recovery and recycling streams within a distillation framework.
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