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Assume that a bimolecular, irreversible reaction A + B → C takes place at steady state in a liquid film of thickness L. Reactant A is introduced at x = 0 and reactant B at x = L. The liquid solution is dilute everywhere with respect to solutes A, B, and C. The volumetric rate of formation of C is given by R₁ = kCдCB where k is the second-order, homogeneous rate constant. If the reaction kinetics are extremely fast, A and B cannot coexist in the liquid. In this limit, the reaction occurs at a plane x = XR, dividing the liquid film into two parts, and forms a boundary between the part of the film that contains A (but not B) and the part that contains B (but not A). Determine XR, CA(x), CB(x), and the reaction rate. NOTE: The problem should be modeled as a one-dimensional system.

Assume that a bimolecular, irreversible reaction A + B → C takes place at steady state in a liquid film of thickness L. Reactant A is introduced at x = 0 and reactant B at x = L. The liquid solution is dilute everywhere with respect to solutes A, B, and C. The volumetric rate of formation of C is given by R₁ = kCдCB where k is the second-order, homogeneous rate constant. If the reaction kinetics are extremely fast, A and B cannot coexist in the liquid. In this limit, the reaction occurs at a plane x = XR, dividing the liquid film into two parts, and forms a boundary between the part of the film that contains A (but not B) and the part that contains B (but not A). Determine XR, CA(x), CB(x), and the reaction rate. NOTE: The problem should be modeled as a one-dimensional system.

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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Assume that a bimolecular, irreversible reaction A+ B → C takes place at steady state in a liquid film of thickness L. Reactant A is introduced at x = 0 and reactant B at x = L. The liquid solution is dilute everywhere with respect to solutes A, B, and C. The volumetric rate of formation of C is given by R, = KCĄCB where k is the second-order, homogeneous rate constant. If the reaction kinetics are extremely fast, A and B cannot coexist in the liquid. In this limit, the reaction occurs at a plane x = XR, dividing the liquid film into two parts, and forms a boundary between the part of the film that contains A (but not B) and the part that contains B (but not A). Determine xR, %3D CA(x), CB (x), and the reaction rate. NOTE: The problem should be modeled as a one-dimensional system.
Transcribed Image Text:Assume that a bimolecular, irreversible reaction A+ B → C takes place at steady state in a liquid film of thickness L. Reactant A is introduced at x = 0 and reactant B at x = L. The liquid solution is dilute everywhere with respect to solutes A, B, and C. The volumetric rate of formation of C is given by R, = KCĄCB where k is the second-order, homogeneous rate constant. If the reaction kinetics are extremely fast, A and B cannot coexist in the liquid. In this limit, the reaction occurs at a plane x = XR, dividing the liquid film into two parts, and forms a boundary between the part of the film that contains A (but not B) and the part that contains B (but not A). Determine xR, %3D CA(x), CB (x), and the reaction rate. NOTE: The problem should be modeled as a one-dimensional system.
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