The chemical reaction sequence A →B A+B →P takes place isothermally in a continuous, stirred-tank reactor. Batch kinetic studies have indicated that the first reaction is second order with respect to C while the reaction rate for the second reaction is first order with respect to both C₁ and C₁: r₁=k₂C² r₂ = k₂C₂C₂ mol L.hr 4,2[=];™ Assume that the reactor has a constant volume V. There is a constant volumetric feed rate F₁, and that the feed contains traces of B but no P. Derive an unsteady-state model that will yield the concentrations of A, B, and P for variations in the concentration of B in the feed. Do not attempt to solve the resulting mathematical model.

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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The chemical reaction sequence
A →B
A+B →P
takes place isothermally in a continuous, stirred-tank reactor. Batch kinetic studies have indicated
that the first reaction is second order with respect to C₁ while the reaction rate for the second
reaction is first order with respect to both C₁ and C₂:
r₂ = k₁C²
r₂ = k₂C₂CBJ
mol
√¸‚½[=] ₁. hr
Assume that the reactor has a constant volume V. There is a constant volumetric feed rate Fo, and
that the feed contains traces of B but no P. Derive an unsteady-state model that will yield the
concentrations of A, B, and P for variations in the concentration of B in the feed. Do not attempt to
solve the resulting mathematical model.
Transcribed Image Text:The chemical reaction sequence A →B A+B →P takes place isothermally in a continuous, stirred-tank reactor. Batch kinetic studies have indicated that the first reaction is second order with respect to C₁ while the reaction rate for the second reaction is first order with respect to both C₁ and C₂: r₂ = k₁C² r₂ = k₂C₂CBJ mol √¸‚½[=] ₁. hr Assume that the reactor has a constant volume V. There is a constant volumetric feed rate Fo, and that the feed contains traces of B but no P. Derive an unsteady-state model that will yield the concentrations of A, B, and P for variations in the concentration of B in the feed. Do not attempt to solve the resulting mathematical model.
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