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8. Consider a chemical reaction where one chemical (A) turns into a different chemical (B) and vice versa. Suppose that the total amount of chemical is constant, that is A(() + B(t) - C, where C in a ponitive constant. This reaction can be represented schematically as follows: A B where the two positive constants k+ and k- are called rate constants. The following differential equation describes how A changes with time dA = -k*A+k"B dt Rewriting the constraint equation A+B = C to B =C- A, eliminate B in the differential equation, and solve for A(t), given A(0) = Ao. (You answer will contain the positive constants k*, k, Ao and C).

8. Consider a chemical reaction where one chemical (A) turns into a different chemical (B) and vice versa. Suppose that the total amount of chemical is constant, that is A(() + B(t) - C, where C in a ponitive constant. This reaction can be represented schematically as follows: A B where the two positive constants k+ and k- are called rate constants. The following differential equation describes how A changes with time dA = -k*A+k"B dt Rewriting the constraint equation A+B = C to B =C- A, eliminate B in the differential equation, and solve for A(t), given A(0) = Ao. (You answer will contain the positive constants k*, k, Ao and C).

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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8. Consider a chemical reaction where one chemical (A) turns into a different chemical (B) and vice versa. Suppose that the total amount of chemical is constant, that is A(t) + B(t) - C, where C in a positive constant. This reaction can be represented schematically as follows: A = B where the two positive constants kt and k- are called rate constants. The following differential equation describes how A changes with time dA = -k*A+kB dt Rewriting the constraint equation A+ B = C to B = C- A, eliminate B in the differential equation, and solve for A(t), given A(0) = Ag. (You answer will contain the positive constants kt, k-, Ao and C).
Transcribed Image Text:8. Consider a chemical reaction where one chemical (A) turns into a different chemical (B) and vice versa. Suppose that the total amount of chemical is constant, that is A(t) + B(t) - C, where C in a positive constant. This reaction can be represented schematically as follows: A = B where the two positive constants kt and k- are called rate constants. The following differential equation describes how A changes with time dA = -k*A+kB dt Rewriting the constraint equation A+ B = C to B = C- A, eliminate B in the differential equation, and solve for A(t), given A(0) = Ag. (You answer will contain the positive constants kt, k-, Ao and C).
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