Derive the integrated rate equation:

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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Derive the integrated rate equation:

Derive the integrated rate equation:
d[A]
k₁[A]
dt
d[R]
dt
d[s]
dt
=
=
=
= k₁ [A] - k₂ [R]
= k₂ [S]
For [A]:
CA=
CAoe-kit
=
For [R]:
CR
CAO
k₁ +
For [S]:
Cs
CAO
e-k₁t
e-k₂t
k₂-k₁ k₁-k₂/
1+
k₂e-k₁t
k₁e-k₂t
k₁k₂ k₂-k₁
+
Transcribed Image Text:Derive the integrated rate equation: d[A] k₁[A] dt d[R] dt d[s] dt = = = = k₁ [A] - k₂ [R] = k₂ [S] For [A]: CA= CAoe-kit = For [R]: CR CAO k₁ + For [S]: Cs CAO e-k₁t e-k₂t k₂-k₁ k₁-k₂/ 1+ k₂e-k₁t k₁e-k₂t k₁k₂ k₂-k₁ +
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