CR = CAOK1 K2-K1 - Cs CAO CR - CA = [e-k₁t + e-k₂t] --(6) Cs = Cao CAO 1+ K₂e-kit K₁e-k2t + K1-K2 K₂-K1 By differentiating eq (6) and set to zero (dCR = 0), the time at which concentration of R occurs is thus: dT K2 1 In Ki K1 tmax K₂-K1 Klogmean (7) Equation 7. Prove that?

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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Question
CR
=
CAOK1
K2-K1
-
Cs CAO CR - CA
=
[e-k₁t + e-k₂t]
--(6)
Cs = Cao
CAO 1+
K₂e-kit
K₁e-k2t
+
K1-K2 K₂-K1
By differentiating eq (6) and set to zero (dCR = 0), the time at which
concentration of R occurs is thus:
dT
K2
1
In Ki
K1
tmax
K₂-K1
Klogmean
(7)
Equation 7. Prove
that?
Transcribed Image Text:CR = CAOK1 K2-K1 - Cs CAO CR - CA = [e-k₁t + e-k₂t] --(6) Cs = Cao CAO 1+ K₂e-kit K₁e-k2t + K1-K2 K₂-K1 By differentiating eq (6) and set to zero (dCR = 0), the time at which concentration of R occurs is thus: dT K2 1 In Ki K1 tmax K₂-K1 Klogmean (7) Equation 7. Prove that?
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