23.2b Consider the following mechanism for the thermal decomposition of R₂: (1) R₂ → R+R (2) R+ R₂ → PB+R' (3) R'→PA+R (4) R+R PA + PB where R₂, PA, PB are stable hydrocarbons and R and R' are radicals. Find the dependence of the rate of decomposition of R₂ on the concentration of R₂. 1/2 23.2 d[R₂] dt =-k₁ [R₂] -k₂| k₁ k₁ [R₂] 3/2

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
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Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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23.2a A slightly different mechanism for the decomposition of N₂O5 from
that in Exercise 23.1b has also been proposed. It differs only in the last step,
which is replaced by
(3) NO+NO3 → NO₂ + NO₂
k₂
Show that this mechanism leads to the same overall rate law.
23.2b Consider the following mechanism for the thermal decomposition
of R₂:
(1) R₂ → R+R
(2) R+ R₂ → PB+R'
(3) R' → PA+R
(4) R+R →PA + PB
where R₂, PA, PÅ are stable hydrocarbons and R and R' are radicals. Find the
dependence of the rate of decomposition of R₂ on the concentration of R₂.
1/2
-k₁ [R₂]-k₂
23.2
d[R₂]
dt
k₁
k₁
[R₂]³/2.
Transcribed Image Text:23.2a A slightly different mechanism for the decomposition of N₂O5 from that in Exercise 23.1b has also been proposed. It differs only in the last step, which is replaced by (3) NO+NO3 → NO₂ + NO₂ k₂ Show that this mechanism leads to the same overall rate law. 23.2b Consider the following mechanism for the thermal decomposition of R₂: (1) R₂ → R+R (2) R+ R₂ → PB+R' (3) R' → PA+R (4) R+R →PA + PB where R₂, PA, PÅ are stable hydrocarbons and R and R' are radicals. Find the dependence of the rate of decomposition of R₂ on the concentration of R₂. 1/2 -k₁ [R₂]-k₂ 23.2 d[R₂] dt k₁ k₁ [R₂]³/2.
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