Given: A<--> B (ka & ka') B <--> C (kb& kb') so eq 1: d[A]/dt = -ka[A] + ka'[B] eq 2: d[B]/dt= ka[A] - ka'[B] - kb[B] + kb'[C] eq 3: d[C]/dt= kb[B] - kb'[C] Using steady state: ka[A] + kb'[C] = ka'[B] + kb[B] [B]= (ka[A] + kb'[C] ) / (ka' + kb) This can be inserted into equation 3 d[C]/dt = kb[B] - kb'[C] = kb((ka[A] + kb'[C] ) / (ka' + kb)) - kb'[C] Determine the k and k’, where the above mechanism is equivalent to the following: A ↔ C (k and k’) d[A]/dt= -k[A]+ k'[C] d[C]/dt= k[A] - k'[C] What is the simpilfied values of k & k'?
Given: A<--> B (ka & ka') B <--> C (kb& kb') so eq 1: d[A]/dt = -ka[A] + ka'[B] eq 2: d[B]/dt= ka[A] - ka'[B] - kb[B] + kb'[C] eq 3: d[C]/dt= kb[B] - kb'[C] Using steady state: ka[A] + kb'[C] = ka'[B] + kb[B] [B]= (ka[A] + kb'[C] ) / (ka' + kb) This can be inserted into equation 3 d[C]/dt = kb[B] - kb'[C] = kb((ka[A] + kb'[C] ) / (ka' + kb)) - kb'[C] Determine the k and k’, where the above mechanism is equivalent to the following: A ↔ C (k and k’) d[A]/dt= -k[A]+ k'[C] d[C]/dt= k[A] - k'[C] What is the simpilfied values of k & k'?
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Given:
A<--> B (ka & ka')
B <--> C (kb& kb')
so
eq 1: d[A]/dt = -ka[A] + ka'[B]
eq 2: d[B]/dt= ka[A] - ka'[B] - kb[B] + kb'[C]
eq 3: d[C]/dt= kb[B] - kb'[C]
Using steady state: ka[A] + kb'[C] = ka'[B] + kb[B]
[B]= (ka[A] + kb'[C] ) / (ka' + kb)
This can be inserted into equation 3
d[C]/dt = kb[B] - kb'[C] = kb((ka[A] + kb'[C] ) / (ka' + kb)) - kb'[C]
Determine the k and k’, where the above mechanism is equivalent to the following: A ↔ C (k and k’)
d[A]/dt= -k[A]+ k'[C]
d[C]/dt= k[A] - k'[C]
What is the simpilfied values of k & k'?
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