The free energy change, AG, in the homogenous cross-exchange ET reaction of [Ru(bpy)2]* and ferricytochrome c is -104.6 kJ mol¯1. The second-order activation-limited rate constant, kobs, is 2.5 × 108 M-1 s-1. Taking KDA = 1.0 M¹, N = 1 × 1011 s-1, and x = 1, estimate the values of AG* and 2. In what kinetic region is this reaction? Hint: By substituting the Marcus equation into the expression for the rate constant of an adiabatic homogenous ET reaction, the rate constant of a cross-exchange ET reaction may be written as (AG+2)² Ket = KVN exp - 4λRT and, by rearrangement, In Ket KV 1 (AG+ 2)² 1 AG2 1 AG == + constant 42 RT 42 RT 2 RT
The free energy change, AG, in the homogenous cross-exchange ET reaction of [Ru(bpy)2]* and ferricytochrome c is -104.6 kJ mol¯1. The second-order activation-limited rate constant, kobs, is 2.5 × 108 M-1 s-1. Taking KDA = 1.0 M¹, N = 1 × 1011 s-1, and x = 1, estimate the values of AG* and 2. In what kinetic region is this reaction? Hint: By substituting the Marcus equation into the expression for the rate constant of an adiabatic homogenous ET reaction, the rate constant of a cross-exchange ET reaction may be written as (AG+2)² Ket = KVN exp - 4λRT and, by rearrangement, In Ket KV 1 (AG+ 2)² 1 AG2 1 AG == + constant 42 RT 42 RT 2 RT
Chemistry & Chemical Reactivity
10th Edition
ISBN:9781337399074
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter14: Chemical Kinetics: The Rates Of Chemical Reactions
Section: Chapter Questions
Problem 89IL: The oxidation of iodide ion by the hypochlorite ion in the presence of hydroxide ions I(aq) +...
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Question
![The free energy change, AG, in the homogenous cross-exchange ET reaction of
[Ru(bpy)2]* and ferricytochrome c is -104.6 kJ mol¯1. The second-order activation-limited
rate constant, kobs, is 2.5 × 108 M-1 s-1. Taking KDA = 1.0 M¹, N = 1 × 1011 s-1, and x = 1,
estimate the values of AG* and 2. In what kinetic region is this reaction?
Hint:
By substituting the Marcus equation into the expression for the rate constant of an
adiabatic homogenous ET reaction, the rate constant of a cross-exchange ET
reaction may be written as
(AG+2)²
Ket
= KVN exp
-
4λRT
and, by rearrangement,
In
Ket
KV
1 (AG+ 2)²
1
AG2 1 AG
==
+ constant
42
RT
42 RT
2 RT](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2e25c3b9-fe12-4d0f-ab0c-4ed9a8ad4df9%2F06cd723b-6968-4937-b0b6-da6a81a87039%2F0wpnktq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The free energy change, AG, in the homogenous cross-exchange ET reaction of
[Ru(bpy)2]* and ferricytochrome c is -104.6 kJ mol¯1. The second-order activation-limited
rate constant, kobs, is 2.5 × 108 M-1 s-1. Taking KDA = 1.0 M¹, N = 1 × 1011 s-1, and x = 1,
estimate the values of AG* and 2. In what kinetic region is this reaction?
Hint:
By substituting the Marcus equation into the expression for the rate constant of an
adiabatic homogenous ET reaction, the rate constant of a cross-exchange ET
reaction may be written as
(AG+2)²
Ket
= KVN exp
-
4λRT
and, by rearrangement,
In
Ket
KV
1 (AG+ 2)²
1
AG2 1 AG
==
+ constant
42
RT
42 RT
2 RT
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