2. Consider the reaction scheme kı A k², 2C k-1 in which A undergoes reversible dimerisation into B while also decaying into a product C. Assume that initially A and B are present at concentrations ao and bo respectively, and no C is present. Let a = [A], b = [B] and c= [C]. (a) (b) 2A B and Assuming mass action kinetics, write down a system of differential equations for de, de and de describing the reaction. dt Derive a conservation law governing the reaction. Show all working.

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Chapter1: Chemical Foundations
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2. Consider the reaction scheme
kı
A ²2C
k-1
in which A undergoes reversible dimerisation into B while also decaying into a product C. Assume that
initially A and B are present at concentrations ao and bo respectively, and no C is present.
Let a =
2A=
B
and
= [A], b = [B] and c = = [C].
(a) Assuming mass action kinetics, write down a system of differential equations for da, d
describing the reaction.
dt, and de
dt
dt
(b)
Derive a conservation law governing the reaction. Show all working.
Transcribed Image Text:2. Consider the reaction scheme kı A ²2C k-1 in which A undergoes reversible dimerisation into B while also decaying into a product C. Assume that initially A and B are present at concentrations ao and bo respectively, and no C is present. Let a = 2A= B and = [A], b = [B] and c = = [C]. (a) Assuming mass action kinetics, write down a system of differential equations for da, d describing the reaction. dt, and de dt dt (b) Derive a conservation law governing the reaction. Show all working.
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