Composite Reactions & the Steady State Approximation

DECOMPOSITION OF AZOMETHANE

Review
Overall ReactionAZO → C2H6 + N2
Experimental Rate
Law (at low [AZO])
+d[N2]/dt = ka[AZO]2
Proposed Mechanism
[Azomethane Mechanism (s1)]
[Azomethane Mechanism (s2)]
[Azomethane Mechanism (s3)]
Overall Rate of
Production of
(Azomethane)*
d[AZO*]/dt = + k1[AZO]2 - k-1[AZO][AZO*] - k2[AZO*]
Overall Rate
of Production
of Nitrogen
d[N2]/dt = +k2[AZO*]
Steady State
Approximation
d[AZO*]/dt = 0

Obtaining the Steady State Concentration of (Azomethane)* - Step 1

Applying the SSA to the rate of change of concentration of (azomethane)*, i.e. setting d[AZO*]/dt = 0, leads to the following expression:

0 = k1[AZO]2 - k-1[AZO][AZO*] - k2[AZO*]
This equation now needs to be rearranged, to isolate [AZO*].

The first step in doing this is to move all terms that include [AZO*] to the left hand side of the equation.

This results in the following expression

- k-1[AZO][AZO*] - k2[AZO*] = k1[AZO]2

- k-1[AZO][AZO*] - k2[AZO*] = k1[AZO]2

- k-1[AZO][AZO*] + k2[AZO*] = k1[AZO]2

+ k-1[AZO][AZO*] - k2[AZO*] = k1[AZO]2

+ k-1[AZO][AZO*] + k2[AZO*] = k1[AZO]2