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*]
Rate of Production
of Nitrogen in the
1st Elementary Step
(d[N2]/dt)1 = 0

And similarly, since Nitrogen does not appear as a reactant or product in the 2nd elementary step:

(d[N2]/dt)2 = 0

Rate of Production of Nitrogen in the Third Elementary Step {+(d[N2]/dt)3}

For the third elementary step,

[Azomethane Mechanism (s3)]

the rate of production of Nitrogen would be

+d[N2]/dt = -k2[AZO*]

+d[N2]/dt = +k2[AZO*]

+d[N2]/dt = -k2[N2]

+d[N2]/dt = +k2[N2]

+d[N2]/dt = -k2[C2H6][N2]

+d[N2]/dt = +k2[C2H6][N2]