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)]
Rate of Production of
(Azomethane)* in the
1st Elementary Step
(d[AZO*]/dt)1 = k1[AZO]2
Rate of Production of
(Azomethane)* in the
2nd Elementary Step
(d[AZO*]/dt)2 = -k-1[AZO][AZO*]
Rate of Production of
(Azomethane)* in the
3rd Elementary Step
(d[AZO*]/dt)3 = -k2[AZO*]

Overall Rate of Production of (Azomethane)* {+d[AZO*]/dt}

The overall rate of production of (azomethane)* can then be found by summing the (azomethane)* production rates of the individual steps.

The Overall Rate of Production of (Azomethane)* is

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

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

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

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

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