Composite Reactions & the Steady State Approximation

DECOMPOSITION OF AZOMETHANE

Hint
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*]

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

d[AZO*]/dt = (d[AZO*]/dt)1 + (d[AZO*]/dt)2 + (d[AZO*]/dt)3

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

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*]