DECOMPOSITION OF AZOMETHANE
Hint
To back substitute the equation
A = BC + D . . . {1}into the equation
X = YA + Z . . . {2}Replace A, where it appears in Equation {2} with (BC + D); giving
X = Y(BC + D) + Z
So in the case of the Azomethane Example, anytime [AZO*] appears in the overall rate of Nitrogen production expression
d[N2]/dt = +k2[AZO*]it should be replaced with
k1[AZO]2 / (k-1[AZO] + k2)
Eliminating [AZO*] from the Rate Expression for the Production of Nitrogen {+d[N2]/dt}
Having obtained the Steady State Concentration of (Azomethane)*
[AZO*]SS = k1[AZO]2 / (k-1[AZO] + k2)(Note: The SS subscript is used to denote a Steady State term.)
this relationship can now be back-substituted into the expression for the overall rate of production of Nitrogen
d[N2]/dt = +k2[AZO*]
giving the result
d[N2]/dt = k1[AZO]2 / (k-1[AZO] + k2)