Composite Reactions & the Steady State Approximation

HALOGENATION OF PROPANONE

Hint

In the Halogenation of Propanone example, the state state species is eliminated from the expression for the overall rate of consumption of iodine, by replacing [Pe] wherever it appears in the

-d[I2]/dt = + k2[I2][Pe]
equation, with
+ k1[H+][Pk] / (k-1[H+] + k2[I2])

Eliminating the Steady State Species from the Expression for the Overall Rate of Consumption of Iodine

The derived equation for the steady state concentration of the enol form of propanone

[Pe]ss = + k1[H+][Pk] / (k-1[H+] + k2[I2])
can now be back-substituted into the expression for the overall rate of consumption of iodine
-d[I2]/dt = + k2[Pe][I2]
in order to eliminate [Pe] from this equation.

This results in

-d[I2]/dt = + k1[H+][Pk] / (k-1[H+] + k2[I2])

-d[I2]/dt = + k1k2[H+][I2][Pe][Pk] / ( k-1[H+] + k2[I2])

-d[I2]/dt = + k1k2[H+][I2][Pk] / ( k-1[H+] + k2[I2])