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Chemistry · Ch 6 — Chemical Kinetics

Rate determining step

6.4.4

Rate determining step

A number of chemical reactions are complex: they take place as a series of elementary steps. One of these steps is slower than the others, and this slowest step is the rate determining step — it determines the rate of the overall reaction.

Consider 2NO2Cl(g)⟶2NO2(g)+Cl2(g)\mathrm{2NO_2Cl(g) \longrightarrow 2NO_2(g) + Cl_2(g)}. The reaction takes place in two steps:

i. NO2Cl(g)→  k1  NO2(g)+Cl(g)\mathrm{NO_2Cl(g) \xrightarrow{\;k_1\;} NO_2(g) + Cl(g)} (slow)

ii. NO2Cl(g)+Cl(g)→  k2  NO2(g)+Cl2(g)\mathrm{NO_2Cl(g) + Cl(g) \xrightarrow{\;k_2\;} NO_2(g) + Cl_2(g)} (fast)

Overall 2NO2Cl(g)⟶2NO2(g)+Cl2(g)\text{Overall } \mathrm{2NO_2Cl(g) \longrightarrow 2NO_2(g) + Cl_2(g)}

The first step, being slower than the second, is the rate determining step. The rate law is

rate=k [NO2Cl]\text{rate} = k\,\mathrm{[NO_2Cl]}

This also represents the rate law of the overall reaction. The reaction thus is of the first order.

Reaction intermediate:

In the above reaction Cl is formed in the first step and consumed in the second. Such a species represents the reaction intermediate. The concentration of a reaction intermediate does not appear in the rate law.

Distinction between order and molecularity of a reaction :

OrderMolecularity
1. It is an experimentally determined property.i. It is a theoretical entity.