Step 1:
\(a)
\The chemical equation is
.
Single elementary reaction: \ \
\Every reaction is made up of one or more elementary steps.
\Rate law of the elementary reaction depends on the concentration of reactants only.
\For example,
is a elementary reaction,
then rate law of the reaction is defined by
.
Rate law of the reaction
is
.
Step 2:
\(b)
\The chemical equation is
.
The above reaction is a termolecular reaction.
\A termolecular reaction requires the collision of three particles at the same place and time.
\A termolecular reaction is a very rare reaction as the three molecules reacting at same time is unlikely.
\Hence the single step mechanism for this is unlikely.
\Solution:
\(a) Rate law of the reaction is
.
(b) The single step mechanism for this is unlikely because it is a termolecular reaction.
\\
\
Step 1:
\Example 2:
\(a)
\The reaction is taken in two steps:
\
Add the two elementary reactions.
\
As
appears in equal amount on the both sides of the reaction, it can be eliminated. The net equation is

The overall reaction is
.
Step 2:
\(b)
\The step 1 reaction is slow reaction and step 2 reaction is the fast step reaction.
\The rate determining step is rate of reaction of step 1.
\Rate law of the reaction of step 1 is
.
Hence the rate of reaction of the overall reaction is
.
Solution:
\(a) The overall reaction is
.
(b) The rate of reaction of the overall reaction is
.