Problem 3 [20 points]: Assume that you know that the reaction takes place in two steps
and
$O_3 + M \stackrel{k_1}{\rightleftharpoons} O_2 + O + M$
$O + O_3 \stackrel{k_2}{\rightarrow} 2O_2$
(1)
(2)
Here M is an inert molecule, such as argon. Write rate equations for all compounds involved in the
reactions; express $dO_3/dt$, $dO/dt$ and $dO_2/dt$, in terms of the concentrations of $O_2$, $O_3$, O, and M.
Problem 4 [20 points]. For the reactions (1) and (2) derive rate equations for the extents of reactions.
Problem 5 [30 points]. Derive equations for the concentrations of $O_3$, $O_2$ and O by using the steady
state approximation (this is for the reactions (1) and (2)).
