Assume that the formation of nitrogen dioxide:
$$
2 \mathrm{NO}(g)+\mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{NO}_{2}(g)
$$
is an elementary reaction. (a) Write the rate law for this reaction. (b) A
sample of air at a certain temperature is contaminated with \(2.0 \mathrm{ppm}\)
of \(\mathrm{NO}\) by volume. Under these conditions, can the rate law be
simplified? If so, write the simplified rate law.
(c) Under the conditions described in (b), the half-life of the reaction has
been estimated to be \(6.4 \times 10^{3} \mathrm{~min} .\) What would the half-
life be if the initial concentration of NO were \(10 \mathrm{ppm} ?\)