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 halflife of the reaction has been estimated to be $6.4 \times 10^{3}$ min. What would the half-life be if the initial concentration of NO were 10 ppm?