Chapter 18, Problem 54E

A chemist studied the reaction mechanism for the reaction

$2\text{NO}\left(g\right)+{\text{O}}_2\left(g\right)\to 2{\text{NO}}_2\left(g\right)$

by reacting N¹⁶O with ¹⁸O₂. If the reaction mechanism is

$\begin{array}{ccc}\text{NO}+{\text{O}}_2& \rightleftharpoons & {\text{NO}}_3\left(\text{fast equilibrium}\right)\\ {\text{NO}}_3+\text{NO}& \to & 2{\text{NO}}_2\left(slow\right)\end{array}$

what distribution of ¹⁸O would you expect in the NO₂? Assume that N is the central atom in NO₃, assume only N¹⁶O¹⁸O₂ forms, and assume stoichiometric amounts of reactants are combined.