Chapter 12, Problem 46E

The rate of the reaction

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

was studied at a certain temperature.

a. In one experiment, NO₂ was in large excess, at a concentration of 1.0 × 10¹³ molecules/cm³ with the following data collected:

Time(s)	[O](atoms/cm3)
0	5.0 × 109
1.0 × 10−2	1.9 × 109
2.0 × 10−2	6.8 × 108
3.0 × 10−2	2.5 × 108

What is the order of the reaction with respect to oxygen atoms?

b. The reaction is known to be first order with respect to NO₂· Determine the overall rate law and the value of the rate constant.