Answer:
![1*{10}^(-5)(M)/(s)](https://img.qammunity.org/2020/formulas/chemistry/college/zna6w12gzu43mqh6o9eflbxrsyo6fpdw8c.png)
Step-by-step explanation:
The stoichiometry for this reaction is
![2NO_2\rightarrow2NO+O_2](https://img.qammunity.org/2020/formulas/chemistry/college/5kx8lzu5jpah50s7ukqh8vpurham92oo1o.png)
The rate for this reaction can be written as
![-r_(NO_2)=-(d\left[NO_2\right])/(dt)=((0.01-0.008)M)/(100s)=2*{10}^(-5)(M)/(s)](https://img.qammunity.org/2020/formulas/chemistry/college/1rd9bzciippi1smcn2bvu0cvrw9keza312.png)
This rate of disappearence of
can be realated to the rate of appearence of
as follows (the coefficients of each compound are defined by the stoichiometry of the reaction)
![-r_(O_2)=-r_(NO_2)*(coefficient\ O_2\ )/(coefficient\ NO_2)=2*{10}^(-5)(M)/(s)*(1\ mole\ O_2\ )/(2\ mole\ NO_2)=1*{10}^(-5)(M)/(s)](https://img.qammunity.org/2020/formulas/chemistry/college/1ngv02lvijofhwczsfvtvv4oibomyigmk2.png)