Chapter 14.3, Problem 1CP

The first-order decomposition of dinitrogen pentoxide $\left({\text{N}}_{\text{2}}{\text{O}}_{\text{5}}\right)$ is represented by

${\text{2N}}_{\text{2}}{\text{O}}_{\text{5}}\text{(}g\text{)}\to {\text{4NO}}_{\text{2}}\text{(}g{\text{)+O}}_{\text{2}}\text{(}g\text{)}$

Use the table of data to answer questions 14.3.1 and 14.3.2:

$t(s)$	$\left[{\text{N}}_{\text{2}}{\text{O}}_{\text{5}}\right]\left(M\right)$
0	0.91
300	0.75
600	0.64
1200	0.44
3000	0.16

What is the rate constant for the decomposition of ${\text{ N}}_{\text{2}}{\text{O}}_{\text{5}}\text{?}$

$\begin{array}{l}a)\\ \text{9 }\times {\text{ 10}}^{\text{-4}}{\text{s}}^{\text{-1}}\\ b)\\ \text{4 }\times {\text{ 10}}^{\text{-4}}{\text{s}}^{\text{-1}}\\ c)\\ {\text{6 x 10}}^{\text{-4}}{\text{s}}^{\text{-1}}\\ d)\\ \text{5 }\times {\text{ 10}}^{\text{-3}}{\text{s}}^{\text{-1}}\\ e)\\ \text{1 }\times {\text{ 10}}^{\text{-3}}{\text{s}}^{\text{-1}}\end{array}$