Chapter 15, Problem 110AE

The decomposition of ${\text{NO}}_2\left(g\right)$ occurs by the following bimolecular elementary reaction:

2N02(g) 2NO(g) + 02(g)

The rate constant at $\text{273 K is 2}\text{.3}\times {\text{10}}^{-12}{\text{ L mol}}^{-1}{\text{ s}}^{-1},$ and the activation energy is $111\text{ kJ/mol}\text{.}$ How long willit take for the concentration of ${\text{NO}}_2\left(g\right)$ to decrease from an initial partial pressure of $\text{2}\text{.5 atm to 1}\text{.5 atm at 500}\text{. K?}$ Assume ideal gas behavior.