Chapter 13.3, Problem 6PE

Interpretation Introduction

Interpretation: The decomposition reaction of ${\text{N}}_{\text{2}}{\text{O}}_{\text{5}}$ is first order reaction. The value of the rate constant is given as $9.55\times {10}^{-4}{\text{s}}^{-1}$. The concentration of ${\text{N}}_{\text{2}}{\text{O}}_{\text{5}}$ in this system exactly after $\text{10}\text{min}$ is to be calculated if the initial concentration of ${\text{N}}_{\text{2}}{\text{O}}_{\text{5}}$ is given.

Concept introduction: The rate of a chemical reaction is defined as a change in the concentration of reactants as well as products with respect to time.

The rate constant for a reaction is calculated by the formula,

$\ln \left[\text{X}\right]=-kT+\ln {\left[\text{X}\right]}_{\text{ο}}$

To determine: The concentration of ${\text{N}}_{\text{2}}{\text{O}}_{\text{5}}$ after $\text{10}\text{min}$, if the initial concentration of ${\text{N}}_{\text{2}}{\text{O}}_{\text{5}}$ is given.