Chapter 14, Problem 14.132MP

Interpretation Introduction

Interpretation:

The time required for decomposition of ${\text{NO}}_{\text{2}}$ needs to be determined.

Concept introduction:

Variation of reaction speed with temperature is represented by Arrhenius's equation as follows:

$k=A{e}^{-\frac{E_{\text{a}}}{RT}}$ ........ (1)

Here, A is a pre-exponential factor, R is gas constant, T is temperature, and k is the reaction rate coefficient, $E_{\text{a}}$ energy of activation.

If $k_1$ and $k_2$ are the value of rate constants at temperature $T_1$ and $T_2$ respectively. Put these values in equation (1).

$\ln \frac{k_2}{k_1}=\frac{E_{\text{a}}}{R}\left[\frac{T_2-T_1}{T_1{T}_2}\right]$ ........ (2)