Chapter 14, Problem 14.133MP

Interpretation Introduction

Interpretation:

The activation energy in kJ/mol 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 the pre-exponential factor for the reaction, 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 value of rate constants at temperature $T_1$ and $T_2$ respectively. Put these values in equation (1).

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