Chapter 14.4, Problem 1PE

Interpretation Introduction

Interpretation:

The activation energy for the given reaction has to be determined through graphical method.

Concept introduction:

Arrhenius equation:

Arrhenius equation is a formula that represents the temperature dependence of reaction rates

The Arrhenius equation has to be represented as follows

${\text{k=Ae}}^{-{\text{E}}_{\text{a}}\text{/RT}}$

$E_a$ is the activation energy and it’s unit is kJ/mol

R represents the universal gas constant and it has the value of 8.314 J/K.mol

T represents the absolute temperature

Activation energy can be determined through graphical method,

In the graph of $\ln k$ and, $\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$T$}\right.$, slope will give the activation energy.

$\begin{array}{c}\text{slope}\text{=}-\frac{{\text{E}}_{\text{a}}}{\text{R}}\\ -{\text{E}}_{\text{a}}\text{=}\text{slope}\text{×}\text{R}\end{array}$