Chapter 6, Problem 6.5DQ

Interpretation Introduction

Interpretation:

Terms in the given expression has to be defined and also limit the generality of the given expression and the reason for the deviations from the Arrhenius expression has to be given.

Concept Introduction:

Activation energy: It is the minimum energy required by the reacting species in order to undergo chemical reaction.

Arrhenius equation:

• Arrhenius equation is a formula that represents the temperature dependence of reaction rates.
• The Arrhenius equation has to be represented as follows.
• $\begin{array}{l}k=A{e}^{-E_a/RT}\\ \ln k=\ln A{e}^{-E_a/RT}\\ \ln k=\left(-\frac{{\text{E}}_{\text{a}}}{\text{R}}\right)\left(\frac{1}{\text{T}}\right)+\ln \text{A}\end{array}$
• $E_a$ represents the activation energy and it’s unit is $\text{kJ/mol}$.
• R represents the universal gas constant and it has the value of 8.314 $\text{J/K}\text{.mol}$.
• T represents the absolute temperature.
• A represents the frequency factor or collision frequency.