Chapter 19.6, Problem 8PPB

Interpretation Introduction

Interpretation:

The k value at a particular temperature have to be determined from the graph

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

$\begin{array}{l}{\text{k=Ae}}^{{\text{-E}}_{\text{a}}\text{/RT}}\\ \text{ln}\text{k}\text{=}\text{ln}{\text{Ae}}^{{\text{-E}}_{\text{a}}\text{/RT}}\\ \text{ln}\text{k}\text{=}\left(\text{-}\frac{{\text{E}}_{\text{a}}}{\text{R}}\right)\left(\frac{\text{1}}{\text{T}}\right)\text{+lnA}\\ \text{ln}\raisebox{1ex}{${\text{k}}_{\text{1}}$}\!\left/ \!\raisebox{-1ex}{${\text{k}}_{\text{2}}$}\right.\text{=}\frac{{\text{E}}_{\text{a}}}{\text{R}}\left(\frac{\text{1}}{{\text{T}}_{\text{2}}}\text{-}\frac{\text{1}}{{\text{T}}_{\text{1}}}\right)\end{array}$

• $E_a$ 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
• e represents the base of natural logarithm
•  Arrhenius equation equation was proposed by Svante Arrhenius in 1889.