Chapter 14.4, Problem 2PE

Interpretation Introduction

Interpretation:

For the given reaction, rate constant at ${40}^{0}C$ has to be determined.

Concept introduction:

The activation energy from the given information has to be calculated from the modified Arrhenius equation.

$\ln \frac{k_2}{k_1}=\frac{E_a}{R}\left[\frac{1}{T_2}-\frac{1}{T_1}\right]$

Arrhenius equation:

• Arrhenius equation is a formula that represents the temperature dependence of reaction rates
• The Arrhenius equation has to be represented as follows

$k=A{e}^{-E_a/RT}$

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

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

T represents the absolute temperature

A represents the frequency factor or collision frequency