Chapter 20, Problem 57E

Interpretation Introduction

(a)

Interpretation:

For the reactions at about room temperature, the approximate activation energy is to be determined for the given statement to be true.

Concept introduction:

• Arrhenius equation relates the rate constant (k) of the reaction to its absolute temperature as

$\begin{array}{l}k=A{e}^{\frac{-E_a}{RT}}\\ or\\ \ln k=\ln A-\frac{E_a}{RT}\end{array}$

Where

A − Pre-exponential factor

E_a- Activation energy

T- Absolute temperature in Kelvins

R- Universal gas constant

• At two different temperatures, Arrhenius equation can be modified as
$\ln \frac{k_2}{k_1}=\frac{-E_a}{R}(\frac{1}{T_2}-\frac{1}{T_1})$

Interpretation Introduction

(b)

Interpretation:

Whether the thumb rule is applied or not to the following reaction profile at room temperature for reaction- ${\mathrm{N}}_{2}O+NO\to N_2+N{O}_2$ is to be explained.

Concept introduction:

• Arrhenius equation relates the rate constant (k) of the reaction to its absolute temperature as

$\begin{array}{l}k=A{e}^{\frac{-E_a}{RT}}\\ or\\ \ln k=\ln A-\frac{E_a}{RT}\end{array}$

Where

A − Pre-exponential factor

E_a- Activation energy

T- Absolute temperature in Kelvins

R- Universal gas constant

• At two different temperatures, Arrhenius equation can be modified as
$\ln \frac{k_2}{k_1}=\frac{-E_a}{R}(\frac{1}{T_2}-\frac{1}{T_1})$