Chapter 19.5, Problem 19.5WE

Interpretation Introduction

Interpretation:

Rate constant for the given reaction at ${300}^{0}C$ should be determined.

Concept introduction:

For a first order reaction, $A\underset{}{\to }B+C$ the rate constant is,

$\begin{array}{c}\ln \frac{{\left[A\right]}_t}{{\left[A\right]}_0}=-kt\\ where,{\left[A\right]}_0=\text{concentration}\text{of}\text{reactant}atstartingtime\left(t=0\right)\\ {\left[A\right]}_t=\text{concentration}\text{of}\text{reactant}afterttime\\ k=r\text{ate}\text{constant}\\ \text{t}\text{=}\text{time}\end{array}$

The rate constant for a first order reaction can be determined if partial pressure of the reactant is known.

$\begin{array}{c}\ln \frac{P_t}{P_0}=-kt\\ where,P_0=\text{Partial}\text{pressure}\text{of}\text{reactant}atstartingtime\left(t=0\right)\\ P_t=\text{Partial}\text{pressure}\text{of}\text{reactant}afterttime\end{array}$