Chapter 14, Problem 14.9QP

Interpretation Introduction

Interpretation:

Concept Introduction:

The first order reaction:

It is a reaction whose rate depends on the reactant concentration whose power is raised to one in the rate expression.

Consider a reaction:

$\text{A}\stackrel{}{\to }\text{Product}$

In this reaction, the reactant $\text{A}$ has been converted into the product.

The rate of a reaction is the measure of how fast a reactant is consumed or a product is formed. The rate of a reaction is the ratio of change in concentration of reactant or product to the elapsed time.

Based on the definition of rate, the rate expression for the considered reaction can be given as follows:

$\text{Rate}\text{=}\text{-}\frac{\text{Δ}\left[\text{A}\right]}{\text{Δt}}$

In this rate expression, the rate of the reaction depends on the concentration of the reactant whose power is raised to one. So, it is the first order rate expression and hence the corresponding reaction is the first order reaction.

-Ve sign indicates the decrease in concentration of the reactant A.

$\left[\text{A}\right]$-Concentration of the reactant A in molarity.

$\text{Δt}\text{-}\text{Time}\text{period}$

$\text{Δ}$- Difference between initial and final states.