Chapter 6, Problem 6C.11E

Interpretation Introduction

Interpretation:

The time required for the concentration of A to change from $0.460mol/d{m}^{-3}$ $to0.466mol/d{m}^{-3}$ has to be calculated.

Concept Introduction:

The exponent of every reactant can be experimentally determined by the rate law that is called as order of reactant for that reactant.

The overall order of the reaction will be equal to the total orders of the reactant species in the rate law.  If the overall order of the reaction is three, the reaction is third order overall.

Integrated rate law for second order reactions:

Taking in the example of following reaction,

    $\text{aA}\to \text{products}$

And the reaction follows second order rate law,

Then the relationship between the concentration of $\text{A}$ and time can be mathematically expressed as,

    $\frac{\text{1}}{{\left[\text{A}\right]}_{\text{t}}}\text{=kt+}\frac{\text{1}}{{\left[\text{A}\right]}_{\text{0}}}$

The above expression is called as integrated rate for second order reactions.