Chapter 13, Problem 13.140IME

(a)

Interpretation Introduction

Interpretation:

Order and the rate constant for the given reaction have to be determined.

Concept introduction:

Rate of the reaction is the change in the concentration of reactant or a product with time.

The rate law expresses the relationship of the rate of a reaction to the rate constant.

Rate equation for the general reaction $\text{A+B}\to \text{Product}$ is,

$Rate=\underset{\begin{array}{l}rate\\ constat\end{array}}{k}\left[A\right]\left[B\right]$

Order of a reaction: It is the sum of powers on the concentration terms of reactant in the rate equation.

Half-life is the time required for one half of a reactant to react.

Half-life for a first order reaction is ,$t_{\frac{1}{2}}=\frac{0.693}{k}$

For a first order reaction, half-life is independent of intial cncentration of the reactant.

(b)

Interpretation Introduction

Interpretation:

Initial rate and rate at $30s$ for this reaction has to be determined.

Concept introduction:

Rate of the reaction is the change in the concentration of reactant or a product with time.

Rate equation for the general reaction $\text{A+B}\to \text{Product}$ is,

$Rate=\underset{\begin{array}{l}rate\\ constat\end{array}}{k}\left[A\right]\left[B\right]$

Order of a reaction:  The sum of exponents of the concentrations in the rate law for the reaction is said to be order of a reaction.