Chapter 14.3, Problem 1RC

(a)

Interpretation Introduction

Interpretation:

Half-life 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.

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

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

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

Half-life for a first order reaction is $t_{\frac{1}{2}}=\frac{0.693}{k}$ ; half-life for a first order reaction is independent of initial concentration of reactant

(b)

Interpretation Introduction

Interpretation:

The number of molecules of A and B present at $\text{t}\text{=}\text{20}\text{s}\text{and}\text{t}\text{=}\text{30s}$ 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,

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

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

Half-life for a first order reaction is $t_{\frac{1}{2}}=\frac{0.693}{k}$ ; half-life for a first order reaction is independent of initial concentration of reactant