Chapter 14, Problem 14.78QP

(a)

Interpretation Introduction

Interpretation:

The reaction which has greater rate constant should be determined from the given plots of concentration of reactant versus time for two first order reaction at the same temperature.

Concept introduction:

Rate of the reaction is the change in the concentration of reactant or a product with time. It can be varied in accordance with temperature, pressure, concentration, presence of catalyst, surface area…

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

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

Rate constants are independent of concentration but depend on other factors, most notably temperature.

The reaction with the faster rate will have the larger rate constant.

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.

(b)

Interpretation Introduction

Interpretation:

The reaction which has greater rate constant should be determined from the given plots of concentration of reactant versus time for two first order reaction at the same temperature.

Concept introduction:

Rate of the reaction is the change in the concentration of reactant or a product with time. It can be varied in accordance with temperature, pressure, concentration, presence of catalyst, surface area…

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

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

Integrated rate law for a first order reaction is,

$-kt=\ln \left(\frac{\left[A\right]}{\left[A_0\right]}\right)$

$\left[A\right]$ is the concentration of reactant A at time t ${\left[A\right]}_0$ is the  initial concentration of reactant, k is the rate constant.

Rate constants are independent of concentration but depend on other factors, most notably temperature.

The reaction with the faster rate will have the larger rate constant.

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.