Chapter 4, Problem 4.11P

(a)

Interpretation Introduction

Interpretation:

Rate law for the given reaction has to be written has a function of conversion, numerically evaluating all possible symbols.

Concept introduction:

Rate of a reaction: It represents the speed at which a chemical reaction runs.  How much concentration of substrates (reactants) consumed and how much concentration of targets (products) formed in a unit of time is said to be rate of reaction.

The partial pressure of a gas in a mixture can be expressed as,

$\begin{array}{l}{\text{P}}_{\text{A}}={\text{X}}_{\text{A}}{\text{P}}_{\text{Total}}\\ {\text{P}}_{\text{A}}\to \text{Partial}\text{pressure}\text{of}\text{gas}\text{A}\\ {\text{X}}_{\text{A}}\to \text{Mole}\text{fraction}\text{of}\text{gas}\text{A}\\ {\text{P}}_{\text{Total}}\to \text{Total}\text{pressure}\text{of}\text{mixture}\end{array}$

The ideal gas Law equation is,

$\begin{array}{l}\text{PV}\text{=}\text{nRT}\\ \text{P}\to \text{Pressure}\\ \text{V}\to \text{Volume}\\ \text{n}\to \text{Number}\text{of}\text{moles}\\ \text{R}\to \text{Ideal}\text{gas}\text{constant}\\ \text{T}\to \text{Temperature}\end{array}$

(b)

Interpretation Introduction

Interpretation:

The conversion and the reaction rate have to be calculated.

Concept introduction:

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

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

The rate of the reaction is proportinal to the concentration of A to the power of x, is ${\left[A\right]}^x$.

The rate of the reaction is proportional to the concentration of B to the power of y is ${\left[B\right]}^y$

Then the rate equation becomes,

$Rate=k{\left[A\right]}^x{\left[B\right]}^y$

Rate of a reaction: It represents the speed at which a chemical reaction runs.  How much concentration of substrates (reactants) consumed and how much concentration of targets (products) formed in a unit of time is said to be rate of reaction.

The partial pressure of a gas in a mixture can be expressed as,

$\begin{array}{l}{\text{P}}_{\text{A}}={\text{X}}_{\text{A}}{\text{P}}_{\text{Total}}\\ {\text{P}}_{\text{A}}\to \text{Partial}\text{pressure}\text{of}\text{gas}\text{A}\\ {\text{X}}_{\text{A}}\to \text{Mole}\text{fraction}\text{of}\text{gas}\text{A}\\ {\text{P}}_{\text{Total}}\to \text{Total}\text{pressure}\text{of}\text{mixture}\end{array}$