Chapter 2, Problem 2.36P

Interpretation Introduction

(a)

Interpretation:

The general form of an expression for $C_{\text{D}}$ as a function of $C_{\text{C}}$ is to be determined.

Concept introduction:

For a reaction of the form

$\text{A}+\text{B}\to \text{C}$

The general equation for its rate in terms of concentration of $\text{C}$ and $n^{\text{th}}$ order reaction will be:

$\frac{d{C}_{\text{C}}}{dt}=k{\left(C_{\text{A}}\right)}^r{\left(C_{\text{B}}\right)}^s$ ......... (1)

Here, $C_{\text{A}}$ is the concentration of reactant $\text{A}$ with order $r$ and $C_{\text{B}}$ is the concentration of reactant $\text{B}$ with order $s$. The overall order of the reaction is:

$n=r+s$

Interpretation Introduction

(b)

Interpretation:

The expression for $C_{\text{D}}$ as a function of $C_{\text{C}}$ is to be derived.

Concept introduction:

For a reaction of the form

$\text{A}+\text{B}\to \text{C}$

The general equation for its rate in terms of concentration of $\text{C}$ and $n^{\text{th}}$ order reaction will be:

$\frac{d{C}_{\text{C}}}{dt}=k{\left(C_{\text{A}}\right)}^r{\left(C_{\text{B}}\right)}^s$

Here, $C_{\text{A}}$ is the concentration of reactant $\text{A}$ with order $r$ and $C_{\text{B}}$ is the concentration of reactant $\text{B}$ with order $s$. The overall order of the reaction is:

$n=r+s$

For the equation of type $y=\text{a}{x}^{\text{b}}$ and given points $\left(x_1,y_1\right)\text{ and }\left(x_2,y_2\right)$, slope $\text{b}$ is calculated as:

$\text{b}=\frac{\log y_2-\log y_1}{\log x_2-\log x_1}$ ......... (4)

And intercept $\text{a}$ is calculated using the slope and one of the given points.

Interpretation Introduction

(c)

Interpretation:

The concentration of $\text{C}$ when the reactor is stopped is to be calculated.

Concept introduction:

For a reaction of the form,

$\text{A}+\text{B}\to \text{C}$

The general equation for its rate in terms of concentration of $\text{C}$ and $n^{\text{th}}$ order reaction will be:

$\frac{d{C}_{\text{C}}}{dt}=k{\left(C_{\text{A}}\right)}^r{\left(C_{\text{B}}\right)}^s$

Here, $C_{\text{A}}$ is the concentration of reactant $\text{A}$ with order $r$ and $C_{\text{B}}$ is the concentration of reactant $\text{B}$ with order $s$. The overall order of the reaction is:

$n=r+s$

Interpretation Introduction

(d)

Interpretation:

The major argument to support and to also to reject the proposal for not stopping the reaction until $C_{\text{D}}=13\text{mol}/\text{L}$.