Chapter 4, Problem 4.5P

(a)

Interpretation Introduction

Interpretation:

The rate of the reaction only as a function of conversion is to be stated. The CSTR space-time $\left(\tau \right)$ for $90\%$ conversion at $300\text{K}$ and $350\text{K}$ is to be calculated.  Also, the reactor volumes at the volumetric flow rate of $200$ liters per second are to be calculated.

Concept Introduction:

The rate law of the chemical reaction states that the rate of reaction is the function of the concentration of the reactants and the products present in that specific reaction. The rate is actually predicted by the slowest step of the reaction.

If there is a chemical reaction which has reactants A and B that reacts to form products then their rate law is given as follows.

    $r=k{\left[A\right]}^a{\left[B\right]}^b$

Here, $\left[A\right]$ is the concentration of the reactant A, $\left[B\right]$ is the concentration of the reactant B and $k$ is the rate constant.

(b)

Interpretation Introduction

Interpretation:

A stoichiometric table for the isothermal, isobaric gas-phase pyrolysis is to be drawn. The rate of the reaction only as a function of conversion is to be stated. When the reaction was occurs in a constant-volume batch reactor, the changes in the equations of the concentration and reaction rate are to be stated.

Concept Introduction:

The rate law of the chemical reaction states that the rate of reaction is the function of the concentration of the reactants and the products present in that specific reaction. The rate is actually predicted by the slowest step of the reaction.

(c)

Interpretation Introduction

Interpretation:

A stoichiometric table for the isothermal, isobaric, catalytic gas-phase oxidation is to be drawn. The rate of the reaction only as a function of partial pressures is to be stated. The partial pressures and the rate as a function of conversion are to be expressed for (1) a fluidized batch reactor and (2) for a PBR. Also, the rate of the reaction only as a function of the rate constant and conversion is to be stated.

Concept Introduction:

The rate law of the chemical reaction states that the rate of reaction is the function of the concentration of the reactants and the products present in that specific reaction. The rate is actually predicted by the slowest step of the reaction.

(d)

Interpretation Introduction

Interpretation:

A stoichiometric table for the isothermal, isobaric, catalytic gas-phase reaction is to be drawn. The weight of catalyst needed to reach $80\%$ conversion in a fluidized CSTR at $\text{170}{}^{\text{ο}}\text{C}$ and at $\text{270}{}^{\text{ο}}\text{C}$ is to be calculated. The rate law in terms of partial pressures is to be written and then the rate law as a function of conversion is to be expressed.

Concept Introduction:

The rate law of the chemical reaction states that the rate of reaction is the function of the concentration of the reactants and the products present in that specific reaction. The rate is actually predicted by the slowest step of the reaction.