Chapter 4, Problem 4.8P

Interpretation Introduction

(a)

Interpretation:

It should be determined that how many independent material balance may be written for this system.

Concept introduction:

The independent material balance is when the stoichiometric equation of anyone of them can not be obtained by adding or subtracting multiples of the stoichiometric equation of the others.

The material balances are non independent; if two molecular species are in same ratio to each other wherever they appear and if two atomic species are in same ratio to each other wherever they occur.

Interpretation Introduction

(b)

Interpretation:

How many of unknown flow rates and mole fractions must be specified before the other may be calculated?

Concept introduction:

In order to understand different variables and components of a system, the analysis of degree of freedom can work better. If the degree of freedom is zero then the problem is specified.

The degree of freedom is explained as:

$F=m-n-p-s$

Where, m is total number of independent stream variables, n is number of independent balances, p is total number of specified terms and s is total number of subsidiary relation.

Interpretation Introduction

(c)

Interpretation:

Supposing the values are given for ${\stackrel{.}{m}}_1$ and $x_{2A}$, then a series of equations should be given involving only a single unknown for the remaining variables. The variables should be circled for which the problem is solved.

Concept introduction:

In order to understand different variables and components of a system, the analysis of degree of freedom can work better. If the degree of freedom is zero then the problem is specified.

The degree of freedom is explained as:

$F=m-n-p-s$

Where, m is total number of independent stream variables, n is number of independent balances, p is total number of specified terms and s is total number of subsidiary relation.