The transfer function models and the expressions for the gains and the time constants for the given process are to be determined. Also, the output responses for a unit step change in Q and w are to be determined. Concept introduction: For chemical processes, dynamic models consisting ordinary differential equations are derived through unsteady-state conservation laws. These laws generally include mass and energy balances. The process models generally include algebraic relationships which commence from thermodynamics , transport phenomena , chemical kinetics, and physical properties of the processes. The difference in the actual variable ( y ) and the original variable ( y ¯ ) is known as deviation variable ( y ′ ) . It is generally used while modelling a process. Mathematically it is defined as: y ′ = y − y ¯ In steady-state process, the accumulation in the process is taken as zero.

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Answer 1

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Chapter 6, Problem 6.20E

Interpretation Introduction

Interpretation:

The transfer function models and the expressions for the gains and the time constants for the given process are to be determined. Also, the output responses for a unit step change in Q and w are to be determined.

Concept introduction:

For chemical processes, dynamic models consisting ordinary differential equations are derived through unsteady-state conservation laws. These laws generally include mass and energy balances.

The process models generally include algebraic relationships which commence from thermodynamics, transport phenomena, chemical kinetics, and physical properties of the processes.

The difference in the actual variable (y) and the original variable (y¯) is known as deviation variable (y′). It is generally used while modelling a process. Mathematically it is defined as:

y′=y−y¯

In steady-state process, the accumulation in the process is taken as zero.

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Answer 2

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Chapter 6, Problem 6.20E

Interpretation Introduction

Interpretation:

The transfer function models and the expressions for the gains and the time constants for the given process are to be determined. Also, the output responses for a unit step change in Q and w are to be determined.

Concept introduction:

For chemical processes, dynamic models consisting ordinary differential equations are derived through unsteady-state conservation laws. These laws generally include mass and energy balances.

The process models generally include algebraic relationships which commence from thermodynamics, transport phenomena, chemical kinetics, and physical properties of the processes.

The difference in the actual variable (y) and the original variable (y¯) is known as deviation variable (y′). It is generally used while modelling a process. Mathematically it is defined as:

y′=y−y¯

In steady-state process, the accumulation in the process is taken as zero.

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Answer 3

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Chapter 6, Problem 6.20E

Interpretation Introduction

Interpretation:

The transfer function models and the expressions for the gains and the time constants for the given process are to be determined. Also, the output responses for a unit step change in Q and w are to be determined.

Concept introduction:

For chemical processes, dynamic models consisting ordinary differential equations are derived through unsteady-state conservation laws. These laws generally include mass and energy balances.

The process models generally include algebraic relationships which commence from thermodynamics, transport phenomena, chemical kinetics, and physical properties of the processes.

The difference in the actual variable (y) and the original variable (y¯) is known as deviation variable (y′). It is generally used while modelling a process. Mathematically it is defined as:

y′=y−y¯

In steady-state process, the accumulation in the process is taken as zero.

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Answer 4

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Chapter 6, Problem 6.20E

Interpretation Introduction

Interpretation:

The transfer function models and the expressions for the gains and the time constants for the given process are to be determined. Also, the output responses for a unit step change in Q and w are to be determined.

Concept introduction:

For chemical processes, dynamic models consisting ordinary differential equations are derived through unsteady-state conservation laws. These laws generally include mass and energy balances.

The process models generally include algebraic relationships which commence from thermodynamics, transport phenomena, chemical kinetics, and physical properties of the processes.

The difference in the actual variable (y) and the original variable (y¯) is known as deviation variable (y′). It is generally used while modelling a process. Mathematically it is defined as:

y′=y−y¯

In steady-state process, the accumulation in the process is taken as zero.

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Answer 6

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Answer 7

Chapter 6, Problem 6.20E

Interpretation Introduction

Interpretation:

The transfer function models and the expressions for the gains and the time constants for the given process are to be determined. Also, the output responses for a unit step change in Q and w are to be determined.

Concept introduction:

For chemical processes, dynamic models consisting ordinary differential equations are derived through unsteady-state conservation laws. These laws generally include mass and energy balances.

The process models generally include algebraic relationships which commence from thermodynamics, transport phenomena, chemical kinetics, and physical properties of the processes.

The difference in the actual variable (y) and the original variable (y¯) is known as deviation variable (y′). It is generally used while modelling a process. Mathematically it is defined as:

y′=y−y¯

In steady-state process, the accumulation in the process is taken as zero.

Answer 8

Chapter 6, Problem 6.20E

Interpretation Introduction

Interpretation:

The transfer function models and the expressions for the gains and the time constants for the given process are to be determined. Also, the output responses for a unit step change in Q and w are to be determined.

Concept introduction:

For chemical processes, dynamic models consisting ordinary differential equations are derived through unsteady-state conservation laws. These laws generally include mass and energy balances.

The process models generally include algebraic relationships which commence from thermodynamics, transport phenomena, chemical kinetics, and physical properties of the processes.

The difference in the actual variable (y) and the original variable (y¯) is known as deviation variable (y′). It is generally used while modelling a process. Mathematically it is defined as:

y′=y−y¯

In steady-state process, the accumulation in the process is taken as zero.

Answer 9

Chapter 6, Problem 6.20E

Interpretation Introduction

Interpretation:

The transfer function models and the expressions for the gains and the time constants for the given process are to be determined. Also, the output responses for a unit step change in Q and w are to be determined.

Concept introduction:

For chemical processes, dynamic models consisting ordinary differential equations are derived through unsteady-state conservation laws. These laws generally include mass and energy balances.

The process models generally include algebraic relationships which commence from thermodynamics, transport phenomena, chemical kinetics, and physical properties of the processes.

The difference in the actual variable (y) and the original variable (y¯) is known as deviation variable (y′). It is generally used while modelling a process. Mathematically it is defined as:

y′=y−y¯

In steady-state process, the accumulation in the process is taken as zero.

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 6 - Prob. 6.1E Ch. 6 - Prob. 6.2E Ch. 6 - Prob. 6.3E Ch. 6 - Prob. 6.4E Ch. 6 - Prob. 6.5E Ch. 6 - Prob. 6.6E Ch. 6 - Prob. 6.7E Ch. 6 - Prob. 6.8E Ch. 6 - Prob. 6.9E Ch. 6 - Prob. 6.10E

Solution Summary: The author explains how the transfer function models and expressions for the gains and time constants are to be determined.

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Chapter 6 Solutions