(a) Interpretation: The transfer function model needs to be derived. Concept introduction: Steady-state gain is the steady-state value of a transfer function that has been attended by a given unit step in the input.

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Chapter 5, Problem 5.17E

Interpretation Introduction

(a)

Interpretation:

The transfer function model needs to be derived.

Concept introduction:

Steady-state gain is the steady-state value of a transfer function that has been attended by a given unit step in the input.

Interpretation Introduction

(b)

Interpretation:

Whether the transfer function is unique or not needs to be determined.

Concept introduction:

A transfer function is a simple way to represent a continuous, time-invariant system in terms of its input-output relationship. The transition method is accomplished by adding a Laplace transform to the differential equations representing a dynamic process, given no initial conditions.

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Problem 2. For an irreversible liquid phase reaction A -> B, the reaction rate is of the first order with respect to the reactant concentration C_A. this reaction is performed in a cascade of two identical CSTRs at 100 degrees Celsius. (same reactor size and isothermal). The inlet concentration of A of the first CSTR is 2mol/L. The outlet concentration of A of the 2nd CSTR is 0.5 mol/L. the inlet flow rate of the 1st reactor is 100 L/h. and the feed temperature is 20 degrees Celsius. The average heat capacity of the reactant/product/solvent mixture is a constant: 2J/g*K, the density of the mixture is a constant: 1 kg/L. The heat of reaction is 50 kJ/mol (exothermic). The reaction rate constant at 100 degrees Celsius is 0.5/h. (a) Determine the outlet concentration of A of the first CSTR (b) What is the heat transfer requirement for the first CSTR? (c) if this reaction is performed in a plug-flow reactor, what is the size of plug-flow reactor required for achieving the same conversion…

Answer 2

Question

Chapter 5, Problem 5.17E

Interpretation Introduction

(a)

Interpretation:

The transfer function model needs to be derived.

Concept introduction:

Steady-state gain is the steady-state value of a transfer function that has been attended by a given unit step in the input.

Interpretation Introduction

(b)

Interpretation:

Whether the transfer function is unique or not needs to be determined.

Concept introduction:

A transfer function is a simple way to represent a continuous, time-invariant system in terms of its input-output relationship. The transition method is accomplished by adding a Laplace transform to the differential equations representing a dynamic process, given no initial conditions.

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Answer 3

Question

Chapter 5, Problem 5.17E

Interpretation Introduction

(a)

Interpretation:

The transfer function model needs to be derived.

Concept introduction:

Steady-state gain is the steady-state value of a transfer function that has been attended by a given unit step in the input.

Interpretation Introduction

(b)

Interpretation:

Whether the transfer function is unique or not needs to be determined.

Concept introduction:

A transfer function is a simple way to represent a continuous, time-invariant system in terms of its input-output relationship. The transition method is accomplished by adding a Laplace transform to the differential equations representing a dynamic process, given no initial conditions.

Expert Solution & Answer

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Answer 4

Question

Chapter 5, Problem 5.17E

Interpretation Introduction

(a)

Interpretation:

The transfer function model needs to be derived.

Concept introduction:

Steady-state gain is the steady-state value of a transfer function that has been attended by a given unit step in the input.

Interpretation Introduction

(b)

Interpretation:

Whether the transfer function is unique or not needs to be determined.

Concept introduction:

A transfer function is a simple way to represent a continuous, time-invariant system in terms of its input-output relationship. The transition method is accomplished by adding a Laplace transform to the differential equations representing a dynamic process, given no initial conditions.

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Answer 5

Chapter 5, Problem 5.17E

Interpretation Introduction

(a)

Interpretation:

The transfer function model needs to be derived.

Concept introduction:

Steady-state gain is the steady-state value of a transfer function that has been attended by a given unit step in the input.

Interpretation Introduction

(b)

Interpretation:

Whether the transfer function is unique or not needs to be determined.

Concept introduction:

A transfer function is a simple way to represent a continuous, time-invariant system in terms of its input-output relationship. The transition method is accomplished by adding a Laplace transform to the differential equations representing a dynamic process, given no initial conditions.

Answer 6

Chapter 5, Problem 5.17E

Interpretation Introduction

(a)

Interpretation:

The transfer function model needs to be derived.

Concept introduction:

Steady-state gain is the steady-state value of a transfer function that has been attended by a given unit step in the input.

Answer 7

Chapter 5, Problem 5.17E

Interpretation Introduction

(a)

Interpretation:

The transfer function model needs to be derived.

Concept introduction:

Steady-state gain is the steady-state value of a transfer function that has been attended by a given unit step in the input.

Answer 8

Interpretation Introduction

(b)

Interpretation:

Whether the transfer function is unique or not needs to be determined.

Concept introduction:

A transfer function is a simple way to represent a continuous, time-invariant system in terms of its input-output relationship. The transition method is accomplished by adding a Laplace transform to the differential equations representing a dynamic process, given no initial conditions.

Answer 9

Interpretation Introduction

(b)

Interpretation:

Whether the transfer function is unique or not needs to be determined.

Concept introduction:

A transfer function is a simple way to represent a continuous, time-invariant system in terms of its input-output relationship. The transition method is accomplished by adding a Laplace transform to the differential equations representing a dynamic process, given no initial conditions.

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 5 - Prob. 5.1E Ch. 5 - Prob. 5.2E Ch. 5 - Prob. 5.3E Ch. 5 - Prob. 5.4E Ch. 5 - Prob. 5.5E Ch. 5 - Prob. 5.6E Ch. 5 - Appelpolscher has just left a meeting with Stella...Ch. 5 - Prob. 5.8E Ch. 5 - Prob. 5.9E Ch. 5 - Prob. 5.10E

(a) Interpretation: The transfer function model needs to be derived. Concept introduction: Steady-state gain is the steady-state value of a transfer function that has been attended by a given unit step in the input.

Solution Summary: The author explains that the transfer function model needs to be derived. The equation exhibits second-order dynamics.

(a)

Interpretation:

The transfer function model needs to be derived.

Concept introduction:

Steady-state gain is the steady-state value of a transfer function that has been attended by a given unit step in the input.

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Chapter 5 Solutions