(a) Interpretation: The response Y ( t ) should be sketched for a step change input U ( s ) =2/s including oscillation and steady state value of Y ( t ) . Concept introduction: For all possible input values, the relationship of input and signal of control system is represented by a transfer function. Visualization of control system is done by using block diagram in which blocks are used to represent the transfer function of the model and arrows are used to represent input and output signals of the system.

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Answer 1

Question

Chapter 5, Problem 5.18E

Interpretation Introduction

(a)

Interpretation:

The response Y(t) should be sketched for a step change input U(s)=2/s including oscillation and steady state value of Y(t).

Concept introduction:

For all possible input values, the relationship of input and signal of control system is represented by a transfer function.

Visualization of control system is done by using block diagram in which blocks are used to represent the transfer function of the model and arrows are used to represent input and output signals of the system.

Interpretation Introduction

(b)

Interpretation:

The decay ratio should be determined.

Concept introduction:

For all possible input values, the relationship of input and signal of control system is represented by a transfer function.

Visualization of control system is done by using block diagram in which blocks are used to represent the transfer function of the model and arrows are used to represent input and output signals of system.

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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…

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Answer 2

Question

Chapter 5, Problem 5.18E

Interpretation Introduction

(a)

Interpretation:

The response Y(t) should be sketched for a step change input U(s)=2/s including oscillation and steady state value of Y(t).

Concept introduction:

For all possible input values, the relationship of input and signal of control system is represented by a transfer function.

Visualization of control system is done by using block diagram in which blocks are used to represent the transfer function of the model and arrows are used to represent input and output signals of the system.

Interpretation Introduction

(b)

Interpretation:

The decay ratio should be determined.

Concept introduction:

For all possible input values, the relationship of input and signal of control system is represented by a transfer function.

Visualization of control system is done by using block diagram in which blocks are used to represent the transfer function of the model and arrows are used to represent input and output signals of system.

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Answer 3

Question

Chapter 5, Problem 5.18E

Interpretation Introduction

(a)

Interpretation:

The response Y(t) should be sketched for a step change input U(s)=2/s including oscillation and steady state value of Y(t).

Concept introduction:

For all possible input values, the relationship of input and signal of control system is represented by a transfer function.

Visualization of control system is done by using block diagram in which blocks are used to represent the transfer function of the model and arrows are used to represent input and output signals of the system.

Interpretation Introduction

(b)

Interpretation:

The decay ratio should be determined.

Concept introduction:

For all possible input values, the relationship of input and signal of control system is represented by a transfer function.

Visualization of control system is done by using block diagram in which blocks are used to represent the transfer function of the model and arrows are used to represent input and output signals of system.

Expert Solution & Answer

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Answer 4

Question

Chapter 5, Problem 5.18E

Interpretation Introduction

(a)

Interpretation:

The response Y(t) should be sketched for a step change input U(s)=2/s including oscillation and steady state value of Y(t).

Concept introduction:

For all possible input values, the relationship of input and signal of control system is represented by a transfer function.

Visualization of control system is done by using block diagram in which blocks are used to represent the transfer function of the model and arrows are used to represent input and output signals of the system.

Interpretation Introduction

(b)

Interpretation:

The decay ratio should be determined.

Concept introduction:

For all possible input values, the relationship of input and signal of control system is represented by a transfer function.

Visualization of control system is done by using block diagram in which blocks are used to represent the transfer function of the model and arrows are used to represent input and output signals of system.

Expert Solution & Answer

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Answer 5

Chapter 5, Problem 5.18E

Interpretation Introduction

(a)

Interpretation:

The response Y(t) should be sketched for a step change input U(s)=2/s including oscillation and steady state value of Y(t).

Concept introduction:

For all possible input values, the relationship of input and signal of control system is represented by a transfer function.

Visualization of control system is done by using block diagram in which blocks are used to represent the transfer function of the model and arrows are used to represent input and output signals of the system.

Interpretation Introduction

(b)

Interpretation:

The decay ratio should be determined.

Concept introduction:

For all possible input values, the relationship of input and signal of control system is represented by a transfer function.

Visualization of control system is done by using block diagram in which blocks are used to represent the transfer function of the model and arrows are used to represent input and output signals of system.

Answer 6

Chapter 5, Problem 5.18E

Interpretation Introduction

(a)

Interpretation:

The response Y(t) should be sketched for a step change input U(s)=2/s including oscillation and steady state value of Y(t).

Concept introduction:

For all possible input values, the relationship of input and signal of control system is represented by a transfer function.

Visualization of control system is done by using block diagram in which blocks are used to represent the transfer function of the model and arrows are used to represent input and output signals of the system.

Answer 7

Chapter 5, Problem 5.18E

Interpretation Introduction

(a)

Interpretation:

The response Y(t) should be sketched for a step change input U(s)=2/s including oscillation and steady state value of Y(t).

Concept introduction:

For all possible input values, the relationship of input and signal of control system is represented by a transfer function.

Visualization of control system is done by using block diagram in which blocks are used to represent the transfer function of the model and arrows are used to represent input and output signals of the system.

Answer 8

Interpretation Introduction

(b)

Interpretation:

The decay ratio should be determined.

Concept introduction:

For all possible input values, the relationship of input and signal of control system is represented by a transfer function.

Visualization of control system is done by using block diagram in which blocks are used to represent the transfer function of the model and arrows are used to represent input and output signals of system.

Answer 9

Interpretation Introduction

(b)

Interpretation:

The decay ratio should be determined.

Concept introduction:

For all possible input values, the relationship of input and signal of control system is represented by a transfer function.

Visualization of control system is done by using block diagram in which blocks are used to represent the transfer function of the model and arrows are used to represent input and output signals of system.

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

Solution Summary: The author explains how the input and output signals of the control system are represented by a transfer function.

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Chapter 5 Solutions